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Alona [7]
3 years ago
13

Please help me thank you.

Mathematics
1 answer:
Gnom [1K]3 years ago
7 0
Volume of the cylinder = πr²h

Volume of the cylinder = π(3)²(6) = 54π in³

Answer: 54π in³
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It is 100 times greater


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(look at the images) can i get help on these?
Svetlanka [38]

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

--------------------------------------------------------------

16

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

------------------------------------------------------------

17

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = \sqrt{(1-7)^2+(-5-3)^2}

   = \sqrt{(-6)^2+(-8)^2}

   = \sqrt{36+64}

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Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
prisoha [69]
See picture hope it helps

8 0
2 years ago
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6. trapezoid ABCD shown below, AB|| DC, overline BC perp overline DC and sides have lengths as shown (aDetermine the measure of
laila [671]

Answer:

a). ∠D = 56°

b). AD = √13

Step-by-step explanation:

(a) From the figure attached, ABCD is a trapezoid with parallel sides AB and CD. We have to find the measure of ∠D from the given figure.

From triangle ADE,

tanD=\frac{AE}{DE}

         =\frac{3}{2}

D = tan^{-1}(1.5)

D = 56.31

D ≈ 56°

Therefore, measure of ∠D is 56°.

(b). Now by applying Pythagoras theorem in ΔADE,

AD² = AE² + DE²

       = 3² + 2²

AD² = 9 + 4

AD = √13

Length of AD is √13 in.

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