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fredd [130]
3 years ago
13

A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to

the nearest tenth. Show all of your work.

Mathematics
2 answers:
Rina8888 [55]3 years ago
7 0

Answer:

The area is 9.5 feet

Step-by-step explanation:

Aliun [14]3 years ago
5 0

Answer:

A=9.5\ ft^2

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

so

A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}

we have

b=4\ ft

Find the height of the right triangle applying the Pythagorean Theorem

5^2=h^2+4^2

h^2=9\\h=3\ ft

The radius of the semicircle is half the height of triangle

r=3/2=1.5\ ft

substitute in the formula

A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}

A=6+3.5=9.5\ ft^2

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Factor the expression using the GCF 21+15
Svet_ta [14]

Answer:

3(7+5)

Step-by-step explanation:

21+15

Each term is divisible by 3

3*7 +3*5

3(7+5)

6 0
3 years ago
The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?
77julia77 [94]

A scalene triangle is a triangle that has 3 sides that are all different lengths.

Let these letters represent the problem:

a = 8.7

b = side 2

c = side 3

P = 54.6

To find the perimeter, we just need to add all the sides [ P = a + b + c ]

So, put what we have in the formula above.

54.6 = 8.7 + b + c

Best of Luck!

7 0
3 years ago
Read 2 more answers
Earl runs 35 meters in 10 seconds. How many meters does Earl run per second?
liraira [26]
If  he ran 35 meters in 10 seconds, how many meters did he run in a second?
35m=10s
   ?   =1
1/10*35m=3.5m
Therefore he ran 3.5 meters in a second.

8 0
3 years ago
Read 2 more answers
The angles of a triangle are 989, 51°, and x®,<br> What is the value of x?
Anastaziya [24]

9514 1404 393

Answer:

  x = 31

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  98° +51° +x° = 180°

  x° = 31° . . . . . . . . . . . . subtract 149°

  x = 31

6 0
2 years ago
when a cannonball is fired, the equation of its pathway can be modeled by h=-16t squared + 128t. find the time it will take for
Rashid [163]
At the time the cannonball reaches the ground, the vertical height of the cannonball from the ground is 0, i.e. h = 0.

Thus, the time it will take the cannonball to reach the ground is given by

-16t^2+128t=0 \\  \\ \Rightarrow t(-16t+128)=0 \\  \\ \Rightarrow t=0\ or\ -16t+128=0 \\  \\ \Rightarrow16t=128 \\  \\ \Rightarrow t= \frac{128}{16} =8

Therefore, it will take the cannonball 8 seconds to reach the ground.
5 0
3 years ago
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