Answer: Approximately d = 208.72
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Work Shown:
Make sure your calculator is in radian mode
A quick way to check is to compute cos(pi) and you should get -1
cos(angle) = adjacent/hypotenuse
cos(x) = 200/d
cos(0.29) = 200/d
d*cos(0.29) = 200
d = 200/cos(0.29)
d = 208.715135166392 which is approximate
d = 208.72
I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.
Answer:
Step-by-step explanation:
- Let (applicable to all three lines below)
- Hard candy = x kg with price $1.60/kg
- Gummy worms = y kg with price $2.20/kg
- Total weight = 50 kg with mixed price $1.75/kg
<u>Required equations:</u>
- x + y = 50 total weight
- 1.60x + 2.20y = 50*1.75 total price
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<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>
<u>Simplify the second equation and solve by substitution x = 50 - y:</u>
- 1.6(50 - y) + 2.2y = 87.5
- 80 - 1.6y +2.2y = 87.5
- 0.6y = 7.5
- y = 7.5/0.6
- y = 12.5
<u>Find the value of x:</u>
<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg
Answer:
sum of 22nd = 1,428.05
sum of 23 to 40 is 932.53
Step-by-step explanation:
A(n)=20(1.1)^n-1
20 is the first term or a1
1.1 is the common ratio or r
A(22) = 20(1.1)^22-1
22nd term = 20(1.1)^21
22nd term = 148.00
sum of geometric sequence
formula
Sn = a1(1-r^n)/1-r
Sn = sum
a1 = first term
n = number of term
r = constant ratio
sum of 22nd = 1,428.05.
23 to 40 is 17 terms
Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...
The 17th term: 105.684378686
Sum of the first 17 terms: 932.528165548
socratic
miniwebtoolcomgeometricsequencecalculator
Cameron is 72 inches tall.
2/3 of 72 = 48
