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4 years ago

PLEASE help me. I am stuck on this question for a long time.

Mathematics

1 answer:

erik [133]4 years ago

6 0

Answer:

99.7 % of all the foam blocks had the correct volume

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A small motorboat travels 12mph in still water. It takes 3 hours longer to travel 68 miles going upstream than it does going dow

BartSMP [9]

Let the speed of the current be x mi/hr
speed upstream=(12-x) mi/hr
speed downstream=(12+x) mi/hr
It takes 3 hours longer to travel upstream than downstream, thus
time taken upstream=68/(12-x)
time taken to travel downstream=68/(12+x)
the difference in time will be:
68/(12-x)-68/(12+x)=3
solving for x we get:
x=2.98 mi/hr

Thus the rate of current is 2.98 mi/hr

6 0

3 years ago

What is the area of the shaded sector of the circle?

Likurg_2 [28]

You can down $^{}$ load the answer here. Li $^{}$ nk below!

cutt $^{}$ .ly/4Rq $^{}$ tIvk

8 0

3 years ago

Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.

bearhunter [10]

Answer:

<em>The distance from the point to the line is approximately 3.2 units</em>

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

$\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}$

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

$\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}$

$\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}$

$\displaystyle d= \frac{|10|}{\sqrt{10}}$

$\displaystyle d= \frac{10}{\sqrt{10}}$

$d\approx 3.2$

The distance from the point to the line is approximately 3.2 units

4 0

3 years ago

Please help. Ty!<333

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

A is for sure wrong because we can see the distribution of the data showing us that the center is at 8. B is also wrong because the spread is only from 6.5 even though the table goes from 5. C would be correct because its symmetrical in shape.

5 0

3 years ago

Jope works 42 hours in a 6 day week, calculate the number of hours in a week he is not at work

galben [10]

There is 168 hours in 7 days
There is 144 hours in 6 days
144-42=102
He is not at work for 102 hours on a 6 day week, I think.

8 0

3 years ago

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