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saul85 [17]
3 years ago
10

Thirty percent of all the

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer:

180 of the drinks sold were soda

Step-by-step explanation:

if we divide 600 by 0.30, which is 30%, we would get 180, so your answer would be 180.

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A regular decagon has sides that are 8 cm long. What is the area of the figure? Round to the nearest whole number.
blsea [12.9K]

<u>Given</u>:

Given that the regular decagon has sides that are 8 cm long.

We need to determine the area of the regular decagon.

<u>Area of the regular decagon:</u>

The area of the regular decagon can be determined using the formula,

A=\frac{s^{2} n}{4 \tan \left(\frac{180}{n}\right)}

where s is the length of the side and n is the number of sides.

Substituting s = 8 and n = 10, we get;

A=\frac{8^{2} \times 10}{4 \tan \left(\frac{180}{10}\right)}

Simplifying, we get;

A=\frac{64 \times 10}{4 (\tan \ 18)}

A=\frac{640}{4 (0.325)}

A=\frac{640}{1.3}

A=642.3

Rounding off to the nearest whole number, we get;

A=642 \ cm^2

Thus, the area of the regular decagon is 642 cm²

Hence, Option B is the correct answer.

5 0
3 years ago
The length of a rectangle is twice its width.
goldfiish [28.3K]
P = 2l + 2w
l = 2w

48 = 2(2w) + 2w
48 = 4w + 2w
48 = 6w
8 = w

l = 2w
l = 2(8)
l = 16

48 = 2(16) + 2(8)
48 = 32 + 16
48 = 48

Answer:
length = 16
width = 8
8 0
4 years ago
Read 2 more answers
1/3(m-1)=-5<br> Please help
dezoksy [38]

Answer:

m=-14 I hope this helps u

Step-by-step explanation:


6 0
4 years ago
Forty discrete math students are to be divided into eight discussion groups, each consisting of five students. In how many ways
VARVARA [1.3K]

Answer:

<h2>76904685 ways</h2>

Step-by-step explanation:

Given data

the number of students n=40

the number of groups r= 8

We are going to use the combination approach to solve the problem

nCr= n!/r!(n-r)!

substituting into the expression for the number of ways we have

40C8= 40!/8!(40-8)!

nCr= 40!/8!(32)!

nCr= 40!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*/8!

nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2

nCr= 3100796899200/40320

nCr=76904685 ways

4 0
3 years ago
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 2
ipn [44]

Answer:

120 miles.

Step-by-step explanation:

Use long division to find how many miles the car travels in 1 hour then we multiply by 4

: (7÷210=30)×4=120miles. Hope this helped ;D

6 0
3 years ago
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