Jessica has $35.She gives 2/5 oh her money to her sister.How much money did she give her sister?

1 answer:

6 0

She gave $14 to her sister.

Explanation:
The word "of" in fraction word problems USUALLY signals for you to multiply. So, we want to find 2/5 of 35, so we multiply 2/5 x 35. That gives us 14, therefore she gave $14 to her sister

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Write a quadratic function f whose only zero is 11

Stells [14]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Here's the solution ~

To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !

Since our only root is 11 here, we have to do t double

$\qquad \sf \dashrightarrow \:(x - 11)(x - 11)$

$\qquad \sf \dashrightarrow \: {x}^{2} - 11x - 11x + 121$

$\qquad \sf \dashrightarrow \: {x}^{2} - 22x + 121$

That's our required function ~ I hope you understood the whole thing !

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2 years ago

Gabriel makes a model of a pyramid with the dimensions shown. A square pyramid. The square base has side lengths of 12 inches. T

GalinKa [24]

Answer:

Area of the square base: 144 in²

Area of each triangular face: 66 in²

Amount of paint needed: 408 in²

Step-by-step explanation:

We basically want to find the surface area of this square pyramid.

First, find the areas of the 4 triangular sides. The area of a triangle is denoted by: $A=\frac{1}{2} bh$ , where b is the base and h is the height.

Here, the base coincides with the side length of the square, so b = 12. The height is 11, so h = 11. Plug these in:

$A=\frac{1}{2} bh$

$A=\frac{1}{2}$ * 12 * 11 = 66 inches squared

Each triangular face is thus 66 inches squared.

Since there are 4 triangles, multiply 66 by 4: 66 * 4 = 264 inches squared

Now, find the area of the square base. The area of a square is: A = s * s, where s is the side length. Here, the side length is 12, so s = 12. Plug this into the equation:

A = s * s

A = 12 * 12 = 144

So, the square base is 144 inches squared.

Finally, add 144 to 264 to get the total area Gabriel needs to paint:

144 + 264 = 408 inches squared

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3 years ago

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