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drek231 [11]
3 years ago
7

The diameter of a circle measures 32 yd. What is the circumference of the circle?

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer:

100.48yds

Step-by-step explanation:

C= Circumference

π=3.14

R=radius

C=2πr

C=2(3.14)*16

C=6.28*16

C=100.48yds

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The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
nordsb [41]

Answer:

Step-by-step explanation:

The Earth, Sun and Moon form a right triangle.

By the definition of cosine in a right triangle we can write that  

cos x ° = adjacent side /hypothenuse  = y/ distance Moon Sun

Since we measured the angle x, and the distance y we can use algebra to find the unknown distance between the moon and the Sun.

distance Moon Sun = y/cos x°

7 0
3 years ago
Alonzo takes 12 minutes to run 6 times around a 400-meter track. Assuming he runs at a constant speed, how long does he take to
snow_lady [41]

Answer:

5 minutes to run 1 kilometer

Step-by-step explanation:

Alonzo takes 12 minutes to run 6 times around a 400-meter track.

6 times around a 400 m track

400 * 6 = 2400 meters

It take 12 minutes to run 2400 meters

2400 meters = 2400/1000 = 2.4km

distance = 2.4 km  and time = 12 minutes

Now we find our constant speed

Distance = speed * time

2.4 = speed * 12

divide by 12 on both sides

speed = 0.2

so speed is 0.2 km per minute

Now we find out time when distance = 1km

Distance = speed * time

1 = 0.2 * t

divide by 0.2 on both sides

5 = t

So it take 5 minutes to run 1 kilometer

3 0
3 years ago
Pls heeeeeeeeeeeeeeeeeeeeeeeeelp
bonufazy [111]
So
Total cost of the workbooks is d
And the number of workbooks is t
Therefore d = 95
95=19t
t=95/19=5
5 workbooks
6 0
3 years ago
Plsssss HELP me my exam is tomorrow
Charra [1.4K]

Answer:

6

Step-by-step explanation:

\sqrt{3} * \sqrt{12} =   \sqrt{3} * \sqrt{4} * \sqrt{3}\\\sqrt{4} = \sqrt{2*2} = 2\\\\

Therefore, \sqrt{3} * \sqrt{4} * \sqrt{3} = \sqrt{3} * 2 * \sqrt{3}\\\sqrt{3} * \sqrt{3} * 2 = 3 * 2 = 6

6 0
3 years ago
Araine borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years?
DiKsa [7]

Answer:

Interest Charged = $80

Total payback = $480

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present Value (PV) = $400

Time period (n) = 4 years

Interest rate (r) = 5%

So, we can calculate the future value(FV), by using following formula,

FV = PV ( 1 + n × r)

By putting the value, we get

FV = $400 ( 1 + 4 × 0.05)

= $480

Hence total amount she has to pay back = $480.

Interest charged = FV - PV

= $480 - $400

=$80

5 0
3 years ago
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