Answer:
d = 6.246 m
Step-by-step explanation:
Given that,
The distance around a circular pool is 39.25 m.
We need to find how does the lifeguard have to walk from the edge of the pool to the centre of the pool. It means we need to find the radius r of the circle.
ATQ,
Circumference = 2πr = 39.25 m
r is radius
So, the required distance is 6.246 m.
Answer:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Step-by-step explanation:
At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).
In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).
So the correct answer is:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Answer:
1 sig figs = 1st number is a non zero number and all following numbers are zero (if no decimal point present)
if decimal point is present then it can be 0.x where the x can be any number but nothing can come after it
Step-by-step explanation:
Answer:
x = 135°
Least to greatest
90°, 90°, 90°, 135° and 135°
Step-by-step explanation:
All the angles in this pentagon adds up to 540
(x - 45) + x + (x - 45) + (x - 45) + x = 540
x - 45 + x + x - 45 + x - 45 + x = 540
Collect like terms and place them on either side
5x = 540 + 45 + 45 + 45
5x = 675
Divide both sides by 5 to make x on its own
x = 135°
Angle measures of the pentagon from least to greatest
135 - 45 = 90
90, 90, 90, 135 and 135
Answer:
Step-by-step explanation:
(-2x)⁴(-3⁻¹x¹y⁻²)³ = -(16x⁷)/(27y⁶)
