Answer:
B. 7854.0 cm2
The area of a circle is given by A= π
where r is the radius
So A= π
= 7854.0 cm2
Answer:
32.13 scoops left
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
In the triangle, there is a 90 degree angle and Angle 1 (what we are looking for) and the other angle, lets call is Angle 2.
Lets find Angle 2 first.
First of all, the angle between angle 40 and 90 can be found easily.
That angle (lets call it "x) and 40 and 90 make a straight angle (180 degrees). So we can write:
40 + x + 90 = 180
Lets solve for "x":
40 + x + 90 = 180
130 + x = 180
x = 180 - 130
x = 50
Now, This angle (50) and Angle 2 are same [vertical angles]
So,
Angle 2 = 50
Now, there are 180 degrees in 3 angles in a triangle. So for the triangle shown, we cacn write:
90 + Angle 1 + Angle 2 = 180
90 + Angle 1 + 50 = 180
Angle 1 + 140 = 180
Angle 1 = 180 - 140
<u>Angle 1 = 40</u>
9514 1404 393
Answer:
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^0 = 1 . . . . for a ≠ 0
__
And, it is convenient to know the cubes of small integers:
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125
6³ = 216; 7³ = 343; 8³ = 512; 9³ = 729; 10³ = 1000
__
1) p^3 × p^5 = p^-12 × p^y
Equating exponents:
3 + 5 = -12 + y
20 = y . . . . . . . . . . . add 12
__
2) 64 × 4^5 = 4^3 × 4^5 = 4^(3+5) = 4^8
__
3) 10^x = 1 = 10^0
x = 0
Answer:
= - 14 - 4√5/ 29
Step-by-step explanation:
(√3-√5)(√5+√3)/7-2√5
= √15 + 3 - 5 - √15/7 - 2√5
= - 2/7 - 2√5
= - 2/7 - 2√5 x 7 + 2√5/7 + 2√5
= - 14 - 4√5/49 + 14√5 - 14√5 - 20
= - 14 - 4√5/ 29