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
irga5000 [103]
3 years ago
12

Find the value of each variable:

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

5√3 = b

5 = d

10√3 = a

15 = c

Step-by-step explanation:

Sin60° = opp/hyp

sin60° = b/10

10sin60° = b

5√3 = b

Cos60° = adj/hyp

Cos60° = d/10

10Cos60° = d

5 = d

Sin30° = opp/hyp

Sin30° = 5√3/a

a = 5√3/Sin30°

a = 10√3

Tan30° = opp/adj

Tan30° = 5√3/c

c = 5√3/tan30°

c = 15

You might be interested in
Write the ratio as a fraction in simplest form. 32:42
maks197457 [2]
16/21 is your answer

You can take a 2 out of both numbers to get your answer

I hope this helped! :)

3 0
3 years ago
Read 2 more answers
a farmer has one square mile of land if he divides his land into square fields that are half mile long and half my wife how many
jok3333 [9.3K]
He would have four fields. Since the area of 1/2 milex1/2 mile is 1/4, and 1x1 is 1, so 4 fields make up the land.
5 0
2 years ago
Someone must have beaten me here. Devora thinks, dismayed by the empty treasure chest. Then, just as she's about to close the li
Sidana [21]

Answer:

she turned 82 degrees.

Step-by-step explanation:

Suppose, the unknown angle is A

Now, we know that according to the sine law ,

the ratio of side of a triangle and the sine value of the angle opposite to that side is same . It says that,

if a triangle has 3 sides a,b and c and 3 angles A,B,and C and they are opposite to the sides respectively then,

a/SinA=b/sinB=c/SinC

check the image below in attachment.

From the diagram at attachment.

here , angle A is required.

given, angle C= 30

side b=89 m and c= 48 m

sin law says a/sinA=b/sinB=c/sinC

first we take , b/sinB=c/sinC

or, 89/sinB= 48/sin30

or, sinB=( 89×0.5)/48 =0.92

or, B=68

we know, in every triangle , the sum of 3 angles of a triangle is 180

then, A+B+C=180

or, A=180-B-C= 180 - ( B+C)

=180-(68+30)

or, A = 82

therefore , the required angle is 82 degree.

she turned 82 degrees.

8 0
3 years ago
Evaluate the expression below x/2 +8y-15 for x = -12 and y=3
jeka94
<span>(x/2)+8y-15 = (-12/2)+8*3-15 = -6+24-15 = 33</span>
3 0
3 years ago
Order from least to greatest<br><br>457.2<br>415.138<br>828.142<br>452.018
Ratling [72]
415.138;452.018;457.2;828.142
5 0
2 years ago
Read 2 more answers
Other questions:
  • 2 centimeters on the map represents 100 kilometers
    10·1 answer
  • An investment of $750 will be worth $1500 after 12 years of continuous compounding at a fixed interest rate. What percent is the
    14·1 answer
  • 8 and 3/15 - 4 and 3/15
    5·2 answers
  • What is 3x2- 2x -7 = 0
    12·1 answer
  • I was super busy today, and didn't have time to finish my math homework. I really hope you guys can help me, as I need the point
    15·1 answer
  • What is the standard deviation of the data set? 7, 3, 4, 2, 5, 6, 9 Round the answer to the tenths place.
    6·2 answers
  • A top-fuel dragster ran a 1/4-mile (1320 ft) race. It had traveled 1305.48 feet after 3.58 seconds and it traveled the entire 13
    5·1 answer
  • Don't mind this.......
    15·2 answers
  • 2(3-q)+5=9 solve for q
    14·1 answer
  • What is log(21x2) written in expanded form?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!