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
EastWind [94]
2 years ago
14

Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.

Mathematics
1 answer:
just olya [345]2 years ago
7 0

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

You might be interested in
Let the smallest of 4 consecutive odd numbers be 2 n + 1 , where n is an integer. Show, using algebra, that the sum of any 4 con
andrey2020 [161]

Answer:

Expression is 8(n+2)

Step-by-step explanation:

smallest of 4 consecutive odd numbers =2n + 1

consecutive odd integers are found by adding 2 to the any given odd numbers

Thus, 2nd consecutive odd integers  = 2n + 1 + 2 = 2n + 3

3rd consecutive odd integers  = 2n + 3 + 2 = 2n + 5

2nd consecutive odd integers  = 2n + 5 + 2 = 2n + 7

Thus, 4 consecutive odd integers are

2n + 1 ,2n + 3,2n + 5,2n + 7

sum of these numbers are = 2n + 1 +2n + 3 + 2n + 5+2n + 7 = 8n+16

sum of these numbers are = 8(n+2)

Thus, we see that the sum of numbers are 8(n+2)

As, 8 is common for n+2, whatever is value of n, the number will be multiple of 8 .

thus expression is 8(n+2)

7 0
3 years ago
How can i calculate the growth rate of the values below
Grace [21]

Answer:

  12%

Step-by-step explanation:

The equation for the growth is ...

  f(t) = (initial value)×(growth multiplier per period)^(number of periods)

where the growth multiplier is often expressed as a percentage added to 1:

  multiplier = 1+r

  growth rate = r

__

This equation has two unknowns:

  • initial value
  • growth multiplier

In order to find these, you can make use of two of the supplied data points. I like to choose the ones that are farthest apart, as they tend to average out any errors due to rounding.

Clearly, the table tells you the initial value is 210. If you don't believe, you can put the numbers in the equation to see that:

  f(0) = (initial value)×(growth multiplier)^0

  210 = (initial value)×1

  (initial value) = 210

__

Using the last data point, we get ...

  f(7) = 210×(growth multiplier)^7

  464 = 210×(growth multiplier)^7 . . . . . . . . . fill in table value

  2.209524 = (growth multiplier)^7 . . . . . . .  divide by 210

You can solve this a couple of ways. My calculator is able to take the 7th root, so I can use it to find ...

  \sqrt[7]{2.209524}=\text{(growth multiplier)}\\1.119916\approx \text{(growth multiplier)}

Alternatively, you can use the 1/7 power:

  2.209524^(1/7) = (growth multiplier)

Another way to solve this is to use logarithms:

  log(2.209524) = 7×log(growth multiplier) . . . . . take the log

  log(2.209524)/7 = log(growth multiplier) . . . . . divide by 7

  0.04918553 ≈ log(growth multiplier)

  growth multiplier = 10^0.04918553 ≈ 1.11992 . . . . take the antilog

So, our growth multiplier is ...

  1 + r ≈ 1.11992

  r ≈ .11992 ≈ 12.0%

The rate of growth is about 12% in each period.

_____

Collapsing all of that to a single calculation:

  growth rate = (464/210)^(1/(7-0)) -1 ≈ 12.0%

8 0
3 years ago
The function f(x) = square root -x is shown on the graph. Which statement is correct?
EastWind [94]

Answer:

The Domain of the graph is all real numbers less than or equal to 0.


4 0
3 years ago
Read 2 more answers
Evaluate.<br> 8(19−6⋅2)<br> Enter your answer in the box.
Molodets [167]

Answer:

102.4

Step-by-step explanation:

Open the bracket

19-6.2=12.8

8(12.8)

8*12.8=102.4

5 0
3 years ago
Which equation can be used to solve for x in the following diagram?
lions [1.4K]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?
    6·1 answer
  • Solve this equation 3(2x+3)=9
    11·2 answers
  • Complete the table and pattern. Determine the common difference. Write the explicit rule.
    11·1 answer
  • X^2 - 4 <br><br> Find the roots
    15·1 answer
  • PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
    10·2 answers
  • What is the area of the square?
    12·1 answer
  • A city doubles its size every 12 years. If the population is currently 500,000, what will the population be in 24 years?
    14·2 answers
  • The price have changed from $120 to $75. By how many
    12·1 answer
  • A line that passes through the points (-1,-7) and (3,7)
    8·2 answers
  • The circle graph shows the results of a survey of registered voters the day of an election Which Party's Candidate Will Get Your
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!