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just olya [345]
3 years ago
9

A sculptor has a large cube of granite that measures 4 feet on each side. What is the volume of this cube ? What is the volume o

f the largest sphere that can be carved from this cube of granite?
Mathematics
1 answer:
Gala2k [10]3 years ago
4 0
I know the answer to the first question is 4 • 4 • 4, length x width x height, 64ft3

But I am not sure for the second question
Hope I helped
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Use this data in the problem below. Follow the steps carefully. Round to the nearest tenth. Lot 1: Week 1: 600 Week 2: 300 Week
Dafna11 [192]

Answer:

Step-by-step explanation:

The given data set is:

Week 1: 600

Week 2: 300

Week 3: 500

Week 4: 900

The following are the steps to find the standard deviation:

Step 1. Jim enters the data and calculates the average or mean.

Mean=\frac{600+300+500+900}{4}=\frac{2300}{4}=575

Step 2. Jim calculates the deviation from the mean by subtracting the mean from each value.

Data value (x)                                                             x-{\overline{x}}

600                                                                           25

300                                                                         -275

500                                                                         -75

900                                                                          325

Step 3. Jim squares each deviation to remove negative signs.

Data value (x)                                                           (x-{\overline{x}})^2

600                                                                       625

300                                                                    75625

500                                                                      5625

900                                                                   105625

Step 4. Jim sums the squares of each deviation and divides by the count for the variance.

Variance=\frac{625+75625+5625+105625}{4}=46875

Step 5.Jim takes the square root of the variance to find the standard deviation.

Standard deviation=\sqrt{46875}=216.50

4 0
3 years ago
Read 2 more answers
Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3
guapka [62]

Answer:

b

Step-by-step explanation:

Use synthetic division and the Remainder Theorem to find P(a). P(x) = 2x3 + 4x2 − 10x − 9; a = 3

2

59

51

3

8 0
3 years ago
JWHVDJVdqwycwykcdlucdlwwdy
balu736 [363]

Answer:

Step-by-step explanation:

B  

its B

5 0
3 years ago
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Solve for x. Round all answers to the nearest tenth.<br> 9<br> X<br> 12
maria [59]

Step-by-step explanation:

x=54

use pyth then the other line = 15

then 15÷90 = 9÷x

then x = 54

8 0
3 years ago
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I don’t really get this question so if anyone knows it please help
Mars2501 [29]

Answer:

116.82\:\text{square inches}

Step-by-step explanation:

The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is 10^2=100\:\mathrm{in^2}.

The area of a triangle is given by \frac{1}{2}\cdot b\cdot h. Since the problem states that the overlapping squares are congruent, both legs of the triangle will be 2.9 and intersect at a 90^{\circ} angle.

Thus, the sum of all four triangles is \frac{1}{2}\cdot 2.9\cdot 2.9\cdot 4=16.82\:\mathrm{in^2}.

Therefore, the area of the window is:

100+16.82=\boxed{116.82\:\mathrm{in^2}}

3 0
3 years ago
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