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
Lisa [10]
2 years ago
14

The diagram shows a right-angled triangle.

Mathematics
1 answer:
alex41 [277]2 years ago
7 0

Answer:

h = 20.3 cm

Step-by-step explanation:

Apply trigonometric ratio formula to find h.

Reference angle = 40°

Opposite side length = 17 cm

Adjacent side = h

Thus:

Tan (40) = 17/h

h × tan (40) = 17/h × h (multiplication property of equality)

h × tan(40) = 17

(h×tan(40)/tan(40) = 17/tan(40) (division property of equality)

h = 20.3 cm (1 decimal place)

You might be interested in
The surface area of this cube is 96 square meters. what is the value of y?
ELEN [110]
The formula for finding the surface area of a cube is A=6y^2 where y is the side length. we know a=96. so we just isolate y.
96/6= 6y^2 / 6
16=y^2
sqrt (16) = sqrt(y^2)
4=y

So y is 4

5 0
3 years ago
Read 2 more answers
You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your
dusya [7]

Answer:

Step-by-step explanation:

1. So there is two bread options but let's ignore that due every option being the same for both bread options.

2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.

3. So with a one in three chance logical meat option and a one two chance cheese option and.

4. Now knowing this it is simple math at this point as simple as \frac{1}{3} x \frac{1}{2}

5. 1 x 1 = 1 and 3 x 2 = 6

6. leading to \frac{1}{6}

4 0
2 years ago
Xyz^(2) if x=2 y=7 and z=-4
Afina-wow [57]

Answer:

-224

Step-by-step explanation:

xyz^2

(2)(7)(-4)^2

14 x -16

-224

8 0
2 years ago
A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of
const2013 [10]

Answer:

2/13

Step-by-step explanation:

add them all up then divide by the yellow

3 0
2 years ago
Which expression uses the distributive property to represent the sum of 39 + 27
aalyn [17]

Answer:

The expression that uses the distributive property to represent the sum of 39 + 27 is 3(13 + 9)

Step-by-step explanation:

Given

Expression: 39 + 27

Required

Express using the distributive property

The distributive property is represented in the form a(b + c)

So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)

Equate these two expressions, we have

a(b+c) = 39 + 27

Factorize the expression on the left hand side

a(b+c) = 3(\frac{39}{3} + \frac{27}{3})

Simplify fraction

a(b+c) = 3(13 + 9)

Compare expression on left hand side with the expression on the right hand side.

Since, they have the same format, then we've arrived at the answer.

Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is 3(13 + 9)

3 0
3 years ago
Other questions:
  • -2(3x + 4) + 7x = 10
    10·1 answer
  • The Triangle Shirtwaist fire: a. resulted in laws that banned all manufacturing in New York. b. occurred during the Uprising of
    11·1 answer
  • Find the missing length to the attached triangle.
    14·2 answers
  • Help please with this problem
    11·1 answer
  • Kelly went on vacation to the Hamptons. She was curious about whether rich people own a lot of TVs, so she went door to door in
    15·1 answer
  • Andrew is cutting a piece of fencing for his yard. How many pieces of fence that are 5 1/3 inches long can he cut from a section
    8·1 answer
  • What is the common ratio of the sequence?
    8·1 answer
  • Which expressions are solutions to the equation 3/4x=15
    13·2 answers
  • While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (3m+13) fireflies and your fr
    9·2 answers
  • Write the inequality shown by the graph with the boundary line. <br><br> y =?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!