Answer:
[tex]A_2=128.69\ in^2[/tex]
Step-by-step explanation:
The area of a circle varies directly as the square of its radius.
[tex]A=\pi r^2[/tex]
If r₁ = 2in, A₁ = 12.568 in₂, r₂ = 6.4 in, A₂ = ?
ATQ,
[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}\\\\A_2=\dfrac{A_1r_2^2}{r_1^2}\\\\A_2=\dfrac{12.568 \times 6.4^2}{2^2}\\\\=128.69\ in^2[/tex]
So, the new area of the circle is [tex]128.69\ in^2[/tex].
2. Hudson and 7 of his friends found a bag of pennies. There were 320
pennies, which they shared equally. How many pennies did each person
get?
Answer:
each person gets 40 pennies.
Step-by-step explanation:
Hudson AND 7 = 8
320 ÷ 8 = 40
Each person gets 40 pennies.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Each person gets 40 pennies.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Hudson and 7 of his friends found a bag of pennies.
Total pennies= 320
So, Pennie get by each
=320 ÷ 8
= 40
Hence, Each person gets 40 pennies.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Find the inverse function of f(x)=15x-1
Answer:
f'(x) = (x + 1)/15
Step-by-step explanation:
f(x) = 15x -1,
Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.
f(x) = 15x - 1
+1 +1
f(x) + 1 = 15x
/15 /15
(f(x) + 1)/15 = x
This means that (denote in the way one would denote an inverse of a function);
f'(x) = (x + 1)/15
A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook?
Negative 21.ModifyingAbove 4 with bar
Negative 21.ModifyingAbove 3 with bar
Negative 20.75
Negative 20.34
Answer: Negative 20.75
Step-by-step explanation:
The question simply wants us to convert the temperature shown by the thermometer to decimal. We should note that the temperature shown is Negative 20 and three-fourths degrees.
First, we convert 3/4 to decimal. This will be:
= 3/4 = 0.75.
Therefore, -20 3/4 = -20.75
Answer:
C. -20.75
Step-by-step explanation:
Got it right on edge :)
The circumference of a circular tablecloth is 160 inches, Will the tablecloth cover
a table with diameter 52 inches?
Answer:
D= 50.92 in
Step-by-step explanation:
Step one:
Given data
The circumference of a circular tablecloth is 160 inches
We want to know if the circular table cloth can also cover a table of diameter 52 in
Step two:
let us solve for the diameter of the table cloth given that the circumference is
160in
circumference
[tex]C= 2 \pi r[/tex]
[tex]160= 2*3.142*r\\\\160= 6.284r[/tex]
divide both sides by 6.284
[tex]160/6.284= r\\\\r=25.46 in[/tex]
The diameter of the table cloth is
[tex]=25.46*2\\\\=50.92 in[/tex]
The Table cloth cannot cover the table because the diameter of the cloth is not up to the diameter of the table
How do you find x in the photo below?
f(x)=25-x2, find the value of f(3)
Answer:
f(3) = 16
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 25 - 3² = 25 - 9 = 16
Answer:
f(3) = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 25 - x²
f(3) is x = 3
Step 2: Evaluate
Substitute in x: f(3) = 25 - 3²Exponents: f(3) = 25 - 9Subtract: f(3) = 16A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function y=3x+2 is Choose... the y-intercept of the function represented in the graph. A graph with a line through point (0, 2) and point (2, 6)
Answer:
less than
Step-by-step explanation:
Answer:
A graph with a line through point (0, 2) and point (2, 6)
Simplify the expression. -2.5f + 0.4f - 14 - 3?
Answer:
-2.1f-17
Step-by-step explanation:
combine like terms
Answer:
-2.1f-17
Step-by-step explanation:
1. Combine like terms
Like terms are those that either have the same variable, degree, or no variable at all.
Here, -2.5f and 0.4f and -14 and -3 are like terms. -2.5f and 0.4f are like terms because they both have f beside them. The reason -14 and -3 are like terms is because they both stand alone with no variables.
Combining like terms means to either add or subtract them from each other depending on their signs.
Just think of them as two separate problems for now.
-2.5f + 0.4f = ?
add these two together to get -2.1f
-14-3
Subtract these to get -17.
2. Put the expression back together: -2.1f-17
A side of the triangle below has been extended to form an exterior angle of 145°. Find the value of x.
Answer:
Step-by-step explanation:
145 = x+90
x=55
In ΔWXY, the measure of ∠Y=90°, XW = 89, WY = 80, and YX = 39. What ratio represents the cosine of ∠X?
Answer:
It's 39/89
Step-by-step explanation:
cos X = adjacent/ hypotenuse = 39/89
[tex]\frac{39}{89}[/tex] represents cosine of ∠X.
What is cosine?
'In a right-triangle, cos is defined as the ratio of the length of the adjacent side to that of the longest side which is the hypotenuse.'
According to the given problem,
In the right angle triangle ΔWXY,
Hypotenuse = XW = 89
Perpendicular = WY = 80
Base = YX = 39
We know,
cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]
⇒ cosX = [tex]\frac{39}{89}[/tex]
Hence, we can conclude that the ratio [tex]\frac{39}{89}[/tex] represents the cosine of ∠X
Learn more about trigonometric identities here: https://brainly.com/question/17976817
#SPJ2
Last question can someone help?
Answer:
The answer is y= - 2x - 14
Step-by-step explanation:
Slope intercept form is y=mx+b so the answer is y= - 2x - 14
7th grade math help me please :))
Answer: a. 5x + 8
b. 3
c. It means that Leila picked a number higher that isn’t between 1 and 10 so Julius wouldn’t be able to guess the number
A passenger in an airplane looks out the window and spots the airport in the distance. The angle of depression to the airport is 63°, and the airplane is flying at 18,000 feet. What is the horizontal distance to the airport?
9514 1404 393
Answer:
about 9171 feet
Step-by-step explanation:
It can help to draw a diagram.
The relation between angle, opposite side, and adjacent side in a right triangle is ...
Tan = Opposite/Adjacent
tan(63°) = (18000 ft)/(horizontal distance)
horizontal distance = (18000 ft)/tan(63°) ≈ 9171 ft
The horizontal distance to the airport is about 9171 feet.
Math Riddle
Wizard Electronics & Games is having a holiday sale. Everything in the store is 25% off, and cash purchases receive another 25% off the sale price. How much would pay for a video game with a pre-sale of $100 if you paid with cash?
A.) $50
B.) $56.25
C.) $75
D.) $50.75
j
= 1 + sin cos
sin'0 - cos'
sin - cos
PLE
i.
(sec X - tan xy
- Sin x
1 + sin x
1.
1 * sin - sine
1 - cos
= (cot - cosec )
1 + cos e
k.
cos
cos
Answer:
type question correctly
Step-by-step explanation:
I will help you
A. Increasing
B. Constant
C. Decreasing
Answer:
A. Increasing
Step-by-step explanation:
According to the graph, we see that as the x-values increase, the y-values also increase. Therefore, the entire graph is increasing.
En un pueblo hay tres iglesias cuyas campanas tocan cada 15 minutos, cada 20 minutos y cada 35 minutos. Suponiendo que en este instante han coincidido tocando las tres a la vez, ¿cuándo volverán a coincidir?
Answer:
420 minutos
Step-by-step explanation:
Resolvemos esta pregunta utilizando el método mínimo común múltiple
Encontramos los múltiplos de 15, 20 y 35
Múltiplos de 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450
Múltiplos de 20:
20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460
Múltiplos de 35:
35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490
Por lo tanto,
MCM (15, 20, 35) = 420
El primer múltiplo común es el mínimo común múltiplo.
Por tanto, el tiempo en el que las 3 campanas de la iglesia volverán a coincidir = 420 minutos
Ms. Sloane earns an 8% commission on her total sales. In February, Ms. Sloane's total sales were $29,250. In March, Ms. Sloane's total sales were $32,725. How much more money, in dollars, did Ms. Sloane earn in commission in March than she earned in February? Enter your answer in the box. nos
Answer:
$278
Step-by-step explanation:
8% of 29,250 = 2340
8% of 32,725 = 2618
2618 - 2340 = 278
she earned $278 dollars more in march than in february.
Adam is a field goal kicker. If he made 30 field goals out of his last 32 attempts, what percent of the attempts did he make?
HELP ME PLZZZ
I really need the help with it
Half the area of the rectangle shown is 24 square inches. Write and solve an equation to find the value
of x.
6 in.
(x + 2) in
Equation:
X=
2
Answer:
Step-by-step explanation:
Half the area of the rectangle shown is 24 square inches. Then value of x is 6
What is Area of Rectangle?The area of Rectangle is length times of width.
Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in
Hence, the value of x is 6.
To learn more on Rectangles click:
https://brainly.com/question/20693059
#SPJ5
A personal identification number (PIN) consists of 3 numbers 0 – 9. What's the probability someone's PIN number consists of only 1 number. For example 000, 111, 222, etc.
Answer: [tex]0.34[/tex]
Step-by-step explanation:
given data:
numbers contained in pin = 3
numbers pin can be gotten from = 0-9
solution:
0,1,2,3,4,5,6,7,8,9 = 10
probability the pin consist of only 1 number
[tex]= \frac{1}{10} + \frac{1}{9} + \frac{1}{8} \\\\[/tex]
[tex]= \frac{121}{360} \\[/tex]
[tex]= 0.34[/tex]
A band is paid $50 for performing at a restaurant. For each customer
that eats at the restaurant, the band is paid $2 more. Evaluate m (100)
Answer:
If there are 100 customers, the band will be paid $250.
Step-by-step explanation:
50 + 2m
m = 100
50 + 2(100)
50 + 200
= 250
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Would these be linear combinations or quadratic equations
Answer:
actually it is a simultaneous equation from linear combinations
A certain map shows two roads. Road A is 1 1/5 miles long but it is 1 4/5 long on the map. What is the unit rate for inches per mile? If road B is 4 miles long, how long is road B on the map?
Answer: 6 inches
Step-by-step explanation:
Road in inches = 1 ⁴/₅
Road in miles = 1 ¹/₅
Inches per mile = 1 ⁴/₅ / 1 ¹/₅
= 1.5 inches
If the road is 4 miles long, on the map it would be;
= 1.5 * 4
= 6 inches
Which math expression means "the sum of 270 and 180"?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Sum means to add so answer A is correct
Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i
2.4 millimetres into meter is 0.0024.
Answer:
0.0024 meters
Step-by-step explanation:
Using conversion.
Hope this helps!
xoxo,
cafeology
helppppppppppppppppppp pls
Step-by-step explanation:
0.2x = 20
The step that should be done is to multiply both sides by 5:
5(0.2x) = 5(20)
x = 100.
Michael has a collection of 124 sports cards. He hopes to sell the collection in packs of 4 cards and make $496.31 when all the packs are sold. If each pack is priced the same, how much should Michael charge per pack?
Answer:
the price that Michael charge per pack is $16.01
Step-by-step explanation:
The computation of the price that Michael charge per pack is as follows:
= 124 sports card ÷ 4 cards
= 31 packs
Now the charge per pack would be
= $496.31 ÷ 31 packs
= $16.01
hence, the price that Michael charge per pack is $16.01
The same is to be considered
A shirt is on sale for $18. This represents a 10% discount from the original price. What is the original price?
Answer:
16.2
Step-by-step explanation:
Answer:
The answer is 16.2
Step-by-step explanation:
