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3 years ago

10

A machine can produce 27 inches of ribbon every 3 minutes. How many feet of ribbon can the machine produce in one hour? Explain.

1 answer:

dimulka [17.4K]3 years ago

7 0

First, you have to know how many times you can make 27 inches of ribbon in an hour by dividing 60 by 3. (60 minutes = 1 hour) You get 20, so you can make 27 inches of ribbon 20 times in an hour. Now multiply 20 x 27 to get 540, so you can make 540 inches of ribbon in an hour. To get feet, divide 540 by 12. (12 inches = 1 foot) So your answer will be 45 feet of ribbon.

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The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr

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Answer:

$\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height$

Given:

area = 18 cm²
base = 6 cm
height = (h + 1) cm

Substitute the given values into the equation and solve for h:

$\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)$

$\sf \implies 18 = \sf \dfrac62 (h+1)$

$\sf \implies 18 =3(h+1)$

expand using distributive property of addition $a(b+c)=ab+ac$ :

$\sf \implies 18=3h+3$

subtract 3 from both sides:

$\sf \implies 3h=15$

divide both sides by 3:

$\sf \implies h=5$

<u>To verify</u>:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

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Find the missing length of the triangle. *

Amanda [17]

Answer:

50 ft

Step-by-step explanation:

This is the pythagorean theorem, so you should use the formula...

a squared + b squared = c squared

Then substitute in the numbers... (remember, a and b are the legs, and c is the hypotenuse)

14 squared + 48 squared = c squared

14 squared = 14 x 14 = 196

Now we have 196 + 48 squared = c squared

48 squared = 48 x 48 = 2,304

Now we have 196 + 2,304 = c squared

Add them together - 2,304 + 196 = 2,500

Now we have 2,500 = c squared

We find the square root of 2,500 which is 50

You should now have 50 = c

That is your answer. Don't forget to add units.

50 ft is your hypotenuse (c)

I hoped this helped

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