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2 years ago

a 20 inch rod fits perfectly in a box 15 inches tall what is the measurment of x in the diagram round to the nearest tenth

Mathematics

1 answer:

tresset_1 [31]2 years ago

3 0

The 20-inch rod forms a right triangle with the 15 inches tall box

The value of x in the diagram is 13.2 inches

<h3>How to determine the value of x</h3>

To calculate the value of x, we make use of the following Pythagoras theorem

$20^2 = 15^2 + x^2$

Evaluate the exponents in the above equation

$400 = 225 + x^2$

Subtract 225 from both sides of the equation

$175 = x^2$

Take the square root of both sides

$x = 13.2$

Hence, the value of x in the diagram is 13.2 inches

Read more about Pythagoras theorem at:

brainly.com/question/654982

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17) The total cost to produce x units of paint is C(x) = (5x + 3)(7x + 4). Find the marginal

Bad White [126]

Answer:

17) MC(x) = 35 − 12/x²

18) R(x) = -0.05x² + 80x

Step-by-step explanation:

17) The marginal average cost function (MC) is the derivative of the average cost function (AC).

AC(x) = C(x) / x

MC(x) = d/dx AC(x)

First, find the average cost function:

AC(x) = C(x) / x

AC(x) = (5x + 3)(7x + 4) / x

AC(x) = (35x² + 41x + 12) / x

AC(x) = 35x + 41 + 12/x

Now find the marginal average cost function:

MC(x) = d/dx AC(x)

MC(x) = 35 − 12/x²

18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:

m = (40 − 50) / (800 − 600)

m = -0.05

Use point-slope form to find the equation of the line:

p(x) − 50 = -0.05 (x − 600)

p(x) − 50 = -0.05x + 30

p(x) = -0.05x + 80

The revenue is the product of price and demand:

R(x) = x p(x)

R(x) = x (-0.05x + 80)

R(x) = -0.05x² + 80x

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4 years ago

How do you do polygons on coordinate grids

densk [106]

Answer:

When you do polygons on a coordinate grid, you will have points and then you connect them to form any type of polygon. There must be a total of 3 or more coordinate points.

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4 years ago

Nicole is back at it again and wants to see, this time, if listening to classical music while taking a test affects test scores.

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Answer:

c,Describe and design a completely randomized design for Nicole's experiment

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3 years ago

The glass part of a window is 32 1/2 inches wide. Including the frame on the left and right sides, the total width is 42 inches.

Lisa [10]

The glass part of the frame is an illustration of fractions

The width of each side of the frame is 5 1/4 inches

<h3>How to determine the width of each side?</h3>

The given parameters are:

Total width = 42 inches
Glass part = 32 1/2 inches

Represent the width of each side with x.

So, we have:

Glass part + 2x = Total width

Substitute known values

31 1/2 + 2x = 42

Subtract 31 1/2 from both sides

2x = 10 1/2

Divide both sides by 2

x = 5 1/4

Hence, the width of each side of the frame is 5 1/4 inches

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2 years ago

Applying properties of Exponents In Exercise, use the properties of exponents to simplify the expression.

Nastasia [14]

Answer:

(a) $4^7$

(b) $7^6$

(d) $3^{4}$

Step-by-step explanation:

We need to simplify the given expressions.

(a)

Consider the given expression is

$(4^5)(4^2)$

Using the property of exponent, we get

$=4^{5+2}$ $[\because a^ma^n=a^{m+n}]$

$=4^7$

(b)

Consider the given expression is

$(7^2)^3$

Using the property of exponent, we get

$=7^{2\times 3}$ $[\because (a^m)^n=a^{mn}]$

$=7^6$

(c)

Consider the given expression is

$2^{-4}$

Using the property of exponent, we get

$=\dfrac{1}{2^{4}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$=\dfrac{1}{16}$

(d)

Consider the given expression is

$\dfrac{3^8}{3^4}$

Using the property of exponent, we get

$=3^{8-4}$ $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$=3^{4}$

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4 years ago