Let the required point be (a,b)
The distance of (a,b) from (7,-2) is
= 
But this distance needs to be betweem 50 & 60
So
Squaring all sides
2500 < (a-7)² + (b+2)² < 3600
Let a = 7
So we have
2500 < (b+2)² <3600
b+2 < 60 or b+2 > -60 => b <58 or b > -62
Also
b+2 >50 or b + 2 < -50 => b >48 or B < -52
Let us take one value of b < 58 say b = 50
So now we have the point as (7, 50)
The other point is (7,-2)
Distance between them
= 
This is between 50 & 60
Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)
Answer:
He stepped back 59.71 feet.
Step-by-step explanation:
Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.
For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.
Get x by itself to get 80/tan(68) = x
x = 32.32.
For the next triangle, the equation is the same but the angle is changed to 41.
tan(41) = 80/x
80/tan(41) = x
x = 92.03
Finally, subtract the smaller distance from the larger:
92.03 - 32.32 = 59.71 steps.
Answer:
Michael will use 3/8 cup of flour.
Step-by-step explanation:
Half of a Fraction:
1. Reduce fraction to its lowest terms.
2. If the numerator is an even number than divide the numerator by 2.
Example: 4/5 divided in half would be 2/5.
3. If the numerator is an odd number than multiply the denominator by 2.
Example: 1/3 divided in half would be 1/6.
3/4 cup of flour divided in half would be 3/8 because the numerator 3 is an odd number so the denominator of 4 would be multiplied by 2 equaling 8.
2/9
5/10 *4/9=2/9
ask if you have any more questions
The equation with 15 will be y = 15x.
<h3>What is an equation?</h3>
The equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. The equation of a line in a general form can be written as below:-
y = mx + c
Where m is the slope and c is the y-intercept. The equation for the constant of proportionality 15 can be written as below:-
y = 15x
Here, y and x are variables and 15 is the constant value and is defined as the slope of the line.
Therefore, the equation with 15 will be y = 15x.
To know more about an equation follow
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