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3 years ago

What is the area of the parllelogtam shown below

Mathematics

1 answer:

Umnica [9.8K]3 years ago

6 0

<h3>Answer: 16 square units</h3>

Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5

a^2 + b^2 = c^2

3^2 + x^2 = 5^2

9 + x^2 = 25

x^2 = 25-9

x^2 = 16

x = sqrt(16)

x = 4

This is a 3-4-5 right triangle.

The height of the parallelogram is 4 units.

We have enough info to find the area of the parallelogram

Area of parallelogram = base*height

Area of parallelogram = 4*4

Area of parallelogram = 16 square units

Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.

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In rectangle PQRS, SQ = 78, PS = 30, and mPRS = 23°. Find SR.

kondor19780726 [428]

$\cos (23)=\frac{sr}{78}\rightarrow78\cdot\cos (23)=SR=67.20$

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1 year ago

If l = 60 inches, w = 65 inches, h = 50 inches, and t = 40 inches, counting the floor, what is the volume of the tent?

defon

Answer:

To find volume of a tent this would be your formula:

start by taking the base of the triangle on your tent typically located in the front

1/2 (height) (width) to get your area (DONT SKIP THIS STEP)

Then take your area you just calculated and do

(area) (length)

Let me give you an example:

in the picture below

height: 3 cm

length: 8 cm

Width: 12 cm

Next do your first formula:

1/2 (3)(12)= 18 cm

(Calculation of one face)

then your second:

(18)(8)= 144 $cm^3}$

Hopefully this guide helped you sorry i couldn't answer your question without a picture!

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2 years ago

What are the factors of (r+t)(e)

mina [271]

Depending on the values of 'r', 't', and 'e', the numerical value of that expression
might have many factors.

For example, if it happens that r=5, t=1, and e=4 for an instant, then, just
for a moment, (r + t)(e) = (5+1)(4) = 24, and the factors of (r+t)(e) are
1, 2, 3, 4, 6, 8, 12, and 24 . But that's only a temporary situation.

The only factors of (r+t)(e) that don't depend on the values of 'r', 't', or 'e' ,
and are always good, are (<em>r + t</em>) and (<em>e</em>) .

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3 years ago

The cable company charges $30 to install new supplies at your house. Each month the cable bill is $75. Which equation models the

Anna11 [10]

Equation: $30+$75m
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2 years ago

Read 2 more answers

The simplest form of the expression 4m-17/m^2-16 + 3m-11/m^2-16 has ____in the numerator and___ in the denominator.

lara31 [8.8K]

For this case we have the following expression:
$\frac{4m-17}{m^2-16} + \frac{3m-11}{m^2-16}$
Since the denominator is equal, then we can add the numerator.
We have then:
$\frac{(4m-17) + (3m-11)}{m^2-16}$
Adding similar terms we have:
$\frac{(4m+3m) + (-17-11)}{m^2-16}$
Rewriting we have:
$\frac{7m - 28}{m^2-16}$
Doing common factor in the numerator we have:
$\frac{7(m - 4)}{m^2-16}$
Factoring the denominator we have:
$\frac{7(m - 4)}{(m-4)(m+4)}$
Canceling similar terms we have:
$\frac{7}{m+4}$
Answer:
The simplest form of the expression has 7 in the numerator and m+4 in the denominator.

3 0

2 years ago