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
pshichka [43]
2 years ago
13

Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show you

r work

Mathematics
1 answer:
jasenka [17]2 years ago
3 0
<h3>Answer:   x = 19.7  (choice C)</h3>

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

  • opposite = vertical leg = 8
  • adjacent = horizontal leg = unknown
  • hypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

You might be interested in
How do you solve -2(3x-1)-3=4x+5-x
maria [59]

Answer:

-6x+2-3=3x+5

2-3-5=3x+6x

-6=9x

x=-2/3

4 0
3 years ago
A gerbil cage,priced at $18, is discounted 20% for one week, and then this price is marked up 20%. is the price back to 20% expl
stiks02 [169]
No, it isn't!

first, the discount is 20 percent of 18 dollars, that is 18/5=3.6

this means that during the first week the prize is 18-3.6=14.4

now, the prize is marked up 20 % of 14.4! this is 2.88

so the prize later will be 14.4+2.88, that is 17.28, not 18

what is relevant here is what a number is a percent OF
6 0
3 years ago
If a normal distribution has a mean of 132 and a standard devistion of 20, what is the value that has a z score of 3.6
nika2105 [10]

z = (x - μ)/σ

Substituting given values, you have

3.6 = (x - 132)/20

(20)(3.6) = x - 132 . . . . multiply by 20

72 + 132 = x . . . . . . . . .add 132

204 = x


The value that has a z-score of 3.6 is 204.

4 0
3 years ago
Shawn wants to make the perimeter of the fence in his backyard 2.5 times the size it currently is. What scale factor should he u
gladu [14]

Answer:

a scale factor of 2.5

Step-by-step explanation:

if this was area, you would square. Therfore if it is only perimeter so you only have to multiply by the same number

8 0
3 years ago
Determine which consecutive integers do not have a real zero of f(x) = x^3+5x^2 -x -6 between them.
Verdich [7]

Answer:

(-6, -5).

Step-by-step explanation:

If there is a zero between the integers there will be a change of sign of f(x).

x^3 + 5x^2 - x - 6

f(1) = 1 + 5 - 1 - 6 = -1

f(-1) = -1 + 5 + 1 - 6 = -1

f(2) = 8 + 20 - 2  -6 = 20

There' a change of sign between f(1) and f(2) so there is a zero between (1, 2).

f(-2) = -8 + 20 + 2 - 6= 6

So there is also a zero between -1 and -2. (-2, -1)

F(-4) = 14,  f(-5) = -1  = change of sign so there is also a zero  in (-5,-4)

f(-6) = -36 - no change in sign between -5 and -6.

7 0
3 years ago
Other questions:
  • Subtract 128.7 from 300.1
    9·2 answers
  • The doctor told the mother that the expected weight for the baby for her age was between 20 and 25 pounds. The expected weight m
    13·2 answers
  • Stan wants to start an IRA that will have $250,000 in it when he retires in 25 years. How much should he invest semiannually in
    13·1 answer
  • Before getting to school Benny has a few errands to run Benny has walk 4 blocks to the gallery and 10 block to the museum befor
    10·1 answer
  • It is assumed that the probable random error in taping 100 ft is `0.020 ft. Two distances are measured with this tape with the f
    10·1 answer
  • I don’t get it it’s really hard for me bc I’m not that smart
    11·1 answer
  • The product is 200. Both factors are multiples of 10.
    15·2 answers
  • Choose the graph of this equation.
    14·1 answer
  • What is the answer on this 3abc + bc - a​
    13·1 answer
  • What is the equation of the line that passes through the point (- 1, - 5) and has a slope of -1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!