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netineya [11]
2 years ago
10

What is the volume of a sphere with a radius of 7 cm? Sphere V = 4 3 πr3 1. Substitute the radius into the formula:    V = 4 3 π

(73) 2. Evaluate the power:           V = 4 3 π(343) 3. Simplify: V = cm3
Mathematics
2 answers:
netineya [11]2 years ago
4 0

Answer:

1436.75504 or 1372/3π cm^3

Step-by-step explanation:

The volume of a sphere can be found using:

V = 4/3 πr^3

We know the radius is 7, so we can substitute 7 in for r

V = 4/3 π7^3

Evaluate the exponent

V = 4/3 π 343

If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.

v= (4/3*343)π

v=1372/3π

If we want an exact answer, multiply 1372/3 and pi

v=1436.75504

So, the volume is 1436.75504 or 1372/3 π cm^3

lakkis [162]2 years ago
3 0

Answer: the correct answer is 1372/3

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a traveling salesman drives his car 30000 miles a year. His car travels 16 miles to the gallon of gas. How many gallons of gas d
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Answer:

187.5 gallons

Step-by-step explanation:

Make a proportion

\frac{16 miles}{1 gallon} = \frac{3000 miles}{x}

3000/16 = 187.5, so multiply 1 by 187.5 to find the gallons used in a year

This gets you 187.5 gallons used in a year

4 0
2 years ago
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Side AB of square ABCD is parallel to the Y axis and the perimeter of ABCD is 36. If the coordinates of point B is (5,17) . What
Zarrin [17]
<h3>Answer: (C) (14,8)</h3>

============================================

Explanation:

The perimeter of the square is 36, so each side length is 36/4 = 9 units.

Point B is located at (5,17). We move down 9 units to get to (5,8), which is the location of point A. Then we move 9 units to the right to arrive at (14,8) which is point D's location.

Or we could go from B = (5,17) to C = (14,17) and then to D = (14,8). Each time we move 9 units.

8 0
2 years ago
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al
dezoksy [38]

Answer:

Step-by-step explanation:

Hello!

A systematic sample is a sampling type where, the population units are listed in a certain order, the first unit is randomly chosen from the first k number of units and then the subsequent units are selected in intervals of k. To calculate k, in case you know the population size, you have to divide the population size by the sample size (usually established based on previous information. Remember k is always a whole number.

a) k= pob/n= 4247/40= 106.175 ≅ 106

b) From the 106 individuals you have to randomly select the first unit. Then starting from it the next 39 individuals surveyed will be the +k

Using a random number calculator I've chosen the first individual to be surveyed as number 57 after that you have to add k= 106 to know wich are the next individuals to be sampled:

1) 57                          11) 1117        21) 2177       31) 3237

2) 57 + 106= 163      12) 1223      22) 2283    32) 3343

3) 269                      13) 1329      23) 2389     33) 3449

4) 375                       14) 1435      24) 2495     34) 3555

5) 481                        15) 1541       25) 2601     35) 3661

6) 587                       16) 1647      26) 2707     36) 3767

7) 693                       17) 1753       27) 2813      37) 3873

8) 799                       18) 1859       28) 2919     38) 3979

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3 0
2 years ago
Write an expression that shows how to multiply 7 x 256 using expanded form and Distributive property.
Mashutka [201]
To multiply any number <span>using expanded form and Distributive property, we need two steps:
1. Write the greater factor in expanded form, and
2. Record partial products by using Distributive property.

Step 1.
</span><span>7 x 256  = 7 x (200 + 50 + 6)
</span>
Step 2. 
7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

Hence, the complete expression should look like:
7 x 256  = 7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6
6 0
2 years ago
in the figure p is the incenter of isosceles rst what type of triangle is rpt? Thank you in advance .
snow_lady [41]

Answer:

\Delta \text{RPT is an isosceles triangle}

Step-by-step explanation:

As in the triangle RST,

RS=ST\ \ \ \Rightarrow m\angle SRT=m\angle STR

Because if in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.

Incenter is obtained by the Intersection of a triangle's three angle bisectors and it is equidistant from the three sides of the triangle.

So, RP and TP are the angle bisectors of ∠R and ∠T respectively.

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\Rightarrow m\angle PRT=m\angle PTR

\Rightarrow PR=PT

\Rightarrow \Delta \text{RPT is an isosceles triangle}

7 0
2 years ago
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