find the perimeter of a triangle with sides 15 inches, 15 inches, and 21 inches length
To find the perimeter of a triangle we add all the sides of the triangle
The length of the sides of the triangle are given as 15 inches, 15 inches, and 21 inches
Perimeter of a triangle =
15 inches + 15 inches + 21 inches = 51 inches
So 51 inches is the perimeter
Answer:
22.5 hours
Step-by-step explanation:
191.25 divided by 8.50 hours will get you the total amount of hours she worked
I used 3.14 for pi to solve easier.
6. 6.28
7. 21.98
8. 94.2
Answer:
B. $136,960.54
Step-by-step explanation:
Rate = r = 4%
Times = b = 4
Future Value = A = $315,930
No. pf Years = n = 21
Present Value = P = ?
A = P [1 + (r / b)]ⁿᵇ
$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴
$315,930 = P [1 + 0.01]⁸⁴
$315,930 = P [1.01]⁸⁴
$315,930 = P x 2.306723
P = $315,930 / 2.306723
P = $136,960.54
Answer: 20 oz of juice concentrate and 60 oz of water.
Explanation:
Translate the word statements into algebraic expressions to set a system of equations that you can solve.
1) Name the variables:
- j: parts of juice concentrate
- w: parts of water
2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:
j / w = 2 / 6
3) Statement two, 80 oz of the drink, tanslates into an equality:
j + w = 80
4) Solve the system to find how many oz of juice concentrate and water Elena needs:
a) System:
j / w = 2 / 6
j + w = 80
b) Solve for w in the first equation: w = 6j / 2 = 3j
c) Substitute w in the second equation: j + 3j = 80
d) Combine like terms: 4j = 80
e) Use division property of equality: j = 20
f) Substitue in w = 3j: 3 = 3(20) = 60.
5) Solution: j = 20, w = 60.
6) Verify:
- j / w = 20 / 60 = 2 / 6 ⇒ right
- j + w = 20 + 60 = 80 ⇒ right
