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JulijaS [17]
2 years ago
14

Answer the question below. Type your response in the

Mathematics
1 answer:
lukranit [14]2 years ago
5 0
<h3>Answer: 31 degrees</h3>

This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.

Note: dilations will change the side lengths

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Find 4.23 - 6.87 Write your answer as a decimal
patriot [66]

Answer:

-2.64

Step-by-step explanation:

3 0
3 years ago
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Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 +
anastassius [24]

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

8 0
3 years ago
Is -(x+7)^2+4 a quadratic function?
Oliga [24]
Yes you use the method of your choice to solve (x+7)*(x+7)
Then you distribute the negative -1(x^2+14x+49)
Then you add the four
-x^2-14x-45 should be your answer
5 0
3 years ago
Please find the value of x
Margarita [4]

Answer:

x=5

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

The box is a right angle which is 90 degrees

60+6x+90 = 180

Combine like terms

150+6x= 180

Subtract 150 from each side

150-150+6x = 180-150

6x = 30

Divide by 6

6x/6 =30/6

x = 5

5 0
3 years ago
The points scored on a test for a sample of
jasenka [17]

Answer:

The mean is 42.6

Step-by-step explanation:

6+90+16+80+15 + 70 + 4 + 60 = 341 \\ there \: are \: 8 \: numbers \: in \: total \: so \: you \: divide \: the \: sum \\ by \: 8. \\ 341 \div 8 = 42.625  \\ mean≈42.6

5 0
3 years ago
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