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postnew [5]
3 years ago
13

Please answer this question!! 30 points and brainliest!

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

2 out of 8 or 25 %

Step-by-step explanation:


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Prove that 1/1+sinA -1/1+sinA =2tanAsinA​
enyata [817]

Step-by-step explanation:

\frac{1}{1 +  \sin( \alpha ) }  \frac{1}{1 -  \sin( \alpha ) }  \\  \frac{1 -  \sin( \alpha ) + 1 +  \sin( \alpha )  }{(1 +  \sin( \alpha ))(1 -  \sin( \alpha ))  }  \\  =  \frac{2}{1 -  {sin}^{2} \alpha }  \\  \frac{2}{ {cos}^{2} \alpha  } = 2  \:  {sec}^{2}  \alpha

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D-4x%5E%7B2%7D%2B5x" id="TexFormula1" title="f(x)=-4x^{2}+5x" alt="f(x)=-4x^{2}+5x"
JulijaS [17]

Answer:

Domain= (-inf,inf)/(-∞,∞)

Range= (-inf,25/16]

x-intercepts= (0,0), (5/4,0)

y-intercepts=(0,0)

vertex= maximum (5/8,25/16)

8 0
2 years ago
The length of a rectangle is 3 more than the width. If the perimeter of the rectangle is 16 units, find the
pentagon [3]
L = 3x width
2L + 2W = 16 units
2(3W) + 2W = 16 units
8W = 16 units
Width = 2 units
7 0
2 years ago
Suppose the mean height for adult males in the U.S. is about 70 inches and the standard deviation is about 3 inches. Assume men’
nlexa [21]

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

8 0
3 years ago
How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?
nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = \frac{10!}{2!2!2!}

Number of words = \frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}

Number of words = \frac{3628800}{8}

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0
3 years ago
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