Ask question

Ask question

All categories

3 years ago

10

Danny has a 15-foot board that he wants to use as a motorcycle ramp. If Danny wants the end of the ramp to be 4 feet off the gro

und, what angle will be formed between the board and the ground? Round the answer to the nearest whole degree.
A. 14 degrees
B.15 degrees
C.27 degrees
D.75 degrees

2 answers:

malfutka [58]3 years ago

5 0

This forms a right triangle with hypotenuse of length 15 and vertical component of length 4. Use the inverse of sine (vertical/hypotenuse) to get arcsin(4/15) = 15.4 degrees which rounds to 15
Final answer:
Answer choice B, 15 degrees

insens350 [35]3 years ago

3 0

Answer:15

Step-by-step explanation:

You might be interested in

A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,

Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

$People = 12$

$Selection =3$ (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$n = 12$

$r= 3$

So, we have:

$^nC_r = \frac{n!}{(n - r)!r!}$

$^{12}C_3 = \frac{12!}{(12 - 3)!3!}$

$^{12}C_3 = \frac{12!}{9!3!}$

$^{12}C_3 = \frac{12*11*10*9!}{9!3!}$

$^{12}C_3 = \frac{12*11*10}{3!}$

$^{12}C_3 = \frac{12*11*10}{3*2*1}$

$^{12}C_3 = \frac{12*11*10}{6}$

$^{12}C_3 = 2*11*10$

$^{12}C_3 = 220\ ways$

<em>There are 220 choices</em>

8 0

3 years ago

Can u please find the value of X and both missing angle measures? It’s just notes I was absent when she explained it.

KIM [24]

Heres a tip---- if it has a square its 90 degrees if it doesnt its 180 and if its in an x shape theyre equal

8 0

3 years ago

Please awnser questions, no links, no I dont know

balandron [24]

Answer: C

Step-by-step explanation:

The equation is 3x = 6, that represents 3 x ? = 6, babe. 3 x 2 = 6, so that means C must be the answer. If it was D, it would be 0.2 I think, and if it was B, it would’ve been -2. If it was A, it would’ve been 0. Bye-bye toots~

3 0

3 years ago

Read 2 more answers

Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

4 years ago

Three fourths of a number p less than two is five sixths of another number r plus five solve for r

maw [93]

r = -3/4p - 18/5
(or you could put 3.6 or 3 3/5 instead of 18/5)

2 - 3/4p = 5/6r + 5
-5 -5
-3 - 3/4p = 5/6r
/(5/6) /(5/6)
-18/5 - 3/4p = r
-3/4p - 18/5 = r

5 0

4 years ago