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3 years ago

8

A cone-shape mountain of garden soil is dumped on a flat surface. If the diameter of the mountain is 12 cm and its volume is 480

0 cm3 , how high is the mountain?

2 answers:

Alex3 years ago

5 0

Answer:

h = (4800 * 3)/(pi * 6^2) = 127.3

sukhopar [10]3 years ago

4 0

Answer:

Step-by-step explanation:

400cm

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A squared minus 1/4 is 0. solve for a

Ludmilka [50]

Answer:

a=1/2

Step-by-step explanation:

first we need to isolate a squared. so we add 1/4 to both sides

then you take the square root of a square to get 1/2

to check, 1/2 * 1/2 = 1/4

1/4-1/4 = 0

8 0

3 years ago

Please Help knoe timed and will give thanks and brianlesst

defon

Answer:

Step-by-step explanation:

To get the answer just use the numbers from the table which you have stated and you are right, you do get a long decimal.

5.69*10^26 / 6.42 * 10^23 = 886.29

which rounds to 886

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3 years ago

If y varies directly as x, and y =15 as x= -3, find y for the x-value of 6.

VMariaS [17]

Answer:

the answer is -30.

Step-by-step explanation:

for each x-value, you will multiply it by -5 to get your y-value. i say this because if y-15 when x=-3, if you divide the x from y (so 15/-3) you get -5 which is the number in which y varies by. so you will take 6 and multiply it by -5 which gives you -30.

8 0

3 years ago

Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

7 0

3 years ago

Read 2 more answers

A club sold $555 worth of

anastassius [24]

Answer:

111

Step-by-step explanation:

$555 ÷ $5 = 111

sorry I'm not good at explaining

6 0

3 years ago

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