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2 years ago

Ents

Mathematics

1 answer:

Natali5045456 [20]2 years ago

5 0

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y

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3 years ago

Read 2 more answers

What is the length of YZ?

Bogdan [553]

Answer: C

Hello,

Step-by-step explanation:

WZ=7-3=4

YW²=XW*WZ=3*4=12 ==> WY=2√3

In the right triangle YWZ, using the Pythagorean's theorem:

YZ²=WY²+WZ²=12+4²=28

YZ=2√7≅5.29150....

Answer C

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3 years ago

There are eight members of a jazz club who are listed below. A concert director can choose some or all of them to be part of a l

bagirrra123 [75]

Answer:

40320 ways

Step-by-step explanation:

Given

Members = 8

Required

Number of ways they can be selected

Since, the order does not matter;

They can be selected in 8! ways

$8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1$

$8! = 40320\ ways$

Hence, there are 40320 ways which the director can select them for the concert

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3 years ago

While standing on top of a hill at a ski resort, Alexa Latour spots the ski lodge below. If the vertical height of the hill is 1

alexira [117]

Answer: The distance to the lodge is 1514 ft

Step-by-step explanation: Please refer to the diagram attached.

The point where Alexa is standing at the top of the hill is marked as point A. The vertical height of the hill is from point A to point B which has been given as 1209 ft. Also, when Alexa looks down, she does that at an angle of depression measuring 53 degrees. Therefore while looking at the lodge, she forms an angle between her line of sight and the height of the hill. That angle is calculated as 90 degrees minus 53 degrees and that equals 37 degrees (as shown in the diagram). Note that her line of sight is AC since the ski lodge is at point C. Therefore the distance she must ski in order to get to point C (which shall be represented by X) shall be calculated using trigonometric ratios.

Note that we have a reference angle which is 37. We also have an adjacent which is 1209 (the side that lies between the reference angle and the right angle). And then we want to calculate the hypotenuse, yet unknown, (which is the side facing right angle). Since we have an adjacent, a hypotenuse and the reference angle, X can be calculated as

Cos A = Adjacent/Hypotenuse

Cos A = AB/AC

Cos 37 = 1209/X

By cross multiplication we now have X = 1209/Cos 37

By using our calculator or checking the table of values, Cos 37 = 0.7986

X = 1209/0.7986

X = 1513.899

Approximated to the nearest feet,

X = 1514 ft

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3 years ago

Twelve more then the product of 5 and a number x? x is 2

yaroslaw [1]

Answer:

Step-by-step explanation:

5 * 2 = 10

10 + 12 (because 12 more)

=22

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3 years ago