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
coldgirl [10]
3 years ago
9

Solve for x. Round to the nearest hundredth.

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°

The length of the one leg of the triangle is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting the values, we get;

sin \ 42^{\circ}=\frac{x}{8}

Multiplying both sides of the equation by 8, we get;

sin \ 42^{\circ}\times8=x

Simplifying, we get;

0.669 \times 8=x

      5.352\approx x

Therefore, the value of x is 5.35(app.)

Hence, Option A is the correct answer.

You might be interested in
Maya visits the movie rental store. On on wall, therear 6 DVDs on each of 5 shelves. On other wall, there are 4 DVDs on each of
Brrunno [24]
All together there are 46 dvds

5 0
3 years ago
100 POINTS
ivann1987 [24]

Step-by-step explanation:

1. k = 76°

2. r = 25cm

3. as the drawing attached

one pair of parallel lines : AB and DC

one pair of equal angles : <em>L</em><em> </em>A and <em>L</em><em> </em>D

4. (7²× 3`¹)⁴×7^5 / (3² × 7^(-6))³

= (7^8 × 3`⁴)×7^5/ (3² × 7^(-6))³

= (7^13 × 3`⁴)/ (3^6 × 7^(-18))

= (7^(31) × 3^(-10))

= 7^31 / 3^10

3 0
3 years ago
What value of x makes the proportions true?
Marianna [84]
The answer is 9.
6x4=24
?x4=36
3 0
3 years ago
Read 2 more answers
Draw a bar model that shows how the number of hour in March compares with the number of hours in Feburary this year.
babunello [35]
You have to actually draw one

5 0
3 years ago
azul is planting a vegetable garden. he is using a bag of marbles to determine how many of each veggie to plant. his bag contain
kaheart [24]
1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
 P(x)=80/200
 P(x)=0.4

 3. This problem can be represented by a binomial distribution, where:

 P=0.4
 q=1-P=0.6
 n=50

 4. The expect value in a binomial function is written as below:

 E(x)=nxP
 E(x)=50x0.4
 E(x)=20

 The answer is: He can expect 20 zucchini.
3 0
3 years ago
Read 2 more answers
Other questions:
  • A bookshelf is 3 1/2 feet long if each book to be placed on the shelf is 2 1/4 inches wide, how many books can fit?
    10·2 answers
  • What is the equation of the line from the table shown? x -1 0 1 y 6 4 2 Question 3 options: y = 2x + 2 y = 1/2 x + 2 y = 1/2 x +
    14·1 answer
  • In interval notation the set {x|x&gt;0} is written
    5·1 answer
  • Helppppppppppppppppppppppppppppppppppppp
    8·2 answers
  • Math question! <br> please help ASAP!
    8·1 answer
  • Assume that y varies inversely with x. if y = 16 when x = 1/2, find y when x=32​
    14·1 answer
  • Lin says that the inequalities h&gt;150 and h&lt;160 describe her height in centimeters. what do the inequalities tell us about
    6·1 answer
  • When using the formula P + 1 you are looking for
    9·1 answer
  • If someone could help me out thank u!
    14·1 answer
  • Drag the tiles to the correct boxes to complete the reasoning of the proof. Not all tiles will be used.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!