In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?
Answers
Answer:
[tex]x=21[/tex]
Step-by-step explanation:
See attachment for triangle
The relationship between length x, length 24 and angle 30 is as follows:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
In this question;
[tex]Adjacent = x[/tex]
[tex]Hypotenuse= 24[/tex]
[tex]\theta = 30[/tex]
Substitute these values in the above expression,
[tex]\cos(30) = \frac{x}{24}[/tex]
Multiply through by 24
[tex]24 * \cos(30) = \frac{x}{24} * 24[/tex]
[tex]24 * \cos(30) = x[/tex]
Reorder:
[tex]x = 24 * \cos(30)[/tex]
[tex]x = 24 * 0.8660[/tex]
[tex]x = 20.784[/tex]
[tex]x=21[/tex] --- approximated
Related Questions
Write the equation of a line that passes through (-2,6) and 1,-6)
Answers
(-6-6)/(1+2) = -12/3 = -4
Format: y = -4x + b
Plug in one point
6 = -4(-2) + b
6 = 8 + b, b = -2
Answer: y = -4x - 2
Answer: y=−2−4x
Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!
25/18 as a mixed number
Plsss help me
Answers
Step-by-step explanation:
7
1 ---
18
hope it helps !
A board game was originally priced at $24, it is on sale now for $18. What percent off is the game (percent of
change)?
Answers
See attachment for your problem set up.
Answer:
This is a 25% decrease
Step-by-step explanation:
Find the difference between the two prices
24- 18 = 6
Take that over the original price
6 /24 = 1/4
Change to decimal form
.25
Change to percent form
25%
This is a 25% decrease
what is5+10=
and 20+5=
help
Answers
Answer:5+10=15 and 20+5=25 is tht wht u need help on?
Step-by-step explanation:have a wonderful Christmas
what is the distance from the origin to point A graphed on the complex plane below
Answers
Answer:
Coordinates of point A are
(-3,-2)
Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.
Using pythagoras theorem we calculate:
h^2 = 3^2 + 2^2 = 13
h = sqrt 13
Answer is b
Step-by-step explanation:
Coordinates of point A are
(-3,-2)
Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.
Using pythagoras theorem we calculate:
h^2 = 3^2 + 2^2 = 13
h = sqrt 13
Answer is b
Eight teams of high school students helped clean up trash in the community.
Afterwards, they shared 55 pizzas equally.
How many pizzas did each team get?
Answers
55 divided by 8 is 6.875
Which is the graph for f(x)=3 tothepowerof x? Pls just say the letter, no pictures. I can't see them. For 20 points.
Answers
The first equation in the system of equations that models this situation is x + y = 70, where x represents the number of 2-point questions and y represents the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.
Answers
Answer: (2x+4y=150) this is right
i
swear
on
my
mama
this
is
correct
my
g
Answer:
they were right
Step-by-step explanation:
The first equation represents the number of questions on the test. So, the second equation represents how much the questions are worth.
There are x of the 2-point questions, which have a total value of 2x points.
There are y of the 4-point questions, which have a total value of 4y points.
The test has an overall value of 150 points, so the second equation is 2x + 4y = 150.
True or False: Only items that cannot be replaced or that would be expensive or hard to replace should be put in a safe deposit box.
Answers
A farmer must transport a fox, goose and bag of beans from one side of a river to
another using a boat which can only hold one item in addition to the farmer, subject to
the constraints that the fox cannot be left alone with the goose, and the goose cannot
be left alone with the beans. What is the fewest number of trips the farmer has to take
in order to transport all three safely to the other side of the river?
Show working using any appropriate mathematical representation(s)
Answers
Answer:
The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.
The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.
Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.
He returns to pick up the goose and heads back across the river one last time.
Step-by-step explanation:
Answer:
4 trips.
Step-by-step explanation:
The man and the goose across the river, leaving the fox and the beans together, he leaves the goose on the other side and goes back across.
The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.
Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.
He returns to pick up the goose and heads back across the river one last time.
#teamtrees #WAP (Water And Plant)
A garden shop always sells the same number of plants per box. If there are 70 plants in 2 boxes, how many plants would be in 5 boxes?
Answers
Answer:
175
Step-by-step explanation:
First figure out how many plants are in each box.
70 / 2 = 35
Then use this to find the number of plants in each box.
35 x 5 = 175
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the
nearest tenth of a cubic inch?
Answers
Answer:
Expert Verified
Step-by-step explanation:
the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³
The volume of the hemisphere given its diameter is 47,697.7 in³.
What is the volume?The volume of an object is the amount of space that is in the object. A hemisphere is a three-dimensional object that has the shape of a semicircle.
The volume of the hemisphere = 2/3πr³
r = 56.7 / 2 = 28.35 in
2/3 x 28.35³ x 3.14 = 47,697.7 in³
To learn more about the volume of a hemisphere, please check: https://brainly.com/question/26840364
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Bob is going on a bike ride. He rides for 7 hours for a total of 105 miles. How fast did he ride?Immersive Reader
(1 Point)
15 miles per hour
735 miles per hour
0.066 miles per hour
Answers
Answer:
15 miles per hour.
Step-by-step explanation:
105/7=15
NEED HELP to pass upcoming project , I've attached the link, when trying to do this project the first time I got partical credit so one of the parts might be right.
Answers
9514 1404 393
Answer:
vertex: (-3, 3)
focus: (-3, 2)
directrix: y = 4 (the line)
point on the parabola: (1, -1)
Step-by-step explanation:
The vertex is the extreme point of the parabola. For a parabola opening downward, it is the maximum. Here, that point is labeled (-3, 3).
The focus is a point inside the parabola on the line of symmetry that, together with the directrix, helps define the parabola. Every point on the parabola is the same distance from the focus as it is from the directrix. Here, the point (-3, 2) is the focus.
The directrix is a line outside the parabola that is the same distance from the vertex that the focus is inside. Here, that line is y = 4.
The point on the parabola (1, -1) appears to have no particular significance. It happens to be 5 units distance from both the focus and the directrix.
_____
Additional comment
When you draw a horizontal line through the focus, it intersects the parabola at a point the same distance from the focus as from the directrix. (All points on the parabola have that characteristic. This point just happens to have the same y-coordinate as the focus.) The point you found this way is also on a line through the vertex that has a slope of 1/2 or -1/2.
If you don't know where the focus is for a given parabola, you can always find it using this relationship.
when you subtract numbers what are some things you should remember
Answers
4.23m 4.27m 3.98m his longest jump was how much longer compared to his shortest jump
Answers
Answer:
.29
Step-by-step explanation: Subtract first by last
Answer:
0.29m longer
Step-by-step explanation:
Longest jump = 4.27m
Shortest jump = 3.98m
4.27 - 3.98 = 0.29m
Need help ASAP it’s due at 12 tonight
Answers
Answer:
quarterly N = 4
semi-annually N = 2
Monthly N = 12
annually N = 1
Step-by-step explanation:
The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:
A = P(1 + r/n)^nt
n = number of times in a year for which the amount is compounded :
Annually : compounding times = 1 = 12 /12
Semi annually (6 months) ; N = 12 /6 = 2
Quarterly ; (3 months) ; N = 12 /3 = 4
Monthly ; (12 months) ; N = 12 / 12 = 1
Marriage Prospects Data released by the Census Bureau in 1986 indicated the likelihood that never-married women would eventually marry. The data indicated that the older the woman, the less the likelihood of marriage. Specifically, two statistics indicated that women who were 45 and never-married had an 18 percent chance of marriage and women 25 years old had a 78 percent chance of marriage. Assume that a linear fit to these two data points provides a reasonable approximation for the function p=f(a), where p equals the probability of marriage and a equals the age of a never- married woman.
(a) Determine the linear function p=f(a).
(b) Interpret the slope and p intercept.
(c) Do the values in part b seem reasonable?
(d) If the restricted domain on this function is 20 sa s 50, determine f(20), f(30), f(40), and f(50).
Answers
Answer:
a. [tex]f(a) = -0.03a +1.53[/tex]
b. See Explanation
c. The slope is reasonable but the p intercept is not
d. [tex]f(20) = 93\%[/tex] [tex]f(30) = 63\%[/tex] [tex]f(40) = 33\%[/tex] [tex]f(50) = 3\%[/tex]
Step-by-step explanation:
Given
[tex]a = age[/tex]
[tex]p = probability\ of\ marriage[/tex]
[tex]a = 45[/tex] when [tex]p = 18\%[/tex]
[tex]a = 25[/tex] when [tex]p = 78\%[/tex]
Solving (a): The linear function
We start by calculating the slope, m
[tex]m = \frac{p_2 - p_1}{a_2 - a_1}[/tex]
[tex]m = \frac{78\% - 18\%}{25- 45}[/tex]
[tex]m = \frac{60\%}{-20}[/tex]
[tex]m = -3\%[/tex]
[tex]m = -0.03[/tex]
The function is then calculated as follows
[tex]p - p_1 = m(a - a_1)[/tex]
This gives:
[tex]p - 18\% = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03a +1.35[/tex]
Solve for p
[tex]p= -0.03a +1.35+0.18[/tex]
[tex]p= -0.03a +1.53[/tex]
Hence,
[tex]f(a) = -0.03a +1.53[/tex]
Solving (b): Interpret the slope and the p intercept
The slope is calculated as:
[tex]m = -0.03[/tex]
And it implies that, there is a 3% reduction in change of getting older as women get older
The p intercept implies that, there is a 1.53 chance for 0 years old female child to get married.
Solving (c): Is (b) reasonable
The slope is reasonable.
However, the p intercept is not because of the age of the woman
Solving (d): Determine f(20), f(30), f(40), f(50)
We have that:
[tex]f(a) = -0.03a +1.53[/tex]
[tex]f(20) = -0.03 * 20 + 1.53[/tex]
[tex]f(20) = -0.6 + 1.53[/tex]
[tex]f(20) = 0.93[/tex]
[tex]f(20) = 93\%[/tex]
[tex]f(30) = -0.03 * 30 + 1.53[/tex]
[tex]f(30) = -0.9 + 1.53[/tex]
[tex]f(30) = 0.63[/tex]
[tex]f(30) = 63\%[/tex]
[tex]f(40) = -0.03 * 40 + 1.53[/tex]
[tex]f(40) = -1.2 + 1.53[/tex]
[tex]f(40) = 0.33[/tex]
[tex]f(40) = 33\%[/tex]
[tex]f(50) = -0.03 * 50 + 1.53[/tex]
[tex]f(50) = -1.5 + 1.53[/tex]
[tex]f(50) = 0.03[/tex]
[tex]f(50) = 3\%[/tex]
In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of eligible voters actually did vote. a) Find the 95% confidence interval estimate of the proportion of people who say that they voted.
Answers
Answer:
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
Step-by-step explanation:
Step(i):-
In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.
Sample proportion
[tex]p = \frac{x}{n} = \frac{701}{1002} = 0.6996[/tex]
Step(ii)
The 95% confidence interval estimate of the proportion of people who say that they voted
[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]
[tex](0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )[/tex]
(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)
(0.6996 - 0.02838 , 0.6996 + 0.02838)
(0.67122 , 0.72798)
Final answer:-
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
The square of 15 is 225. The square of what other number is 225?
Answers
Answer:
-15
Step-by-step explanation:
-15²
= -15×-15
= 225
hope it helps!!
Answer:
-15
Step-by-step explanation:
Any number times itself is a positive number. The square of any number will be the same as the square of that number times -1
example:
2^2=4
-2^2=4
Answer this please thanks
Answers
12.21%
In his bowling league last year he averaged 115. not his average is 131. so the average increases by 12.21% because the rest are two high because this is a percentage
Answer:
A. 12.21
Step-by-step explanation:
A bracelet costs $39.59. It is marked down 25%.
What is the final price of the bracelet after it is marked down?
$9.90
$29.69
$35.49
$49.49
Answers
Answer:
$29.69
Step-by-step explanation:
Marked down 25% means it is now worth 75% of original value.
0.75*39.59 = $29.69
please give thanks by clicking the heart buton :) happy holidays
Answer:
$29.70
Step-by-step explanation:
$39.59 / 4 = 9.8975. Round up to 9.90
$39.59 - $9.90 = $29.69
Cylindrical pipe is 2ft. If the pipe is 20ft long what is its volume
Answers
Answer:
[tex]V=251.32\ ft^3[/tex]
Step-by-step explanation:
The radius of cylindrical pipe, r = 2 ft
Length of the pipe, h = 20 ft
We need to find the volume of the pipe. We know that the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\V=\pi \times (2)^2\times 20\\\\=251.32\ ft^3[/tex]
So, the volume of the cylinder is [tex]251.32\ ft^3[/tex].
Which equation is equivalent to : 2(-3x-6) = -5
Answers
Answer:
-6x-12=-5
Step-by-step explanation:
Just distribute
Please help me please!!
Answers
Answer:
False
Step-by-step explanation:
2x - y = 0
-2x + 2y = 9
Add the equations.
y = 9
(3, 6) is not a solution because in the solution, y = 9.
Answer: False
Answer:
the answer to question 3 is false, and the answer to question 4 is c. (2, 9)
Step-by-step explanation:
they deleted my answer again, anyways i hope this helps! :D
PLEASE HELP I WILL MARK BRAINLIEST FOR THE ANSWERS! PLEASE HELP PLEASE ITS DUE AT 12
Answers
Answer:
61
Step-by-step explanation:
84+38=122
180-122=58
DBC=58
180-58=122
122÷2=61
61+58=119
180-119=61
Answer:
61
Step-by-step explanation:
84+38=122
180-122=58
DBC=58
180-58=122
122÷2=61
61+58=119
180-119=61
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s height is 4 feet, 2 inches.
1. Should Clare's or the doctor's measurement be considered the actual height? Explain your reasoning.
2. What was the error, expressed in inches? (Hint: 12 inches = 1 foot, so 12 is the unit rate to multiply the number of feet by)
Amount of Error = difference between Actual and estimated guess
3. What was the error, expressed as a percentage of the actual height?
Percent Error = Amount of Error x 100
Actual Measurement
SHOW WORK GIVING BRAINLIEST
Answers
Answer:
1. Yes2. 2 inches3. 4%Step-by-step explanation:
Estimated height is 4 feetMeasured height is 4 feet 2 inches1. The measurement is actual and should be considered as such. Estimate is approximate most of the time.
2. The error is:
4 feet 2 inches - 4 feet = 2 inches3. Percent error:
2 inches/4 feet 2 inches × 100% =2 inches / 50 inches × 100% =0.04× 100% = 4%Write the given expression as a single trigonometric function.
StartStartFraction tangent (StartFraction 3 pi Over 7 EndFraction) minus tangent (StartFraction 2 pi Over 5 EndFraction) OverOver 1 + tangent StartFraction 3 pi Over 7 EndFraction) tangent (StartFraction 2 pi Over 5 EndFraction) EndEndFraction
Answers
Answer:
tan (pi/35)
Step-by-step explanation:
edge 2020
The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The trigonometric function is given below.
⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]
We know that the formula,
tan (a + b) = [tan a - tan b] / [1 + tan a) × tan b]
Then the expression is written as,
⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]
⇒ tan [(3π/7) + (2π/5)]
⇒ tan (29π / 35)
The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Need answer asap pls..............
Answers
Answer:
These go up by 1.
Step-by-step explanation:
10 20 30 40 50 60 70 80 90
1 + 1 = 2
2 + 1 = 3
3 + 1 = 4, and so forth.
Answer:
A (they go up by one )
Step-by-step explanation:
10, 20 , 30 ,40,50 The tens place goes up by 1 each time
Amanda buys a book for 24.97, a backpack for 17.23. and a set of markers for 7.55. she gives the cashier 50.00 how much change does amanda get
Answers
Answer:
She would get 0.25 cents
Step-by-step explanation:
what you would do is add 24.97, 17.23 and 7.55 together and get a total of 49.75 and subtract that from 50 and get 0.25
please mark me brainliest
Answer:0.25
Step-by-step explanation:
