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3 years ago

In the figure below, what is the length of AD?

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Find the inside angle B of the smaller triangle using the base (4) and height (6)
smaller part of B = arctan(4/6) = 33.69 degrees
full B = 90 degrees - smaller B gives you the other part of B for the left hand side

so 90 - 33.69 = 56.31

now AD = 6 x tan(56.31) = 9 feet
answer is G

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Inverse of f(x)=3x-4

aniked [119]

Answer:

$\large\boxed{f^{-1}(x)=\dfrac{x+4}{3}=\dfrac{1}{3}x+\dfrac{4}{3}}$

Step-by-step explanation:

$f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=\dfrac{x+4}{3}$

8 0

3 years ago

A Crayon is shown here.

Aleks04 [339]

The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A Crayon is shown here.

There are 24 crayons in a box.

The approximate total volume of the crayons will be

Total Volume of crayons = 24 × volume of the single crayon

The crayon is the combination of the cone and the cylinder

Then the volume of the single crayon (V₁) will be

$\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times r^2 \times h \right ) + \left ( \pi \times r^2 \times h \right )\\\\\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times 1.5^2 \times 2 \right ) + \left ( \pi \times 1.5^2 \times 12 \right )\\\\V_1 = 4.712 + 84.82\\\\V_1 = 89.535 \approx 89.5$

Then the Total volume will be

Total volume = 24 × 89.5

Total volume = 2148 cm³

More about the geometry link is given below.

brainly.com/question/7558603

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3 0

2 years ago

Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

34kurt

Answer:

Option D. $y=\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

$y=x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=0+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

$y=1-\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=1-\frac{1}{3}(0)=1$

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

$y=3x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=3(0)+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

$y=\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=\frac{1}{3}(0)=0$

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0

3 years ago

The volume of a cylinder is the 48 ft the area of the base is 12 ft. what is the height of the cylinder

monitta

4 ft is the height of the cylinder

MESSAGE ME OR COMMENT IF YOU WOULD LIKE A MORE IN DEPTH EXPLANATION

8 0

3 years ago

The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,425.

snow_lady [41]

A suitable probability app shows the 1st percentile to be at about 11040 pages.

_____

The app shown has an error in the first decimal digit. The number is closer to 11040.82301. We expect the manufacturer would round to the nearest 10 or 50 or 100 in advertising.

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3 years ago