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scoundrel [369]
2 years ago
6

Give the volume and surface area of the sphere shown

Mathematics
1 answer:
leonid [27]2 years ago
4 0

Answer:

V≈3053.63

A≈1017.88

Step-by-step explanation:

V=\frac{4}{3}π r^{3}=\frac{4}{3}·π·9^{3} ≈3053.62806

A=4πr^{2}=4·π·9^{2} ≈1017.87602

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An Aquarium’s dimensions are 3 1/4 ft x 2 ft x 1 3/4. What is the volume of the Aquarium?
kiruha [24]

Volume = length x width x height

Volume = 3 1/4 x 2 x 1 3/4 = 11 3/8 cubic feet

3 0
3 years ago
Read 2 more answers
A laboratory scale is known to have a standard deviation of Ï = 0.001 gram in repeated weighings. Scale readings in repeated wei
erica [24]

Answer:

the confidence interval for the true weight of the specimen is;

4.1593 ≤ μ ≤ 4.1611

Step-by-step explanation:

We are given;

Standard deviation; σ = 0.001

Sample size; n = 8

Average weight; x¯ = 4.1602

We are given a 99% confidence interval and the z-value at this interval is 2.576

Formula for confidence interval is;

CI = x¯ ± (zσ/√n)

Plugging in the relevant values, we have;

CI = 4.1602 ± (2.576 × 0.001/√8)

CI = 4.1602 ± 0.000911

CI = (4.1602 - 0.000911), (4.1602 + 0.000911)

CI ≈ (4.1593, 4.1611)

Thus, the confidence interval for the true weight will be expressed as;

4.1593 ≤ μ ≤ 4.1611

Where μ represents the true weight

4 0
3 years ago
In ΔDEF, EF = 15, FD = 13, and DE = 4. Which list has the angles of ΔDEF in order from smallest to largest?
Rudik [331]

Answer:

< F , < E, < D

Step-by-step explanation:

ΔDEF

Arrange the sides from smallest to largest

DE = 4, FD = 13, and EF = 15.

Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes  the smallest angle.

the angles of ΔDEF in order from smallest to largest

< F , < E, < D

7 0
2 years ago
The charge to rent a trailer is ​$2525 for up to 2 hours plus ​$99 per additional hour or portion of an hour. Find the cost to r
Ksju [112]

The question is not written properly! Complete question along with answer and step by step explanation is provided below.

Question:

The charge to rent a trailer is ​$25 for up to 2 hours plus ​$9 per additional hour or portion of an hour.

Find the cost to rent a trailer for 2.8 ​hours, 3 ​hours, and 8.7 hours.

Then graph all ordered​ pairs, (hours,​ cost), for the function.

Answer:

ordered pair = (2.8, 34)

ordered pair = (3, 34)

ordered pair = (8.7, 88)

Step-by-step explanation:

Charge for 2.8 ​hours:

$25 for 2 hours

$9 for 0.8 hour

Total = $25 + $9

Total = $34

ordered pair = (2.8, 34)

Charge for 3 ​hours:

$25 for 2 hours

$9 for 1 hour

Total = $25 + $9

Total = $34

ordered pair = (3, 34)

Charge for 8.7 ​hours:

$25 for 2 hours

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 0.7 hour

Total = $25 + $9 + $9 + $9 + $9 + $9 + $9 + $9

Total = $88

ordered pair = (8.7, 88)

The obtained ordered pairs are graphed, please refer to the attached graph.

4 0
3 years ago
The perimeter of a rectangular field is 278 m. If the width of the field is 61 m, what is its length?
nataly862011 [7]

Answer:

length is 78

Step-by-step explanation:

Perimeter of rectangle is P = 2 (l +w)

278 = 2(l + 61)

l = 78

3 0
3 years ago
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