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suter [353]
2 years ago
9

Determine the area of the composite figure below

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

  • 2772 cm²

Step-by-step explanation:

<u>Work:</u>

  • 2(π x 21 x 21/2) + (π x 42 x 42/4) = Area of figure
  • => π x 21 x 21 + (π x 42 x 42/4) = Area of figure
  • => (22/7 x 21 x 21) + (22/7 x 21 x 21) = Area of figure
  • => 2(22/7 x 21 x 21)
  • => 2(22 x 3 x 21)
  • => 2772 cm²

Hence, the area of the shape is 2772 cm².

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Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?
Nady [450]
STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
subtract 9.40 from both sides

9.40x= 0.47
divide both sides by 9.40

x= 0.47/9.40

x= 0.05 sales tax decimal form


STEP 2:
find sales tax percentage

= 0.05 * 100
or move decimal to the right two decimal places

= 5% sales tax percent form


ANSWER: The sales tax is 5% (or 0.05 in decimal form)

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
Find the equation of the line in gradient form that passes through the points (3,0) and (-2,4)
Aleksandr-060686 [28]

Answer:

y = (-4/5)x + 12/5

Step-by-step explanation:

Slope = (4-0)/(-2-3) = 4/-5 = -4/5

y = (-4/5)x + c

When x = 3, y = 0

0 = (-4/5)(3) + c

c = 12/5

y = (-4/5)x + 12/5

5y = -x + 12

5y + x = 12

4 0
3 years ago
How to do this question plz answer ​
ANEK [815]

9514 1404 393

Answer:

  more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

  (3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

  (7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

  24 + 252 = 276 . . . . seats used

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The total number of seats on the train is ...

  1·64 +6·78 = 532 . . . . seats on the train

Half of the seats on the train will be ...

  532/2 = 266 seats . . . . half the seats

The 276 used seats are more than half of the total number. More than half the seats are being used.

_____

<em>Alternate solution</em>

Another way to look at this is to compare utilization to 1/2 in each carriage class.

  In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

  In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so <em>more than half the train seats are being used</em>.

8 0
2 years ago
Write and solve an equation to find the number n. The difference of three times a number and 4 is -19.
Law Incorporation [45]

Answer:

-5

Step-by-step explanation:

Let n be the unknown number

difference is subtraction

3n -4 = -19

Add 4 to each side

3n-4+4 = -19+4

3n = -15

Divide by 3

3n/3 = -15/3

n = -5

4 0
3 years ago
Please help 10 points asap​
hoa [83]

Answer:

a) 7

b) -8.2

c) 0

d) -7

e) -1 3/4

f) 121

Step-by-step explanation:

Just put the opposite for each one. The absolute value is the distance away from 0.

3 0
2 years ago
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