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
Aliun [14]
2 years ago
12

Analyze the diagram below and complete the instructions to follow. Find a, b and c

Mathematics
1 answer:
Feliz [49]2 years ago
5 0

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find b:

Reference angle = 45

opposite = 8

Hypotenuse = b

Thus,

Sin(45) = 8/b

b = 8/sin(45)

b = 8/(1/√2) (sin 45 = 1/√2)

b = 8 × √2/1

b = 8√2

✔️Find a using trigonometric ratio:

Reference angle = 60°

Hypotenuse = b = 8√2

Adjacent = a

Therefore,

Cos(60) = a/8√2

8√2*cos(60) = a

8√2*½ = a

4√2 = a

a = 4√2

✔️Find c using Pythagorean Theorem:

c² = b² - a²

c² = (8√2)² - (4√2)²

c² = 128 - 32

c² = 96

c = √96

c = √(16*6)

c = 4√6

You might be interested in
Please answer all 5 xoxo <3
romanna [79]

Answer:

First Image:         Option D

Second Image:   Option D

Third Image:       Option C

Fourth Image:     Option B

Fifth Image:         Option B

Step-by-step explanation:

<u>First Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 47 = 133°
  • ? is an obtuse angle is any angle greater than 90° which checks the answer

<u>Second Image:</u>

  • A triangle angles adds up to 180°
  • Two angles are already given
  • 72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
  • ? is an acute angle is an angle that measures between 90° and 0°

<u>Third Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 110 = 70°
  • ? is an acute angle is an angle that measures between 90° and 0°

<u>Fourth Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 120 = 60°
  • we are shown a right angle which = 90°
  • A triangle adds up to 180°
  • 180 - 90 - 60 = 30
  • ? = 30°
  • ? is an acute angle is an angle that measures between 90° and 0°

<u>Fifth Image:</u>

  • Supplementary angles is two angles whose sum is 180 degrees (straight line)
  • 180 - 85 = 95°
  • ? is an obtuse angle is any angle greater than 90° which checks the answer

Learn more about Triangles here: brainly.com/question/4186813

5 0
2 years ago
Sally is 1 year older than 3 times the age of joe.Chirs is 5 years younger than 6 times the age of joe.If sally and Chris are th
Sav [38]
S = sally C = Chris J = Joe
sally is one year older than 3 times the age of joe, so
s = 3j + 1
chris is 5 years younger than 6 times the age of jo, so
c = 6j - 5
sally and chris are the same age so
s = c so
3j + 1 = 6j - 5
-3j -3j
1 = 3j - 5
+5 +5
6 = 3j or
3j = 6
3j/3 = 6/3
j = 2

check
s = c
3(2) +1 = 6(2) - 5
6 + 1 = 12 - 5
7 = 7 correct✅
7 0
3 years ago
Read 2 more answers
What is the midpoint of the segment shown below?
Aneli [31]

Answer:

(1, -3/2)

Step-by-step explanation:

The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1

The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2

(2+-5)/2 = -3/2

The midpoint is

(1, -3/2)

5 0
3 years ago
Read 2 more answers
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
Fittoniya [83]

We are given a function of the bouncing of the ball expressed as f(n) = 9(0.7)n in which n is an integer as the number of times the ball has dropped. 9 represents the initial height of the ball and 0.7 is the percent of which the height is reserved
4 0
3 years ago
Read 2 more answers
What is the solution set for z+10=z-2
photoshop1234 [79]

Answer: No Solution.

There are no values of z that make the equation true.

Step-by-step explanation:


5 0
2 years ago
Other questions:
  • The perimeter of a rectangle is 70 cm. If its length is decreased by 5 cm and its width is increased by 5 cm, its area will incr
    14·1 answer
  • The number of eagles observed along a certain river per day over a two week period is listed below. What is a frequency table th
    8·2 answers
  • Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed
    13·2 answers
  • Kai wrote the number 85 on the board. Is 85 prime or composite? Explain
    5·1 answer
  • What is the least number of bowling balls to make the mode 14 pound so
    15·1 answer
  • Y divided by 3 is equal to 15
    9·2 answers
  • Question 4 Simplify the expression below 88/4+7X(3+6)*<br>O<br>A 85<br>B 72<br>C 261<br>D 38​
    5·1 answer
  • Kathy lives directly east of the park. The football field is directly south of the park. The library
    9·1 answer
  • HELP PLZ BRAINIEST TO WHOEVER RIGHT
    8·1 answer
  • Rewrite the expression 16 + 32 as the product of the
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!