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Paul [167]
3 years ago
13

How do I find this arc measure?

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Check the picture below.

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Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th
Ilya [14]

Answer:

13 1/3 and  6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' =  40x - 3x^2 = 0   for  maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" =  40 - 6x = 40 - 6(40/3)) is negative.

So the 2 numbers are 13 1/3 and  6 2/3.

3 0
2 years ago
If a runner was traveling with a velocity of 4 m/s north and had a displacement of 2500 m, how long was he running?
Mademuasel [1]

Answer:

625

Step-by-step explanation:

t= d/s

2500/4

4 0
2 years ago
If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___
JulsSmile [24]

Answer:

a) y-intercept of AB is 56/5

b) equation of line CD is:

y = -7/5x + 12

Step-by-step explanation:

a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

We are given the points A(8,0) and point B (3,7)

We need to find y-intercept i.e b

Finding slope of points A and B = y₂ - y₁/x₂ - x₁

=7-0/3-8

=7/-5

= - 7/5

So, finding y intercept b by using equation

y = mx+b

And considering point A (8,0) x = 8 and y = 0 and m = -7/5

0 = 8(-7/5) + b

0 = -56/5 + b

=> b = 56/5

So, y-intercept of AB is 56/5

b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __

Since AB || CD

both will have same slope

i.e m = -7/5

we need to find y-intercept given point D (5,5)

y = mx+b

5 = -7/5(5)+b

5 = -7 + b

=> b = 5+7

=> b = 12

So, equation of line CD is:

y = -7/5x + 12

9 0
2 years ago
Can someone please help with 11-14? I will give thanks and brainliest
Natalija [7]

I won’t be doing all 4 of them (so that you can learn how to do it yourself successfully, without

me just giving you all the answers) but I did 11 which hopefully helps you understand?

Sorry if my handwriting’s a bit on the messy side :))

4 0
3 years ago
Paula bought a 5-pound bag of granola.
irina1246 [14]

yes she did, now what is the rest

6 0
3 years ago
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