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Elena L [17]
3 years ago
5

The polygons are similar. find the value of X

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0
It should be 11. Consider the side that is 6 is 4 less than the side that is 10. Therefore the side that is x must be 4 less than 15. So it’s 11.
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A silo is in the shape of a cone. The silo is 7 meters tall, and its base has a radius of 1.5 meters. Rice costs 204$ per cubic
olganol [36]

Answer:

  $3364.65

Step-by-step explanation:

The volume of the cone is given by the formula ...

  V = (1/3)πr²h

Filling in the given numbers, we find the volume to be ...

  V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³

The cost of the rice will be the product of this volume and the price per cubic meter:

  cost = (16.49336 m³)($204/m³) = $3364.65

The cost of the rice necessary to fill the volume is $3364.65.

_____

<em>Comment on pi</em>

If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.

3 0
3 years ago
A certain bean plant grows 15% of its height each day today after 10 days the bean plant is 27 inches tall how tall was it yeste
frez [133]
Given:
15% of its height each day
27 inches on day 10.

How tall was it yesterday?

27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.

27 ÷ 115% = 23.48 inches.

The plant was 23.48 inches tall yesterday.

To check:
23.48 x 15% = 3.52 inches
23.48 + 3.52 = 27 inches

3 0
3 years ago
The orange shape is a dilation of the black shape
grigory [225]

Answer:

 1/4

Step-by-step explanation:

The orange shape is 3 units tall and 4 units wide. The black shape is 12 units tall and 16 units wide. The scale factor is ...

 orange/black = 3/12 = 4/16 = 1/4

<h2 />
7 0
3 years ago
The graph of y= - 1/2x+2 is positive over the interval (4, infinity) and negative over the interval (-infinity, 4) .What happens
vichka [17]

The graph of y=ax+b, where a≠0, is always a line:

i) increasing if a>0
ii) decreasing if a<0

Consider the decreasing case.

The line is above the x-axis, that is positive but decreasing. At 1 single point it cuts the x-axis, so x=0, and then it continues decreasing below the x-axis.


Back to our problem:

The graph of y=-1/2 x +2 is a decreasing line.,

so it CANNOT be
"positive over the interval (4, infinity) and negative over the interval (-infinity, 4)"

it is 

"<span>negative over the interval (4, infinity) and  positive over the interval (-infinity, 4)</span>"



the graph is "<span>positive over the interval (-infinity, 4)</span>", it means that the line is decreasing but above the x-axis until 4, (4 not included).

then, "negative over the interval (4, infinity)", which means that the line is now decreasing below the x-axis.

when x=4, the line cuts the x-axis.


check the graph of the line generated using desmos.com

3 0
3 years ago
If you spun the spinner 100 times, how many times do you predict that you would spin a number less than 5 on a spinner of 1-6
Roman55 [17]

Answer:

67 times

Step-by-step explanation:

Spinner's sample space = (1, 2, 3, 4, 5, 6)

Number less than 5 = (1, 2, 3, 4)

Total possible outcomes = 6

Required outcome = 4

P(number less than 5) = required outcome / Total possible outcomes

P(number less than 5) = 4 /6 = 2/3

Number of spins = 100

Predicted Number of times a number less than less than 5 is spurn in 100 spins :

100 * 2/3

= 66.666

= 67 times

8 0
3 years ago
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