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kumpel [21]
3 years ago
15

A semicircle is attached to the side of a rectangle as shown.

Mathematics
1 answer:
katrin [286]3 years ago
8 0
I think the answer is 43.8.
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In the right triangle shown, \angle B = 60^\circ∠B=60
Liono4ka [1.6K]

Answer:

Part 1) AC=6\sqrt{3}\ units

Part 2) AC=12\sqrt{3}\ units

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB  and the right angle is C

we know that

In the right triangle ABC

sin(B)=\frac{AC}{AB} ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(60^o)=\frac{AC}{12}

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{AC}{12}

AC=6\sqrt{3}\ units

Problem 2

The hypotenuse is the segment BC  and the right angle is A

we know that

In the right triangle ABC

tan(B)=\frac{AC}{AB} ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(60^o)=\frac{AC}{12}

Remember that

tan(60^o)=\sqrt{3}

substitute

\sqrt{3}=\frac{AC}{12}

AC=12\sqrt{3}\ units

5 0
3 years ago
Is the line for the equation y=-8 horizontal or vertical? what is the slope of this line? select the best answer
dalvyx [7]
The answer would be b
5 0
3 years ago
Need help with only number 5 and 6 please
fiasKO [112]

#5. X>-15 I hope this helps sorry I don’t know number six

3 0
3 years ago
Read 2 more answers
After 24 pencil had sharpened, the pencil sharpener receptacle is full. If receptacle is emptied in average of twice a day, how
stiks02 [169]

Answer:

12 Pencils Sharpened

Step-by-step explanation:

Since the sharpener receptacle is emptied out 2 times every day.

Do 24*2 to get 48 pencils sharpened each day.

Now do 48/20 to get how many pencils a single person sharpens each day. Resulting in 2.4 pencils each day for 1 person.

Multiple 2.4 by 5 (Amount of days) to get 12 pencils in 5 days.

4 0
3 years ago
Does the construction demonstrate how to copy a segment correctly by hand
Lelechka [254]

Answer:

There is not enough context here.

6 0
4 years ago
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