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Artemon [7]
3 years ago
12

(please explain how you got your answer, thank you)

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
A, 20%, because 21 divided by 105 times 100 is 20%.
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An equilateral triangle has a perimeter of 48 cm. What is the area?
KiRa [710]

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

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

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

6 0
2 years ago
Logan bought 15 balloons four-fifths all of the balloons are purple. How many of the balloons are purple? Draw a model to show h
8090 [49]
Separating the balloons into five equal groups 

<span>⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ </span>

<span>each group (fifth) has three balloons ___ four-fifths is twelve</span>
5 0
2 years ago
Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes.
OverLord2011 [107]

Answer

Find out the conversion factor for seconds to minutes and convert  135 seconds to minutes.

To prove

1 minute = 60 second

for seconds to minutes.

1 second = \frac{1}{60}\ minutes

Therefore the conversion factor for seconds to minutes be

= \frac{1}{60}\ minutes

Now convert  135 seconds to minutes.

= \frac{135\times 1}{60}

= 2.25 minutes

Hence proved

4 0
3 years ago
Read 2 more answers
50 POINTS What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2
torisob [31]

Answer:

a1=2 and r=-1

Explanation:

"A geometric series is a series with a constant ratio between successive terms".

Here, we can observe that the first term 'a' is '2'.

And the common ratio 'r' =

Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.

8 0
3 years ago
Read 2 more answers
A standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 diamonds. What is the probability of drawi
cestrela7 [59]

13/ 52 = 1/4 chances.

There are 13 spades and 52 cards. You divide the spades and cards in the deck to find your chances of drawing one.

You have a 25% chance of getting a spade.

Now you put it back. Since you put it back, you still have the same number of cards and the same number of spades. So when you divide 13/52 again, the numbers are still the same. 1/4. 25% chance.

So, you still have a 25% chance the second time around.

5 0
3 years ago
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