All categories

3 years ago

If a force of 60 pounds acts at an angle of 40° to the horizontal, what is its vertical component? 20 lb 35 lb 39 lb 46 lb

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Answer:

The answer to your question is 39 lb

Step-by-step explanation:

Data

Force = 60 lb

angle = 40°

vertical component = ?

Process

To answer this question, we must imagine a right triangle where the force gave is the hypotenuse, and the vertical component will be the opposite side to the 40° angle.

1.- Look for a trigonometric function that relates the opposite side and the hypotenuse

sin Ф = Opposite side / hypotenuse

- Solve for Opposite side

Opposite side = hypotenuse x sin Ф

- Substitution

Opposite side = 60 x sin 40

- Simplification

Opposite side = 60 x 0.64

- Result

Opposite side = 38.56 ≈ 39 lb

You might be interested in

PLEASEE IM GIVING BRAINILST JUST PLEASE HELPP ME!!John and Hank work as gift wrappers at a toy store. In 4 minutes, John can wra

beks73 [17]

Answer:

in 20 minutes John can rap 10 small boxes and Hank can rap 12 small boxes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu

m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

a. Find the standard deviation of the sample proportion based on the null hypothesis

Based on the null hypothesis:

$p_{0}$ : 0.35

and the standard deviation σ = $\sqrt{p_{0} *(1-p_{0}) }$ = $\sqrt{0.35 *0.65 }$ ≈0.4770

b. Find the z statistic

z-statistic is calculated as follows:

z= $\frac{X-p_{o} }{\frac{s}{\sqrt{N} } }$ where

X is the proportion of employees in the survey who take advantage of the Credit Union ( $\frac{138}{300}=0.46$ )
$p_{0}$ is the proportion in null hypothesis (0.35)
s is the standard deviation (0.4770)
N is the sample size (300)

putting the numbers in the formula:

z= $\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } }$ = 3.9945

c. Does the z statistic seem like a particularly large or small value?

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0

3 years ago

If you roll a fair six-sided die and a fair four-sided die, what is the probability that the dice add to 7?

sveticcg [70]

1/6.

For any given roll on a four-sided die, there is exactly one roll on a six-sided die (1/6 chance) which will sum to 7.

Since it doesn’t matter what you roll on the four-sided die, the chance is always 1/6 with a fair six-sided die.

One interesting result of this is that only the 6-sided die has the be fair for this result to hold. The 4-sided die can be very biased in any direction and the final result will still be 1/6.

4 0

3 years ago

If A=0 and E=1, what is the value of C

daser333 [38]

Answer:

C=2

Step-by-step explanation:

(26/3 so remainder =2) place of C in alphabet = 3

7 0

3 years ago

Can you please Help with this question

Artemon [7]

Answer:

that's hard bro what grade are you in

8 0

3 years ago