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
makkiz [27]
3 years ago
13

Find all the missing elements. NEED HELP PLZZZZ

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

  • B=42°
  • C=98°
  • c=10.7 units

Step-by-step explanation:

Given

  • Angle A = Ф = 40°
  • a=8
  • b=7

We know that trigonometric ratio as

  • sin Ф = opposite/hypotenuse
  • cos Ф = adjacent/hypotenuse
  • tan Ф = opposite/adjacent

as

sin A = sin 40 = opposite/hypotenuse

From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.

also the angle

sin A = sin 40 = opposite/hypotenuse = a/c = 8/c

sin 40 = 8/c

c = 8/sin 40

c = 8/0.745

c = 10.7

so the value of c will be: 10.7 units

so

tan B = opposite/adjacent

         = b/a

         = 0.9

B=\tan ^{-1}\left(0.9\right)

   =42^{\circ \:}

Therefore, the value of B = 42^{\circ \:}

As the sum of the angles of triangle ABC is 180.

i.e.

A+B+C = 180

(40)° + (42)° + C = 180°

C = 180° - 40° - 42°

  = 98°

Therefore, the value of C = 98°

Hence,

  • B=42°
  • C=98°
  • c=10.7 units
You might be interested in
The gravitational force, F, on a rocket at a distance, from the center of the earth is given by F = k / (r^2), where k = 10 ^3 n
makvit [3.9K]
F = k / (r^2)
dF/dt = -2k / (r^3) dr/dt

When r = 10^4 km and dr/dt = 0.2 km/sec
dF/dt = -2(10)^3 (0.2) / ((10^4)^3) = -400 / 10^7 = -0.00004 N/s

The gravitational force is changing at the rate of -0.00004 N/s
3 0
3 years ago
Mr. Golv is practicing his jiu jitsu drill where he does 5 guard passes and 2 kimura arm locks. A guard pass takes G seconds, an
agasfer [191]
1.)C
2.)A
3.)B
4.)B
5.)A
4 0
3 years ago
Read 2 more answers
A 7m wide path is to be constructed all around and outside a circular park of diameter
Assoli18 [71]

Answer:

392m^2

Step-by-step explanation:

as the length = diameter of the circular park

then

Area = length * width = 56 * 7 = 392m^2

8 0
3 years ago
Read 2 more answers
Evaluate the following expression. round your answer to two decimal places. log8 2.718
eduard

Answer:

log8 (2.718) = 0.48

Step-by-step explanation:

In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944

= 0.4808

7 0
3 years ago
A glacier grew g feet over winter. It shrank 25 feet in summer.if the total change was -10 feet how much had the glacier grown i
Nataly [62]
You would have to add 25 and -10 together
5 0
3 years ago
Other questions:
  • -2(3x-4)=-8x<br> Solve for x
    6·2 answers
  • 8456.2 in exponential form?
    15·1 answer
  • At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in Au
    14·1 answer
  • Is this right?........
    9·1 answer
  • When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
    14·1 answer
  • True or false 4x^2+ 7x ^2 + x ^2 = 11x 2
    12·2 answers
  • Plsss help I’ll give u brainlest and 10 points
    12·1 answer
  • What is Lcm of 30 and 40
    8·2 answers
  • I need serious help guys!!!!!!
    15·1 answer
  • What is the minimum value for the function shown in the<br> graph?<br> Enter your answer in the box.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!