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2 years ago

In the image below, 10 is the long leg of the 30-60-90 triangle. True or false?

Mathematics

1 answer:

never [62]2 years ago

3 0

The measure of the angle between the hypotenuse and the short leg is 60° and we can conclude that the side with length 10 is not the long leg of the 30 - 60 - 90 right triangle. (Right choice: False)

<h3>Is the length of a known arm in a 30 - 60 - 90 right triangle the long arm?</h3>

In accordance with geometry, the length of the long arm of a 30 - 60 - 90 right triangle is √3 / 2 times the length of the hypotenuse, the length of the short arm is 1 / 2 times the length of the hypotenuse and the length of the long arm is √3 times the length of the arm.

Thus, the measure of the angle between the hypotenuse and the short leg is 60° and we can conclude that the side with length 10 is not the long leg of the 30 - 60 - 90 right triangle. (Right choice: False)

To learn more on right triangles: brainly.com/question/6322314

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You have one type of nut that sells for $4.50/lb and another type of nut that sells for $8.00/lb. You would like to have 28 lbs

-Dominant- [34]

Answer:

I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.

Step-by-step explanation:

Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:

8 x 0.95 + 4.5 x 0.05 = 7.825

8 x 0.94 + 4.5 x 0.06 = 7.79

0.94 x 28 = 26.32

26.4 x 8 + 1.6 x 4.5 = 218.4

218.4 / 28 = 7.8

Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.

7 0

3 years ago

Graph 24x+25=−6y+7 . (if you can please give me the coordinates)

dexar [7]

(-0.75,0)-(0,3) is the answer

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3 years ago

Make m the subject of the equation (a) 5(m + y) = 4(m - 3y)

castortr0y [4]

Answer:

m=(-5y-3y)

Step-by-step explanation:

5m+5y=4m-3y

5m-4m=-5y-3y

m(5-4)=-5y-3y

m=(-5y-3y)/1

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2 years ago

The output of a function or relation, or the set of y-values that a graph is defined for, is called the ___.

Andre45 [30]

Answer:

Range

Step-by-step explanation:

The range of a graph tells you all of the possible y-values for it.

There is also the domain, which tells you all of the possible x-values.

For example, if you have this relation, that only has these points:

(1, 2) (2, 4) (3, 6)

Then the range is {2, 4, 6}. This means the "y" can ONLY be the numbers stated here.

The domain would be {1, 2, 3}.

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4 years ago

What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

PtichkaEL [24]

Answer:

aₙ = 3n - 6

Step-by-step explanation:

Given sequence:

−3, 0,3,6,9,...

This is AP with:

The first tern a₁ = - 3
Common difference d = 3

The rule for the nth term of the sequence is:

aₙ = a₁ + (n - 1)d

Substitute values:

aₙ = -3 + (n - 1)(3) =
-3 + 3n - 3 =
3n - 6

3 0

3 years ago