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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

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Answer:

D

Step-by-step explanation:

4 0
2 years ago
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noname [10]

Answer:

x=-6

Step-by-step explanation:

−5x+10=40

−5x+10−10=40−10

−5x=30

−5x/5=30/5

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6 0
2 years ago
Please help me with these 2 question.
maks197457 [2]

Answer:

Step-by-step explanation:

- sqrt(39) and square root 47

are the limits. The - square root of 39 is smaller than - 6. So the integer to use here is - 6

sqrt (47) = 6.686. Here the square root is larger than the closest integer.

The integer to use is 6

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4 0
2 years ago
I NEED HELP ASAP First, find the increasing functions. Then, classify each increasing function as having a larger or a smaller u
aev [14]

Answer:

In descending order the function are represented as D>F>A>B>E>C

Step-by-step explanation:

Whether it is increasing or is the larger or smaller number it all depends on its slope.

Equation of line y=m(x)+c,and m is the slope.

So we will work with the slopes of each equations and arrange them in descending order.[Greater to larger number sequence]

Slopes are \frac{4}{3}, \frac{5}{4}, \frac{-2}{1},\frac{7}{4}, \frac{6}{5}, \frac{8}{5}

We will equate the denominator by taking LCD of it then multiply numerator and denominator with a fix number which can bring all the denominator same.

LCD of the denominator (1,3,4,5)=60

Example:

\frac{4}{3}=\frac{4\times 20}{3\times 20}= \frac{80}{60}

Similarly we will equate all the fractions.

So the slope are \frac{80}{60}, \frac{75}{60}, \frac{-120}{60},\frac{105}{60}, \frac{72}{60}, \frac{96}{60}

In descending order the numbers are:

\frac{105}{60},\frac{96}{60}, \frac{80}{60}, \frac{75}{60},\frac{72}{60},\frac{-120}{60}

According to the option the right choice are as follows:

D>F>A>B>E>C

7 0
3 years ago
?/1 A box contains 5 red marbles and 7 green marbles. Find the probability of drawing a green marble and not returning it to the
Lady bird [3.3K]

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

6 0
2 years ago
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