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
astraxan [27]
3 years ago
5

Find the value of each variable. Answer in simplest radical form.

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

x = 5√3; y = 5

Step-by-step explanation:

Finding y:  The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:

sin 30° = 1/2 = y/10

                                 

Solve the equation of ratios

1        y

-- = -----  using cross-multiplication first:  2y = 10 → y = 5

2     10

We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:

x² + y² = 10² = 100  →  x² = 100 - y²  =  100 - 5²  = 75

If x² = 75, then x = ±√75 = ± (√25)·(√3)   →  ±5√3

Since lengths are always positive,   take x = 5√3 as the answer.

You might be interested in
Grace's father gave her a nickel. If she had 64¢ before her father gave her the nickel, how much money did she have after gettin
emmainna [20.7K]
69 cents. 64 + 5 is 69. 
3 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the following points? <br> (-1,-2) and (-3,-4)
iragen [17]

Answer:

y = x - 1

Step-by-step explanation:

Find the slope:

(-4 - (-2))/(-3 - (-1))

-2/-2 = 1

y = x + b

Plug in one of the points:

(-1,-2)

-2 = -1 + b

b = -1

y = x - 1

4 0
2 years ago
During a huge snowstrom in the white mountains last year, it snowed 300 centimeters in a week.How much did it snow in meters?
OLga [1]
3 Metres; because for each 100 centimetres there is one metre. With centi- being the prefix for 10^-2 in the metric system.
3 0
3 years ago
last year, debra opened an investment account with $7600. At the end of the year, the amount in the account had increased by 29.
-BARSIC- [3]

There are $9842 in her account at the end of last year.

Step-by-step explanation:

Given,

Amount in account = $7600

Increment by the end of year = 29.5%

Amount of increase = 29.5% of amount in account

Amount of increase = \frac{29.5}{100}*7600

Amount of increase = 0.295*7600 = $2242

The increase is $2242.

Amount after increase = 7600 + 2242 = $9842

There are $9842 in her account at the end of last year.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/10414011
  • brainly.com/question/10483199

#LearnwithBrainly

5 0
3 years ago
Anyone know this one
Kryger [21]
The answer to this is B. y=-x-5.
6 0
3 years ago
Other questions:
  • Which property is illustrated by the statement (4+6.1)+7=4+(6.1+7)
    6·2 answers
  • What is the pattern displayed in the scatterplot between the number of cups of hot tea sold and the air temperature?
    5·1 answer
  • An auditorium has 644 seats each row has 23 seats I mean how many rows are in the auditorium use estimation to show that your an
    11·1 answer
  • How much more is 1.8 • 10^11 greater than 7.2 • 10^10
    14·1 answer
  • What is 500 divided by 90? (Don't respond if you dont want alot of notifications)
    10·2 answers
  • Help me plssss pretty pls
    11·2 answers
  • Question 7 of 10
    12·1 answer
  • What is the value of x?
    15·2 answers
  • Here is a list of numbers:<br> -20.-20, 2,7.-14, -4,-17, 13,7<br> State the median
    12·2 answers
  • The length of segment AB is 5 units. What is the length of segment A'B'?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!