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
umka21 [38]
3 years ago
10

The equation cos−1 = x can be used to determine the measure of angle BAC.

Mathematics
2 answers:
Sergio [31]3 years ago
5 0

we know that

in the right triangle ABC

the value of cosine of angle x is equal to

cos(x)=\frac{AC}{AB}

we have

AC=3.4\ cm\\AB=10\ cm

substitute the values

cos(x)=\frac{3.4}{10}=0.34

Find the measure of angle x

x=cos(x)^{-1} =arc\ cos(0.34)=70.12\°

Round to the nearest whole degree

x=70\°

therefore

<u>the answer is</u>

70\°


9966 [12]3 years ago
3 0

The value of \boxed{\angle BAC=x=70^\circ } .

Further explanation:

Given:

The given right angle triangle is \Delta ABC .

The length of AC  is  3.4{\text{ cm}}, the length of AB  is {\text{10 cm}}  and \angle BAC=x .

Step by step explanation:

Step 1

Now the base of \Delta ABC  is AC  and the hypotenuse is AB  corresponds to angle x .

The value of cosine of angle x  can be represented as,

\cos\left(x\right)=\frac{{AC}}{{AB}}                                                                              ……(1)

Since the values are AC=3.4{\text{ cm, }}AB=10{\text{ cm}} .

Now substitute the values AC=3.4{\text{ cm, }}AB=10{\text{ cm}}  in equation (1).

\begin{aligned}\cos\left(x\right)&=\frac{{3.4}}{{10}}\\&=0.34\\\end{aligned}

Step 2:

Now find the inverse of the cosine to obtain the value of x  as,

  \begin{gathered}x={\cos^{-1}}\left({0.34}\right)\hfill\\x=70.12^\circ\hfill\\\end{gathered}

Step 3:

Now round the value of x  to the nearest whole degree.

   x=70^\circ

Therefore, the value of \angle BAC=x=70^\circ .

Learn more:

  • Learn more about the cost of   coffee cans <u>brainly.com/question/1576882 </u>
  • Learn more about the whole value of   for which the solution of the equation <u>brainly.com/question/11744034</u>
  • Learn more about one solution contains 2 parts salt to 8 parts water, and another contains 3 parts salt to 5 parts water. How much of each should be mixed together in order to obtain 280 quarts of a solution that is 3 parts salt to 7 parts water? <u>brainly.com/question/3757441 </u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Trigonometry

Keywords: Cosine function, sine function, equation, inverse, angle, round, whole degree, value, trigonometry, right angle triangle, perpendicular, base, hypotenuse

You might be interested in
Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10
goldfiish [28.3K]

Answer:

Step-by-step explanation:

This is a quartic  equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

4 0
3 years ago
HELP PLEASEEEEEEEEEEEEEEEEEEEEE
Over [174]

Answer:

15.25×3

45.75-5

=40.75

3 0
3 years ago
Marcie wants to enclose her yard with the fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for
jeyben [28]
If rectangle and triangle are attached ....so
area of rectangle will be L×W
and area of triangle will be .5 × b×h

as we know both are attached then base would be equal to width
..so b=W !!!
5 0
3 years ago
Don buys 6 kiwis for 3$ what would a customer have to pay for 9 kiwis
kirill [66]

Answer:

It will cost $4.50 for 9 kiwis

Step-by-step explanation:

Lets find the cost per kiwi

$3 / 6 kiwis

.50 per kiwi

Now we have 9 kiwis

$.50 (9)

$4.50

It will cost $4.50 for 9 kiwis

3 0
2 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2
vampirchik [111]

Answer: y=-1/2x-4

Step-by-step explanation:

If you use point slope formula you get

y+2=-1/2(x+4)

simplify that in y=mx+b and you get

y=-1/2x-4

4 0
3 years ago
Other questions:
  • 14T1,000 lb+2T1,000 lb
    14·1 answer
  • mrs. whitmore starts driving at 6:45 and stops at 11:15 and goes approximate 292. find her approximate average speed
    10·1 answer
  • Nh term to 25 20 15 10 5
    12·1 answer
  • One x-intercept for a parabola is at the point (0.5,0). Use the factor method to find the other x-intercept for the parabola def
    14·1 answer
  • What is the value of 3(2)^ 2 ?
    10·1 answer
  • Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.
    5·1 answer
  • Y=3x + 15<br>4X-3y =25<br>SOLVE BY SUBSITUTION​
    7·2 answers
  • How can you use the prime factorization of the powers of 10 to find the prime factorization of 270,000
    8·1 answer
  • Find the radius of a circle with diameter 91yd
    13·2 answers
  • An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!