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fredd [130]
2 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]2 years ago
7 0

Answer:

The area is 9.5 feet

Step-by-step explanation:

Aliun [14]2 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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Igoryamba

Answer:

y= -2/5 x -4

Step-by-step explanation:

So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:

m=(y2 - y1 )/(x2 - x1)

If you were using the points, (-10,0) and (0, -4) the equation would be:

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So, m= -2/5

The equation of the line would end up being:

y= -2/5 x -4

4 0
3 years ago
PLSSS HELP THIS IS HARD ANYONE
Nikolay [14]

Answer:

270 degrees counterclockwise rotation/ the last answer

Step-by-step explanation:

reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle

dilation would change the size of the shape

and translation wouldn't map it correctly bc it would still be turned the wrong way

3 0
2 years ago
Read 2 more answers
A tree casts a shadow 27 m long. At the same time, the shadow cast by a 66-cm tall statue is 56 cm long. Find the height of the
Nata [24]
\frac{height _{1} }{shadow_{1}} =  \frac{height _{2} }{shadow_{2}}

\frac{height _{1} }{27m} = \frac{66cm}{56cm}

\frac{height _{1} }{2700cm} = \frac{66cm}{56cm}

2700*66=56*h _{1}

178200=56h _{1}

3182.1cm=h _{1}

\frac{3182.1cm}{1000cm} = 3.2m

height:3.2m
6 0
3 years ago
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5-2(4a+1)+3a=13 <br><br> A= 2/3<br> A= -2<br> A= -6/5<br> A=2
VMariaS [17]

Answer:

                   a = -2

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6 0
3 years ago
3.7m∧5÷3.7m∧2 How do I complete this expression?
hjlf

The average ocean depth is 3.7 × 103 m, and the area of the oceans is 3.6 × 1014 m2. What is the total volume of the ocean in liters? (One cubic meter contains 1000 liters. Round your answer to one decimal place.)

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