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gavmur [86]
3 years ago
10

A pipe is at least 21 feet long and you want to cut it into 3 pieces. The second piece is to be twice as long as the first piece

and the third piece is to be 1 foot longer than the second piece. What is the minimum length of the first piece?
Mathematics
1 answer:
fgiga [73]3 years ago
6 0

Answer:

the minimum length of the first piece is 4 feet

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Find a ⋅ b. a = <5, 2>, b = <4, 5>
cestrela7 [59]

Answer:

  30

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

  a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

  a·b = 5·4 + 2·5 = 20 + 10

  a·b = 30

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Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.

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3 years ago
The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the
egoroff_w [7]

Answer:the answer  is a

Step-by-step explanation:

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3 years ago
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Arlo invested $4000 in an account that earns 5.5% interest, compounded annually. The formula for compound interest is A(t)=P(1+i
USPshnik [31]

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4 0
3 years ago
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PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the
drek231 [11]

Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1

6 0
3 years ago
Use the Distributive Property to simplify the expression. 2w+4+13w+1=
coldgirl [10]

Answer:

15w+5

How I did it:

add 2 and 13 and put the "w" after the answer which is 15. Then add 4 and 1. That is 5 so then it is 15w+5.

6 0
2 years ago
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