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krok68 [10]
2 years ago
15

What are two different ways you could find the value of a? Explain these methods. A right triangle is shown. An altitude is draw

n from the right angle to the opposite side to form 2 line segments with lengths 9 and 16. The length of the other 2 sides are 15 and a.
Mathematics
2 answers:
Yuliya22 [10]2 years ago
3 0

Answer: You could use the Pythagorean theorem, since you know the length of the hypotenuse is 9 + 16 = 25 units and the length of one leg is 15 units. To find the value of a, use the relationship that the the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. You could also use the geometric mean (leg) theorem, which states that the length of the hypotenuse is to the length of an adjacent leg as that adjacent leg length is to the length of its corresponding segment in the hypotenuse. So you could write and solve the proportion 25/a = a/6.

Step-by-step explanation:

trapecia [35]2 years ago
3 0

Answer:

You could use the Pythagorean theorem, since you know the length of the hypotenuse is 9 + 16 = 25 units and the length of one leg is 15 units. To find the value of a, use the relationship that the the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. You could also use the geometric mean (leg) theorem, which states that the length of the hypotenuse is to the length of an adjacent leg as that adjacent leg length is to the length of its corresponding segment in the hypotenuse. So you could write and solve the proportion 25/a = a/16.

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How do you solve m=10x-x for x
cricket20 [7]
<span>m=10x-x for x
first subtract x from 10x

m=9x
divide both sides by 9

m/9=x

x=m/9</span>
3 0
2 years ago
A production system has a total daily output of 400 units and a total labor of 350 hours, what kind of productivity measure can
fomenos

Answer:

1.14 products per hour of labor

Step-by-step explanation:

To calculate the daily productivity would be the amount of products per hour of labor.

That is: 400 products / 350 hours of labor, and that is approximately 1.14 products per hour of labor.

Which means that for every hour of labor, 1.14 products are produced in one day, which would be a factor of productivity.

4 0
2 years ago
What math skill would you use to create a cute bunny character for a new interactive pet video game? a. linear algebra c. decima
guapka [62]

B. 3-D solids.

3-D solids can be used to create characters.

6 0
2 years ago
Read 2 more answers
An artist cuts 4 squares with sides of length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She be
ehidna [41]

Answer:

V = 216x - 60x^2 + 4x^3

Step-by-step explanation:

The volume V of the fountain is equal to:

V = L*W*h

Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain

We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:

L = 18 - 2x

W = 12 - 2x

So, replacing L, W and h on the equation of the volume, we get:

V = (18-2x)*(12-2x)*x

Finally, simplifying the function we get:

V = ((18*12)+(18*(-2x))+(-2x*12)+((-2x)*(-2x)))*x

V = (216-36x-24x+4x^2)*x\\V = (216-60x+4x^2)*x\\V = 216x - 60x^2 + 4x^3

6 0
2 years ago
A certain company's main source is a mobile app. The function h models the company's annual profit (in million of dollars) as a
cricket20 [7]

Answer:

At price 3 and 11, the profit will be $0

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

<em> A certain companies main source of income is a mobile app. The companies annual profit (in millions of dollars) as a function of the app’s price (in dollars) is modeled by P(x)=-2(x-3)(x-11) which app prices will result in $0 annual profit?</em>

My answer:

Given:

  • x is the app price
  • P(x) is the profit earned

If we want to find out the app price that will result in $0 annual profit? It means we need to set the function:

P(x)=-2(x-3)(x-11) = 0

<=> (x-3)(x-11)= 0

<=> x - 3 = 0 or x - 11=0

<=> x = 3 or x = 11

So at price 3 and 11, the profit will be $0

Hope it will find you well.

5 0
2 years ago
Read 2 more answers
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