All categories

2 years ago

Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 73° with the

Mathematics

1 answer:

ANTONII [103]2 years ago

3 0

Answer:

15.30 feet

Step-by-step explanation:

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

$sin(73^{o}) = \frac{x}{16}$ where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

$x = 16{sin(73^{o})}$

Using the calculator, we can get 15.30

You might be interested in

Evaluate using <br> Definite integrals

swat32

Since $[0,4]=[0,1]\cup(1,4]$ , we can rewrite the integral as

$\displaystyle \int_0^1f(t)\;dt + \int_1^4 f(t)\; dt$

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

$\displaystyle \int_0^1f(t)\;dt = \int_0^11-3t^2\;dt,\quad \int_1^4 f(t)\; dt = \int_1^4 2t\; dt$

Both integrals are quite immediate: you only need to use the power rule

$\displaystyle \int x^n\;dx=\dfrac{x^{n+1}}{n+1}$

to get

$\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4$

Now we only need to evaluate the antiderivatives:

$\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15$

So, the final answer is 15.

4 0

3 years ago

What is the difference between a sequence and a series? What is the difference between a geometric and an arithmetic sequence?

Neporo4naja [7]

Answer/Step-by-step explanation:

A series is events coming one after another but a sequence is in a certain order.

arithmetic is the difference between two constant terms while geometric is the ratio between two constant terms.

arithmetic: -

geometric: ÷

5 0

3 years ago

Please help me find the value of x! Thank you!

Arisa [49]

Answer:

there is no value its letter

Step-by-step explanation:

there is no value to a letter duh

3 0

2 years ago

Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in r

natta225 [31]

Answer:

D)the time (in hours) a 4-year-old spends unsupervised per day

Step-by-step explanation:

Given that 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe

X - the time (in hours) a 4-year-old spends unsupervised per day

X is N(3,1.8)

$P(X$

4 0

3 years ago

Please help it is multiple choice. Just read the question then answer it correctly

Korvikt [17]

First question, answer is A, the starting point in the graph shows it’s (0,150) while the slope is 30, look at the labeled axis.

second question, i have to do work for it, i can answer it later. remind me. but in order to find the slope, the formula is delta y over delta x. then to find the y intercept, do what’s called “collect the evidence”. this is when you fill out all needed info, it will look like this- y= x= m= b= ??

idk ab the third question, they would all make the function fine?? idk i’m confused, it doesn’t make sense

fourth question, the answer would be B

3 0

3 years ago