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REY [17]
3 years ago
8

Work out the area of a circle with radius of 7.5cm

Mathematics
1 answer:
lidiya [134]3 years ago
3 0

Answer:

Area of circle is equal A = πr²

Here r =  7.5 and π = 3.142

so,

A = 3.142(7.5)²

A = 176.17 after rounding off.

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An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lin
Anna35 [415]

Answer:

C) 52 in^3

Step-by-step explanation:

The first is to determine the formula of the volume of the box, which would be the following:

 V = height * length * width

Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:

length = 10 - 2 * x

width = 8 - 2 * x

height = x

Now we calculate the volume:

V = x * (10-2 * x) * (8-2 * x)

To determine the maximum volume we will give values to x in order to see how it behaves:

Let x = 2.5

V = (5) * (3) * (2.5) = 37.5

Let x = 2

V = (6) * (4) * (2) = 48

Let x = 1.5

V = (7) * (5) * (1.5) = 52.5

Let x = 1

V = (8) * (6) * (1) = 48

Let x = 0.5

V = (9) * (7) * (0.5) = 31.5

It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3

8 0
4 years ago
DJI manufactures the Mavic Air 2 quadcopter and offered a 6/4/3 chain discount to primary customers. Drone Nerds is a primary cu
vova2212 [387]

Drone nerds will get 15 Mavic air 2's for $23196.192 after offering a chain discount of 6/4/3.

Chain discount is the series of discounts that are offered from the list price of an object when bought from a store.

A general example of a 10/5 chain discount denotes that there will be a series of discounts on the list price. First a discount of 10% is awarded on the list price then a further 5% on the reduced price.

The List price of the drones is $26500.

Chain discount=6/4/3

So the first discount received is 6% on the $26500.

Price after the first discount=26500- 6%of 26500

Simplifying we get

=26500-.06\times26500\\=24910

The price after the first discount is $24910

Now we will apply the 4% discount on $24910

Price after second discount=24910-4% of 24910

=$23913.60

Now we apply the third discount

Price after third discount is=23913.60-3%of 23913.60

=$23196.192

To learn more about chain discount:

brainly.com/question/3393062

#SPJ9

7 0
2 years ago
What's the explicit formula for the sequence :")
zzz [600]

Hello from MrBillDoesMath!

Answer:

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,



Discussion:

The terms are 12, 9, 6, 3  so we are apparently subtracting 3 from each succeeding term. . Hence

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,


Thank you,

MrB

7 0
3 years ago
HELP ITS A QUIZ<br><br><br> (15÷3)2 +9÷3
andrew-mc [135]
Answer=13
Hope this helps
3 0
3 years ago
Simply <br> (4x + 8) + (7x + 3)
gtnhenbr [62]

Answer:

=11x+11

Step-by-step explanation:

Combine Like Terms:

=4x+8+7x+3

=(4x+7x)+(8+3)

=11x+11

6 0
3 years ago
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