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3 years ago

Can someone help me I don't understand

Mathematics

2 answers:

Andreyy893 years ago

4 0

Answer:

79.605

Step-by-step explanation:

sin 31° = 41/x

x = 41/sin 31°

x = 79.605

swat323 years ago

3 0

I think the answer is 79.605

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a cylinder has a diameter of 14 centimeters and a volume of 112pi cubic centimeters. what is the height, in centimeters, of the

OverLord2011 [107]

Formula for volume of a cylinder is
$v = \pi r^{2} h$

where r is the radius and h is the height

We can set v equal to 112π as we are given that.
We can set r to 7 as we are given the diameter, 14, and the radius is half of that.

$112 \pi= \pi 7^{2} h$

Simplify this equation,
$112 \pi = \pi *49*h$

Our goal is to to isolate h, as we are trying to find the height.
So divide 49π on both sides, $\frac{112 \pi }{49 \pi } = h$

The π's cancel out and we are left with
$h = \frac{112}{49}$ or 16/7 centimeters.

Hope this helped! :)

4 0

3 years ago

Write the equation for a parabola with a focus at (1,-4)(1,−4)left parenthesis, 1, comma, minus, 4, right parenthesis and a dire

lutik1710 [3]

Answer:

x = 3/2 - ((y + 4)²)/2

Step-by-step explanation:

The coordinates of the focus of the parabola = (1, -4)

The directrix of the parabola is the line, x = 2 (parallel to the y-axis)

The general form of a parabola having a directrix parallel to the y-axis is presented as follows;

(y - k)² = 4·p·(x - h)

The coordinates of the focus = (h + p, k)

The line representing the directrix is x = h - p

Therefore, by comparison, we have;

(1, -4) = (h + p, k)

k = -4

h + p = 1

∴ p = 1 - h

From the directrix, we have;

2 = h - p

∴ 2 = h - (1 - h) = 2·h - 1

2·h = 2 + 1

h = 3/2

p = 1 - h

∴ p = 1 - 3/2 = -1/2

p = -1/2

By substitution of the values of k, p, and h, in the general equation of the parabola, (y - k)² = 4·p·(x - h), we get;

(y - k)² = 4·p·(x - h) = (y - (-4))² = 4·(-1/2)·(x - (3/2)) = (y + 4)² = -2·(x - 3/2)

The equation of the parabola in vertex form is therefore;

x = (-1/2)·(y + 4)² + 3/2 = 3/2 - (y + 4)²/2

6 0

3 years ago

A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance t

slavikrds [6]

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

$5000 = a + b \\ 153800 = 26a + 40b$

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

$5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)$

5 0

3 years ago

If u(x) = x^5 - x^4 + x^2 and v(x) = -x^2, which expression is equivalent to (u/v)(x)

Alchen [17]

$\dfrac{u(x)}{v(x)}=\dfrac{x^5-x^4+x^2}{-x^2}=\dfrac{x^5}{-x^2}-\dfrac{x^4}{-x^2}+\dfrac{x^2}{-x^2}\\\\=-x^3+x^2-1$

The appropriate choice is ...
C) -x^3 + x^2 - 1

3 0

3 years ago

The figure is made up of a hemisphere and a cylinder. What is the volume of the figure?

jeka94

890.11753 m^3. get the volume of a hemisphere then add that to the volume of a cylinder.

7 0

3 years ago