Mathematics High School

A playground is 75 yards by 75 grounds. Calvin walked across the playground from one corner to the opposite coner. How far did he get

Answers

Answer 1

Answer:

d = 75√2 yds

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the diagonal of the playground:

(75 yd)^2 + (75 yd)^2 = d^2, or

d^2 = 2(75 yd)^2

Taking the square root of both sides, we get:

d = 75√2 yds

Related Questions

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $19.50. The oil change for the other car required 7 quarts of oil and cost $22.00. How much is the labor fee and how much is each quart of oil?

Answers

Answer:

quart of oil = $1.25

labour = $13.25

Step-by-step explanation:

let x = cost of each quart of oil

y = flat fee for labour

two equations can be formed from the question

5x + y = 19.50 equation 1

7x + y = 22 equation 2

subtract equation 1 from 2

2x = 2.5

divide both sides by 2

x = 1.25

substitute for x in equation 1

5(1.25) + y = 19.50

y = 19.50 - 6.25

y = $13.25

Which is the answer ? Please help

Answers

Answer:

Step-by-step explanation:

1/2 is equal to 2/4 so 1/2 is greater than 1/4

Answer:

Step-by-step explanation:

[tex]\frac{1}{2} = \frac{4}{8}[/tex]

[tex]\frac{4}{8} < \frac{1}{8}\ is\ wrong!\ Therefore\ A\ is\ wrong[/tex]

[tex]\frac{2}{1} = \frac{4}{2}[/tex]

[tex]\frac{1}{2} = \frac{4}{2}\ is\ wrong!\ Therefore\ B\ is\ wrong[/tex]

[tex]\frac{1}{2} = \frac{2}{4}[/tex]

[tex]\frac{2}{4} > \frac{1}{4}\ is\ correct!\ Therefore\ C\ is\ correct[/tex]

[tex]\frac{1}{2} = \frac{2}{6}[/tex]

[tex]\frac{2}{6} < \frac{1}{6}\ is\ wrong!\ Therefore\ D\ is\ wrong[/tex]

Loagn used the net below to design a nylon tent

Answers

Answer:

Part A: The tent is shaped like a square pyramid

Part B: a 36ft tent

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don’t know

which of the following is equivalent

Answers

Answer: 20√2

Step-by-step explanation:

20/2
This is because you’ll find a perfect square that fits into 32 (since 32 is not a perfect square itself) and you’ll get 16x2 under the square root sign. Now you take the perfect square of 16 to get 4 and you’ll multiply is with the 5 one the outside to get 20 and then the left overs inside the square root sign which is 2

What is the volume?
7 yd
10 yd
6 yd

Answers

Answer:

210 yd³

Step-by-step explanation:

Volume of a triangular prism

= the area of a triangular base × the height

The area of the base

= (10×7)÷2

= 35 yd²

The volume of the prism

= 35 × 6

= 210 yd³

These cones are similar. Find the volume of the smaller cone. Round to the nearest tenth. 2 cm 5 cm Volume=[?]cm^ 3 Volume me = 131 cm ^ 3

Answers

Answer:

8.4 cm^3 to the nearest tenth.

Step-by-step explanation:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

So:

5^3 / 2^3 = 131 / v

v = 2^3 * 131 / 5^3

= 8 * 131 / 125

= 8.384.

The volume of smaller cone is 8.4 cm³

What is Volume of Cone?

The volume of a cone formula is given as one-third the product of the area of the circular base and the height of the cone. According to the geometric and mathematical concepts, a cone can be termed as a pyramid with a circular cross-section. By measuring the height and radius of a cone, you can easily find out the volume of a cone. If the radius of the base of the cone is "r" and the height of the cone is "h", the volume of cone is given as V = (1/3)πr²h.

By applying Pythagoras theorem on the cone, we can find the relation between volume and slant height of the cone.

We know, h² + r² = L²

⇒ h = √(L² - r²)

where,

h is the height of the cone,

r is the radius of the base, and,

L is the slant height of the cone.

The volume of the cone in terms of slant height can be given as V = (1/3)πr²h = (1/3)πr²√(L² - r²).

Given:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

Then,

5³ / 2³ = 131 / v

v = 2³ * 131 / 5³

v = 8 * 131 / 125

v = 8.384 cm³

Learn more about volume here:

https://brainly.com/question/1984638

#SPJ2

help finding the area

Answers

23/16 wish It helps

Determine whether the triangle with the given side lengths is acute,
right, obtuse or not a triangle 3,8,15

Answers

Answer:

Answer:

Step-by-step explanation:

Gary's salary is $25,000, and he expects to
receive a 4% salary increase each year. What
will Gary's salary be in 10 years?

Answers

In 10 years his salary will be 35,000 dollars. (You do 4% of 25000 which is 1000 then multiply that by 10 get 10,000 than add it to the initial salary 25000 and get the answer)

A cube with an area of 54cm2 has a volume ________

Answers

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

For a cube :

[tex] \boxed{Area = 6a {}^{2} }[/tex]

( a represents measure of each side )

[tex]6 {a}^{2} = 54[/tex]

[tex] {a }^{2} = \dfrac{54}{6} [/tex]

[tex] {a}^{2} = 9[/tex]

[tex]a = \sqrt{9} [/tex]

[tex]a = 3[/tex]

measure of each side = 3 cm

[tex] \boxed{volume = {a}^{3} }[/tex]

[tex]3 {}^{3} [/tex]

[tex]27 \: \: cm {}^{3} [/tex]

[tex] \#TeeNForeveR[/tex]

v = 18 Cm³Cube

area = 54 Cm²

Volume

area = 6a²

54 = 6a²

a² = 54/6

a = √9

a = 3 Cm

v = a³

= 3 x 3 x 3

= 9 x 3

= 18 Cm³

A pile of sand has a weight of 76 kg.
The sand is put into a small bag, a medium bag and a large bag in the ratio 1:2:5.

Work out the weight of sand in each bag

Answers

Answer:

1- 9.5kg

2- 19kg

5- 47.5kg

Step-by-step explanation:

1+2+5= 8

76÷8= 9.5

9.5 ×1= 9.5

9.5× 2= 19

9.5× 5= 47.5

2. Enrico earns a 3% commission on everything he sells at a store. On one day, he sold items priced at $86, $245, and $295. How much commission did he earn that day?
Answer
A. $18.78
B. $88.50
C. 5187.80
D. $626

Answers

I think $18.78 number (A)

Answer:18.75

Step-by-step explanation:

Solve x3 = 270. A) x = 3 10 B) x = 10 3 C) x = 30 9 D) x = 9 30

Answers

Answer:

A.) 3[tex]\sqrt[3]{10}[/tex]

Step-by-step explanation:

x3 = 270

↓

[Take the root from from both sides and solve]

↓

x = 3[tex]\sqrt[3]{10}[/tex]

[Assuming you couldn't paste the square root symbol and subscript numbers, the answer should be A]

↓

A.) 3[tex]\sqrt[3]{10}[/tex]

[ANSWER CHOICES]

A.) x = 3 10

B.) x = 10 3

C.) x = 30 9

D.) x = 9 30

Write 72.0506 correct to
(i) 2d.p

Answers

Answer:

72.05

Step-by-step explanation:

72.0506 - 72.05

...

Which point is located at the origin?

Answers

Answer:

it is point A

Step-by-step explanation:

because it is in the centre of the ghraph and that's the origin

If f(x) = x + 1, and g(x) = 2x

Answers

Answer:

B. (f-g)(x)=4^x-1-2x+11

(f-g)(x) = (4^x-1+6) - (2x-5)

apply like terms while retaining order of operations

6 - (-5) = 11

4^x - 1 - 2x + 11

Step-by-step explanation:

Answer:

Answer:

Hm, if Ariana wants to save money for her house, she should spend less money on fast food a month because if she spending $100 dollars for takeout coffee and spending at the same time a month for fast food. she should eat less fast food and less money for coffee because she would be spending way too much money because F = $200 and C = $100 dollars, so $200 + $100 dollars would be $300 dollars a month. she could still have takeout coffee however, not every month. The fast food needs to be taken out of her diet as well because its the fact its unhealthy and costing her way too much money, she should stop having fast food and not have coffee or the fast food EVERY MONTH, she could have the fast food evert 5 months and her takeout coffee every once a month. hopefully this helps ^^

Answer:

Step-by-step explanation:

Hiroki's mom is worried he is not saving enough. She says he should save some money for an emergency. He says he can use his credit card in an emergency. Who is right

Write an equation of a line that passes through the point (4, 3) and is perpendicular to the graph of the equation y=-1/3 +4.

Answers

Answer:

y=3x-9

Step-by-step explanation:

Hi there!

we are given a point (4,3), and a line (y=-1/3x+4)

Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1

first, let's find the slope of the new line.

we can find it with this formula: (m=slope)

-1/3m=-1

multiply both sides by -3

m=3

here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept

y=3x+b

we need to find b

Because the line passes through the point (4,3), we can use it to find b

substitute x as 4 and y as 3

3=3(4)+b

multiply

3=12+b

-9=b

substitute into the equation

y=3x-9

Hope this helps!

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Arun sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 128 visitors purchased no costume. 3 visitors purchased exactly one costume. 5 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase exactly one costume as a fraction in simplest form.

Answers

Answer:

3/136

Step-by-step explanation:

128 + 3 + 5 = 136

= 3/136 (simplest form)

Trigonometry review.

Answers

Do u want an answer or r u just posting it

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