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UkoKoshka [18]
3 years ago
11

12(5+2y)=4y-(6-9y) How to Solve

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

y = -6

Step-by-step explanation:

12 (5 + 2y) = 4y- (6 - 9y)

= 60 + 24y = 4y - 6 + 9y

= 60 + 24y = 13y - 6

= 24y - 13y = -6 - 60

= 11y = -66

y = -6

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The surface area of a cube is 384 square inches. What is the volume of the cube?
lozanna [386]
384/6 (amount of faces) = 64
64/2 (area= l*w) = 32
32*3 (volume=l*w*h) = 96

I'm pretty sure this is correct, maybe just double check and see if this makes any sense according to what you're learning? I'm almost 100% sure. Hope this helps!
6 0
3 years ago
Read 2 more answers
Verify the identity<br> <img src="https://tex.z-dn.net/?f=csc%5E%7B2%7Dx-csc%5E%7B2%7Dxcos%5E%7B2%7Dx%3D1" id="TexFormula1" titl
Degger [83]

Answer:

The answer to your question is below

Step-by-step explanation:

                               csc²x - csc²x cos²x = 1

Process

1.- Convert the second term to sines

                             csc²x - cos²x/sin²x = 1

2.- Convert cos²x/sin²x to cot²x

                             csc²x - cot²x = 1

3.- Solve for csc²x

                             csc²x = 1 + cot²x

We have verified it, because there is a Pythagorean identity which sets that

                              csc²x = 1 + cot²x

3 0
3 years ago
Bill draws a regular octagon. He divides the octagon into eight congruent isosceles triangles. What are the measures of the thre
11Alexandr11 [23.1K]
See the picture attached to better understand the problem

we know that
<span>the formula for calculate the sum of the internal angles in a regular polygon is
</span>Sum=(n-2)*180
for n=8
sum=(8-2)*180----> 1080°
1080°----> divide by number of sides
1080/8=135°
so
in the figure
∠ BAD=135°
∠ BAC=∠ BAD/2---> 135°/2---> 67.5°
∠ BAC=67.5°

the triangle ABC is an isosceles triangle
so
∠ ABC=∠ BAC
∠ ABC=67.5°
the sum of the internal angles of the triangle is equal to 180 degrees
∠ BCA=180-(67.5+67.5)------> 45°
∠ BCA=45°

t<span>he measures of the three angles in the isosceles triangle are
</span>∠ BAC=67.5°
∠ ABC=67.5°
∠ BCA=45°



7 0
3 years ago
F(4) = 30 If g(x) = 2, x= y = g(x) 20 10 -8 -10 y = f (2) -20​
Lelechka [254]
What are the choices?
4 0
2 years ago
David wants to build a rectangular fencing with the 5 identical parts for his animals. He has 780 feet of fencing to make it. Wh
Vladimir79 [104]

Answer:

65 ft by 39 ft

Step-by-step explanation:

Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is

6x+10y=780

The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is

A=x\cdot 5y

From the first equation,

y=78-0.6x

Substitute it into the area expression:

A(x)=x\cdot 5(78-0.6x)=390x-3x^2

Find the derivative:

A'(x)=390-3\cdot 2x=390-6x

Equate it to 0:

390-6x=0\\ \\6x=390\\ \\x=65

Then

y=78-0.6\cdot 65=78-39=39

5 0
3 years ago
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