Answer:
the area is 50.24 
.
Step-by-step explanation:
The formula to find area of a circle is A=π
. A is area, and r is for radius. Since we have the diameter here, we just need to divide by 2 to find the radius. 8÷2=4, so there, the radius is 4. Now we need to square 4, and do 4x4, which equals 16. Now to multiply 16 by π, or 3.14. 16 x 3.14 = 50.24. The final answer is 50.24 . Hope this helped! :]
Answer:21 cm
Step-by-step explanation: The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.
Answer:
g(1) = -65; g(n) = g(n-1) -15
Step-by-step explanation:
Using n = 1, 2, 3, we can find the first three terms of the sequence:
g(1) = -50 -15 = -65
g(2) = -50 -15(2) = -80
g(3) = -50 -15(3) = -95
The first term of the arithmetic sequence is -65, so that is g(1). Each next term is 15 less than the one before, so the recursive formula is ...
g(n) = g(n-1) -15
The complete recursive function definition requires both parts:
g(1) = -65
g(n) = g(n-1) -15
Answer:
Step-by-step explanation:
I'm sure by now you have learned the difference between mass and weight. Mass will never change regardless of where something is while weight changes depending upon the pull of gravity. If we want the mass, then we have to take the weight on Earth and divide by its pull of gravity. The equation for that will be
W = mg where W is the weight in Newtons, m is mass and g is gravity.
685 = m(9.8) so
m = 7.0 × 10¹ kg
Now that we know that mass, and also because we know that the mass is constant no matter where the astronaut is, we can find his weight on Jupiter.
W = (7.0 × 10¹)(25.9) so
W = 1800 N
