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3 years ago

to rationalize the denominator of 5 - sqrt. 7/ 9 - sqrt. 14, you should mulitply the expression by which fraction?

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

Answer:

9+sqrt(14)

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9+sqrt(14)

Step-by-step explanation:

When we rationalize the denominator, we need to multiply by the conjugate

The denominator has a-sqrt(b), we multiply by a+sqrt(b)

Since we have 9 -sqrt(14), we need to multiply by 9+sqrt(14)

What we do to the bottom, we do to the top, so multiply by 9+sqrt(14) over 9+sqrt(14) which is equal to 1. This does not change the equation.

9+sqrt(14)

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9+sqrt(14)

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3 years ago

The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same

masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. $\mu_1 = 64$ $\sigma_1=2.7$

Since , $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).

[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

$z=\dfrac{72-64}{2.7}=2.96296296\approx2.96$

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. $\mu_2 = 69.3$ $\sigma_2=2.8$

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

$z=\dfrac{70-69.3}{2.8}=0.25$

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0

3 years ago

Please HELP me!! Will choose brainliest (:

Rzqust [24]

Answer:

yes

Step-by-step explanation:

There are several ways to go at this.

My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.

Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.

You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.

(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0

The value of h(5) is zero, so x-5 is a factor of h(x).

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3 years ago

Evaluate tan45/sin30 . In your final answer, include all calculations.

Maslowich

From the identity $\displaystyle{ \tan x= \frac{\sin x}{\cos x}$ , and from the values:

$\sin45^{\circ}=\cos45^{\circ}= \frac{ \sqrt{2}}{2}$ ,

we have: $\displaystyle{ \tan 45^{\circ}= \frac{\sin 45^{\circ}}{\cos 45^{\circ}}= \frac{ \frac{ \sqrt{2}}{2}}{\frac{ \sqrt{2}}{2}} =1$ .

We also know that $\sin30^{\circ}= \frac{1}{2}$ .

Thus, $\displaystyle{ \frac{\tan 45^{\circ}}{\sin30^{\circ}} = \frac{1}{\frac{1}{2}}=2.$

Answer: 2

8 0

3 years ago

Explain how to use 8×5=40 to find 8×6.

Zina [86]

Answer:

Well there are many different ways to find 8x5=40 to 8x6=__

You could add 8 to 40 and get 48.

or you could draw pictures to represent the 48.

8x6=48

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3 years ago