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Dmitriy789 [7]
3 years ago
5

Find the area of Pentagon ABCDE in which BL perpendicular to AC, CM perpendicular to AD, EN perpendicular to AD such that AC = 8

cm, AD = 12 cm, BL = 4 cm, CM = 6 cm and EN =5cm.​
Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

Area ABCDE = 82 cm²

Step-by-step explanation:

ABCDE = ΔEAD + ΔDAC + ΔCAB

ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82

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A film lasts 2 hours and 35 minutes. Greg is going out at 8.15 . If he starts watching the film at 5.30 will he have time to war
Dmitry [639]

Answer:

Yes, he will have enough time to watch the entire film.

Step-by-step explanation:

5:30 to 6:30 is 1 hour of the movie completed.

6:30 to 7:30 is 2 hours completed.

7:30 plus 30 minutes brings him to 8:00.

8:00 plus the additional 5 minutes brings Greg to 8:05.

His movie ends at 8:05, so he will be able to watch the entire movie before going out.

8 0
2 years ago
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2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last w
frutty [35]

Answer:

<h2>22 hours and 10 hours </h2>

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

4 0
3 years ago
Your credit card has a balance of $3300 and an annual interest rate of 14%. You decided to pay off the balance over two years. I
NARA [144]

9514 1404 393

Answer:

  • $137.90 more each month
  • $246.00 less total interest

Step-by-step explanation:

The amortization formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

for the monthly payment on principal P at annual rate r for t years. Here, we have P=3300, r = 0.14, and t=1, so the monthly payment is ...

  A = $3300(0.14/12)/(1 -(1 +0.14/12)^-12) ≈ $296.30

The payment of $296.30 is ...

  $295.30 -158.40 = $137.90 . . . more each month

The total amount paid is 12×$296.30 = $3555.60, so 255.60 in interest. This amount is ...

  $501.60 -255.60 = $246.00 . . . less total interest

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Answer:

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