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
marissa [1.9K]
3 years ago
9

Find the value of the letter in each of the following. Give your answers to 1 d.p.

Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

a) z = 70.5°

b) s = 83.6°

c) x = 0.7cm

Step-by-step explanation:

We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.

a) We are given the following values

Hypotenuse = 21 inches

The triangle is divided into two to give us a right angle triangle

The adjacent side = 14inches/2 = 7 inches

We are to find Angle z

The Trigonometric function we are using is Cosine

cos z = Adjacent / Hypotenuse

cos z = 7/21

cos z = 1/3

z = arc cos(1/3)

z = 70.528779366°

To 1 decimal place

z = 70.5°

b) We are given the following values

Hypotenuse = 12 cm

The triangle is divided into two to give us a right angle triangle

The opposite side = 16cm/2 = 8 cm

We are to find Angle s, but it is split into 2

So we represent the half as x

The Trigonometric function we are using is Sine

sin x = Opposite/ Hypotenuse

sin x = 8/12

sin x = 2/3

x = arc sin(2/3)

x = 41.810314896°

Remember in the question, we are to find s.

s = x° × 2

s = 41.810314896 × 2

s = 83.620629792

To 1 decimal place

s = 83.6°

c) From the above diagram, we are to find the Opposite side represented by x

Our triangle is split into two equal halves

Adjacent side = 2cm

Angle θ = 36°/2 = 18°

We are using Trigonometric function tan to solve for question c

tan θ = Opposite/ Adjacent

tan 18° = Opposite/ 2

Cross Multiply = tan 18° × 2

0.3249196962 × 2

= 0.726542528cm

To one decimal place,

x = 0.7cm

You might be interested in
Equation (in vertex form) for a parabola opening upward, shifted 7 units right and 4 units down
ladessa [460]
Right= negative. Down=negative. Answer: (-7-4)
6 0
3 years ago
Carter can bake 11 cookies with each scoop of flour. With 4 scoops of flour, how many cookies can Carter bake?​
VMariaS [17]

Answer:

41

Step-by-step explanation: 11 coookies per cup of flour. 4 cups of flour. 11 x 4 = 41

5 0
3 years ago
Read 2 more answers
Help pls its been 30 minutes
Elina [12.6K]

Answer:

probability = 6/7

Step-by-step explanation:

a+b+c= 30 students

there are 35 students in total.

=30/35

30/35 fully simplified = 6/7

the probability that a student earns a grade of A, B, or C is 6/7.

also, 6/7 as a decimal rounded the nearest hundreth is 0.86, FYI.

6 0
3 years ago
The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all en
inessss [21]

Answer:

76

Step-by-step explanation:

so first the equation for the situation has been given which is

194=1/2x + 2x - 16

now you can just solve since it's a linear equation

194=2.5x -16

take 16 to the other side to get

210=2.5x

solve to get x (adult price)

which is 84

remember the. child's price is 8 less

84-8=76

4 0
2 years ago
5+(−4)+(−7)+2 jijujuijuijuijujijuijuijuijiji
Maurinko [17]

Combine the terms. Note that: one positive and one negative sign results in a negative sign.

Simplify: 5 + (-4) = 5 - 4 = 1

1 + (-7) = 1 - 7 = -6

-6 + 2 = -4

-4 is your answer

~

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is 28% of 70? Also, 0.9% of 54? Thank you in advance!
    15·1 answer
  • HELP ME PLEASE WILL GIVE BRAINLIEST
    14·2 answers
  • A cable is attached to the top of a 28-foot utility pole. The cable is fastened to the ground at a point 21 feet from the base o
    15·1 answer
  • A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?
    10·2 answers
  • Solve the system of equations by substitution.
    15·1 answer
  • Which is the graph of g(x)=10/x
    15·2 answers
  • Least to greatest djjzhxjxhxjxjx
    14·1 answer
  • Does anyone have the answer key to these proofs? They are Mrs. E Teaches Math introductory proofs. There are 14 total. I've done
    10·1 answer
  • A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 16 gallons of water. Which table represents the re
    7·1 answer
  • Give the quadratic function a graph for the function f (x)= -(x-3)^2-2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!