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2 years ago

15

The ratio of 7th grade students to 8th students in a soccer league is 17:23. If there are 200 students in all, how many are in t

he 7th.

1 answer:

Katarina [22]2 years ago

8 0

Answer:

<h2>35</h2>

Step-by-step explanation:

<h2>17:23=17+23=40</h2><h2><u>7</u>×200</h2><h2>40</h2><h2><u>7</u>×20</h2><h2>4</h2><h2>7×5=35</h2>

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Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs

Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

$AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}$

$AB \approx 7.616$

BC

$BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}$

$BC \approx 6.325$

AC

$AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}$

$AC \approx 5.831$

Now we determine the area of the triangle by Heron's formula:

$A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}$ (1)

$s = \frac{AB+BC + AC}{2}$ (2)

Where:

$A$ - Area of the triangle.

$s$ - Semiparameter.

If we know that $AB \approx 7.616$ , $BC \approx 6.325$ and $AC \approx 5.831$ , then the area of the triangle is:

$s \approx 9.886$

$A = 18$

The area of the triangle is 18 square units.

7 0

2 years ago

A swimming pool has an average depth of 1.6 m. It is 50 m long and 30 m wide. What is the volume?

Neko [114]

Answer:

2400m³

Step-by-step explanation:

50 * 30 * 1.6 =

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2 years ago

Which equation is correctly rewritten to solve for x?

ikadub [295]

Answer:

Option (A)

Step-by-step explanation:

Te given equation is,

-qx + p = r

Toe find the value of x,

By subtracting p from both the sides of the equation.

-qx + p - q = r - q

-qx = r - q

By dividing the whole equation by (-q),

$\frac{-qx}{(-q)}=\frac{r-p}{-q}$

x = $-\frac{r-p}{q}$

x = $\frac{p-r}{q}$

Therefore, Option (A) will be the answer.

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2 years ago

PLEASE HELP ASAP

Vlad [161]

Answer:

1 : 6 . . . . or 1/6

Step-by-step explanation:

We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...

drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

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2 years ago

5 % of 401.16 m Give your answer rounded to 2 DP.

baherus [9]

Answer: 20.058

Step-by-step explanation:

401.16 x 0 05

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3 years ago