Write three ratios that are equal to 60/180

What is the term in sequence is the value 191..... an=2+7(n-1),

Alekssandra [29.7K]

Answer:

28th

Step-by-step explanation:

Put that value into the formula and solve for n.

191 = 2 +7(n -1)

(191 -2)/7 = n-1 . . . . . . . subtract 2 and divide by 7

27 +1 = n . . . . . . . . . . . .add 1

191 is the 28th term in the sequence.

8 0

3 years ago

The length of segment with endpoints (0,-1) and (4,7)

Art [367]

Answer:

Length = 9 units

Explanation:

Length between two points...,

Apply the following formula,

Length = square root of [(difference in x coordinates)^2 + (difference in y coordinates)^2]

Length = square root of [ (4 - 0)^2 + (7 - -1)^2 ]

Length = square root of (80)

Length = 9 units

4 0

3 years ago

Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90 about the i

liberstina [14]

Answer:

(2) a rotation by $180^{0}$ about the intersection of the lines creating the vertical angles.

Step-by-step explanation:

Rigid motion are a set of transformation procedure to change the dimension, orientation or size of a given figure or shape. It involves rotation, translation, reflection and dilation.

Vertical angles are formed when two straight lines intersect to form angles. But two opposite angles called vertical angles are equal. To prove that vertical angles are equal; a rotation by $180^{0}$ about the intersection of the lines creating the vertical angles is required.

3 0

3 years ago

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

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Find Radius :
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$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

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Find volume of the cylinder :
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$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

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Find volume of the gap :
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$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

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$\bf \text {Answer : } 69.77 \cm^3$
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6 0

4 years ago

There were two lions .Each lion had two cubs. How many lions were there in all?

german

Two lions plus two Cubs per each line equals six lions.

4 0

3 years ago

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