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Mandarinka [93]
3 years ago
8

Click on the words to go to the picture

Mathematics
1 answer:
balu736 [363]3 years ago
3 0
B) 196 cubic cm or something like that... First you multiply 7x5x14=490... then you divide 490/5 because you're working in fifths and get 98... the white is only two-fifths so you multiply 98 times 2 and get 196
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Find the equation of a parabola with a focus at (0,-1) and a directrix at y = 4.
Anastasy [175]

Answer:

  y = -1/10x^2 +2.5

Step-by-step explanation:

The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:

  -1 -4 = -5

So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).

The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...

  y = (1/(4p))(x -h) +k

  y = -1/10x^2 +2.5

_____

You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.

5 0
3 years ago
The radius of a circle is 4 m. Find its area in terms of <br> π<br> π.
wlad13 [49]

Answer:

16π

Step-by-step explanation:

Given:

\text{Radius of circle}: 4 \ \text{m}

<u>Formula:</u>

\text{Area of circle} = \pi r^{2}

Replace the radius in the formula:

\implies \text{Area of circle} = \pi (4)^{2}

Evaluate the area:

\implies \text{Area of circle} = \pi (4)(4)

\implies \text{Area of circle} = 16\pi

Since the question says to determine the area in terms of π, the final answer is 16π.

8 0
2 years ago
Help me with my test
pychu [463]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Type The missing number that makes these fractions equal: 4/?=2/8
natka813 [3]

Answer:

16

Step-by-step explanation:

2/8 is = to 1/4

4/16 is = to 1/4

GIVE ME BRAINLIESTTTTT

4 0
2 years ago
How can you divide the pitchers into equal groups? Is there more than one way? Use your results to describe the entire collectio
mina [271]
Mind sharing the information needed to answer the question? Thanks!
6 0
3 years ago
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