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
masha68 [24]
3 years ago
13

Find the value of x.

Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

18.0

Step-by-step explanation:

==>Given:

Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

==>Required:

Value of x to the nearest tenth

==>Solution:

Using the Cosine rule: c² = a² + b² - 2abcos(C)

Let c = x,

a = 16

b = 30

C = 30°

Thus,

c² = 16² + 30² - 2*16*30*cos 30°

c² = 256 + 900 - 960 * 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

You might be interested in
Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than 2.5 times the number of c
oksian1 [2.3K]

Answer:

50

Step-by-step explanation:

I'm sorry but your missing the questions but I found a close answer! Let A be the number of cards Alan has B be the number of cards Bill has C be the number of cards Calvin has Alan had 11 less than 2 1/2 times the number of cards bill has. is 2.5 Alan is 2.5 of bill has minus 11 A=2.5B -11 Calvin has 1 more than 1 1/2 times the number of cards bill has. is 1.5 Calvin is 1.5 of bill has plus 1 C=1.5B + 1 Alan and Calvin have the same number of cards So A=C WE plug in A  and C equations and solve for B 2.5B -11 = 1.5B + 1 (subtract 1.5B on both sides) 1B -11 = 1 (Add 11 on both sides) B = 12 If Alan and Calvin have the same number of cards, the number bill has is 12 The number of cards Alan and Calvin each have is 19 Total cards = 12 + 19 + 19 = 50 If Alan, bill, and Calvin have all the cards in the deck then the deck has 50 cards.

3 0
2 years ago
The coefficient of determination of a set of data points is 0.93 and the slope of the regression line is -5.26. Determine the li
skad [1K]

Answer:

- 0.964

Step-by-step explanation:

Given that Coefficient of determination (R^2) = 0.93

Slope of regression line = - 5.26

The linear correlation Coefficient =?

The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).

Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2

Therefore,

R = √R^2

R = √0.93

R = 0.9643650

R = 0.964

However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;

Therefore, R = - 0.964

6 0
2 years ago
Which choices are real numbers? Check all that apply.
Nonamiya [84]

Answer:

Step-by-step explanation:

Exponents with fractions in them are really just radical notation in a different form. You've probably seen the square root sign.

That can be written as 

x^(1/2)

...and when you take an even root of a negative number, there is no real answer. (2 is an even number).

Looking at the answer choices here, we can see that B and D use even roots, so they will give non-real answers.

So, A and C are the answer choices to select.

5 0
3 years ago
Read 2 more answers
The Hawks are starting a babysitting business. They charge an initial deposit of $25 and a rate of $4 an hour. A linear model is
Sauron [17]
What’s the question so I can answer it.
7 0
3 years ago
To solve: x + 8 = 40
Scorpion4ik [409]

Well, to solve, you would subtract 8 from both sides, which means x would end up equaling 32.

X=32

4 0
3 years ago
Read 2 more answers
Other questions:
  • How manyseconds in a quarter day?
    10·1 answer
  • Help! 20 points svhs
    11·2 answers
  • . A team of divers assembles at an elevation of -10ft relative to the surface of the water. Then the team dives at a rate of -50
    7·1 answer
  • my favorite songstress gives away 25 percent of the sales of her sighnature frangrance collection to her charity.last month her
    15·1 answer
  • Find the slope of the line through each pair of points.
    10·1 answer
  • Don has 13 balls he has now 18 balls how many more does he have?
    5·2 answers
  • Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!
    14·2 answers
  • Can anyone help me with this
    6·1 answer
  • BRAINLIEST asap solve the problem.​
    7·1 answer
  • What is the length of the unknown leg in the right triangle?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!