Answer:
r = √98
Step-by-step explanation:
angle A and the diameter form an isosceles right triangle, with OA as the hypotenuse and r as the other sides. You can then make and solve an equation from the Pythagorean Theorem:
r^2 + r^2 = 14^2
2r^2 = 14^2
2r^2 = 196
r^2 = 98
r = √98
Answer:
8,275,842 digits
Step-by-step explanation:
One more than the floor of the logarithm to the base 37 gives the number of digits. The change of base formula can be used.
Expressed in the base-37 number system, P has 8275842 digits.
Answer:
b. (-1, 5)
Step-by-step explanation:
Since the first equation is already solved for y, we can use substitution.
Substitute y in the second equation with 3x + 8.
5x + 2y = 5
5x + 2(3x + 8) = 5
5x + 6x + 16 = 5
11x = -11
x = -11/11
x = -1
Now substitute x in the first original equation by -1 and solve for y.
y = 3x + 8
y = 3(-1) + 8
y = -3 + 8
y = 5
Answer: (-1, 5)
Answer:
4
Step-by-step explanation:
36 pretzels divided by 9 people (Antonia + 8 friends) = 4 per person
36 / 9 = 4
By the chain rule,
We also have
,
, and
, so at this point we get
