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3 years ago

15

Daria's goal to run 7 miles each weekend.She ran 3 1/3 miles on sturday and 3 3/4 miles on sunday.by how much did she beat her g

oal?

1 answer:

Brilliant_brown [7]3 years ago

4 0

She ran 7 and 1/12 miles. so she went 1/12 over her goal

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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t

Vlad1618 [11]

Answer:

$185553.7\text{ feet}^3$

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is $84\text{ feet}$ , and the total height of the building up to the top of the dome is $91\text{ feet}$ .

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be $h\text{ feet}$

As the dome hemispherical.

circumference of a hemisphere $=\frac{1}{2}\times2\pi\times radius$

$=\pi\times radius$

$\frac{22}{7}\times radius=84$

$radius=26.75\text{ feet}$

total height of the building up to the top of the dome $=\text{radius of hemisphere}+\text{height of mountaintop}$

$=26.75+h=91$

$h=64.25\text{ feet}$

Volume of building $=\text{volume of cylindrical mountaintop}+\text{volume of dome}$

$=\pi(radius)^2h+\frac{2}{3}\pi(radius)^3$

as radius of mountain top is same as dome

putting values

$=3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3$

$=145484.6+40069.1$

$185553.7\text{ feet}^3$

Hence the total volume of the building is $185553.7\text{ feet}^3$

5 0

3 years ago

The perfect squares between 61 and 102.

Bond [772]

Answer:

8^2 = 64

9^2 = 81

10^2 = 100

3 0

3 years ago

Read 2 more answers

Help? I cannot get my head around it.

sergejj [24]

Answer:

60cm³

Step-by-step explanation:

8 0

2 years ago

What is X equal to? It’s not 90

alekssr [168]

Answer:

x=45

Step-by-step explanation:

180-90=90÷2=45

7 0

2 years ago

Read 2 more answers

30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily

zepelin [54]

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

8 0

2 years ago