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3 years ago

8

The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.

1 answer:

raketka [301]3 years ago

7 0

Answer:

400cm²

Step-by-step explanation:

the surface area of the sphere =

4/3 x The total surface area of a hemisphere

=> 4/3 x 300 = 400cm²

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In a scale drawing, a building has a length of 15 cm. The actual length of the building is 37.5 feet. Whats the scale of the dra

Feliz [49]

Answer:

$\frac{15}{37.5}\ \frac{cm}{ft}$

or

$1.31:100$

Step-by-step explanation:

we know that

The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building

so

$\frac{15}{37.5}\ \frac{cm}{ft}$

That means

15 cm in the drawing represent 37.5 ft in the actual

Remember that

$1\ ft=30.48\ cm$

Convert 15 cm to ft

divide by 30.48

$15\ cm=15/30.48\ ft$

substitute

$\frac{15}{37.5}\ \frac{cm}{ft}=\frac{(15/30.48)}{37.5}=\frac{0.0131}{1}$

or

$1.31:100$

That means

1.31 units in the drawing represent 100 units in the actual

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3 years ago

Approximate the area under the

taurus [48]

Split up the interval [0, 3] into 3 equally spaced subintervals of length $\Delta x = \frac{3-0}3 = 1$ . So we have the partition

[0, 1] U [1, 2] U [2, 3]

The left endpoint of the $i$ -th subinterval is

$\ell_i = i - 1$

where $i\in\{1,2,3\}$ .

Then the area is given by the definite integral and approximated by the left-hand Riemann sum

$\displaystyle \int_0^3 f(x) \, dx \approx \sum_{i=1}^3 f(\ell_i) \Delta x \\\\ ~~~~~~~~~~ = \sum_{i=1}^3 (i-1)^3 \\\\ ~~~~~~~~~~ = \sum_{i=0}^2 i^3 \\\\ ~~~~~~~~~~ = 0^3 + 1^3 + 2^3 = \boxed{9}$

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2 years ago

Lance used two gallons of paint to pain 785 square feet. How many gallons will he need to purchase to cover 2,500 square feet?

Digiron [165]

Answer:

7 gallon

Step-by-step explanation:

Divide the space that needs paints by how much space has been painted

2500/785 = 3.18

Then double that because it takes 2 gallons to paint every 785 square feet

3.18 x 2 = 6.36

You would need 6.36 gallons of paint, which would round up to 7 because you cannot buy 0.36 of a gallon

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3 years ago

What is the best way to estimate the quotient of 7,713 divided by 18

Effectus [21]

Answer:

Find the number which when divided by 35 gives the quotient 20 and remainder 18.

Step-by-step explanation:

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3 years ago

There are two similar right triangles. One has side lengths of 6, 8, and 10. The other has side lengths of 24, and 18. What is t

maxonik [38]

Answer:

30

Step-by-step explanation:

24/8 = 3

18/6= 3

10x3 = 30

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3 years ago