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frez [133]
3 years ago
8

The crab nebula is a cloud of gas and dust particles in space that is expanding at a rate of 930 miles per second. What is its r

ate of expansion in miles per hour?
Mathematics
1 answer:
Flauer [41]3 years ago
7 0
There are 3,600 seconds in one hour so if it expands at rate of 930 miles per second then 930 * 3600= 3,348,000 miles per hour
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What is the formula for the circumference of a circle?
Juli2301 [7.4K]

Answer:

C = pi * d = 2 * pi *r

Step-by-step explanation:

The circumference of a circle is the distance around the circle.  It can be found by multiplying the diameter times pi.

C = pi * d

We can replace the diameter with twice the radius

C = pi * 2 * r = 2 * pi *r

5 0
3 years ago
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There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are
prisoha [69]

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2 years ago
Find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units
lina2011 [118]

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

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

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = \sqrt{(10-2)^2+(y+3)^2}

   = \sqrt{8^2+(y+3)^2}

Given distance between points is 10, then

\sqrt{64 +(y+3)^2} = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± \sqrt{36} = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

7 0
3 years ago
Please help im desperate here :/
maksim [4K]

1.) If the perimeters of the triangle and the rectangle are the same, then this means

2(3x - 3) + 2(x - 3) = 2(2x - 1) + 2x

First distribute:

2(3x - 3) = 6x - 6

2(x - 3) = 2x - 6

Let's look at the bolded coefficients:

6x - 6 + 2x - 6 = 4x - 2 + 2x

= 8x - 6 - 6 = 6x - 2

Isolate the variables:

8x - 6x = -12 - 2

2x = 10, so x = 5

Plug in the variables:

Rectangle: 2(3(5) - 3) + 2(5 - 3)

= 2(15 - 6) + 2(2)

= 24 + 4 = 28 feet

Triangle: 2(2(5)-1) + 2(5)

= 2(9) + 10 = 18 + 10 = 28 feet

Claire purchased 28 feet of fencing.

2.) Celia: 1200 calories a day, increases by 100 each day, so 1200 + 100d.

Ryan: 3230 calories per day, decreases it by 190 each day, so 3230 - 190d.

For the variables to equal the same amount:

1200 + 100d = 3230 - 190d

Let's isolate the variables:

1200 - 3230 = -190d - 100d, since there is no such thing as negative 290 days,

290d = 2030

d = \frac{2030}{190}, so d = seven days.

Plug in variable:

Celia: 1200 + 100(7) = 1900 calories

Ryan: 3230 - 190(7) = 1900 calories.

In seven days, they will both be consuming 1900 calories.

3.) 800 + 16h = 720 + 21h

Isolate the variable:

800 - 720 = -16h + 21h

80 = 5h, which means 16 hours.

4.) 2500 + 150m = 3000 + 125m

Isolate the variable:

3000 - 2500 = 150m - 125m

500 = 25m

\frac{500}{25} is 20 months.

5.) 200 + 45m = 50 + 55m

200 - 50 = 55m - 45m

150 = 10m

m = 15 months.

6.) 200 + 45(15) = 200 + 675 = $875

7.) 200 + 45m = 20 + 60m

= 200 - 20 = 60m - 45m

180 = 15m

\frac{180}{15} = 12, so it will take 12 months.

4 0
3 years ago
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