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3 years ago

If the ratio of boys to girls at the school is 2:5 and there are 40 boys how many girls are there?

Mathematics

1 answer:

sukhopar [10]3 years ago

5 0

Answer:

100 girls

Step-by-step explanation:

The ratio of boys : girls is 2 : 5.

In other words, boys are 2 parts of the school while girls are 5 parts of the school.

Since there are 40 boys, 2 parts of the school is 40. Thus:

$2p = 40\\p = 20$

1 part is 20.

Since there are 5 parts girls, there are

$5p = 5*20 = 100$

100 girls.

Answer: 100 girls

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Find cos θ if sin θ = -12/13 and tan θ > 0

Anarel [89]

SinФ=-12/13
cosФ=Base/hypotenus
(hy)^2-(perpendicular)^2=(base)^2=13^2-12^2=5
cosФ=-5/13

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3 years ago

What is the surface area of the triangular prism Not drawn to scale 2001 2376 2592 4320

liq [111]

Answer:

Option B. 2376 Square feet

Step-by-step explanation:

The following were obtained obtained from the question:

Base (B) = 24ft

Length (L) = 40ft

Height (H) = 9ft

Slant height (S) = 15ft

Surface Area (A) =?

The surface area (A) for triangular prism is given below:

A = BH + 2LS + LB

Where:

B is the Base

L is the Length

H is the Height

S is the Slant Height

A is the Surface Area

Using the above equation, the surface area can be obtained as follow:

A = BH + 2LS + LB

A = (24x9) + (2x40x15) + (40x24)

A = 216 + 1200 + 960

A = 2376 ft2

7 0

3 years ago

Read 2 more answers

Use the definition of continuity and the properties of limits to show that the function

Zepler [3.9K]

Answer:

Applied the definition and the limit.

They had the same result, so the function is continuous.

Step-by-step explanation:

At function f(x) is continuous at x = a if:

$\lim_{x \to a} f(x) = f(a)$

In this question:

$f(x) = x^{2} + 5(x-2)^{7}$

At x = 3.

$\lim_{x \to 3} x^{2} + 5(x-2)^{7} = 3^{2} + 5(3-2)^{7} = 14$

$f(3) = 3^{2} + 5(3-2)^{7} = 14$

Since $\lim_{x \to 3} f(x) = f(3)$ , f(x) is continuous at x = 3.

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3 years ago

1. If there is a decrease of 31 percent, what decimal do we multiply by to get the amount after the decrease?

sdas [7]

answer

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Your measure start at 16. So that is the basis (unless stated otherwise) upon which you reference the change.

That is:

20−16

is you fraction.

This gives:

→

16÷4

4÷4

For this to be a percentage we need the denominator such that it becomes 100. Thus we have:

→(

×1)→(

100

To express this in the standard script form we have 25%

お役に立てば幸いです

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2 years ago

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William is competing in the shot put event at a track meet. The quadratic expression that models the vertical height of the shot

Tanzania [10]

Answer:

The zero of the equation represents the maximum height attained by the shot put.

Step-by-step explanation:

William is competing in the shot put event at a track meet. The quadratic expression that models the vertical height of the shot from the ground is

H = $-2x^{2}+3x+5$

We can find the zeroes of these two equations.

For that put H = 0.

$-2x^{2}+3x+5$ = 0

(-2x + 5)(x + 1) = 0

x= -1 or x = 2.5

x= -1 is neglected as it is not practical.

x = 2.5 is the maximum height attained by the shot put.

The zero of the equation represents the maximum height attained by the shot put.

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3 years ago