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2 years ago

A) square root 6

Mathematics

2 answers:

babunello [35]2 years ago

7 0

Answer:

6 square root 2

Step-by-step explanation:

Vesna [10]2 years ago

3 0

sin(45degrees) or BC/AB is 1/sqrt2(that's the value of sin45 degrees I recommend you to memorize this.)

x/12=1/sqrt2

x*sqrt2=12

x=12/sqrt2

Now rationalize this fraction to make the answer more formal.

x=12sqrt2/2(I multiplied both top and bottom by sqrt2)

Now simplify

x=6sqrt2

Question done! answer is C 6 square root of 2

Hope this helped any questions just put them in the comments.

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The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.

Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

Year 1

x (1 + 20%)
x (1.2)
1.2x

Year 2

1.2x (1 + 25%)
1.2x (1.25)
1.5x

Year 3

1.5x (1 + 30%)
1.5x (1.3)
1.95x

Year 4

1.95x (1 + 10%)
1.95x (1.1)
2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0

1 year ago

How many boys are in the choir

Dafna11 [192]

9514 1404 393

Answer:

D. 210

Step-by-step explanation:

If b is the number of boys in the choir, the ratio of boys to girls is ...

b/150 = 7/5

b = 150(7/5) = 30(7) = 210

There are 210 boys in the choir.

8 0

2 years ago

An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob

melomori [17]

Answer:

$26.5265$

Step-by-step explanation:

Confidence Interval

When the population standard deviation $\sigma$ is known, the formula for a confidence interval for a population mean $\bar x$ is:

$\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}$

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

$\bar x=28.2,\ \sigma=2.7, \ n=10$

Calculating the confidence interval

$\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}$

$\displaystyle 28.2 \pm 1.6735$

Or, equivalently

$26.5265$

6 0

3 years ago

If a 12 ounce bag of popcorn at the theater cost $5.50. How much would a 30 ounce bag cost? $10.00

Kaylis [27]

Answer:

I think it’s C I’m not sure I seen a question like this before

Step-by-step explanation:

4 0

2 years ago

Use the coordinate grid to determine the coordinates of point A;

faltersainse [42]

Answer:

Step-by-step explanation:

The coordinates of point P are (-1.4,0.6)

Step-by-step explanation:

We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.

that means each grid has a value of 0.2.

" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "

As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.

According to the given information P lies 7 grid lines to the left of y-axis.

i.e. it has x-value -7×0.2= -1.4

and 3 grid lines above the x-axis i.e. it has y-value:

y-value= 3×0.2=0.6

Hence, the coordinates of Point P are (-1.4,0.6).

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8 0

3 years ago

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