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4 years ago

2. The bottom of a ramp is placed 15 feet from the edge of a stage

Mathematics

1 answer:

Firdavs [7]4 years ago

8 0

Answer:

The slope of the ramp is 1.

Step-by-step explanation:

See the diagram attached.

Here, AC = 15 ft. and ED = 5 ft. while AE = 10 ft.

Then, EC = (15 - 10) = 5 ft.

Now, considering the right triangle Δ EDC, if $\theta$ is the inclination of the ramp, then $\tan \theta = \frac{ED}{EC} = \frac{5}{5} = 1$

Hence, $\theta = 45 ^{\circ}$

Therefore, the slope of the ramp is 1. (Answer)

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You have 28 meters of fence to make 3 sides.
28/3 = 9.3333

The pen will be 9.3333 by 9.3333 meters

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3 years ago

A linear equation with one solution in it is

UkoKoshka [18]

2x+7=3x+3 is a linear equation with on solution

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3 years ago

Find the amount erica owes at the end of 6 years if $60000 is loaned to her at a rate of 4% compounded monthly

RSB [31]

Answer: $76,244.51

Step-by-step explanation:

You need to use the compound interest formula here.

First of all however, you need to convert the terms to monthly figures because the interest is compounded monthly.

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4 0

3 years ago

A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr

OLga [1]

Height of the pentagon = 9 ft

Edge of base = 3 ft

$area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}$

s is the length of any side = 3

n is the number of sides = 5

tan is the tangent function calculated in degrees

$\\ \\\\area of pentagon = \frac{3^{2}(5)}{4 tan\left ( \frac{180}{5} \right )}\\\\\\area of pentagon = \frac{9(5)}{4 tan\left ( 36 \right )}\\\\area of pentagon = \frac{45}{4 ( 0.7265 )}\\\\area of pentagon = \frac{45}{2.906}\\\\area of pentagon = 15.4852$

Volume of the pentagon = area of base (height )

Volume of the pentagon = 15.4852 (9)

Volume of the pentagon = 139.366

Volume of the pentagon = 139.37 cu.ft

5 0

3 years ago

Read 2 more answers

Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models t

AfilCa [17]

Answer:

<em> Linear model </em>

The function f(x) which represents the total amount in the savings account in x months is given by: f(x)=25x+2000

Step-by-step explanation:

Given:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

This shows that the rate at which the amount is increasing each month is constant.

Therefore, the model will be linear with a slope 25.

So , if x represents the number of months.

and f(x) represents the corresponding amount in the account.

Then the function f(x) is given by: f(x)=25x+2000

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3 years ago