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2 years ago

One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point

Mathematics

1 answer:

sveta [45]2 years ago

6 0

Answer:

38.7°

Step-by-step explanation:

You are basically looking at a triangle with a 90° angle (check picture).

Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

$sin (\alpha) = opposite / hypothenuse= 5 ft/8ft$

which is equivalent to

$\alpha = sin^{-1}(5/8)\approx 38.7\deg$

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Which function has the same graph as x + y = 112 OA x) = -y + 11 OB. f(x) = -x + 11 Oc. x) = x- 11 O D. x) = y-11

Lera25 [3.4K]

Answer:

B. f(x) = -x + 11

Step-by-step explanation:

First if you rearrange the equation you get f(x) = -x + 11, like this:

x + y = 11

Minus x from both sides

y = -x + 11

F(x) and y are interchangeable so we just put f(x) in

f(x) = -x + 11

Each of the graphs are attached and we see that they are the same!

Hope this helps!!

- Kay

4 0

2 years ago

Find x. A. 11√6/2 B. 22 C. 33 D. 11√3/2

Phoenix [80]

Answer:

Step-by-step explanation:

using the tangent ratio on the triangle on the right and the exact value

tan60° = $\sqrt{3}$ , then letting the altitude be h

tan60° = $\frac{opposite}{adjacent}$ = $\frac{11\sqrt{6} }{h}$ = $\sqrt{3}$ ( multiply both sides by h )

11 $\sqrt{6}$ = h × $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

11 $\sqrt{2}$ = h

using the sine ratio in the triangle on the left and the exact value

sin45° = $\frac{\sqrt{2} }{2}$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{h}{x}$ = $\frac{11\sqrt{2} }{x}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

$\sqrt{2}$ × x = 22 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 22

6 0

1 year ago

A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?

avanturin [10]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with base radius 9mm and height 13 mm

To calculate - volume of the cone

We know that ,

$Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\$

substituting the values in the formula ,

$Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3}$

hope helpful ~

7 0

2 years ago

PZ PLZ PLZ HELP I DO NOT UNDERSTAND THIS KINDA OF STUFF IF U DONT KNOW DO NOT ANSWER IT I ACTUALLY NEED HELP NO LINKS PLZ PLZ

ivanzaharov [21]

Answer:

176

Step-by-step explanation:

11x11=121

12x11=132

9=20-11

16-9=7

11x16=176

Hope this helped you :D

And pls give me brainlist if you can

7 0

3 years ago

Read 2 more answers

Calculate the following: 4 + 6 = 2 x 5 - 3 =

AURORKA [14]

Answer:

10=7

Step-by-step explanation:

6+4=10

2x5=10

10-3=7

Hope this helps :)

7 0

2 years ago

Read 2 more answers