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
lianna [129]
3 years ago
7

What is the value of x in this triangle?

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
6 0
We are given the hypotenuse, an angle, and a side that is <em>adjacent </em>to the angle. If we need to find the angle, we use a trigonometric ratio known as cos(x):
cos(x) = \frac{adj}{hyp}

We need to solve for x, so we need to cancel cos from the other side. The inverse of cos(x) is arccos(x):
arccos(cos(x)) = arccos( \frac{adj}{hyp})
x = arccos( \frac{adj}{hyp})

Now, we can safely solve for x:
x = arccos( \frac{15}{29}) = 58.85

So, your answer is: x = 58.85°.
Sunny_sXe [5.5K]3 years ago
5 0

Answer: 58.85

Step-by-step explanation:

just took the test :)

You might be interested in
How many containers?
Radda [10]
The answer is 7 containers
8 0
3 years ago
How long does it take a person to skate the length of a hockey rink (200 feet) at a constant speed of 8 feet per second?
Svetradugi [14.3K]
V=\frac{d}{t}=> \boxed{t=\frac{d}{V}} \\\\ V-the \ speed \\ d-the \ distance \\ t-time \\\\ t=\frac{200ft}{8\frac{ft}{s}}= \frac{200ft}{1}*\frac{1}{8}\frac{s}{ft} \\\\ \boxed{t=25s}
6 0
3 years ago
Read 2 more answers
This can open up new areas to explore if we change those assumptions. For example, both of our proofs that the measures of the a
Fynjy0 [20]

Answer:

this makes no sense can u simplify it in the comments and i'll answer there pls

7 0
3 years ago
(3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths
____ [38]

The value of "x" is 5.5

<em><u>Solution:</u></em>

Given that we have to solve the proportion

\frac{3x - 4}{14} = \frac{9}{10}

We can solve the above given proportion for "x" by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable "x"

\rightarrow \frac{3x - 4}{14} = \frac{9}{10}\\\\\rightarrow 10(3x - 4) = 14 \times 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533

On rounding to nearest tenth we get 5.5

Thus value of "x" is 5.5

3 0
4 years ago
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop
klemol [59]

Answer:97/125

Step-by-step explanation:

“As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

n(c)=55-(6+24+11)=55-31=14

Also, number of people who use gym and track=11+23+19+6+14+24=97”

8 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o
    5·1 answer
  • A scientists writes the equation N(h)= 100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represent t
    9·1 answer
  • What’s 1 tablespoon = to blank teaspoons?
    9·1 answer
  • Find all solutions to the equation. <br><br> cos2x + 2 cos x + 1 = 0
    14·1 answer
  • Evaluate 2a + 4b if a =10 and b=6
    12·1 answer
  • Cars are made in a factory at a rate of 39 cars every 3hours at this rate, how many cars can be made on the factory in 7 hours
    8·1 answer
  • Jenny will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57.98 and costs an
    7·2 answers
  • What is 40.6 in fraction form?
    14·1 answer
  • Your value to live in a quiet apartment is $400. The neighbor living above your apartment makes noise using her treadmill every
    8·2 answers
  • 26=7(g−9)+1226, equals, 7, left parenthesis, g, minus, 9, right parenthesis, plus, 12
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!