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saul85 [17]
3 years ago
9

What is the length of arc S shown below? Enter an exact expression.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

S = 15π = 47.12

length of arc S = 15π

Attached is the image of the arc.

Step-by-step explanation:

Given;

Radius arc r = 10

Angle at the center of arc ⍉ = 3π/2

The length of the arc S can be derived using the formula;

S = r × ⍉

Substituting the values;

S = 10 × 3π/2

S = 30π/2

S = 15π =  47.12

length of arc S = 15π

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as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
PLEASE HELP!!! I do not understand!!!
sladkih [1.3K]

Answer:

110 + 5x (I'm not sure if you need the dollar signs...if you do, one goes in front of the 110 and one goes in front of the 5)

Step-by-step explanation:

$20 + $90 = $110

<u><em>Equation:</em></u>

110 + 5x

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5 represents the cost of the turtle food

x represents the number of weeks that she is purchasing the food.

4 0
3 years ago
A salesman sells a car for $37,000 and earns 8.5% commission. How much commission does he earn?
nevsk [136]

Answer:

4,352 dollars

Step-by-step explanation:

6 0
2 years ago
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Answer:

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5 0
2 years ago
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The lines y = 2x - 1 and y = -2x + 3 intersect at exactly one point which means this system has exactly one solution. so the system is consistent and independent 
3 0
3 years ago
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