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3 years ago

Find the area of the shaded region (in the photo and step by step response please)

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Step-by-step explanation:

Area of shaded =Area of Outer rectangle - Area of Inner rectangle.

Area of inner rectangle = L× B.

L=18

B=11

Area of inner rectangle = 18×11

=198m^2

To find the full breadth of the outer rectangle

=2 in +11 + 2 in

=15

To find the full length of the outer rectangle

=2 in + 18 + 2 in

=22

Area= 22 × 15

Area = 330m^2

Area of shaded portion = 330 - 198

=132m^2

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Which of the following is the prime factorization for the number 2520?

Lesechka [4]

Answer: A

Step-by-step explanation:

5 x 7 x 8 x 9

5 x 7 = 35

35 x 8 = 280

280 x 9 = 2520

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3 years ago

Read 2 more answers

How do i solve this?

Nesterboy [21]

Answer:

$\large\boxed{-1}$

Step-by-step explanation:

$p(x)=x^3-2\ divided\ by\ (x-1)\\\\\text{We nedd only find the value of}\ p(1).\\\text{Put the x = 1 to the polynomial}\\\\p(1)=1^3-2=1-2=-1$

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3 years ago

The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at $4.00 each in

wolverine [178]

Answer:

The Math Club must sell at least 50 pies to reach the goal

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of sold pies

we know that

The inequality that represent the situation is

$4x\geq 200$

Solve for x

Divide by 4 both sides

$x\geq 200/4$

$x\geq 50\ pies$

The solution is the interval ------> [50,∞)

All positive whole numbers greater than or equal to 50

In a number line the solution is the shaded area at right of x=50 (close circle)

The Math Club must sell at least 50 pies to reach the goal

using a graphing tool

see the attached figure

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4 years ago

The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?

soldier1979 [14.2K]

Answer:

38.88

Step-by-step explanation:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

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2 years ago

Find the product.

4vir4ik [10]

Answer :

$6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3 {y}^{3} {z}+3 {y}^{2} {z}^{2}$

Step-by-step explanation :

To find the product of

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

$= 3 {y}^{2} z(2 {y}^{2} z) + 3 {y}^{2} z(4yz) - 3 {y}^{2} z(y )+3 {y}^{2} z( z)$

we now apply the law of indices

${a}^{m} \times {a}^{n} = {a}^{m+n}$

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.

Then, simplify to obtain

$= 6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3{y}^{3} {z}+3 {y}^{2} {z}^{2}$

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3 years ago