Answer:
A ≈ 3420 cm²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 33² = 1089π ≈ 3420 cm² ( to 3 significant figures )
Answer:
Step-by-step explanation:
Let “a” be the first term and ”r” the common ratio of the GP. Then,
f(n) = ar^(n - 1).
f(2) + f(3) = 6f(4). (given)
ar + ar^2 = 6ar^3, or
1 + r = 6r^2, or
6r^2 - r - 1 = 0,
(3r + 1)(2r - 1) = 0.
r = -1/3, or 1/2.
If the common ratio is positive and the second term is 8 we have,
ar = 8, or
a*1/2 = 8, or a = 16.
f(n) = 16*(1/2)^(n - 1) = 2^4*2^(1 - n), or
f(n) = 2^(5 - n).
The first six terms of the GP are : 16, 8, 4, 2, 1, 1/2,…
××××××××××
Checking : f(2) + f(3) = 6f(4), (given).
LHS = 8 + 4 = 12.
RHS = 6* 2 = 12.
LHS = RHS.
Answer:
35
Step-by-step explanation:
First, we add the ratio of the mango to strawberry ice cream and we're going to end up with 2+5=7. If we divide 49 by 7, we're going to find out how much we need to multiply to both sides of the ratio to get the specific amounts. So, if we multiply 7 (49/7) to 5, we're going to get 35. Therefore the number of strawberry ice cream is 35.
Also, we can check this by multiplying 7 to 2 as well, where we will end up with 14. 35 + 14 = 49 so we know this is correct!
Answer:
The answer to your question is: 320
Step-by-step explanation:
Data
1/4 of the calories in a chocolate - 10 = calories in an apple
Equation
Calories in a chocolate bar = 4(calories in apple + ten)
= 4(70 + 10)
= 4(80)
= 320
Answer:
x=-92 is the answer I hope it helps