Place an operation sign between two digits to make the equation true 9625807=8818

S_A_V [24]

To answer question 12, you first need to know the definition of a prism and a pyramid.

A pyramid is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.

A prism is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.

12.
Shape A is a pyramid, because it has one base, and all the faces join together in at one point.

Shape B is a prism, because it has two bases, and faces joining every side of the bases.

Shape C is a prism.

Shape D is a pyramid.

For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.

A cube is a 3-D shape with six sides, all made up of squares of the same size.

The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.

This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.

1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.

To find the number of layers needed to fill the box, you divide 120 by 24.

120 ÷ 24 = 5

The answer to #13 is 5 layers.

7 0

3 years ago

Each side of a square is increased by 3 inches. The perimeter of the new square is 40 inches more than twice the length of the s

RUDIKE [14]

Length of side of new square is 17 inches

Step-by-step explanation:

Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x

Perimeter of a square = 4 × side

⇒ 4(x + 3) = 40 + 2x

⇒ 4x + 12 = 40 + 2x

⇒ 2x = 28

⇒ x = 14 inches

Step 2: Find length of side of the new square

⇒ x + 3 = 17 inches

6 0

2 years ago

Let f be defined as shown. What is f^-1(-3)

Irina18 [472]

Hello,

$f^{-1}(-3)=-1\\$

You have just to read the arrows un reversed order:

in f we find (-1,-3) so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)

5 0

2 years ago

Write the expression: y divided by the quantity x minus 10. A) x − 10 y B) y x − 10 C) x − 10 y D) y x − 10

Finger [1]

Answer:

y/(x - 10)

Step-by-step explanation:

The quantity is x minus ten, which means that it is (x - 10)

y divided by the quantity = y/(x - 10)

~

5 0

2 years ago

Read 2 more answers

Rewrite the expression in terms of the given function 1/1-sinx - sinx/1+sinx

Feliz [49]

Your question seems a bit incomplete, but for starters you can write

$\dfrac1{1-\sin x}-\dfrac{\sin x}{1+\sin x}=\dfrac{1+\sin x}{(1-\sin x)(1+\sin x)}-\dfrac{\sin x(1-\sin x)}{(1+\sin x)(1-\sin x)}=\dfrac{1+\sin x-\sin x(1-\sin x)}{(1-\sin x)(1+\sin x)}$

Expanding where necessary, recalling that $(1-\sin x)(1+\sin x)=1-\sin^2x=\cos^2x$ , you have

$\dfrac{1+\sin x-\sin x(1-\sin x)}{(1-\sin x)(1+\sin x)}=\dfrac{1+\sin x-\sin x+\sin^2x}{\cos^2x}=\dfrac{1+\sin^2x}{\cos^2x}$

and you can stop there, or continue to rewrite in terms of the reciprocal functions,

$\dfrac{1+\sin^2x}{\cos^2x}=\sec^2x+\tan^2x$

Now, since $1+\tan^2x=\sec^2x$ , the final form could also take

$\sec^2x+\tan^2x=\sec^2x+(\sec^2x-1)=2\sec^2x-1$

or

$\sec^2x+\tan^2x=(1+\tan^2x)+\tan^2x=1+2\tan^2x$

7 0

3 years ago