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8090 [49]
3 years ago
9

Determine the taxi distance from point C(2, 4) to point D(1, 7).

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0
The distance is 3.16 (label whatever is appropriate)
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Find the volume of the composite space figure to the nearest whole number.
Romashka [77]

Answer:

  d.  944 mm^3

Step-by-step explanation:

The area of a circle is given by ...

  A = πr² . . . . . where r is the radius, half the diameter

The area of a circle with diameter 9 mm is ...

  A = π(4.5 mm)² = 20.25π mm²

The area of the semi-circular end of the prism is half this value, or ...

  semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²

__

The area of the rectangular portion of the end of the prism is the product of its width and height:

  A = wh = (9 mm)(6 mm) = 54 mm²

Then the base area of the prism is ...

  base area = rectangle area + semicircle area

  = (54 mm²) +(31.809 mm²) = 85.809 mm²

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This base area multiplied by the 11 mm length of the prism gives its volume:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the composite figure is about 944 mm³.

7 0
3 years ago
PLZZZ help with this its pretty simple!
zubka84 [21]

Answer:

2x^3−7x^2+16x−15

Step-by-step explanation:

(2x−3)(x^2−2x+5)

=(2x+−3)(x^2+−2x+5)

=(2x)(x^2)+(2x)(−2x)+(2x)(5)+(−3)(x^2)+(−3)(−2x)+(−3)(5)

=2x^3−4x^2+10x−3x^2+6x−15

=2x3−7x2+16x−15

6 0
3 years ago
Read 2 more answers
Two boxes of tea weight 3 oz. The Tea Time Tasty Tea Company packs 112 boxes in a case of tea. How many pounds does each case of
Marysya12 [62]
Your answer 336 because you multiply 112 x 3
6 0
3 years ago
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Which graph represents the function f(x))=2•(1/3)^x
prisoha [69]

Answer:

The one in the right top hand corner. It shows one arrow pointing up and one to the right.

Step-by-step explanation:

I can't really explain it.

5 0
2 years ago
Algebra 2, I need help!!! Solve x^2 + 6x + 7 = 0. If you are going to comment in here please know the answer, this is so serious
docker41 [41]

Answer:

Third option

Step-by-step explanation:

We can't factor this so we need to use the quadratic formula which states that when ax² + bx + c = 0, x = (-b ± √(b² - 4ac)) / 2a. However, we notice that b (which is 6) is even, so we can use the special quadratic formula which states that when ax² + bx + c = 0 and b is even, x = (-b' ± √(b'² - ac)) / a where b' = b / 2. In this case, a = 1, b' = 3 and c = 7 so:

x = (-3 ± √(3² - 1 * 7)) / 1 = -3 ± √2

6 0
3 years ago
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