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sesenic [268]
3 years ago
13

What is the volume of a sphere with radius of 16 inches?

Mathematics
2 answers:
matrenka [14]3 years ago
8 0
Volume =
\frac{4}{3} \pi {r}^{3}  \\  =  \frac{4}{3}  \times 3.14 \times  {16}^{3}  \\  = 17148.59 \  {in}^{3}

The answer is the first option.

Hope this helps. - M
postnew [5]3 years ago
5 0
Hey there :)

We know the volume formula of a sphere is:
\frac{4}{3}\pi (radius)³

We are given the radius = 16 in
And asked to use 3.14 for \pi 

Apply the formula
V = \frac{4}{3} (3.14)(16)^3
   = \frac{4}{3} (3.14)(4096)
   = 17,148.58667
   ≈ 17,148.59 in³

Your answer will be the first option

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Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head
musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, BE = EC or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft

Therefore, the building is 32 feet tall.

5 0
2 years ago
Rob borrows $15.00 from his father, and then he borrows $3.00 more. Drag numbers to write an equation using negative integers to
Paul [167]

Answer:

Rob owes his father=-$15-$3= -$18

Step-by-step explanation:

Rob borrows $15 first and then $3.

Since we have to use negative integers, so

-$15-$3= -$18

4 0
2 years ago
Read 2 more answers
What is the mean of the data?
dmitriy555 [2]

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

5 0
2 years ago
Each equation represents a linear relationship. Examine each and determine the slope and y- intercept
marysya [2.9K]

Answer:

Slope is -3/7. Y intercept is 250/7.

Step-by-step explanation:

Since they asking for the slope and y intercept, let put it in slope intercept form.

y = mx + b

where m is the slope and b is the y intercept.

The equation given is in standard form so we will convert it to slope intercept.

3x + 7y = 250

7y = 250 - 3x

y =  \frac{250}{7}  -  \frac{3}{7} x

y =  -  \frac{3}{7} x +  \frac{250}{7}

The slope is -3/7

The y intercept is 250/7

6 0
2 years ago
1. If your final exam counts as 20% of your semester grade in a class, and you have an 88% going into the final, what percent mu
zysi [14]
.8 (88%)+.2x=90%
70.4%+.2x=90%

subtract 70.4% from 90% to get 19.6%
make the .2x into 2 and the 19.6 into 196
divide 196 by 2 to come up with the answer of 98%.
you will need a 98% to have a 90% for the final grade
4 0
3 years ago
Read 2 more answers
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