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Aneli [31]
3 years ago
12

A dilation is _____ to the original figure?

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
A dilation of a figure is the same figure but its either bigger or smaller

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What is the approximate volume of a cone with a height of 12 in and radius of 9 in ? Use 3 14 to approximate pi, and express you
Rama09 [41]

Answer:

1017.36

Step-by-step explanation: The formula for cone volume is 3.14(r^2)(h/3). Plug in all of your values to get the answer.

3 0
3 years ago
Find the equation for the parabola that has its vertex at the origin and has directrix at x=1/48
Oksana_A [137]

Answer:

The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is x= \frac{1}{12}\cdot y^{2}.

Step-by-step explanation:

As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:

x - h = 4\cdot p \cdot (y-k)^{2}

Where:

h, k - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.

p - Least distance of directrix with respect to vertex, dimensionless.

Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:

p = x_{D} - x_{V}

p = \frac{1}{48}-0

p = \frac{1}{48}

Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is x= \frac{1}{12}\cdot y^{2}.

6 0
3 years ago
An article in the Journal of Aircraft described a new equivalent plate analysis method formulation that is capable of modeling a
mezya [45]

Answer:

Given:

n = 15

c = 95% = 0.95

Let us assume:

α = 0.05

Determine the difference in value of each pair.

→See attached for the table←

→See attached for the for the workings←

Result

a) There is sufficient evidence to reject the claim that the two methods provide the same mean value for natural vibration frequency.

b) (-10.9646, -0.0068)

3 0
3 years ago
Billy is 3 feet 6 inches tall. Billy’s stuffed bear is 14 inches tall. What is the ratio of Billy’s height to the height of his
shusha [124]

Answer:

42:14

Step-by-step explanation:

3x12=36 in

36+6=42 in

4 0
3 years ago
Read 2 more answers
There are 6 children at a birthday party. Each child gets 2 1/3 cups of fruit punch. How many cups of fruit punch are needed for
fredd [130]
14 cups. 2.33 (2 1/3 in decimal form) multiplied by 6 (the number of children) equals 13.98 (round to 14)

3 0
2 years ago
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