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3 years ago

6

If bricks weigh 4.5 pounds each, how many pounds will 200 bricks weigh?

2 answers:

Viefleur [7K]3 years ago

8 0

The answer is 900. 4.5*200=900

kolbaska11 [484]3 years ago

5 0

4.5 • 200 = 900 pounds

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0.83 compared 83/100

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A bottle contains 1/3 of water if it's is poured equally into four cups how much water will be in each cup

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3 years ago

If the angle between each blade of the wind turbine is the same, and each blade has a length of 20 meters, find the distance bet

Ket [755]

A typical windmill has three blades. We can envision these blades in a circle, which a circle = 360 degrees. We want to divide up the angles of the blades so they are even or makes up 360 degrees. We have three blades so we have 3 angles to divide by 360 degrees. So, 360 / 3 = 120 degrees. Now that we know the angle of the blades, we can use the Law of Cos to solve the distance between the blade tip.

Law of Cos

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

We know

a = 20

b = 20

A = Angle = 120

We need to solve for c

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

Take the square root of each side of the =

$\sqrt{c^2} = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

$c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

Input the values we know into the formula and solve for c:

$c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

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$c = \sqrt{400 + 400 - 2(20)(20)(\cos 120)}$

$c = \sqrt{800 - 2(20)(20)(\cos 120)}$

$c = \sqrt{800 - 2(400)(\cos 120)}$

$c = \sqrt{800 - 800(\cos 120)}$

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4 years ago

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Archy [21]

Answer:

$y = -\frac{1}{3}m + 41$

Step-by-step explanation:

Linear equation:

A linear function has the following format:

$y = mn + b$

In which m is the slope and b is the y-intercept.

When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.

This means that these two points belong to the line: (30,31), (36,29).

Finding the slope:

When we have two points, the slope is given by the change in the output divided by the change in the input.

Change in the output: 29 - 31 = -2

Change in the input: 36 - 30 = 6

Slope:

$m = \frac{-2}{6} = -\frac{1}{3}$

Thus

$y = -\frac{1}{3}m + b$

Finding b:

We take one of the points and replace on the equation.

(30,31) means that $m = 30, y = 31$ . Thus

$y = -\frac{1}{3}m + b$

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$31 = -10 + b$

$b = 41$

Thus

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3 years ago