Okay so Jack started with 50 chocolates, and ended with 2.
The simple way to calculate it would be by realizing that Jack only distributed 48 chocolates. We can find how many times 3 fits into 48 by dividing [tex]48\div3=16[/tex].
Using algebra, we substitute the value we want to find with [tex]x[/tex]. Here what we want to find is the number of friends that were at Jack's party.
We know that he started with 50 chocolates, then distributed [tex]3\times[/tex] the number of friends present (which is [tex]x[/tex]).
We write that down as [tex]50-3x[/tex]
(It's minus because when chocolates are distributed, Jack is taking away from what he has.)
We know that after this, there were only 2 chocolates left, so it's
[tex]\underline{\bold{50-3x=2}}[/tex]
Then we proceed by moving all the numbers to the right until only [tex]x[/tex] is left:
[tex]-3x=2-50[/tex]
[tex]-3x=-48[/tex]
[tex]x=\dfrac{-48}{-3}[/tex]
[tex]\boxed{\bold{x=16}}[/tex]
Conclusion: The number of people that attended the party was 16.
23. y = x + 5; (4, -3)
Answer:
y=x+5;1
Step-by-step explanation:
Hope this helps! =D
Part A--What is the measure of angle "a" and how do you know? Use vocabulary words to justify your answer. Show your work. Part B--What is the measure of angle "b" and how do you know? Show your work. Part C--What is the measure of angle "c" and how do you know? Show your work. Two straight lines intersect at a point to form angle a. The measure of the angle opposite to angle a is 30 degrees. Angle a is the angle of a right triangle having another angle equal to b. A triangle with one angle labeled c is on the left of the figure. The angle adjacent to c is labeled 75 degrees
The measure of angle a is 30° , angle b is 60° and angle c is 105° calculated from the properties of angles and of triangle.
When two straight lines intersect each other at some angle, say line AB intersect line CD, then the opposite angles formed by the two lines are called vertically opposite angles. A pair of vertically opposite angles are equal to each other.
Angle a is formed at the intersection of the two straight lines, say AB and CD. The angle opposite to angle is 30°.
Thus from the definition of vertically opposite angles we get,
Angle a = 30° , since pair of vertically opposite angles are equal to each other.
In a right angle triangle one of three angles is 90° and the other two angles are acute angles. The sum of all the angles of a triangle is 180°.
Say ΔMNO is a right angle triangle where angle a is one of the other two acute angles (where angle a = 30°).
The third angle (acute) is b.
Thus from the sum of triangle we get,
Angle a + Angle b + 90° = 180°
⇒ 30° + Angle b + 90° = 180°
⇒ Angle b = 60°
Here angle c is an angle labelled in a triangle (on the left of the previous triangle, say ΔMNO).
Two angles are said to be adjacent angles when they have a common vertex and side. The pair of adjacent angles sum to 180° , that is they are supplementary angles.
The adjacent angle of Angle c is 75°.
Thus, Angle c + 75° = 180°
⇒ Angle c = 105°
To know more about properties of lines and triangles here
https://brainly.com/question/24114468
#SPJ4
Find the area of the shaded regions:
Please help!!!
The areas of the composite figures are listed below:
Case 6: A = 134.126 ft²
Case 7: A = 212.5 cm²
Case 8: A = 957.305 m²
Case 9: A = 316.643 in²
How to determine the area of a composite figure
In this problem we find four cases of composite figure, that is, figures that are the result of adding and subtracting figures, whose area formulas are introduced below:
Semicircle
A = 0.5π · r²
Circle
A = π · r²
Triangle
A = 0.5 · b · h
Rectangle
A = b · h
Where:
A - Arear - Radiusb - Baseh - HeightNow we proceed to determine the area of each composite figure:
Case 6
A = (25 ft)² - π · (12.5 ft)²
A = 134.126 ft²
Case 7
A = (25 cm) · (14 cm) - 0.5 · (25 cm) · (11 cm)
A = 212.5 cm²
Case 8
A = 0.5π · [(21.6 m)² + (9 m)²] + 0.5 · (21.6 m) · (9 m)
A = 957.305 m²
Case 9
A = 0.5 · (20 in) · √[(25 in)² - (20 in)²] + (17 in) · √[(25 in)² - (20 in)²] - 0.5π · 0.25 · [(25 in)² - (20 in)²]
A = 316.643 in²
To learn more on areas of composite figures: https://brainly.com/question/23718948
#SPJ1
Madison owns a bakery named Cakes and Happiness Bakery. She sells cakes for $20 and sells additional baked goods for $5. How much money should she be making in 2 months if she sells an average of 5 cakes a week and 10 baked goods?
A- $1,050
B- $4,200
C-16,800
(this is just for fun, it's made up. feel free to ask questions fr tho :)
Answer:
The total amount Madison should be making in 2 months can be calculated as follows:
Number of cakes sold in 2 months: 5 cakes/week x 4 weeks/month x 2 months = 40 cakes
Number of baked goods sold in 2 months: 10 baked goods/week x 4 weeks/month x 2 months = 80 baked goods
Total revenue from cake sales: 40 cakes x $20/cake = $800
Total revenue from baked goods sales: 80 baked goods x $5/baked good = $400
Total revenue from both cake and baked goods sales: $800 + $400 = $1,200
Therefore, the correct answer is not listed among the options provided. The correct answer should be $1,200.
Did i get it right?
Solve the quadratic equation x² +9x = 0 by
factoring the GCF.
Answer: x=0 and x=-9
Step-by-step explanation:
The Wigwam Motel in Holbrook, Arizona is famous for its large tepees, which are shaped like cones. Each of these units has a base diameter of 14 feet and a height of 32 feet. (a) What is the slant height of the Teepees at the Wigwam Motel? Please make sure to use the Pythagorean Theorem and show your work. (b) (1. 5 pts) For extra credit, how much floor space, in square units, is available inside each tepee?
The Wigwam Motel in Holbrook, Arizona is famous for its large tepees shaped like cones. the floor space inside each tepee is approximately 153.94 square feet.
(a) To find the slant height of the tepee, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle with the height and the radius of the base as the legs.
The radius of the base is half of the diameter, so r = 14/2 = 7 feet. The height of the tepee is 32 feet. Let's call the slant height "s".
Using the Pythagorean theorem, we have:
s² = r² + h²
s² = 7² + 32²
s² = 49 + 1024
s² = 1073
s = sqrt(1073)
s ≈ 32.77 feet
Therefore, the slant height of the tepee is approximately 32.77 feet.
(b) To find the floor space inside the tepee, we need to calculate the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(7)²
A = 49π
A ≈ 153.94 square feet
Therefore, the floor space inside each tepee is approximately 153.94 square feet.
To know more about radius check the below link:
https://brainly.com/question/24375372
#SPJ1
A cylindrical can holds three balls. The balls touch the top, bottom and sides of the can. The radius of one ball is 6 cm. Find the volume of the remaining space inside the cylinder. Use 3.14 for π. please someone help me.
Answer:
16286.01632
Step-by-step explanation:
V=πr2h=π·122·36≈16286.01632
Suppose that Leni and Thom are lawyers and each has a taxable income of $230,000. They can't decide if they should be married in December or in January. If they marry in December, then they are considered married for the entire tax year and could file a joint return. If they get married in January of the next year, they would file a separate return each as a single taxpayer. Examine Schedules X and Y-1. Which filing status would yield the lower tax? If so, by how much? is there really a marriage penalty?
Getting married in December and filing a joint return would result in a lower tax liability by: $65,917.
Based on the given tax schedules, if Leni and Thom get married in December and file a joint return, their total tax liability would be:
$4,220 for the first $19,900 of taxable income
$20,227 for the remaining $210,100 of taxable income ($230,000 - $19,900)
Total tax liability: $24,447
If they get married in January of the next year and file separate returns, each as a single taxpayer, their total tax liability would be:
Leni's tax liability: $45,182
Thom's tax liability: $45,182
Total tax liability: $90,364
Therefore, getting married in December and filing a joint return would result in a lower tax liability by: $90,364 - $24,447 = $65,917.
For more details regarding liability, visit:
https://brainly.com/question/29857441
#SPJ1
find the lemgth of arc PQ
The arc length is D) 3.14 meters.
What is arc length?
In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.
It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.
The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.
[tex]A_L=\frac{\theta}{360\textdegree}2\pi r[/tex]
Here the give circle Radius PR = 3m and θ=60°.
Now using arc length formula then,
=> Arc length [tex]A_L=\frac{\theta}{360\textdegree}2\pi r[/tex]
=> [tex]A_L=\frac{60}{360} \times2\times3.14\times3[/tex]
=> [tex]A_L=\frac{1}{6}\times2\times3.14\times3[/tex]
=> [tex]A_L[/tex] = 3.14 m.
Hence the arc length is D) 3.14 meters.
Learn more about Arc length at
https://brainly.com/question/28108430
#SPJ1
PLEASE HELP!!!!!!!!
The box plots below show attendance at a local movie theater and high school basketball games:
Two box plots shown. The top one is labeled Movies. Minimum at 60, Q1 at 65, median at 95, Q3 at 125, maximum at 150. The bottom box plot is labeled Basketball games. Minimum at 90, Q1 at 95, median at 125, Q3 at 145, maximum at 150. Which of the following best describes how to measure the spread of the data?
a. The IQR is a better measure of spread for movies than it is for basketball games.
b. The standard deviation is a better measure of spread for movies than it is for basketball games.
c. The IQR is the best measurement of spread for games and movies.
d. The standard deviation is the best measurement of spread for games and movies.
a) 'The IQR is a better measure of spread for movies than it is for basketball games' best describes how to measure the spread of the data
According to the information provided, the box plots for movies and basketball games indicate that both have the same range of attendance data, with a minimum of 60 and a maximum of 150. However, when comparing the interquartile ranges (IQRs) of the two box plots, it can be seen that the IQR for movies is smaller than the IQR for basketball games.
The IQR represents the middle 50% of the data, and the smaller IQR for movies suggests that the attendance data for movies is more closely clustered around the median than the attendance data for basketball games. Therefore, the IQR is a better measure of spread for movies than it is for basketball games, as it gives a more accurate representation of the variability of the data for movies.
To learn more about IQR here:
https://brainly.com/question/31207390
#SPJ1
1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.
The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant
Describing the basic characteristicsAn independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.
In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.
The main characteristics of an independent measures design are:
Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.Read more about research study at
https://brainly.com/question/13274149
#SPJ1
if you throw exactly two heads in two tosses of a coin you win $120 . if not, you pay me $37 . step 2 of 2 : if you played this game 742 times how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values.
If we throw, a coin in twice, then pay off for throw exactly two heads is $120. The expected win value in the game in 742 trials is equals to the $1669.5.
We have to two tosses a coin and we gift with payouts according to results of tossing. When we throw exactly two heads in two tosses of a coin, then pay out is $120. If not throw two heads then payout is $37… Now, number of times we play the game that is trials = 742
We have to determine value of expected value to win or loss for 742 trials. First we determine the excepted value of proposition. Total possible outcomes on two tosses of a coin = 4 = {HH,TT, HT, TH}
Probability of throwing two heads = 1/4
= 0.25
Probability of not throwing two heads
= 1 - 1/4 = 3/4 = 0.75
That is when x (pay off) = $120, P( x)
= 0.25 ; x (payout) = -$37, P( X) = 0.75. Now, the excepted value formula is written as, [tex]E( x) = \sum x× P(x) [/tex]
= $120 × 0.25 - $37 ×0.75
= $2.25
So, the expected value of win with 575 trials of gane = 2.25 × 742
= 1669.5
Hence, required excepted win value is $1669.5.
For more information about expected value, visit :
https://brainly.com/question/24305645
#SPJ4
Please solve these two equations by writing them in standard form helppppp ASAP
The equation in standard form is (x- (-12))² + (y - 0)² = (√164)²
How to write the equation of a circle in standard form?The standard form of the equation of a circle is
(x-a)² + (y-b)² = r²
where (a, b) is the center and r is the radius
Using the completing square method on the given equation:
24x + y² = -x² + 20
x²+ 24x + y² = 20
[x² + 24x + (12)²] + [y² + 0x + (0)²] = 20 + (12)²
(x + 12)² + (y + 0)² = 164
(x - (-12))² + (y - 0)² = 164
(x- (-12))² + (y-0)² = (√164)²
Learn more about equation of a circle on:
brainly.com/question/150695
#SPJ1
Graph y=−4/7x+1.
Use the line tool and select two points on the line to graph the line.
To graph the line y=−4/7x+1, we can use the slope-intercept form of a linear equation, y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -4/7 and the y-intercept is 1.
To plot the line, we can select two points on the line and connect them with a straight line. One easy way to do this is to set x=0 and solve for y to find the y-intercept, which is (0,1). Then, we can set y=0 and solve for x to find another point on the line. This gives us (-7/4,0).
Once we have these two points, we can use a straight edge or ruler to draw a line through them to represent the graph of the equation. It should be a downward-sloping line that intercepts the y-axis at (0,1).
Alternatively, we can use a graphing calculator or an online graphing tool to plot the line more accurately. This will allow us to see more clearly the shape and direction of the line, as well as any other important features such as intercepts, slopes, and points of intersection with other lines.
To learn more about graph here:
https://brainly.com/question/17267403
#SPJ1
HELP PLEASE I NEED THIS DONE ASAP
Answer:5
Step-by-step explanation:
it would be 5 because
1. 76x8. 2. 84x9
3. 68x4
4. 32x6 PART 1
5. 59x7
6. 74x8
7. 68x8
8. 95x9
9. 84x5
10. 22x4
11. 48x5
12. 84x8
13. 76x9
14. 89x9
15. 63x5
16. 32x9
17. 63x8
18. 79x9
19. 78x5
20. 49x4
21. 94x6
The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
1. 76 x 8 = 608
2. 84 x 9 = 756
3. 68 x 4 = 272
4. 32 x 6 = 192
PART 2
5. 59 x 7 = 413
6. 74 x 8 = 592
7. 68 x 8 = 544
8. 95 x 9 = 855
9. 84 x 5 = 420
10. 22 x 4 = 88
11. 48 x 5 = 240
12. 84 x 8 = 672
13. 76 x 9 = 684
14. 89 x 9 = 801
15. 63 x 5 = 315
16. 32 x 9 = 288
17. 63 x 8 = 504
18. 79 x 9 = 711
19. 78 x 5 = 390
20. 49 x 4 = 196
21. 94 x 6 = 564
Therefore, The arithmetic sequence is 49 x 4 = 196, 94 x 6 = 564
To learn more about arithmetic sequence from the given link:
https://brainly.com/question/15412619
#SPJ4
PLEASE HELP ME WHOVER GEST IT RIGHT WILL BE THE BRAINLIEST
Answer:
Step-by-step explanation:
<ABC is 72 degrees.
1) This triangle is isosceles because two sides are equivalent. Thus, <C and <B are the same.
2) We know that <A + <B + <C = 180 in total
3. x + 2x + 2x = 5x
5x = 180
x = 36
4. <ABC = 2x = 2(36) = 72
A rectangle has a diagonal of length of 60 inches and the diagonal creates angles of
30 degrees and 60 degrees in the corners of the rectangle. Determine the area of the rectangle in
simplified radical form.
Let's call the length of the rectangle "l" and the width "w". We know that the diagonal of the rectangle is 60 inches, and that it creates angles of 30 degrees and 60 degrees in the corners of the rectangle.
Using trigonometry, we can relate the sides of the rectangle to its diagonal and the angles formed by the diagonal. Specifically, we can use the sine and cosine functions to relate the sides to the angles:
sin(30) = w/60 and cos(30) = l/60
sin(60) = l/60 and cos(60) = w/60
Simplifying each equation, we get:
w = 30√3 and l = 30
Therefore, the area of the rectangle is:
Area = l x w = (30)(30√3) = 900√3 square inches.
Hence, the area of the rectangle in simplified radical form is 900√3 square inches.
Using the graphing function on your calculator, find the solution to the system of equations shown below. 4y + 12x = 10 2y - 6x = -8 A. No solution B. More than 1 solution C. x = 13/12, y = -3/4 D. x = -6, y = 2
Therefore, the solution to the system of equations is: x = 13/12, y = -3/4 that is option C.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions, separated by an equals sign (=). The expressions on either side of the equals sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation. Equations are used to describe relationships between variables and to solve problems.
Here,
To solve the system of equations:
4y + 12x = 10 ...(1)
2y - 6x = -8 ...(2)
We can use the method of elimination or substitution.
Method of elimination:
We can eliminate x by multiplying equation (2) by 2 and adding it to equation (1) to obtain:
4y + 12x = 10
(4y - 12x = -16)
8y = -6
Dividing both sides by 8, we get:
y = -6/8
y = -3/4
Substituting this value of y in equation (1), we get:
4(-3/4) + 12x = 10
Simplifying and solving for x, we get:
-3 + 12x = 10
12x = 13
x = 13/12
So the answer is C. x = 13/12, y = -3/4.
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
Dave is buying popcorn and sodas for his son and his five friends that he brings to the movies (Six kids total). The needs to buy at least one of the two items for each of the six. Popcorn costs $2. 50 per bag and sodas cost $4. 00 each. Dave can spend at most $40. Lets represent the number of sodas he buys and p represent the number of bags of popcorn he buys
The system of equations that models this scenario is:
p + s ≥ 62.50p + 4.00s ≤ 40How can it be modeled using a system of equations?Let p be the number of bags of popcorn.
Let s be the number of sodas Dave buys.
Since Dave needs to buy at least one of each item for all six kids, we have:
p + s = 6 -----(1)
Given:
The cost of a bag of popcorn is $2.50.
The cost of a soda is $4.00.
The total cost of Dave's purchase can be expressed as:
2.50p + 4.00s = C -----(2) where the C is the total cost of Dave's purchase.
Since Dave can spend at most $40, we have:
2.50p + 4.00s ≤ 40 -----(3).
Read more about system of equations
brainly.com/question/13729904
#SPJ4
1. A triangle has sides that measure 5
cm, 2.5 cm, and 4.3cm. What is the
perimeter of the triangle? |
Answer:
11.8 cm---------------------
Perimeter is the sum of side lengths.
Given sides:
5 cm, 2.5 cm and 4.3 cmFind the perimeter by adding up side lengths:
P = 5 + 2.5 + 4.3 = 11.8 cmPre-Caclus 75 points + [tex]Brainliest[/tex]
Question shown in picture.
Options:
[tex]\frac{x - 28}{x-46}[/tex]
[tex]\frac{x - 13}{x-28}[/tex]
[tex]\frac{x - 7}{x-13}[/tex]
[tex]\frac{x - 13}{x-46}[/tex]
Expectations:
Correct
Explantion
Reasonable
Must not:
Incorrect
No explanation
Spam
Gibberish
Question:
Answer:
Factoring the polynomials and then simplifying:
[tex] \frac{ {x}^{2} - 20x + 91}{ {x}^{2} - 35x + 196} \times \frac{ {x}^{2} - 74x + 1288}{ {x}^{2} - 92x + 2116 } [/tex]
[tex] \frac{(x - 7)(x - 13)}{(x - 7)(x - 28)} \times \frac{(x - 28)(x - 46)}{(x - 46)(x - 46)} [/tex]
[tex] \frac{x - 13}{x - 46} [/tex]
Answer:
x−46
x−13
Step-by-step explanation:
Explanation in picture :)
For which angle θ is cos θ = −1?
a. 270° b. 360° c. 450° d. 540°
Answer: Dude adove is WRONGGG
Step-by-step explanation:
ANSWER IS 540
Answer:
c. 540°
Step-by-step explanation:
You want to know which angle θ has cos(θ) = -1.
CosineThe cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...
180° +360° = 540° . . . . . choice D
__
Additional comment
A graph of the cosine function is attached. The horizontal axis is in degrees.
<95141404393>
PLEASE HELP I'LL GIVE THE BRAINLIEST
Answer:
H = 45 ½ ÷ 6 ½
Step-by-step explanation:
The formula for the area of the base of the box is L * W.
The formula for the volume of the box is L * W * H
Therefore dividing 45 ½ (volume of box) by 6 ½ (area of base) will give you the height of the box
If r = 7 units and x = 5 units, then what is the volume of the cylinder
The cylinder's volume is 245 cubic units as a result.
Define the cylinder's volume?It is possible to determine how much material a cylinder can carry by using its volume, which is known as its capacity in geometry. Cubic measurements for a cylinder's volume include cm³, m³, in³, etc.
The formula V = r²h is used to determine the volume of a cylinder, where r is the radius of its circular base and h is the height between the bases' perpendicular centers.
As a result, if r = 7 units and x = 5 units, we can use the formulas below to get the cylinder's volume:
V = πr²h
V = π(7)²(5)
= 245 cubic units per volt
Consequently, the size of the cylinder 245 cubic units as a result.
Complete question given below:
To know more about volume of cylinder visit:
brainly.com/question/16134180
#SPJ1
If r = 7 units and x = 5 units, then what is the volume of the cylinder(height=x)?
The volume of the cylinder is 245π cubic units.
What is cylinder?The cylinder is a three-dimensional shape having a circular base. A cylinder can be seen as a set of circular disks that are stacked on one another.
The formula for the volume of a cylinder is:
V = πr²h
where r is the radius of the base, h is the height, and π is the mathematical constant pi (approximately equal to 3.14).
Substituting r = 7 units and h = 5 units into the formula, we get:
V = π(7)²(5)
V = π(49)(5)
V = 245π
Therefore, the volume of the cylinder is 245π cubic units. Note that the volume is an exact value in terms of π, and cannot be simplified further without a numerical approximation of π.
Learn more about cylinder on:
https://brainly.com/question/6204273
#SPJ1
what is 493 square rooted
A packaging manufacturer needs to design a cube-shaped fruit juice box. Each fruit juice box will contain 55 cubic centimeters of apple juice, 40 cubic centimeters of grape juice, and 30 cubic centimeters of mango juice. There will be no empty space inside the juice box. What will be the side length, in centimeters, of the juice box?
The side length of the juice box is given as follows:
5 cm³.
How to obtain the volume of a cube?The volume of a cube of side length a is given by the cube of the side length, as follows:
V(a) = a³.
The total volume of the box in this problem is given as follows:
55 + 40 + 30 = 125 cm³.
Hence the side length of the juice box is given as follows:
a³ = 125
a³ = 5³
a = 5 cm.
More can be learned about the volume of a cube at brainly.com/question/1972490
#SPJ1
Solids $A$ and $B$ are similar. Use the given information and scale factor $k$ from solid $A$ to solid $B$ to find the volume of solid $B$ to the nearest thousandth. Cylinder $A$ has a volume of $112\pi$ cubic meters and $k=$ $\frac{1}{4}$. The volume of solid $B$ is about
cubic meters
The volume of solid B is about 7π cubic meters, which is approximately 21.99 cubic meters when rounded to the nearest thousandth.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. Since solids A and B are similar, they have the same shape, but different sizes.
Let V₁ be the volume of solid A, and V₂ be the volume of solid B. The scale factor k from solid A to solid B is 1/4, which means that the dimensions of solid B are 1/4 of the dimensions of solid A.
We can find the radius and height of solid B by multiplying the radius and height of solid A by 1/4. Therefore, we have:
V₂ = π(r/4)²(h/4) = (π/16)rh²
We are given that V₁ = 112π cubic meters, so we can solve for rh²:
112π = πr²h
rh² = 112
Substituting into the formula for V₂, we get:
V₂ = (π/16)rh² = (π/16)(112) = 7π
To learn more about volume click on,
https://brainly.com/question/31412409
#SPJ4
Mason County plans to dig a rectangular landfill. The county has set aside a tract of land that measures 50 meters by 80 meters for the dig. How deep must the workers dig for the landfill to hold 250,000 cubic meters of garbage?
Answer:62.5
Step-by-step explanation:
A farmer is planning to create a new grazing field for
his horses. He determines that he needs 280 yards of fencing
for his new field. The fencing is sold by the foot. How many
feet of fencing should the farmer buy? Explain.
Answer:
840 feet
Step-by-step explanation:
1 yard = 3 feet
280 yards = x
x = 280 × 3
x = 840 feet
