Step-by-step explanation:
3a-3(a+2)=10
3a-3a-6=10
+3 +3
6a-6=10
+6 +6
6a=16
Answer: 160 inches.
Step-by-step explanation:
If an octagon has 8 sides and the side length is 20 inches, 20 x 8 = 160 inches. That means she needs 160 inches of wire.
Answer:
x = 5√2
y = 5√6
z = 5√3
ΔABC ~ ΔBDC ~ ΔADB
Step-by-step explanation:
ΔABC, ΔBDC, and ΔADB are all similar triangles to each other.
By definition of similar triangles, the corresponding sides have the same ratios.
CD from ΔBDC corresponds to BD from ΔADB, and BD from ΔBDC corresponds to AD from ΔADB. So:
CD / BD = BD / AD
10 / x = x / 5
x² = 50
x = 5√2
Since ΔBDC is right, we can use the Pythagorean Theorem to solve for y:
CD² + BD² = BC²
10² + (5√2)² = y²
y² = 100 + 50 = 150
y = 5√6
Again, since ΔΔABD is right, we can use the Pythagorean Theorem to solve for z:
AD² + BD² = AB²
5² + (5√2)² = z²
z² = 25 + 50 = 75
z = 5√3
Answer:
41 2/3 oz of water
Step-by-step explanation:
All you have to do is multiply 8 1/3 by 5.
First, lets convert 8 1/3 into an improper fraction (a fraction where the numerator is greater than the denominator):
8 1/3 = 25/3
now, we can multiply 25/3 by 5 and get 125/3, which simplifies to 41 2/3
Answer:
v=9
Step-by-step explanation:
12v-44+6v+23+15v-9+v+30+6v=360
40v=360
v=9
