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
RSB [31]
3 years ago
14

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot...

...

Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0

Answer:

240.6 ft is your answer of your question.

erastovalidia [21]3 years ago
5 0

Answer:

<h2>240.6 feet</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • trigonometry
  • PEMDAS
<h3>let's solve:</h3>

to find x we will use cos function

\quad \:  \cos( \theta)  =  \dfrac{adj}{hypo}

substitute the value of \theta and adj:

\quad \:  \cos(  {67}^{ \circ} )  =  \dfrac{94}{x}

cross multiplication:

\quad \: x\cos(67^{\circ})= 94

divide both sides by cos(67°) :

\quad \:  \dfrac{x \cos( {67}^{ \circ} ) }{ \cos(  {67}^{ \circ} ) }   =  \dfrac{94}{ \cos( {67}^{ \circ} ) }  \\  \therefore \: x = 240.6

You might be interested in
Help please its math on this test.
Karo-lina-s [1.5K]

Step-by-step explanation:

Fractions with only factors of 2 and 5 are terminating. If not, they give repeating decimals.

Therefore 17/8 and 34/16 are terminating whereas 2/13, 5/24 and 6/7 are repeating decimals.

3 0
3 years ago
Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s
notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

No-show rate of 10%.

This means that p = 0.1

Four travelers who have made hotel reservations in this study.

This means that n = 4

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486

P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036

P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001

P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561

P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916

P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486

P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036

P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0
3 years ago
A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The sec
DochEvi [55]

The statements that are true about the intervals of the continuous function are Options 2, 4  and 5

  • f(x) ≤ 0 over the interval [0, 2].
  • f(x) > 0 over the interval (–2, 0).
  • f(x) ≥ 0 over the interval [2, ).

<h3>What is the statement about?</h3>

Looking at the values given, the intervals which satisfies the condition are known to be:

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

f(x)>=0 over the interval [2,∞)

Because:

Since the table with x  and f(x) values, we have to examine analyze the table and see the each option that is in line with f(x) or not .

Examine the values of x that is from -3 to 3, the f(x) values are both positive and negative . hence f(x)>0 is false over the interval (-∞,3)

Looking at the the interval from 0 to 2, the f(x) values are 0 and negative. Hence, f(x)<=0 over the interval [0,2]

When you look over the interval (-1,1), the f(x) values are said to be both positive and negative and as such, f(x)<0 is false over the interval (-1,1)

When you look at the interval (-2,0) , the f(x)  is positive and as such, f(x)>0 over the interval (-2,0)

Looking at the interval  [2,∞), f(x) is positive and as such, f(x)>=0 over the interval [2,∞)

Therefore, Option 2, 4 and 5 are correct.

Learn more about interval from

brainly.com/question/14454639

#SPJ1

6 0
2 years ago
Simplify the expression (4x - 3)(x + 5).
Drupady [299]
(4x-3)(x+5)
= 4x^2+20x-3x-15
= 4x^2+ 17x -15.

The final answer is 4x^2+ 17x -15~
3 0
3 years ago
PLEASE HELP!!!! Complete the proof for the following conjecture. WILL GIVE BRAINLIEST!
Darina [25.2K]
Huh I 8 so yeah bye nice talking to ya
5 0
3 years ago
Other questions:
  • The electromagnetic waves with the shortest wavelengths and the highest frequencies are called
    11·1 answer
  • According to the Rational Root Theorem, the following are potential roots of fu) = 8042-572-18
    6·1 answer
  • This year a small business had a total revenue of 48,300 if this is 38% more than their total revenue the previous year what was
    11·2 answers
  • Which is the slope of the line that passes through the points (−3,1) and (4,−2)?
    5·2 answers
  • On Monday the high was 60 degrees Fahrenheit. On Tuesday, the high was 18% more. How much did the high increase from Monday to T
    7·2 answers
  • Mae Ling earns a weekly salary of $380 plus a 6.0% commission on sales at a gift shop. How much would she make in a work week if
    11·2 answers
  • What are two ways that the solution of a quadratic equation can be found using a graphing calculator?
    15·1 answer
  • In a scientific study there are 7 guinea pigs, 4 of which are pregnant. If 3 are selected at random without replacement, find th
    9·1 answer
  • 130 inches, 4 yards, or 10 feet shortest to longest
    10·1 answer
  • Determine if the situation described in each row can be represented by 9x+3=21 or by 3x+9=21. Select the correct answer in each
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!