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choli [55]
3 years ago
10

What is (8x-30)+6x+(2x+10) simplified?

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

16x-20

Step-by-step explanation:

(8x-30)+6x+(2x+10)

8x-30+6x+2x+10

8x+6x+2x-30+10

14x+2x-20

16x-20

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Find the area of the trapezoid to the nearest tenth.
erica [24]

Answer:

2.2 metres squared

Step-by-step explanation:

We need to find the area of this trapezoid.

The area of a trapezoid is denoted by:

A=\frac{(b_1+b_2)h}{2}, where b_1 and b_2 are the parallel bases and h is the height

Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4

Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:

A=\frac{(b_1+b_2)h}{2}

A=\frac{(0.9+2.3)*1.4}{2}=2.2

The answer is thus 2.2 metres squared.

<em>~ an aesthetics lover</em>

8 0
3 years ago
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inysia [295]

Answer:

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The average of 9 scores is x. If the tenth score is 36 points more than x, by how many points will the tenth score raise the ave
Alecsey [184]

Answer:

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Step-by-step explanation:

The average of 9 scores is x.

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The tenth score is 36 more than x, so it is x + 36.

The sum of the 10 scores is 9x + x + 36 = 10x + 36.

The average of the 10 scores is (10x + 36)/10 = x + 3.6

The difference of averages is

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Answer:

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Step-by-step explanation:

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