The cross section of a parabolic sound reflector at the Olympics has a diameter of 20 inches and is 25 inches deep. Write an equation that represents the cross section of the reflector with its vertex at ( ) 0, 0 and its focus to the left of the vertex.

Answer:

Step-by-step explanation:

You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.

Left Side

(x + 3)^2 + (y - 4)^2 = r^2

Right Side.

x1 = - 3

x2 = 2

y1 = 4

y2 = 1

Use the distance formula to get r^2

r^2 = (x2 - x1)^2 + (y2 - y1)^2

r^2 = (2 - - 3)^2 + (1 - 4)^2

r^2 = 5^2 + (-3)^2

r^2 = 25 + 9

r^2 = 34

Answer

(x + 3)^2 + (y - 4)^2 = 34

Answer:

the variable

Step-by-step explanation:

m is the variable

Answer:

x = 30

Step-by-step explanation:

These angles are all supplementary (they all add up to 180) so:

x + 3x + 2x = 180

6x = 180

x = 30

Answer:

tan023

Step-by-step explanation:

mark me brainliest

Answer:

6 + 6 + 6 + 6= 24

Step-by-step explanation:

ad four sixes

Answer:

45°

Step-by-step explanation:

(180-90)/2 = 90/2 = 45°

The answer is 45°.

Step-by-step explanation:

Hey there!

Since it is an isoceles triangle two angles must be equal.

Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.

Then;

x+x+90° = 180° { Sum of interior angles of a triangle is 180°}

or, 2x + 90° = 180°

or, 2x= 180° - 90°

or, 2x = 90°

or, X= 90°/2

or, X=45°.

Therefore, the other angles are 45° and 45°.

Hope it helps!

Answer:

hehehehhehehehhehehhjwhihtIUWEhrhjbqHJWRBHUqbhubHUWbfigabvUHIfbAHUbfjnBsjrBUHsbUHQBrhjzbnxbkzhsbhbJHzdb

Step-by-step explanation:

Answer:

14 sq units

Step-by-step explanation:

2 units by 7 units is 14 square units

Answer:

54.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the sam's age be x

2x+5=3x-1

5+1=3x-2x

6=x

therefore sam's age is 6.

Answer:

6

Step-by-step explanation:

let age be = to x

2x + 5 = 3x - 1

-x = -6

x = 6

Answer:

y= (x-6) be sure to include the parenthesis or it will be incorrect

Step-by-step explanation:

Answer:

$44.98

Step-by-step explanation:

12.25 x 4 = 49

if her coupon is 15% off then she pays 85% of 49, which is 41.65

8% tax added to 41.65 is, 41.65 × .08 = 3.33

total cost is 41.65 + 3.33 = 44.98

Answer:

Convert in to cm and km to cm:

1cm=0.4in

5cm

Exactly one cm is 3.39 .. in so answer will come around 1.96 which is almost 2

#2

1cm=0.00001km

5cm

Answer:

[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]

Answer:

The simplest form of

90/100

is

9/10

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 90 and 100 is 10

Divide both the numerator and denominator by the GCD

90 ÷ 10

100 ÷ 10

Reduced fraction:

9

10

Therefore, 90/100 simplified to lowest terms is 9/10.

Answer:

{x}\lt\frac{{13}}{{2}}

Step-by-step explanation:

Answer:

x < 13/2

Step-by-step explanation:

4(x-3) -7: 4x - 19

4x - 19 < 2x-6

4x - 19 + 19 < 2x - 6 + 19

4x < 2x + 13

4x - 2x < 2x + 13 - 2x

2x < 13

2x/2 < 13/2

x < 13/2

Answer:

circumference is given by πd, where d is the diameter of the circle.

This implies, the circumference= 22/7*150m

=3300/7=471.429m

Answer:

The left side

182

does not equal to the right side

450

, which means that the given statement is false.

False

Step-by-step explanation:

mark as brainliest!!

Answer= 268

Reason:-

Let The Missing Number be x

x+308-126=450

x+182= 450

x=450-182

x=268

Answer:

2(23)+29

2(23)+29

=528

Step-by-step explanation:

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7

Answer:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.

Step-by-step explanation:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line  to match up with with the points on the opposite side

Answer:

The number of laps Tonya swam last week were:

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

Answer:

The factors of 27 are 1, 3, 9, and 27 (๑・ω-)～♥”

Answer:

The factor of 27 are: 1, 27, 3, 9

Step-by-step explanation:

Answer:

-8 or -5

Step-by-step explanation: