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
lisabon 2012 [21]
3 years ago
6

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Mathematics
1 answer:
velikii [3]3 years ago
5 0
Use trigonometry. You will use cosine. make sure calculator is in degrees.
cos(22)=x/11
.927=x/11
X=10.199
You might be interested in
Ellie and Jamie like to bake cookies. Ellie baked 24 chocolate chip cookies, and Jamie baked p peanut butter cookies. Together t
kirza4 [7]

Answer:

C) p + 24 = 56

Step-by-step explanation:

The total number of cookies baked = Number of cookies Ellie baked + Number of cookies Jamie baked

Ellie baked 24 chocolate chip cookies.

Jamie baked p peanut butter cookies.

Total of 56 cookies.

Hence:

56 = p + 24

Therefore, the equation that can be solved for p to find the number of cookies Jamie baked is

p + 24 = 56

Option C is the correct option

7 0
2 years ago
Find the product.<br> (3n - 1)(7n-7)
slega [8]

Answer:

21n² - 28n + 7

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3n(7n - 7) - 1(7n - 7) ← distribute both parenthesis

= 21n² - 21n - 7n + 7 ← collect like terms

= 21n² - 28n + 7

6 0
2 years ago
Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)
Bess [88]

Answer:

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x + C.</em></u>

Step-by-step explanation:

<u><em>First step we aplicate distributive property to the function.</em></u>

<u><em>5*(x+a)*(x+b)= 5*[x^{2}+x*b+a*x+a*b]</em></u>

<u><em>5*[x^{2}+x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>

<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>

<u><em>∫^5*[x^{2}+x*(a+b)+a*b]*dx, apply integral´s property</em></u>

<u><em>5*[∫x^{2}dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>

<u><em>5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x</em></u>

<u><em>Finally we can write the function F(x)</em></u>

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x ]+ C.</em></u>

4 0
3 years ago
Lainey is sliding down a water slide that is 420 feet long at a rate of 42 feet per second. How long will it take Lainey to trav
BARSIC [14]

Answer:

10 seconds.

Step-by-step explanation:

420/42 = x amount of seconds.

It took Lainey 10 seconds.

3 0
3 years ago
Other questions:
  • Tricia made a circular mat from a square piece of cloth as shown in the diagram below.
    13·1 answer
  • Which expression is a factor of x2 – 52 – 6?
    5·1 answer
  • Identify the surface area of the composite figure. HELP PLEASE!!
    10·1 answer
  • Justin is reading a book that has 276 pages. He already read some pages of it last week. He plans to read 20 pages tommorow. By
    8·2 answers
  • FIRST CORRECT ANSWER WILL GET BRAINLIEST!!!
    13·1 answer
  • Jameer paints one wall of a house in 3 days. june paints two walls of a house in 5 days. if the two of them work together to pai
    7·1 answer
  • Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9?
    5·1 answer
  • Functions h and k are inverse functions, and both are defined for all real numbers using this relationship, what is the value of
    10·1 answer
  • Please help me!!!!!!!!
    12·2 answers
  • Name the shape.<br>Help nowwww​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!