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julia-pushkina [17]

3 years ago

10

A cylindrical potato chip container has a diameter of 3.5 inches and a height of 12 inches what is the volume of the chip contai

ner

1 answer:

kondor19780726 [428]3 years ago

8 0

Volume of a cylinder is $V= \pi r^{2} h$ .

$V= \pi*1.75^{2} * 12$

V=115.45 approximation.

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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

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

4 0

2 years ago

Triangle ABC is such that AB = 3cm , BC = 4cm , angle ABC = 120 and BAC = theta : Write down in terms of theta , and expression

lakkis [162]

1)inside the triangule is 180º .There are 3 angules, one with 120º, theta and
angle ACB, lets call it x.

x + theta + 120 = 180
x + theta= 180-120
x + theta= 60
x= 60- theta
angle ACB= 60- theta

8 0

3 years ago

Graph of f(x) = 100(0.7)x

Lana71 [14]

Answer:

pay attention in class :)

Step-by-step explanation:

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3 years ago

Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3

alina1380 [7]

Answer:

He has 26 students

Step-by-step explanation:

78/3=26

4 0

2 years ago

What is 24 divided by 4

LenKa [72]

The answer is 6
6x4=24

3 0

2 years ago

Read 2 more answers