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diamong [38]
3 years ago
8

The diagram shows the front wooden wall of a warehouse in the shape of a trapezoid with a rectangular section cut out for the st

eel door.
What is the area of the front wooden wall of the warehouse?



Enter your answer in the box.
​
​ ft²

Mathematics
1 answer:
nika2105 [10]3 years ago
8 0
1008ft^2 is the answer to this one
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c

Step-by-step explanation:

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Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the
mr Goodwill [35]

Answer:

Angles F and C are congruent

Step-by-step explanation:

In the figure attached, the missing image is shown.

From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .

3 0
3 years ago
Read 2 more answers
6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
2 years ago
Solve 3.4m = 204<br> The solution is m
Sophie [7]
60! 3.4(60)=204 so the answer is 60
8 0
3 years ago
Answer asap! will give brainliest! question is in pic
lana [24]

Answer:

UW=14

Step-by-step explanation:

First we know that UV+VW=UW, so:

4+x+10=2x+14

Solve for x first:

x+10=2x+10

10=x+10

x=0

Then, substitute the X

2(0+14)=14=UW

To check your answer, substitute and add UV and VW

4+(0)+10

14

<em>Hope this helped! Have a good day!</em>

4 0
3 years ago
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