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melomori [17]
3 years ago
14

Find the area of the given figure and please put all the steps you made as well

Mathematics
1 answer:
mylen [45]3 years ago
3 0

Answer:

B. 196.5

Step-by-step explanation:

First lets fine the semi circle's area.

The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.

The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14

(3.14)(8)²=200.96 and half of that is 100.48

The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.

The formula for area of an triangle is A=1/2bh

We can see that the base is 16 and height is 12, and now plug it in.

A=1/2(16)(12)= 96.

The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.

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Answer:13

Step-by-step explanation:

2 times 3 is 6 so then we add 7 to get 13

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4 years ago
In kite PQRS, m∠TQP=63°. Identify m∠QPT.
mario62 [17]
Assuming m<PTQ is a right angle (measuring 90°) and angle TQP is already marked as 63° while knowing there are 180° in a triangle, you would take 180°- 63°- 90°= 27
8 0
3 years ago
Read 2 more answers
I really need help with 15 and 16 please
Mandarinka [93]

Answer:

  15. 50 kg

  16a. 5 kg

  16b. 3.75 kg

Step-by-step explanation:

The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².

  F = ma

  m = F/a . . . . . divide by a

__

15. m = (250 N)/(5 m/s²) = 50 kg

__

16a. m = (15 N)/(3 m/s²) = 5 kg

16b. m = (15 N)/(4 m/s²) = 3.75 kg

_____

<em>Comment on units</em>

Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).

6 0
3 years ago
Lela and Pepe are playing a video game. The ratio of Lela’s game score to Pepe's score is 2 : 5. Then Lela completes a quest and
Fed [463]

Answer:        Lela's original score was 16.

Step-by-step explanation:

Alright lets get started.

Suppose Lela score was L.

Suppose Pepe score was  P.

The ratio of Lela’s game score to Pepe's score is 2:5

So the equation will be

\frac{L}{P} = \frac{2}{5}

Cross multiplying

5\times L=2\times P

P=\frac{5\times L}{2}.................equation 1

Then Lela completes a quest and scores 12 bonus points. The new ratio becomes 7:10

\frac{L+12}{P} =\frac{7}{10}

Cross multiplying

10(L+12)=7P

Plugging value of P from equation 1

10(L+12)= 7\times\frac{5L}{2}

20L+240=35L

15L=240

L=16

Hence the score of Leela originally was 16.                Answer

5 0
3 years ago
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Alex777 [14]

Step 6. Check the answer in the problem and make sure it makes sense.

Yes, 75+0.25\left(500\right)=200.

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3 years ago
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