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3 years ago

Find the area of the polygon.

Mathematics

1 answer:

zalisa [80]3 years ago

4 0

Answer:

$A=128\ cm^2$

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of a square plus the area of four congruent triangles

$A=b^2+4[\frac{1}{2}(b)(h)]$

where

$b=8\ cm\\h=4\ cm$

substitute

$A=8^2+4[\frac{1}{2}(8)(4)]$

$A=64+64=128\ cm^2$

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Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70 degree angle

LuckyWell [14K]

Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70
--> substitute (and make sure your calculator in in degrees) x= 21. 284

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4 years ago

What is your hart rate if you count 18 beats in 15 seconds

inna [77]

Answer:

Your heart rate would be 72 beats per minute

Step-by-step explanation:

You need to get 60 minutes so If you multiply 15 by 4, its 60. Do the same for 18 and your heart rate is 72 beats per minute

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3 years ago

The complement of an angle is 25°. What is the measure of the angle?

Jlenok [28]

Answer:

If the complement of an angle is 25 degrees, then the measurement of the angle will be 65 degrees.

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3 years ago

Determine the volume of the rectangular prism.<br>

Flauer [41]

Answer:

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2 $\frac{1}{2}$ and the height is 2 $\frac{1}{2}$

8 × 2 $\frac{1}{2}$ × 2 $\frac{1}{2}$

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2 $\frac{1}{2}$ = 20

20 × 2 $\frac{1}{2}$ = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

<u>50 ft³ is our final answer</u>

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3 years ago

I need to know how to do these asap!!

ludmilkaskok [199]

Answer:

Step-by-step explanation:

y =4/3 x+4

slope intercept form

y = mx+b

the y intercept is 4 (0,4)

and the slope is 4/3 which is change in y over change in x

we go up 4 to the right 3

we can rewrite the slope as -4/-3

so we can go down 4 and to the left 3

this would be point (-3,0)

we have 2 points marked, now draw a line throught them

8 0

3 years ago