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3 years ago

What is the height of a rectangle whose base is 40 inches and whose diagonal is 41 inches?

Mathematics

2 answers:

maw [93]3 years ago

8 0

Answer: 9 inches

Step-by-step explanation:

romanna [79]3 years ago

7 0

Answer:

You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.

Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.

so, 41 ^ 2 = 40 ^ 2 + h ^ 2

41 ^ 2 = 1681 40 ^ 2 = 1600 Therefore h ^2 must be equal to 81. This means that h = 9.

The height is 9 inches.

Step-by-step explanation:

mark me as brainliest pls :)

~Alex

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Which of the following purchases shows the LEAST expensive unit price?

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Step-by-step explanation:

9 apples for $4.23

Thats the answer

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3 years ago

Solve formula for B v= 1/3Bh

MaRussiya [10]

v = 1/3Bh

Divide both sides by h.

v/h = 1/3B

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3v/h = B

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2 years ago

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The cost formula for a company can be modeled by C = 38 x + 19100 where x represents the number of items made. A formula for the

ruslelena [56]

Answer: The company must sold 382 units to break even.

Step-by-step explanation:

Hi, there is no question asked, so I suppose that you need to find the number of items (x) to break even.

To answer this question we have to equal both sides of the equations:

Since costs equal its income:

C=R

So:

38x +19100= 88x

Solving for x

19100= 88x-38x

19100=50x

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The company must sold 382 units to break even.

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

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Solve for x. y=x-6 y=9 Simplify your answer as much as p

lukranit [14]

Step-by-step explanation:

$y + 6 = x \\ y = 9 \\ x = 9 + 6 \\ x = 15$

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3 years ago

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HI can you help me with this problem?The quantity demanded x for a certain brand of MP3 players is 300 units when the unit price

Vlad [161]

The demand equation is P = -0.05x + 105

STEP - BY - STEP EXPLANATION

What to find?

The demand equation.

The following information is used to solve the problem.

If (x₁ , y₁) and (x₂, y₂) are any dinstinct points on a line a non-vertical line L, then the equation of the line that has a slope(m) and passes through the point (x₁ , y₁) is given by the formula below:

$y-y_1=_{}\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Assume p, be the unit price and x be the demand when the price is $p.

From the question given, when the unit price x = 300 units, the demand p = $90 and when the unit price x = 1300 units, the demand p = $40

This means the demand curve passes through the points (300, 90) and (1300, 40).

Assume the demand equation is linear, then the line of the equation passes through the points (300, 90) and (1300, 40).

Now;

y=p x₁ =300 y₁ = 90 x₂ = 1300 y₂=40

Substitute the values into the function and simplify.

$p-90=\frac{40-90}{1300-300}(x-300)$

Simplify the above.

$p-90=\frac{-50}{1000}(x-300)$ $p-90=-0.05(x-300)$

Open the parenthesis.

P- 90 = -0.05x + 15

Add 90 to both-side of the equation.

P = -0.05x + 15 + 90

P = -0.05x + 105

Hence, the demand function is P = -0.05x + 105

6 0

1 year ago