The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us
... hypotenuse² = (side1)² + (side2)²
... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information
... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²
... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root
The ladder reaches 11.6 feet high on the barn.
Answer:
about 7.6 days long
Step-by-step explanation:
42 divided by 5.52 = about 7.6
Answer:
Mariya is 1 year old
Vikram is 7 years old
Step-by-step explanation:
Here, we want to know the present ages of Mariya and Vikram.
Let the present age of Mariya be M and the present age of Vikram be V
From the question, we are told that in 6 years time, Mariya will be as old as Vikram is now
Thus, mathematically;
M + 6 = V ••••••(i)
Furthermore , in 2 years time Vikram will be 3 time older than Mariya
Mathematically;
( V + 2) = 3( M + 2)
V + 2 = 3M + 6
V = 3M + 6-2
V = 3M + 4 •••••••(ii)
So let’s equate the V
3m + 4 = m + 6
3m -m = 6-4
2m = 2
m = 1
But V = m + 6
V = 1 + 6
V = 7
Answer:
Step 2
Step-by-step explanation:
Meredith made a fatal mistake or error in step 2;
Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;
From the given problem ;
<u> Wrong right</u>
2(x + 4)² = 242
(x + 4)² = 121 Step 1
x+4=11 Step 2 x + 4 = ± 11
x = 7 Step 3 x + 4 = 11 or x + 4 = -11
x = 11- 4 or x = -11 - 4
x = 7 or -15
