A shirt is on sale for $42 if this is 4/5 of the original price of the shirt what was the original price of the shirt

A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banne

Margarita [4]

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width l = 4w

Process

1.- Substitute length in the first equation

Area = w(4w)

Simplify

Area = 4w²

2.- Solve for w

w = $\sqrt{\frac{Area}{4}}$

Substitution

w = $\sqrt{\frac{144}{4}}$

Simplification

w = $\sqrt{36}$

Result

w = 6 ft

3.- Find l

l = 4(6)

l = 24 ft

8 0

3 years ago

The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

andriy [413]

Answer:

<h2>Yes, this is a right triangle.</h2>

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

${h}^{2} = {p}^{2} + {b}^{2}$

Plugging the values,

${15}^{2} = {12}^{2} + {9}^{2}$

Evaluate the power

$225 = 144 + 81$

Calculate the sum

$225 = 225$

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

4 0

2 years ago

Read 2 more answers

#12 with explanation please

4vir4ik [10]

Answer:

30.01 units

Step-by-step explanation:

<u>Given vertices WXYZ:</u>

W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)

Perimeter is the sum of the side length.

<u>Use distance formula to find each side:</u>

WX = $\sqrt{(2+4)^2+(4-5)^2} =\sqrt{37}$ ≈ 6.08
XY = $\sqrt{(3-2)^2+(-4-4)^2} =\sqrt{65}$ ≈ 8.06
YZ = $\sqrt{(-1-3)^2+(-6+4)^2} =\sqrt{20}$ ≈ 4.47
WZ = $\sqrt{(-1+4)^2+(-6-5)^2} =\sqrt{130}$ $\sqrt{(-1+4)^2+(-6-5)^2}=\sqrt{130}$ ≈ 11.40

<u>Find perimeter:</u>

P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units

7 0

3 years ago

Use the coordinate grid to determine the coordinates of point A;

faltersainse [42]

Answer:

Step-by-step explanation:

The coordinates of point P are (-1.4,0.6)

Step-by-step explanation:

We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.

that means each grid has a value of 0.2.

" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "

As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.

According to the given information P lies 7 grid lines to the left of y-axis.

i.e. it has x-value -7×0.2= -1.4

and 3 grid lines above the x-axis i.e. it has y-value:

y-value= 3×0.2=0.6

Hence, the coordinates of Point P are (-1.4,0.6).

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8 0

3 years ago

Read 2 more answers

Divide. write in smplest form 12÷2 2/7

Anit [1.1K]

I hope this helps you

3 0

3 years ago