150 is 200% of what number?

ABC paint company needs to paint the outside of the building shown. They will also need to paint the roof. What is the surface a

Ostrovityanka [42]

Answer:

3100ft

Step-by-step explanation:

There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.

5 0

4 years ago

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Need help ASAP!!

Ilia_Sergeevich [38]

An object that is in motion as a projectile follows a path or trajectory of a parabola

The function and values are;

a) The equation of the quadratic function is; $\underline{y = \dfrac{111}{140} \cdot x - \dfrac{3}{140} \cdot x^2}$

b) The maximum height of the ball is approximately 7.334 m

c) Horizontal distance at maximum height 18.8 meters

Reason:

a) Known parameters are;

Let f(x) = a·x² + b·x + c represent the equation of the parabola modelling the path of the ball, we have;

Points on the path of the parabola = (0, 0), (35, 1.5), 37, 0)

Plugging the values gives;

0 = a·0² + b·0 + c

Therefore, c = 0

1.5 = 35²·a + 35·b

0 = 37²·a + 37·b

Solving gives;

a = -3/140, b = 111/140

The equation of the quadratic function is therefore;

$\underline{y = f(x) = \dfrac{111}{140} \cdot x - \dfrac{3}{140} \cdot x^2}$

b) The maximum height is given by the vertex of the parabola

The x-coordinate at the vertex is the point $-\dfrac{b}{2 \cdot a}$

Which gives;

$x-coordinate = \dfrac{\frac{111}{140} }{2 \times \dfrac{3}{140} } = 17.5$

The maximum height is therefore;

$f(x)_{max} = \dfrac{111}{140} \times 17.5 - \dfrac{3}{140} \cdot 17.5^2 \approx 7.334$

The maximum height of the ball is approximately 7.334 m

c) The distance the ball has travelled to horizontally is given by half of the range, R as follows;

The range of the motion, R = 37 meters

$Horizontal \ distance \ to \ maximum \ height = \dfrac{R}{2}$

Therefore;

$Horizontal \ distance \ to \ maximum \ height = \dfrac{37}{2} = 18.5$

The distance the ball has travelled horizontally to reach the maximum height horizontally 18.5 meters

Learn more about the trajectory of a projectile here:

brainly.com/question/13646224

8 0

3 years ago

A lender uses a credit report to ____

Keith_Richards [23]

A lender uses a credit report to decide whether or not to lend you money based on your creditworthiness.

7 0

3 years ago

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Which of the following is an even function?

Vesnalui [34]

I am pretty sure it is b

3 0

4 years ago

Amelia collected 54 pieces of candy during Halloween. Of those 54 pieces, five-ninths had chocolate in them. Two-thirds of the o

AleksAgata [21]

$\frac{5}{9}$ of 54 are the ones which have chocolate , so we need to multiply the fraction by 54

$\frac{5}{9} *54 =30$

Since 30 pieces of candy have chocolate, then 24 don't have it. $\frac{2}{3}$ of the last number are the ones which have gum, multiply $\frac{2}{3}$ by 24 to get the answer:

$\frac{2}{3} *24=16$

The answer is : 16 pieces of candy have gum

PLEASE MARK ME AS BRAINLIEST

3 0

3 years ago