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3 years ago

An engineer is designing a storage compartment in a space craft. The compartment must be 3

Mathematics

1 answer:

Mrrafil [7]3 years ago

4 0

9514 1404 393

Answer:

D. 2 m

Step-by-step explanation:

You know the integer factors of 10 are 1, 2, 5, so a width of 2 m will satisfy the requirements. For a width of 2 m, the length is 2+3 = 5 m, and the depth is 2-1 = 1 m. The volume is ...

V = LWH = 5×2×1 = 10 . . . . cubic meters, as required

If you were to write an equation for this, it would be a cubic. Let x = width, then length is x+3 and depth is x-1. The volume is ...

V = (x+3)(x)(x-1)

we want that equal to 10.

In standard form, the equation becomes ...

x^3 +2x^2 -3x -10 = 0

According to the Rational Root Theorem, positive rational roots will be from the set {1, 2, 5, 10}, which are the integer divisors of 10.

You can try these values, or you can use a graphing calculator to find the solution. I find a graphing calculator to be quick and easy.

The width of the storage compartment is 2 meters.

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A spinner with 3 sectors is shown in the figure below. The measures of the central angles of the red, white, and blue sectors, i

RideAnS [48]

Given that a spinner with 3 sectors. The measures of the central angles of the red, white, and blue sectors, in that order, are in the ratio 2:3:4.

So we can write:

Measure of the central angle of the red sector = 2x

Measure of the central angle of the white sector = 3x

Measure of the central angle of the blue sector = 4x

We know that sum of central angle of the circle is 360 degree so the sum of above three angles will also be 360 degree

2x+3x+4x=360

9x=360

x=40

Then measure of the central angle of the red sector = 2x=2*40= 80 degree

Measure of the central angle of the white sector = 3x=3*40=120 degree

Measure of the central angle of the blue sector = 4x=4*40=160 degree

We have to find the probability for red sector so first we need to find are of the red sector which is given by formula :

$Area = \frac{\pi r^2 \theta}{360}$ , where r is the radius of the spinner.

$Area = \frac{\pi r^2 *80}{360}$

$Area = \frac{2 \pi r^2}{9}$

Area of the spinner is circular so that is given by

Area of spinner $= \pi r^2$

Now the probability that the arrow stops in the red sector is given by ratio or area of red sector and the area of spinner

Probability $= \frac{\frac{2}{9}\pi r^2}{\pi r^2}$

Probability $= \frac{\frac{2}{9}}{1}$

Probability $= \frac{2}{9}$

Hence required probability is 2/9.

5 0

4 years ago

Can someone pls help me I will give u brainliest if you do

bogdanovich [222]

Answer: 2x+2y = 100

Step-by-step explanation:

mark me brainlest

4 0

3 years ago

Read 2 more answers

A dress is on sale for d dollars. The regular price is 3 times as much.

dangina [55]

Answer:

Step-by-step explanation:

hope this helps, have a good day

3 0

3 years ago

Please define the following terms:

Natali5045456 [20]

Answer:

★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.

★ Import - when items are brought in from other countries.

★ Export - when items are sold from one country to another.

★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.

★ Legislature - a group of people coming together to legitimize decisions.

★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.

★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.

★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.

★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.

Step-by-step explanation:

Hope you have a great day ;-)

5 0

3 years ago

10 points and<br> easy. please help

olganol [36]

Answer:

The answer is D) No; Y doesn't vary directly with x.

Step-by-step explanation:

It isn't A because:

y=2x:

2(2)=4=y Not true, 2(4)=8=y Not true, 2(6)=12=y Not true

It isn't B:

y=5x

5(2)= 10=y True, 5(4)=20=y Not true, 5(6)=30=y Not true

It isn't C:

y=7x

7(2)=14=y Not true, 7(4)=28=y Not true, 7(6)=42=y Not true

8 0

3 years ago