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3 years ago

Find the area of a parallelogram with the given vertices. P(-2, -5), Q(9, -5), R(1, 5), S(12, 5)

Mathematics

1 answer:

valentina_108 [34]3 years ago

4 0

Answer:

The area of the parallelogram is 55 square unit.

Step-by-step explanation:

The area of a parallelogram is

$A=\frac{1}{2}\times base\times height$

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).

Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.

From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is

$A=\frac{1}{2}\times 11\times 10$

$A=55$

Therefore the area of the parallelogram is 55 square unit.

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The experimental probability would be 33 out of 60 or 55%

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3 years ago

Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

dmitriy555 [2]

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ .

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$6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s$

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3 years ago

If A = 30° and r = 12, find x. (Round your answer to the nearest whole number.)

Margaret [11]

Answer:

$\boxed{12}$

Step-by-step explanation:

A = 30° and r = 12

$\sin A = \frac{r}{r + x}$

$\sin 30 = \frac{12}{12 + x}$

$\frac{1}{2} = \frac{12}{12 + x}$

$1(12 + x) = 2(12)$

$12 + x = 24$

$x = 24 - 12$

$x = 12$

Happy to help :)

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3 years ago

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If f(x) = 62.7"), what is 13)?

Lemur [1.5K]

Answer:

f(x)=|x−13|+11

To find the x

coordinate of the vertex, set the inside of the absolute value x−13 equal to 0. In this case, x−13=0

x−13=0

Add 13

to both sides of the equation.

x=13

Replace the variable x

with 13

in the expression.

y=|(13)−13|+11

Simplify |(13)−13|+11

.The absolute value vertex is (13,11)

hope this helps ;)

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3 years ago

HELP MEEEEEEEEEEEeeeeeee

Natasha2012 [34]

Answer:

Step-by-step explanation:

10 x 8 equals the area for a square/rectangle then multiplied by .5 equals area for a triangle. You multiply because triangles are half of a square.

Can you give brainliest to all of your questions bc it really hard to get brainliest and it be really nice you can choose who i dont really care but just please do it it helps a lot

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3 years ago

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