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3 years ago

WILL MARK WILL MARK BRAINLEST

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

d=10.0002

Step-by-step explanation:

Given That:

Height=h=28 inches

Volume=V=732.7 cubic inches

Required:

Diameter of the base of the cone=d=?

Solution:

the formula for the volume of a cone is

re-arranging the terms to get the radius (r)

putting values, we get

to find the diameter we know that diameter is double of the radius so

d=2r

d-2(2.0051)

d=10.0002

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An adventure company wants to run a zip line from the top of one building that is 95 feet tall to the top of another building th

Alex777 [14]

The difference of the length between the 2 buildings
D=L1-L2
D=95-55
D=40 feet
we use Pythagoras formula
D^2+X^2=Z^2
X=distance between buildings
Z=length of the zip line
Z=50 feet

7 0

3 years ago

Graph the line that represents a proportional relationship between Y And x where the unit rate of change of y with their respect

aksik [14]

Answer:

$y=\frac{3}{8}x$

The graph in the attached figure

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 $k=\frac{y}{x}$ 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

Remember that

The unit rate of change is the same as the slope

In this problem

$m=\frac{3}{8}$

The linear equation is equal to

$y=\frac{3}{8}x$

To graph the line we need two points

we have (0,0) because the line passes through the origin

Determine other point

assume a value of x and calculate the value of y

For x=8

$y=\frac{3}{8}(8)=3$

The other point is (8,3)

Plot the points and join them to draw the line

The graph in the attached figure

3 0

3 years ago

Anyone know how to factor 4x^2-4x-80?

andrezito [222]

(x-5)(4x+16) Is the answer
ASK ME IF YOU GOT A QUESTION, I'M GLAD TO HELP. ;)

8 0

4 years ago

1. Find the derivative of <img src="https://tex.z-dn.net/?f=f%28x%29%3D6%2Fx" id="TexFormula1" title="f(x)=6/x" alt="f(x)=6/x" a

Slav-nsk [51]

1) Answer: $-\frac{3}{2}$

<u>Step-by-step explanation:</u>

f(x) = 6x⁻¹

f'(x) = -6x⁻²

= $\frac{-6}{x^{2}}$

f'(-2) = $\frac{-6}{(-2)^{2}}$

= $-\frac{6}{4}$

= $-\frac{3}{2}$

*****************************************************

2) Answer: $\frac{1}{4}$

<u>Step-by-step explanation:</u>

f(x) = -9x⁻¹

f'(x) = 9x⁻²

= $\frac{9}{x^{2}}$

f'(6) = $\frac{9}{(6)^{2}}$

= $\frac{9}{36}$

= $\frac{1}{4}$

8 0

3 years ago

What is the value of x in the equation 3 / 2 (4x - 2) - 3x = 5 - (x + 2)? Please hurry.

OLga [1]

Answer:

Step-by-step explanation:

$\frac{3}{2} (4x - 2) - 3x = 5 - (x + 2)$

Expand

$\frac{3}{2} (4x - 2) = 6x - 3$

$- (x + 2) = - x - 2$

$6x - 3 - 3x = 5 - x - 2$

Collect like terms and simplify

$6x - 3x + x = 5 - 2 + 3 \\ 4x = 6$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{6}{4}$

simplify

$x = \frac{3}{2}$

7 0

3 years ago

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