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Dmitry [639]
1 year ago
12

The box is 450 square. The length is 10 inches and the width is 5 inches. What is the height of the box

Mathematics
1 answer:
natali 33 [55]1 year ago
6 0

Answer:

9 inches

Step-by-step explanation:

I assume you mean the volume of the box is 450.

In that case, to figure out for the volume we multiply 10 by 5. This gives us 50.

450/50=9

The height of the box is 9 inches

Give brainliest please!

hope this helps :)

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









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2 years ago
G(t)=(t+1) ^2-20.25 what are the zeros of the function
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Step-by-step explanation:

g(t) = (t + 1)² − 20.25

0 = (t + 1)² − 20.25

20.25 = (t + 1)²

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t = -1 ± 4.5

t = -5.5 or 3.5

The zeros are (-5.5, 0) and (3.5, 0).

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Answer:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
Please help!!!!!!!!!!
topjm [15]
Ah yes, good ol’ Pythagorean’s theorem.

The hypotenuse is the opposite of the 90 degree angle, the longest side of the triangle.

The legs are opposite of the acute angles

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2:

Let’s plug in some values

(6)^2 + (3)^2 = c^2

C = 6.7

The side will be 6.7 units

3)

Let’s plug in some values

(13.3)^2 = (9.7)^2 + (b)^2

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2 years ago
Some students were asked what kinds of animals they have at home.
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(a) Animals by popularity; Dogs, Cats, Others, Horses.

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Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;

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2. Cats - 20%

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Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.

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So 20 students had other pets.

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20% × x = 75, 0.2 × x = 75,

x = \frac{75}{0.2} = 375.

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