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cupoosta [38]
3 years ago
9

In rectangle ABCD, BC=30 and AB=40. If diagonals AC and BD intersect at E, find the measure of BE.

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
The questions asking here is basically asking for half of the hypotenuse 
Pythagorean Theorem= a^2 + b^2 = c^2
40^2 + 30^2 = c^2
1600 + 900 = c^2
2500 = c^2
square root of 2500 is 50
C = 50
half of C is 25
BE is 25
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Answer:

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

Step-by-step explanation:

Given that,

The function that models the production cost is

f(t)=0.1 t^2-6t+100

To find the number of t-shirt, we put f(t)=40 in given function.

∴40= 0.1t²-6t+100

⇒ 0.1t²-6t+100-40=0

⇒0.1 t²- 6t +60=0

⇒t²-60t+600=0

Applying quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, a=1, b= - 60 and c=600

t=\frac{-(-60)\pm\sqrt{(-60)^2-4.1.600}}{2.1}

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 ≈47, 12

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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