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notka56 [123]
4 years ago
11

What is the best estimate for the product of 289 and 7?

Mathematics
1 answer:
choli [55]4 years ago
7 0
The answer to your question is 300 and 10
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A woman at a point A on the shore of a circular lake with radius r=4 wants to arrive at the point C diametrically opposite A on
levacccp [35]
Attached is a drawing to set up the problem, hopefully that helps. 
The red lines are tracing the rowing and walking to get to other side.
dR = distance rowed
dw = distance walked
x = the angle in which to start rowing initially 

dR can be found by using Law of cosines
dR = \sqrt{4^2 +4^2 - 2(4)(4) cos(180-2x)} = 4\sqrt{2}\sqrt{1-cos(180-2x)}
dw is arc length, which is just radius*arc
dW = 4*2x = 8x

next we need t set up a function for Time in terms of x.
This is so we can minimize the time it takes to get to other side.
Time = distance/rate

T = \frac{dR}{5} + \frac{dW}{10} = \frac{4 \sqrt{2}}{5} \sqrt{1-cos(180-2x)}+\frac{4}{5} x
Finally, take derivative and set equal to 0
Once you solve for x, plug it back into Time function to obtain final answer.

6 0
3 years ago
2. Consider the following graph of a quadratic function.
Stella [2.4K]

Answer:

see the procedure

Step-by-step explanation:

Looking at the graph we have

The graph represent a  vertical parabola open upward

The vertex is a minimum

The vertex is the point (-4,-3)

The domain is the interval -----> (-∞,∞)

The Domain is all real numbers

The range is the interval ----> [-3,∞)

y\geq -3

The range is all real numbers greater than or equal to -3

The graph is increasing in the interval (-4,∞)

The graph is decreasing in the interval (-∞,-4)

The minimum of the graph is y=-3 occurs at x=-4

5 0
4 years ago
What is the square root of –16?
jeka94
4 i
I is the square root of negative one
8 0
3 years ago
Why is (5+2) to the second power is not equal to 5 to the second power plus 2 to the second power is not equal
Olin [163]
Because 5 +2 is 7 and seven to the second power is 49. On the other hand 5 squared is 25 and 2 to the second power is 4 when you ad them together you get 29 you are taking to completely different numbers to the power of two and that’s why they aren’t equal
3 0
4 years ago
Read 2 more answers
Find the volume of the regular hexagonal prism below.
goblinko [34]

Answer:

B. 179.1 cm3

Step-by-step explanation:

sorry if i get it wrong

6 0
3 years ago
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