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4 years ago

The segments in each figure are tangent to the circle. Find each length.

Mathematics

1 answer:

zubka84 [21]4 years ago

3 0

The tangents are equal length, so
.. 8x = x^2
We presume their length is not zero, so we can divide by x to get
.. 8 = 2x
.. 4 = x

Then the length of each tangent is 8*4 = 32 units.

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A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7

Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

$C(x)=0.5x^2-7x+65.5$ .....(1)

Where

x is the number of necklaces that are created

To maximize the cost, find the value of x by putting dC/dx = 0

$\dfrac{d}{dx}(0.5x^2-7x+65.5)=0\\\\x-7=0\\\\x=7$

Now put the value of x = 7 in equation (1).

$C(x)=0.5(7)^2-7(7)+65.5\\\\=41\ \text{dollars per necklace}$

Hence, the maximum cost is 41 dollars per necklace.

8 0

3 years ago

HELP ASAP ILL GIVE BRAINLIEST !!! The social studies teacher wants to know whether students in the entire school but for a model

Roman55 [17]

Answer:

Hello There. ☆~---_●₩●__---☆~ The students in each grade, that way it wont focus just on one group like the club, the teachers, or the boys.

Hope It Helps!~ ♡

ItsNobody~ ☆

8 0

4 years ago

In 1932 the percentage of workers who had any form of employment-related pensions was about

ankoles [38]

The answer is 15% have a good day

3 0

3 years ago

Please help me out ?

vova2212 [387]

An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:

Let a and b be two sides of a triangle and c is the longest side:
$a^{2} + b^{2} \ \textless \ c^{2}$

So taking your given:

$10^{2} + 15 ^{2}$ < $c^{2}$
100 + 225 < $c^{2}$
325 < $c^{2}$

To get the smallest possible number, just get the square root of both sides:

$\sqrt{325}$ < $\sqrt{c^{2} }$
18.03 < c

So your smallest possible whole number is 19

5 0

4 years ago

Double my number<br> add four<br> subtract my number <br> and<br> subtract three

Elena L [17]

X is your number

double it means 2 times x or 2x

add 4
2x+4

subtract my number
2x+4-x=x+4

subtract 3

x+4-3=x+1

the result is x+1 or your number plus 1

3 0

3 years ago