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3 years ago

Insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.

Mathematics

1 answer:

Fudgin [204]3 years ago

6 0

Answer:

2,6,18,54

How I got this answer:

Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.

step by step:

2×3=6

6×3=18

18×3=54

The common ratio is 3.

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The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 305°.

Usimov [2.4K]

The length of the arc is 31.92 units

Explanation:

Given that the sector of a circle of radius 6 units.

The angle is given by $\theta=305^{\circ}$

Arc length of the circle:

The arc length of the circle can be determined using the formula,

$\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)$

where r = 6 and $\theta=305^{\circ}$

Substituting the values, we have,

$\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)$

Multiplying the numerator, we have,

$\ {arc\ length}=\frac{3660 \pi}{360}$

Substituting $\pi=3.14$ , we have,

$\ {arc\ length}=\frac{3660(3.14)}{360}$

Multiplying the terms, we get,

$\ {arc\ length}=\frac{11492.4}{360}$

Dividing, we get,

$\ {arc\ length}=31.92 \ units$

Thus, the arc length of the circle is 31.92 units

8 0

3 years ago

Emily has $100 extra to spend on supplies for her T-shirt-making business.

iris [78.8K]

Answer:

B. 5i + 12b < 100

Step-by-step explanation:

I used process of elimination on to figure this one out.

I first eliminated A because I knew the i should be next to the 5. I know this because i (ink) costs 5 dollars each.

I next eliminated D because this equation is looking to find the sum of the ink and the new brushes, not the ink plus the total cost equaling the brushes.

Finally, I eliminated C because Emily only has $100, so the cost of the ink (i) and the brushes (b) must NOT excede 100 dollars. From this, I can see that C states that the sum exceeds Emily’s $100 budget

This leaves us with B as the final answer

Hope this helps! Have a lovely rest of your day!

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3 years ago

Find the measure of the angle.

gayaneshka [121]

Answer:

radian

Step-by-step explanation:

1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.

36 deg

1/10 of a circle is equal to 36 deg.

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3 years ago

Which of the following is the best estimate of square root 90

valkas [14]

The answer should be 9

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3 years ago

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers char

kotegsom [21]

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

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2 years ago

Read 2 more answers

Insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.​

Insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.