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3 years ago

What is the perimeter of this figure A. 20m B. 21m C. 26m D. 27m

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

Step-by-step explanation:

First subtract 7 and 4.

7-4=3

6-3=3

________

7+3+6+3+4

7+3=10

10+6=16

16+3=19

19+4=23

(Ignore the 3 inside the shape)

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If the area of a rectangle is x^2+7x+12, what is the expression for the perimeter?

Cerrena [4.2K]

Length = 13 = (x + 3)

Width = 14 = (x + 4)

x2 + 7x + 12 = area of the rectangle

can be factored into

(x + 3)(x + 4)

Let L = one of the factors (x + 3)

Let W = the other factor (x + 4)

If x = 10 then

(10 + 3) = 13 = L

(10 + 4) = 14 = W

Checking this can be checked a couple of ways

Plug x = 10 into the original equation

x2 + 7x + 12

102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area

Multiplty the factors

L x W = 13 x 14 = 182 = Area

I hope you find this useful if you have any questions please send me a message.

3 0

3 years ago

Kiran is flying a kite He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and ma

Alexus [3.1K]

Answer: Approximately 8.49 feet

==================================================

Explanation:

Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.

Refer to the diagram below.

We'll use the sine rule to find x

sin(angle) = opposite/hypotenuse

sin(45) = x/12

12*sin(45) = x

x = 12*sin(45)

x = 8.48528137423857

x = 8.49

This value is approximate.

Make sure your calculator is in degree mode.

I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.

3 0

3 years ago

Which expression shows a way to find 50% of 632

Ilya [14]

Answer:

Well 50% of 632 is 316 but i need to see the expressions to be sure

Step-by-step explanation:

3 0

3 years ago

What is the value of "three less than the quotient of six and a number, increased by nine" when n = 3?

ale4655 [162]

Answer:

Step-by-step explanation:

3 less then the quotient of 6 and a number, increased by 9

((6/n) - 3) + 9.....when n = 3

((6/3) - 3) + 9

2 - 3 + 9

-1 + 9

8 <====

3 0

3 years ago

If f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4)

Likurg_2 [28]

Answer:

Part 1: Find (f/g)(4) = 3

Part 2: Find (f+g)(4) = 28

Step-by-step explanation:

Part 1: Find (f/g)(4):

(f/g)(4) means divide f function by g function and simplify it. Then plug in 4 into x of that simplified function.

Let's do this:

$\frac{x^2+2x-3}{x^2-9}\\=\frac{(x+3)(x-1)}{(x-3)(x+3)}\\=\frac{x-1}{x-3}$

Plugging in 4 into x gives us:

$\frac{x-1}{x-3}\\=\frac{4-1}{4-3}\\=\frac{3}{1}\\=3$

The answer is 3

Part 2: Find (f+g)(4):

(f+g)(4) means add f function and g function and simplify it. Then plug in 4 into x of that simplified function.

Let's do this:

$(x^2+2x-3)+(x^2-9)\\=2x^2+2x-12$

Plugging in 4 into x gives us:

$2x^2+2x-12\\=2(4)^2+2(4)-12\\=28$

The answer is 28

5 0

3 years ago