Step-by-step explanation:
she swims at least 45 min's a day
Answer:
I would think D
Step-by-step explanation:
Beatrix was able to eat 21 raisins. Now, this 21 raisins is said to be 30% of the number of raisins inside the box. T
he question is, how many raisins, will there be in total inside the box?
Equation and solutions:
=> 30% = 30% / 100% = .31
=> .31x = 21
=> .31x / .31 = 21 / .31
=> x = 67.8 total number of raisins inside the box, or let's convert it to whole number
=> 67.8 = 68 count <span>
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To start, first determine the slope of the line that is perpendicular to the equation y=2x. To find it, note that the slope of a line perpendicular to another is always the negative reciprocal (or the inverse, for example the reciprocal of 3 is 1/3) which would mean that the slope for the perpendicular line would be -1/2. Then, use the slope intercept form, y=mx+b to find your remaining missing values of the equation. Because the line passes through (0,1), you can plug into the x and y values, 0 and 1, respectively, and since you know the slope is -1/2, you can plug that into m. However, the only value you must find is b, which can be solved using your three known values. When you plug the values in, you will get this equation:
1=-1/2(0)+b
Then, when you simplify and solve for b, you should get b=1.
Now that you have your b and m value, you can finally write your perpendicular equation as y=-1/2x+1
Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet
