What is the length of the hypotenuse?

Answer:

Step-by-step explanation:

Let S be the surface area of the prism

     B be the area the base (right-angered triangle)

     L be the lateral surface area

Formula :

S = 2×B + L

……………………

[tex]B=\frac{12\times 9}{2} = 54[/tex]

[tex]\text{Length \ of \ the \ third \ side}=\sqrt{12^{2}+9^{2}} =15[/tex]

L = 5×(9 + 12 + 15) = 180

S = 2×B + L

S = 2×54+180 = 288 in²

Answer:

............................

Step-by-step explanation:

Answer:

Parallel" means same slope. Our line is y=3x-4 has slope m=3. So, our new line should also have slope m=3; we can immediately eliminated choices C and D.

Step-by-step explanation:

We can write our line y = 3x+b, and we can use the point given (3,2) to solve for b.

2 = 3*3 + b

b = -7

The required line is y = 3x - 7, choice B.

Compare to slope intercept form

parallel lines have equal slope

Equation in point slope form

Option B

The mean, median and mode of the data sets are as follows:

The median is the middle value in a list ordered from smallest to largest.

The mode is the most frequently occurring value on the list.

The mean is the average of the distribution.

Therefore,

1. 1, 2, 3, 4, 5

mean = 1 + 1 + 2+ 3 + 4 + 5 / 6 = 16 / 6 = 2.7

median = 2 + 3 / 2 = 5 / 2  = 2.5

mode = 1

2, 2,3,4,5,6,6

mean = 2+2+3+4+5+6+6 / 7 = 28 / 7 = 4

median = 4

mode = 2 and 6

2,3, 4, 5, 5, 5,6, 6,7

mean = 3+6+7+5+4+5+6+2+5 / 9 = 43 / 9 = 4.8

median = 5

mode = 5

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Answer:

She needs 168 more cels to draw to complete the film sequence

Step-by-step explanation:

120 Cells in 5 seconds

You want 12 seconds.

Ratio (Proportion)

120:5

Lets find the "unit rate" of the proportion.

120/5 = 24

So the unit ratio is 24:1

Now, we can deduce to it being:

120:5

240:10

264:11

288:12

She has 120 done.

So, 288-120 = 168.

She needs 168 more cels to draw to complete the film sequence

The f(x) is shifted 4 units up to g(x) is the correct choice because f(x) is up 4 units from the g(x) option (D) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = cosx

The above function is a parent function.

Transformed function:

f(x) = cosx - 4

As we can see in the graph of, g(x) is shifted 4 units down from the function f(x).

Thus, the f(x) is shifted 4 units up to g(x) is the correct choice because f(x) is up 4 units from the g(x) option (D) is correct.

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Answer: f(x) is shifted 4 units down to g(x)

Step-by-step explanation:

On the fourth day, the prices were marked 4/5, or 80% off based on the systematic markdowns.

A markdown is a reduction in the price of a good.

By offering markdowns, Don's Clothing intends to sell more quantities at reduced prices to customers.

Markdowns

First-day          1/10

Second-day    2/5

Third-day        3/10

Fourth-day = 4/5 (3+1)/(10/2)

Thus, on the fourth day, the prices were marked 4/5, or 80% off based on the systematic markdowns.

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Answer:

area=72

Step-by-step explanation:

A=bh=12·6=72

Answer:

B. The amount of money she saves each week is 100% the correct answer

Step-by-step explanation:

325 is the amount she had

125 is the amoun she adds every week to her savings

Have a nice day! :)

Answer:

C

Step-by-step explanation:

Answer:

C

Breh its right their!