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Fudgin [204]
4 years ago
11

What is the answer to this question

Mathematics
1 answer:
BartSMP [9]4 years ago
6 0
It's not B, because undefined is when the slope is a number over zero, but in this case, 0 is over a number, so yeah the answer is c.

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Given 1+cosx\sinx+sinx\1+cosx=4, find a numerical value of one trigonometric function of x.
Len [333]

Answer:

Option d. sin(x)=\frac{1}{2}

Step-by-step explanation:

<u><em>The complete question is</em></u>

Given (1+cosx)/(sinx) + (sinx)/(1+cosx) =4, find a numerical value of one trigonometric function of x.

a. tanx=2

b. sinx=2

c. tanx=1/2

d. sinx=1/2

we have

\frac{1+cos(x)}{sin(x)}+\frac{sin(x)}{1+cos(x)}=4

Find the common denominator and adds the fractions

\frac{(1+cos(x))^2+sin^2(x)}{(1+cos(x))sin(x)}=4

Expanded the numerator

\frac{(1+2cos(x)+cos^2(x)+sin^2(x)}{(1+cos(x))sin(x)}=4

Remember that

sin^2(x)+cos^2(x)=1 ----> trigonometric identity

substitute

\frac{1+2cos(x)+1}{(1+cos(x))sin(x)}=4

\frac{2+2cos(x)}{(1+cos(x))sin(x)}=4

Factor 2 in the numerator

\frac{2(1+cos(x))}{(1+cos(x))sin(x)}=4

Simplify

\frac{2}{sin(x)}=4

sin(x)=\frac{1}{2}

7 0
3 years ago
Solve the inequality. Graph your solution. $$ - 5.3 x &gt; 21 |
kobusy [5.1K]

The solution to the inequality - 5.3 + x > 21 is x > 26.3

In mathematics, inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions. In other words, it is a relationship between two expressions or values that are not equal to each other. It is used generally used to compare two numbers on the number line by their size.

In order to solve the given inequality - 5.3 + x > 21, add 5.3 both sides.

- 5.3 + x + 5.3 > 21 + 5.3

x > 26.3

The solution means that the value of x is greater than 26.3. The solution is graphed on a number line.

Learn more about Inequality:

brainly.com/question/25275758

#SPJ4

4 0
1 year ago
Solve the following exponential equations.<br> 10^(3x−5) = 7^x
zalisa [80]

Answer:

x = 2.3202

Step-by-step explanation:

Given equation:

10^{(3x-5)} = 7^x

on taking log both sides, we get

\log(10^{(3x-5))} =\log(7^x)

now,

using the property of log function

log(aᵇ) = b × log(a)

therefore,

we get

(3x-5)log(10) = xlog(7)

now,

log(10) = 1

and

log(7) = 0.84509

thus,

( 3x - 5 ) × 1 = 0.84509x

or

3x - 0.84509x - 5 = 0

or

2.15491x = 5

or

x = 2.3202

4 0
3 years ago
Need help on all 3 , it’s very appreciated
Sergio [31]

For number eight the answer is 7 and 1/2

For number nine it is 16/24 = 2/3 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction

For number 10 the least common denominator of 8/15 is 120, and for 7/24 it is 168

5 0
3 years ago
Find the measure of angle J, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole de
8090 [49]

Answer:

34 degrees

Step-by-step explanation:

hope this helps

5 0
3 years ago
Read 2 more answers
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