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2 years ago

CAN SOMEONE HELP ME WITH THIS QUESTION!!!

Mathematics

1 answer:

earnstyle [38]2 years ago

8 0

Answer:

Step-by-step explanation:

let a, b, c represent the number of students in 6th, 7th, 8th grade

ratio of students : teachers = 28 : 1

There are 82 teachers , so 28 × 82 = 2296 students

Then

a + b + c = 2296 , that is

828 + b + c = 2296 ( subtract 828 from both sides )

b + c = 1468 → E

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2x^3 + x^2 – 7x – 6 divided by 2x +3

nevsk [136]

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

0 + x^2 -x -2

___________________________________

(2x+3) | 2x^3 +x^2 -7x -6

-2x^3 -3x^2

_________

-2x^2 -7x

+2x^2 +3x

__________

-4x -6

+2x +6

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6 0

2 years ago

Need help smiling this 7-4(17-9)-22

8_murik_8 [283]

7-4(17-9)-22
7-32-22
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4 0

2 years ago

What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches

Anni [7]

Answer:

The answer is

<h2>36π cubic inches</h2>

Step-by-step explanation:

Volume of a sphere is given by

where r is the radius

From the question

r = 3 inches

Substitute the value into the above formula and solve for the volume

That's

<h3> $V = \frac{4}{3}( {3})^{3} \pi \\ = \frac{4}{3} \times 27\pi \\ = 4 \times 9\pi$ </h3>

We have the final answer as

<h3>36π cubic inches</h3>

Hope this helps you

4 0

2 years ago

4 cos²x – 1=0<br><br> What is the solution?

andreev551 [17]

Answer:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

Step-by-step explanation:

$4\text{cos}^2(x)-1=0\\4\text{cos}^2(x)=1\\$

$cos(x)=\pm\sqrt{\frac{1}{4} }$

$cos(x)=\pm\frac{1}{2}$

So, when cos(x) is equal to

$\frac{1}{2} \text{ and } -\frac{1}{2}$ ?

For

$cos(x)=\frac{1}{2}$

We are talking about x = 60º and x = 300º, Quadrant I and IV, respectively. In radians:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z}$

For

$cos(x)=-\frac{1}{2}$

We are talking about x = 120º and x = 240º, Quadrant II and III, respectively. In radians:

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

6 0

3 years ago

Using the formula C=2TTr, find the circumference of a circle with a diameter of 28 in. round your answer to the nearest inch

slava [35]

radius = diameter/2

so 28/2=14

using 3.14 for PI

2*3.14*14 = 87.92 = 88 inches

3 0

3 years ago

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