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sasho [114]
3 years ago
7

Find the surface area of the figure

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:55in^2

Step-by-step explanation:Divide the figure into 2 4x7 on the rectangle with it's base touching the bottom and 3x9 on the other one 3x9=27 4x7=28 28-27=55

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Question: "If y > 3, what is the value of n ?"
iris [78.8K]

Answer:

y-3

Problem:

What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

xy-3=(xy-y)+remainder *distributive property

Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

7 0
3 years ago
The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents t
Archy [21]

Answer:

\boxed{x^2=-8y}

Step-by-step explanation:

(a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y

3 0
3 years ago
Using the Laws of exponents, simplify the following problem.
den301095 [7]
\frac{4 {}^{4} }{ {4}^{ - 8} ({4}^{ - 14}) } = \frac{4 {}^{4} }{ {4}^{ - 22 } }

(4^4)/(4^-22)
4^(4-(-22))
4^26


Follow my Account.
7 0
3 years ago
A set of quiz scores is shown in the histogram below. The mean of the data set is 20.2, and the (population) standard deviation
Neko [114]

Answer:

13

Step-by-step explanation:

As the mean is 20.2 and the standard deviation is 2.4

The range within the first standard deviation is

(17.8,22.6)

This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.

Within this range there are

2+3+4+3+1=13

5 0
3 years ago
What is the formula for the system of equation usign the substitution?
olga_2 [115]
We can substitute<span> y in the second </span>equation<span> with the first </span>equation<span> since y = y. The solution of the </span>linear<span> system is (1, 6). You can use the </span>substitution method<span> even if both </span>equations<span> of the </span>linear<span> system are in standard form. Just begin by solving one of the </span>equations<span> for one of its variables.</span>
7 0
3 years ago
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