It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.​

Answers

Answer 1

Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

= 1.728x³

y = ³1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer 2

Answer:

6/5

Step-by-step explanation:


Related Questions

factories
Need fast

Answers

Answer:
Factor x^8+x^4+1

Rewrite the middle term.
X^8+2x^4.1-x^4+1

Rearrange terms.
x^8+2x^4.1+1 -x^4
Factor first three terms by perfect square rule
(X^4+1)^2-x^4
Rewrite
x^4
as
(X^2)^2
(X^4+1)-(x^2)^2
Since both terms are perfect squares, factor using the difference of squares formula,
a^2-b^2=(a+b)(a-b)
where
a=x^4+1
and
b=x^2

Simplify.
(X^4+1+x^2)(x^4+1-x^2)
Step-by-step explanation:

Have a great day
given:

[tex] {x}^{8} + {x}^{4} + 1[/tex]

to find:

factorise

solution:

[tex] {x}^{8} + {x}^{4} + 1[/tex]

[tex] = x ^{8} + 2 {x}^{4} + 1 - {x}^{4} [/tex]

[tex] = ( {x}^{4} + 1 {)}^{2} - ( {x}^{2} {)}^{2} [/tex]

[tex] = ({x}^{4 } + 1 + {x}^{2}) ( {x}^{4} + 1 - {x}^{2} )[/tex]

[tex] = ( {x}^{4} + 2 {x}^{2} + 1 - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = (( {x}^{2} + 1 {)}^{2} - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = ( {x}^{2} + 1 + x)( {x}^{2} + 1 - x)[/tex]

[tex] = ( {x}^{4} - {x}^{2} + 1)[/tex]

The car model was built on a 1:36 scale. If the length of the car is 180 inches, how many inches long is the model? ​

Answers

Answer:

the results are

a. 1,080-inch

b.  90 feet

Step-by-step explanation:

there are 4 steps to get to your resluts

X+6
Given f(x) =
x2 - 9x +18
which of the following is true?

Answers

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

Increasing and decreasing function

Given the rational function expressed as:

f(x) = x+6/x^2-9x+18

To determine the point where the function is decreasing, we will equate the numerator to zero to solve for the value of x

x + 6 = 0
x = -6

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

Learn more on increasing function here: https://brainly.com/question/12940982

A mixed economy is dependent only on the choices of individuals and businesses a combination of individual choice and government protection where people produce and trade traditional goods completely based on government decisions

Answers

Answer:

In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.

Answer:

a combination of individual choice and government protection

Step-by-step explanation:

Round 716.51 to the nearest hundredth
A. 716
B. 717
C. 716.51
D. 716.515






Thank you to everyone thats helping me!​

Answers

Answer:

c

Step-by-step explanation:

the number(1) with the place value hundreth has nothing after it so it stays the same

Answer:

I believe the answer would be 717. Correct me if I'm wrong but that is what I believe the answer is.

Step-by-step explanation:

Since the answer is talking about hundredth, you would look at the decimal.

The decimal states that its .51, which means it could not be 716, since the decimal is less than 50, so your answer SHOULD be B). 717

there are 19 birds in a pond, all of which are ducks or geese. if the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?

Answers

Answer:

its 9

Step-by-step explanation:

19-1 divided by 2

so 19-1=18

18/2 equals 9

and thats your answer

Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33^{\circ}

. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

What is a right angle triangle?

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

learn  more on right triangles here: https://brainly.com/question/25799394

Answer:

44.35

Step-by-step explanation:

i did it

What is the area of the parallelogram?
6
сл
4
square units

What’s the square unit ?

Answers

Answer: 24 units²

Step-by-step explanation:

      We will use the formula for the area of a parallelogram and solve.

      A = bh

      A = 6 * 4

      A = 24 units²

      Isn't this the same formula used for a rectangle? Correct! See attached, the "extra triangle" on the left side can be moved to the right side, and then we solve it like it is a rectangle.

graph the function y=x-10

Answers

Use Desmos, it is a great graphing calculator to help you with stuff like this!

+8 opposite value of integers ​

Answers

Answer:

-8

Step-by-step explanation:

The opposite of a positive integer is a negative integer so it must be -8

What is the square inches?

Answers

Answer:

given :-

for rectangular part: length=12in, breadth=8in

for triangular part:base=8in, height=3in

area of the given fig:

area of the given fig:area of 2 triangles +area of rectangle

[tex]→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2} [/tex]

hope it helps you<3

Solve the math problem

Answers

Answer:

Explanatory variable (independent variable)

The variable that affects the other variable.Drawn along the horizontal axis.

Response variable (dependent variable)

The variable that is being affected.  Drawn up the vertical axis.

(a) As the class wondered if they could predict the father's height, when they know the son's height

Explanatory variable = son's height

Response variable = father's height

(even though this is contrary to real-life, where the father's height would be used to predict the son's height)

(b) **see first attachment**

(c)  The association is positive since the father's height increases as the son's height increases.

(d)  **see second attachment**

Outlier = Paul  (64.5, 73)

This point is far away from the majority of points on the scatter plot.

If we add a regression line to the scatter plot, we can see that this data point is the farthest from the regression line.

can someone explain to me what this is in detail P(A∩B) = P(A) · P(B)

Answers

Answer:

Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).

Answer:

I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B

Step-by-step explanation:

Please rate bainliest if you think I deserve

help!!!!!!! hurry and help me pls!

Answers

Answer:

(2, 4)

Step-by-step explanation:

A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).

Mandy was painting a mural shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. what was the area of the mural?

Answers

Answer:

The area of the mural is 60 feet.

Step-by-step explanation:

The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.

how do you find the perimeter on a pythagorean theorem word problem?

Answers

p = root under (h square - b square)

I NEED THIS RIGHT NOW

Answers

Answer:

B

Step-by-step explanation:

If the numerator is one, the denominator is going to be the same value as a normal positve interger.

Answer:

A

Step-by-step explanation:

If z = 10, y = 9, and x = 8, it would fit the fact that z > y and y > x.

If we divide 1 by the variables, then it would be 1/10, 1/9, and 1/8. Imagine this as a pie. 1/8 would be the biggest slice then because it is cut into less pieces. 1/9 would be the second biggest slice because it is cut into less pieces than 1/10. Therefore, A is the correct answer.

I hope this helps and please mark this as brainliest!

Points scored: 9, 4, 13, 11, 12, 5

What is the median of the points scored?

Answers

Answer:

10

Step-by-step explanation:

The median is arranged in numerical value.

it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.

50 POINTS! PLEASE HELP ME! ILL GIVE BRAINLIEST!
2. Please complete both Parts A, B, & C below.

a. These triangles are proportional. Identify the corresponding sides for all three sides.

b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.

c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.

3 PARTS! Answer all or get deleted

Answers

Answer:

Step-by-step explanation:

a. These triangles are proportional. Identify the corresponding sides for all three sides.

40 AB------30 YZ

50 AC-------37.5 XY

60 BC---------45 XZ

b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.

Fraction: 3/4

40 x3/4 = 30

50 x 3/4 =  37.5

60 x 3/4 = 45

c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.

The triangles are similar

The Side-Side-Side Similarity Theorem states: “If all three corresponding sides of two triangles are proportional, then the triangles are similar".

Answer:

A. Sides AB, BC, and CA are proportional to YZ, ZX, and XY, respectively.

B. 3/4(AB) = YZ, 3/4(BC) = ZX, 3/4(CA) = XY

3/4 x 40 = 30    3/4 x 60 = 45    3/4 x 50 = 37.5

C. Yes, by SSS

Step-by-step explanation:

a. and b. are self-explanatory, but I will explain c.

When testing if two triangles are similar, they have to have the same except for scaling and flipping or turning. You know triangles are the same if all three sides are equal (SSS), two angles are equal (AA), or if there are two equal sides with an equal angle between them (SAS).

Since similar tringles can be scaled, these rules turn into if all three sides are proportional (SSS), two angles are equal (AA), or if there are two proportional sides with an equal angle between them (SAS).

These two triangles have proportional sides, so SSS applies and they are similar.

Find n if 103n+26n=131n

Answers

Answer:

0

Step-by-step explanation:

•103n+26n = 131n

Combine 103 n and 26 n to get 129n

•129n=131n

Substract 131n from both sides

•129n-131n=0

Combine 129n and -131n to get 2n

•-2n=0

Product of two numbers is equal to 0 if atleast one of them is 0. Since -2 is not equal to 0, n must be 0.

•n=0

In degrees what is the measure of MFE

Answers

There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.

Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.

x + 6 + 3x - 4 = 90

Add the x's.

4x + 6 - 4 = 90

Combine the 6 and 4.

4x + 2 = 90

Subtract the two on both sides.

4x = 88

Finally, divide by 4.

x = 22

But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)

22 + 6 is the new equation.

22 + 6 = 28

Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because

62 + 28 = 90

I hope this answers your question.

-Toremi

Simplify: 4/15+7/8-11/12​

Answers

Answer:

[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

LCD: 120

[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]

[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]

[tex]\frac{27}{120}[/tex]

[tex]\frac{9}{40}[/tex]

Hope this helps!

Answer:

9/40

hope this helps.

pls help if u do ill give brainlist

Answers

Answer:

C. [tex]1\frac{2}{10}[/tex]

Step-by-step explanation:

[tex]\frac{30}{100}+\frac{9}{10}=\frac{30}{100}+\frac{90}{100}[/tex]

[tex]\frac{30}{100}+\frac{90}{100}=\frac{120}{100}[/tex]

[tex]\frac{120}{100}=1\frac{20}{100}[/tex]

[tex]1\frac{20}{100}=1\frac{2}{10}[/tex]

Explanation:

[tex] \frac{300}{100} + \frac{9}{10} [/tex]

[tex] \frac{30}{10} + \frac{9}{10} [/tex]

[tex] \frac{3 + 9}{10} [/tex]

[tex] \frac{3 + 9}{10} = \frac{12}{10} [/tex]

Cross out common factors.

[tex] \frac{6}{5} [/tex]

Answer:

[tex]1 \frac{2}{10} [/tex]

Hope this helps.

Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.2%, compounded monthly, and want the fund to have a value of $55,500 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $131.93 b. $2,662.49 c. $1,643.30 d. $3,446.64 please select the best answer from the choices provided a b c d

Answers

Answer:

a. $131.93

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge

hey guys, i need help with this ill give you brainlist :)

Answers

Answer: C. 2 3/4 yards.

Hope this helps! :)

Please mark me brainliest.

Answer:

2  3/4

Step-by-step explanation:

Longest  - shortest =

  4 1/2     -   1 3/4   =  2 3/4

4. the weight of a liquid varies directly as its volume v. of the weight of the liquid
in a cubical container 5 cm on a side is 375 g, find the weight of the liquid in a
cubical container 4 cm on a side.
a. 64 g
b. 129
c. 44 g
d. 192 g

Answers

B 129G i’m pretty sure

It says "write the fraction in the simplest form." i want the answer, the fraction is '27/36'

Answers

Answer:

3/4

Step-by-step explanation:

I need help with this

Answers

Step-by-step explanation:

Doesn't the line show where the median is? Then it would be class 1

се
у
What is the rule for the reflection?
В
4
2
2
Ory=(x, y) — (-y-x)
огу (x, y) — (-у, -х)
Огу (x, y) — (y, x)
(x, y) — (y, x)
о
х
A
--2
|
2
2
4
-2A"
В!
C

Answers

Answer:

Below.

Step-by-step explanation:

Reflection in x-axis: (x, y) ----> (x, -y).   (x value stays the same)

Reflection in y-axis: (x, y) ----> (-x, y).   ( y value stays the same)

I don’t understand the question

How do you evaluate a geometric series?

Answers

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

hope it helps...!!!

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