Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Answer:
C = π(6)
C = 6π
C = 18.84
Step-by-step explanation:
The circumference is the distance around the circle. It relates the number of times the diameter will encircle the circumference as 3.14 or π. As a result, the formulas for the circumference of a circle are C = 2πr or C = πd. The information given is the diameter so use C = πd by substituting d = 6.
C = π(6)
C = 6π
C = 18.84
Answer:
x² + 4x + 20 = 12x - 5
x² + 4x - 12x + 20 + 5 = 0
x² - 8x + 25 = 0
Δ = √b² - 4ac
= √(-8)² - 4×1×25
= √64-100
= √(-36)
x ∉ R
Answer:
x=60
Step-by-step explanation:
This is a parallelogram.
For a parallelogram,
sum of angles in one side is 180.
we know, in a parallelogram,
the consecutive angles are supplementary or
their sum is 180.
So, we get,
x+33+87=180
or, x+120=180
subtracting 120
x+120-120=180-120
or, x=60
Answer:
-60
Step-by-step explanation: