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Andru [333]
3 years ago
6

Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the gr

ound.
Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

2.74feet

Step-by-step explanation:

Since we are not told what to find, we can find the height of the plywood

Given the following

length of ramp = 8feet

angle of elevation = 20degrees

Required

Height of the plywood

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 20 = H/8

H = 8sin20

H = 8(0.3420)

H = 2.74 feet

Hence the height of the plywood is 2.74feet

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Ganezh [65]

Answer:

20 mm^3

Step-by-step explanation:

Formula

V = 1/3 B * h

Givens

B = 15 mm^2

h = 4 mm

Solution

V = 1/3 * 15 * 4

V = 20 mm^3

5 0
3 years ago
What is the constant of proportionality for y=-5x ?
Firlakuza [10]

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

the constant of proportionality is k, so k=-5


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Find the measure of angle C.<br> B (110°<br> 30°<br> A
Oksana_A [137]

Explanation is in the file

tinyurl.com/wpazsebu

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3 years ago
Apopulation grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.a) Write a function to model the
solong [7]

Answer:

a) P(t) = 22000(1.071)^{t}

b) The population increases 7.1% each year.

Step-by-step explanation:

The continuous population growth model is given by:

P(t) = P_{0}(1+r)^{t}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

In this problem, we have that:

A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.

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a) Write a function to model the population increase.

P(t) = 22000(1 + 0.071)~{t}

P(t) = 22000(1.071)^{t}

b) By what percent does the populaiion increase each year?

r = 0.071

So the population increases 7.1% each year.

6 0
3 years ago
If y= -6 when x= -14 determine when y= -4
brilliants [131]

x=-12  i got this answer because -14 is 8 more than -6 so i added 8 to -4 and i got -12


                                                 hope it helps

5 0
3 years ago
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