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3 years ago

6

Find the value of the variables, If your answer is not an integer leave it in simplest radical form.

1 answer:

snow_lady [41]3 years ago

3 0

$sin (60) = \dfrac{x}{12}$

$x = 12 sin(60)$

$x = 12 \times \dfrac{ \sqrt{3} }{2}$

$x = 6 \sqrt{3} \text { (Answer D)}$

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PLEASE HELP!! THANK YOU <3

Natalija [7]

Answer:

what did you need to know :(

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3 years ago

Definition and description of gravity

Goryan [66]

Answer:

1. the force that attracts a body toward the center of the earth, or toward any other physical body having mass.

2. extreme or alarming importance; seriousness.

"crimes of the utmost gravity"

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

6 0

3 years ago

1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the

Musya8 [376]

Answer:

A) 34.13%

B) 15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

$z=\frac{x-m}{s}$

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

$z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0$

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

= 0.5 - 0.1587 = 0.3413

It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

$P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587$

C) Between 80 and 120

$P( 80$

D) less than 80

$P( x < 80 ) = P( z$

E) Between 70 and 100

$P( 70$

F) More than 130

$P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013$

8 0

3 years ago

Twice a number, decreased by 4, is at least 12. <br><br> A.8<br> B.7<br> C.6<br> D.5

podryga [215]

Not sure if im right but pretty sure it’s 8 because 8*2 is 16-4=12

3 0

3 years ago

At a candy store you can pay $16.10 for 7 giant lollipop what would be the cost for 6 lollipops?

Alex Ar [27]

Answer: $13.80 for 6 giant lollipops

Step-by-step explanation: To find the cost of 6 giant lollipops at the candy store, we first need to find the unit price for a giant lollipop.

Unit price means the cost per unit,

in this case, the cost per giant lollipop.

Since we know that it costs $16.10 for 7 giant lollipops, to find the cost

for 1 giant lollipop, we need to 16.10 by 7.

16.10 divided by 7 is 2.3.

This means that each lollipop is $2.30.

Now to find the cost for 6, we multiply

the cost per 1 lollipop by 6.

So we have 2.30 × 6 which is $13.80.

So the cost for 6 lollipops at the candy store is $13.80.

8 0

3 years ago