Answer:
c. 1/128
Step-by-step explanation:
(2 ^ -5)^2
----------------------
2^ -3
Lets first simplify the numerator.
a^b^c = a^(b*c)
(2 ^ -5)^2 = 2^(-5*2) = 2^-10
(2 ^ -10)
----------------------
2^ -3
When dividing, since the bases are the same, we keep the bases and subtract the exponents.
a^b/ a^c = a^(b-c)
2^(-10- -3)
2^(-10+3)
2^(-7)
We know the negative exponent moves it from the numerator to the denominator
1/2^7
1/128
4.003 4.03 4.033 4.3 4.303 4.33
Answer: The answer is less than 40 yards.
Step-by-step explanation: Given that the points A, B and C forms a triangle as shown in the attached figure, where AB = 15 yards and BC = 25 yards.
Now, Pete walk directly from point A to point C rather than walking from A to B and then from B to C.
Total distance that Pete covers if he walks from A to B and then from B to C
= 15 + 25
=40 yards.
Since he walks directly from A to C and ABC forms a triangle, so from triangular inequality, we have
AB + BC > AC
i.e., AC < 40 yards.
So, if Pete takes the way direct from A to C, then the distance covered by him will be less than 40 yards. And if if he walks from A to B and the from B to C, the he will have to cover total distance of 40 yards.
Thus, the direct way from A to C will be more convenient foe him as he will have to cover less distance.
Answer:
5.9 ft
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
872 = 4/3 (3.14) r^3
872 =4.186666666 r^3
Divide each side by 4.1866666 on each side
872 / 4.186666666 = r^3
208.2802548 = r^3
Take the cube root of each side
(208.2802548)^(1/3) = r^3^(1/3)
5.927652012 = r
Rounding to the nearest tenth
5.9 ft
Answer:
62°
Step-by-step explanation:
Inscribed Angle Theorem
Inscribed angles measures are 1/2 of the arc they create.
m∠FJH x 2 = arc FH
Just take the 31° and double it.