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il63 [147K]
3 years ago
13

A cylinder has a base with a diameter of 6 cm, and a height of 12 cm. What is its volume?

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

V≈339.29cm³

Step-by-step explanation:

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A farmer is designing a field for his new horse. In order for the field to fit into his farm, the angle θ must be less than 40◦,
vovangra [49]

Answer:

The field will not fit

Step-by-step explanation:

To find the angle, we will use cosine rule;

c² = (a² + b² - 2abcosC)

C in this case is θ

Thus;

15² = (8² + 20² - 2(8 × 20)cos θ)

225 = (64 + 400 - 320cos θ)

464 - 225 = 320cos θ

cos θ = 239/320

θ = cos^(-1) 0.7469

θ = 41.68°

Thus angle is not less than 40° as recommended. Thus, the field will not fit.

5 0
3 years ago
Population density is the number of people per unit of area. What is the population density of a state that has 1,627,260 people
Tresset [83]

Answer:

             = 1092 people/ sq mile  

Step-by-step explanation:

Population density is the number of people per unit of area.


We know the population is 1627260

The are is 1490 mi ^2

Population density = 1627260/1490

                                 =1092.120805  people / sq mile

Round to the nearest whole number

                                  = 1092 people/ sq mile  

6 0
3 years ago
What is the answer for this diamond problem ?
ElenaW [278]
I’d say A , 3 and 6
6 0
3 years ago
James used a calculator to evaluate 8.931×7.38 but forgot to enter the decimal points. The answer he got was 6 591 078. What sho
likoan [24]

Answer:

65.91078

Step-by-step explanation:

You add the two decimals, that gives you two decimals. Use those two decimals and place them to the right of the answer. =0)

3 0
3 years ago
Please explain in detail how you solved.​
Alex17521 [72]

Step-by-step explanation:

Since this is a right triangle and we are given an angle measure that measure 45, the other angle measure also measure 45.

So this means we are dealing with a 45-45-90 triangle.

A 45-45-90 triangle legs are equal to each other and the hypotenuse measures sqr root of 2 times more than the legs.

The hypotenuse measure 2 times sqr root of 14 so divide by sqr root of 2 to find x and y.

\frac{2 \sqrt{14} }{1}  \times   \frac{1}{ \sqrt{2 } }  =  \frac{ \sqrt{56} }{ \sqrt{2} }  =  \sqrt{28}  = 2 \sqrt{7}

Since x and y are equal, they both measure

2 \sqrt{7}

5 0
3 years ago
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