The answer is 16.
First of all, you need to divide 4 by 1/4.
4/1 / 1/4 = 1.
15 - 1 + 2
Next, you go from left to right with addition and subtraction, so subtract 1 from 15 first.
15 - 1 = 14
14 + 2
Finally, add 14 and 2.
14 + 2 = 16.
Answer:
2 2/3 lbs
Step-by-step explanation:
Convert Alya's mixed number to an improper fraction
3*1+1 = 4/3
multiply 4/3 times 2/1
4*2 = 8
3*1 = 3
8/3 - convert back to mixed number
8/3 = 2 2/3
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
