1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lilit [14]
2 years ago
12

Find the measure of 0. Round answer to the nearest tenth. Pleas help

Mathematics
1 answer:
DENIUS [597]2 years ago
6 0

Answer:

\theta=36.43^{\circ}

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of \theta. It can be calculated using trigonometry as follows :

\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})

Put all the values,

\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}

So, the value of \theta=36.43^{\circ}.

You might be interested in
A car travels 500 miles at an average speed of 60 MPH on the return trip the same route that it travels 50 miles per hour how lo
xxMikexx [17]

Step-by-step explanation:

it is not clear - is 500 miles the whole round trip, or is it only the trip in one direction ?

and do we need the time for the whole round trip, or only for the return trip ?

in any case, always remember,

speed = distance/time

therefore, to get time, we need to divide distance by speed :

distance / distance/time = time×distance/distance = time

so, let's calculate all these different scenarios :

1. 500 miles is only one direction, and we measure only the time going back with 60 mph :

500 / 60 = 50/6 = 25/3 = 8 1/3 = 8 hours 20 minutes.

as 1/3 of 1 hour = 1/3 of 60 minutes = 60/3 = 20 minutes.

2. 500 miles is only one direction (going 1000 miles altogether), and we measure the time going to with 50 mph and going back with 60 mph :

500 / 50 = 10 hours

500 / 60 = 8 hours 20 minutes

the whole round trip takes 18 hours 20 minutes.

3. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure only the time going back with 60 mph :

250 / 60 = 25/6 = 4 1/6 = 4 hours 10 minutes.

as 1/6 of 1 hour = 1/6 of 60 minutes = 60/6 = 10 minutes.

4. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure the time going to with 50 mph and back with 60 mph :

250 / 50 = 5 hours

250 / 60 = 4 hours 10 minutes

the whole round trip takes 9 hours 10 minutes.

did you notice ?

when going only half the distance, also the time it takes to travel that distance is only half (or vice versa - double). because the ratio distance/time is always the same.

7 0
2 years ago
What is the leading coefficient of the polynomial function? <br><br> y=-x^4+4x^2
attashe74 [19]
<h3>Answer:  -1</h3>

Explanation:

The given equation is the same as y = -1x^4+4x^2

The leading term is the term with the largest exponent, so it's -1x^4

The leading coefficient is the coefficient of the leading term.

In short, we circle the first coefficient we see. This is assuming that the polynomial is in standard form where the exponents decrease when going from left to right.

6 0
1 year ago
Can I get help on this please
ryzh [129]

Answer:

D.

Step-by-step explanation:

<FIL and <AIN are Vertical angles.

Vertical angles are always congruent.

Congruent means the same or equal.

8 0
2 years ago
Devon is trying to find the unit price on a 6-pack of drinks on sale for 2.99$. His sister says that at that price, each drink w
Andrew [12]

She is not correct, because $3.00 divided by 6 is 50 cents, so by using that equation she could evaluate that she is wrong and find the correct answer.

6 0
3 years ago
Read 2 more answers
The table shows the results of a survey of students in two math classes.
qwelly [4]

P(more than 1 hour of TV | 6th period class) is  0.352.

<h3>What is the probability?</h3>

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

4 0
1 year ago
Other questions:
  • Shayla states that r2+5r+3r is an equivalent expression to 9r. Why is Shayla’s statement incorrect? Explain
    9·2 answers
  • It cost $1.25 for half a pound of birdseed . What is the unit rate and what does it represent
    13·1 answer
  • Which ordered pairs in the form (x, y) are solutions to the equation
    14·1 answer
  • Evaluate:<br><br> 14 - (-21) + (-31) - (-25) - (-27)<br><br> A) -56 <br> B) 28 <br> C) 35 <br> D) 56
    12·2 answers
  • An archer hits his target 80% of the time. If he shoots 7 arrows, what is the probability of each event
    5·1 answer
  • Pls help me with this
    11·1 answer
  • Drag the missing statements and reasons to the correct spot to complete the proof
    12·1 answer
  • Please help me out with this guys
    9·1 answer
  • Use Green's Theorem to evaluate C F · dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = x + 10y3,
    12·1 answer
  • 5. Which of the following situations could be solved using the equation 3m + 5 = 11? Select two
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!