All categories

4 years ago

Someone please solve this and give your answer as a fraction in lowest terms.

Mathematics

1 answer:

brilliants [131]4 years ago

4 0

Ratio of the area would be (1/2)^2 which equals 1/4

You might be interested in

Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches abov

gtnhenbr [62]

Answer:

The width of the spotlight is 20 inches

Step-by-step explanation:

The location of the bulb = 2.5 inches above the vertex

The height of the spotlight = 10 inches

The width of the spotlight =

The

The height of

The equation of a parabola is given as follows;

(x - h)² = 4p(y - k)

Focus, (h, k + p) = (0, 2.5)

y = k - p

k + p = 2.5

Vertex = (h, k) = (0, 0), therefore, k = 0

p = 2.5

We have;

(x - 0)² = 4p(y - 0)

x² = 4×2.5 × y = 10·y

Therefore, given that y = 10, we have;

x² = 10 × 10 = 100

x = √100 = ±10

The coordinates of the two end points are;

(-10, 10), and (10, 10)

Therefore, the width of the spotlight = the distance between the end points

Given that the y-values are the same, we have

Distance = 10 - (-10) = 10 + 10 = 20 inches

∴ The width of the spotlight = 20 inches.

4 0

3 years ago

A shirt on sale for 25%off. Sandy paid 7.50 for the shirt. What was the shirts regular price

Gnesinka [82]

£10

Step-by-step explanation:

firstly what you have to do is

since the percentage is decreased

we will say 100 - 25% = 75%

then we say 7.50/75% = 10

So we know that the original price was

£10 pounds

As 10- 25%= 7.5

4 0

2 years ago

The ages of the students in a statistics class are listed below. If the 18 year old student has a birthday and turns 19, how wil

KATRIN_1 [288]

Answer:

Step-by-step explanation:

6 0

3 years ago

4. A college student takes out a $7,500 loan from a bank. What will the balance of the

Nata [24]

The answer for this one will be b

6 0

3 years ago

Ten times a number increased by 150

timama [110]

Hey there!

"A number" is referred to an unknown number so we can say it is labled as

$x$

"Increased" means you're going up/ adding

ten = 10

150 stays the same

"Ten times a number" =

$\bf{10x}$

"Increased by 150" =

$\bf{ + 150}$

Thus your answer should look like this:

$\bf{10x + 150}$

Good luck on your assignment and enjoy your day!

$\frak{loveyourselffirst }$

3 0

3 years ago