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vfiekz [6]
2 years ago
12

Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be o

rdered this year. When the order arrives, the total number of hats the student will have can be determined using the function f(x) = 48x + 37, where x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes?
A)517

B)480

C)997

D)365
Mathematics
1 answer:
inna [77]2 years ago
4 0

Answer:  A) 480

Step-by-step explanation:

x=20 substitute in the two equations

48(20)+37

24(20)+37

since the question said fewer , then you should subtract

48(20)+37 - 24(20)+37 = (960+37) - (480+37)

=923 - 443= 480

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to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter
Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

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So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}

Hence, The height of the tower = 420.48 meters

5 0
4 years ago
2l+2w 10 feet by 3.5 feet
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Step-by-step explanation:

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