Answer:
(-6, 7), r=9
Step-by-step explanation:
The opposite of the number next to the x is -6, the opposite of the number next to the y is 7. The square root of the number on the right (81) is 9, so 9 is the radius.
Answer:
KE = 900,000t²
Step-by-step explanation:
The formula for calculating the kinetic energy of a body is expressed as KE = 1/2mv² where;
m is the mass of the sport car = 2000kg
v is the velocity of the car
Since v = at
v = 30t
Substituting the given values into the KE formula;
KE 1/2 * 2000 * (30t)²
KE = 1000*900t²
KE = 900,000t² Joules where t is the time measured in seconds
Answer:
The area of the shape is 122.30 cm^2
Step-by-step explanation:
To calculate the surface area, we identify the side shapes
We have this as;
a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm
The area of the rectangles is simply the product of the side lengths
The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both
Thus, we have the area of the shape as follows;
(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)
= 33 + 18 * 24 + 47.3
= 122.30 cm^2