All categories

3 years ago

Hank estimated the width of the door to his classroom in feet. What is a reasonable estimates ?

Mathematics

2 answers:

Vika [28.1K]3 years ago

7 0

I would try 2 feet, or around that number

ad-work [718]3 years ago

5 0

I know it's 3 1/2 foot.

You might be interested in

The united states is one of the few countries that does not fully use the metric system for measurement. true false

maksim [4K]

True and I guess it wants a longer answer so I'll say "true" again

5 0

3 years ago

Please look at the picture, I need help ASAP.

forsale [732]

See below for the proof that the areas of the lune and the isosceles triangle are equal

<h3>How to prove the areas?</h3>

The area of the isosceles triangle is:

$A_1 = \frac 12r^2\sin(\theta)$

Where r represents the radius.

From the figure, we have:

$\theta = 90$

So, the equation becomes

$A_1 = \frac 12r^2\sin(90)$

Evaluate

$A_1 = \frac 12r^2$

Next, we calculate the length (L) of the chord as follows:

$\sin(45) = \frac{\frac 12L}{r}$

Multiply both sides by r

$r\sin(45) = \frac 12L$

Multiply by 2

$L = 2r\sin(45)$

This gives

$L = 2r\times \frac{\sqrt 2}{2}$

$L = r\sqrt 2$

The area of the semicircle is then calculated as:

$A_2 = \frac 12 \pi (\frac{L}{2})^2$

This gives

$A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2$

Evaluate the square

$A_2 = \frac 12 \pi (\frac{2r^2}{4})$

Divide

$A_2 = \frac{\pi r^2}{4}$

Next, calculate the area of the chord using

$A_3 = \frac 12r^2(\theta - \sin(\theta))$

Recall that:

$\theta = 90$

Convert to radians

$\theta = \frac{\pi}{2}$

So, we have:

$A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))$

This gives

$A_3 = \frac 12r^2(\frac{\pi}{2} - 1)$

The area of the lune is then calculated as:

$A = A_2 - A_3$

This gives

$A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)$

Expand

$A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2$

Evaluate the difference

$A = \frac 12r^2$

Recall that the area of the isosceles triangle is

$A_1 = \frac 12r^2$

By comparison, we have:

$A = A_1 = \frac 12r^2$

This means that the areas of the lune and the isosceles triangle are equal

Read more about areas at:

brainly.com/question/27683633

#SPJ1

5 0

1 year ago

A cell divides through mitosis, creating two daughter cells. Which of the following is true about the daughter cells?

White raven [17]

Hello!

Your answer is A. The daughter cells are genetically identical to both each other and to the parent cell.

The parent cell makes two copies of its chromosomes and separates them, then divides by cytokinesis, creating two genetically identical daughter cells.

8 0

2 years ago

The Choi family wants to save money to travel the world. They purchase an annuity with a monthly payment of $65 that earns 4.5%

Lesechka [4]

Answer:

You can get an idea of how much guaranteed lifetime income a given amount of savings will buy by going to this annuity payment calculator. Today, for example, $100,000 would get a 65-year-old man about $525 a month in lifetime income, while that amount would generate roughly $490 a month for a 65-year-old woman.

8 0

3 years ago

Read 2 more answers

At a rental car company, a customers daily rental charge D (in dollars) for m miles driven is determined by the function D = 35

lianna [129]

Answer:

See below

Step-by-step explanation:

<u>Given function:</u>

D = 35 + 0.4m

m represents the domain and D represents the range of the function, therefore m = x, D = y

<u>Filling in the table:</u>

for x = 10, y = 35 + 0.4*10 = 35 + 4 = 39 and so on for the rest of the values

x = 10, 30, 50, 75, 100
y = 39, 47, 55, 65, 75

3 0

2 years ago