Answer:
a = 36
Step-by-step explanation:
We use pythagoras theorem here.
h = 60
p = 48
b = a
h² = p² + b²
60² = 48² + b²
3600 = 2304 + b²
b² = 3600 - 2304
b² = 1296
b = 36
Answer:
- A. the distance between points W and X
Step-by-step explanation:
<u><em>Looking for the distance of 5 units</em></u>
A. the distance between points W and X
- -3 - (-8) = -3 + 8 = 5
- Correct
B. the distance between points X and Y
- 1 - (-3) = 1 + 3 = 4 < 5
- Incorrect
C. the distance between points X and Z
- 5 - (-3) = 5 + 3 = 8 > 5
- Incorrect
D. the distance between points Y and Z
Answer:
182
Step-by-step explanation:
5 yards = 5*3 = 15 feet
15 feet = 15 * 12 = 180 inches.
There are 2 more inches in the ribbon. 180 + 2 = 182 inches.
Answer:
452.16 inches²
Step-by-step explanation:
→ Write circle area formula
π × r²
→ Substitute in the numbers
3.14 × 12²
→ Simplify
452.16 inches²
Answer:
r = - 7, r = - 5
Step-by-step explanation:
Given
r² = - 12r - 35 ( add 12r to both sides )
r² + 12r = - 35
To complete the square
add ( half the coefficient of the r- term )² to both sides
r² + 2(6)r + 36 = - 35 + 36
(r + 6)² = 1 ← take the square root of both sides )
r + 6 = ± 1 ( subtract 6 from both sides )
r = - 6 ± 1, thus
r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5
