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
UNO [17]
3 years ago
6

51. Find the length of the unknown side x of this triangle, evaluate your answer to two decimal places.

Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

See work, below.

Step-by-step explanation:

The radius of this circle is 10 and so the diameter is 20.  The measure of the angle opposite side x is found as follows:

                      adj side

 cos theta = ------------------- = 18/20.  Find theta:

                      hypotenuse

theta = arccos 18/20 = 0.451 radian.

Now use the sine function to find x:

                                          x                       x

sin 0.451 radian      = ------------------- = ------------- = 0.651

                                    hypotenuse          20

which results in x = 20(0.651) = 13.02

x = 13.02 units

I should have used the Pythagorean Theorem up front.

18² + x² = 20² becomes x² = 400 - 324 = 76, and so x = √76 ≠ 8.72

You might be interested in
Mathhhh helppppppppppppppppppp
Salsk061 [2.6K]
4. C)If two figures are congruent, then they are similar.
If they are congruent them shape and size are the same and hence they are similar

5. Ratio 4/3 smaller side is 21
Multiply to find large side
4/3×21= 28ft D)

6. Width went from 24 to 3 in divide to get ratio
24/3 =8 now divide the length by 8 to find the postcard length
32/8= 4 in A)

8. If they are similar you need to find the ratio y reduces from 8 is similar to 6 so link those 6/8
This is your ratio you can simplify it to 3/4 now y/6 should also = 3/4
Y/6=3/4
Y=18/4= 4.5 C)

9.C)DC

8 0
3 years ago
Read 2 more answers
Area of perimeter of composite figures puzzle question B.
Soloha48 [4]

Area and perimeter of figure be: 562.08 m² and 123.68 m

<h3>What is Area and perimeter?</h3>

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The figure comprises of a parallelogram and semicircle.

1. For Area

Area of parallelogram = base x height

                                     = 24 x 14

                                     = 336 m²

Area of semicircle = (π x r²)/2

                               = (3.14 * 12 * 12)/2

                              = 226.08 m²

Total Area of the figure = 336+ 226.08 =562.08 m²

2. Perimeter

Perimeter of parallelogram=  2 (a+b)

                                             = 2 (19 +24)

                                            = 86 m

Perimeter of semicircle= π * r

                                      = 3.14 * 12

                                     = 37.68 m

Total Perimeter of the figure= 86 + 37.68 = 123.68 m

Learn more about perimeter and area is:

brainly.com/question/11957651

#SPJ1

4 0
2 years ago
A farmer finds there is a linear relationship between the number of bean stalks, nn, she plants and the yield, yy, each plant pr
Alex

The linear relationship in the form y =  y = 3n + 72

What is  linear relationship?

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.

<h3>According to the given information :</h3>

Each plant generates 34 oz of beans when she plants 30 stalks, and 33 stalks results in 33 oz of beans per plant, according to the information we have provided.

Equation 1 using data 1:

                                    y = mn + b

Equation 1 using data 1:

                                    30 = 34m + b

Equation 2 using data 2:

                                     33 = 33m + b

Subtract equation 1 from equation 2:

                               33 - 30 = 34m + b - 33m - b

                                     3 = m

                                      m = 3

Rearrange equation 1 to solve for b:

                                    b = 34(3) - 30

                                      b = 102 - 30

                                      b = 72

Therefore the equation becomes:

                                     y = 3n + 72

The linear relationship in the form y =  y = 3n + 72

To know more about linear relationship visit:

brainly.com/question/28158670

#SPJ4

5 0
2 years ago
Amy wants to save up money for a prom dress. Her dress costs $238. She only has $45. How much money does she need to get her dre
Vitek1552 [10]

Answer:

193

Step-by-step explanation:

All you do is 238 - 45 and its 193

4 0
3 years ago
Read 2 more answers
A grocery store advertises 4 pounds of apples for $6.00.
nika2105 [10]

Answer:

1 pound of apples costs $1.50; Use that to solve the other problems.

a. 1.50 * 3 = $4.50

b. 6 / 4 = $1.50

c. $1.50 * 40 = 60lbs


Please mark brainliest. Have a nice day!

7 0
4 years ago
Read 2 more answers
Other questions:
  • 90 POINTS| PLEASE ANSWER ASAP|
    14·1 answer
  • Justin is paid $7.00 an hour and also earns a 20% commission on any sales he makes. In one week, if he worked 40 hours and had $
    7·1 answer
  • Solve the following equation<br><br> x+5=12
    5·2 answers
  • 18=x/3+6<br><br> Can someone help me how to solve this?
    6·2 answers
  • The sum of three consecutive odd numbers is 183. What is the second number in the sequence?
    5·1 answer
  • What is the solution to this system of equations?
    14·1 answer
  • Help please! I don't get this.​
    15·2 answers
  • Alexander is a stockbroker. He earns 13​% commission each week. Last​ week, he sold ​$5,300 worth of stocks. How much did he mak
    14·2 answers
  • Please help me I will give you extra points and whoever the first one to answer I mark you with the brain thing. 10
    13·1 answer
  • Document shows question.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!