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VikaD [51]
2 years ago
5

The radius of a circle is 5 miles. What is the length of a 135° arc?

Mathematics
2 answers:
SCORPION-xisa [38]2 years ago
7 0

Answer:

75

Step-by-step explanation:

an arc is half a circle

WINSTONCH [101]2 years ago
3 0

Answer:

beans

Step-by-step explanation:

they are good

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What is the value of the expression? −26−(6)2 Enter your answer in the box.
alexandr1967 [171]

Is it   −26−(6)^2? If so

−26−(6)^2

= -26 - 36

= - 62

If   −26−(6)2 (means 6 times 2) then

= -26 - 12

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3 years ago
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The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th
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Answer:

the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = \dfrac{2400 \ cm^2}{p}

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be \dfrac{2400 \ cm^2}{p} + 20

The area of the printed material can now be:  A = (p+30)(\dfrac{2400 }{p} + 20)

=2400 +20 p +\dfrac{72000}{p}+600

Let differentiate with respect to p; we have

\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}

Also;

\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}

For the smallest area \dfrac{dA}{dp }=0

20 - \dfrac{72000}{p^2}=0

p^2 = \dfrac{72000}{20}

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression  q = \dfrac{2400 \ cm^2}{p}   to solve for q;

q = \dfrac{2400 \ cm^2}{p}

q = \dfrac{2400 \ cm^2}{60}

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = \dfrac{2400 \ cm^2}{p} + 20 = \dfrac{2400 \ cm^2}{60} + 20  = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

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3 years ago
Chloe has a box that is 15 cm long, 4 cm wide, and 9 cm tall. How many 1 cm by 1 cm by 1 cm dice can Chloe fit into the box?
ElenaW [278]
540 dice should fit into the box
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Ethan goes to a store an buys an item that costs x dollars. He has a coupon for 5% off, and then a 9% tax is added to the discou
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Well Ethan’s pretty cool
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A right triangle has side lengths 7, 24, and 25 as shown below.
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Answer:

Steps below

Step-by-step explanation:

The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7

sin B = 7/25

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tan B = 7/24

if ∠B opposite to side length of 24

sin B = 24/25

cos B = 7/25

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2 years ago
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