The second ramp should be 5.4 ft long
Which equation represents a circle with a center at (-3,-5) and a radius of 6 units?
1 answer:
You might be interested in
Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.
We have to find the apothem of the regular hexagon.
The formula for determining the apothem of regular hexagon is , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem =
=
=
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
Option B is the correct answer.
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
___
If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
Factor the numerator and factor the denominator.
Then you divide the numerator and the denominator by the common factor to reduce the fraction.
Then you divide the numerator and the denominator by the common factor to reduce the fraction.
Answer:
The volume of water in the vase is
Step-by-step explanation:
A cylinder vase has a height, h, of 10 inches and its diameter of 3 inches. This means that its radius, r, is:
r = 3 / 2 = 1.5 inches
To find the volume of the water in the vase if the water raises to 9/10 of the way to the top, we first have to find the volume of the vase when it is filled with water and then, find 9/10 of that volume.
The volume of a cylinder is given as:
The volume of the vase will be:
Hence, the volume of the water in the vase when it is 9/10 filled is:
Approximating to the nearest cubic inch, the volume of water in the vase is