Answer:
156 square inches
Step-by-step explanation:
We are given the two quantities
Let
length = l = 13 inches
and
Width = w = 12 inches
The formula for the area of rectangle is:

where l is length and w is width
Putting the values of both that are given

so the area is 156 square inches ..
It's a half of an equilateral triangle because their angles measure 30° and 60° (an equilateral triangle has 3 angles of 60°)
So x=(2h/√3)/2=h√3=27√3≈15.6
Yvonne ran up 12 flights of stairs.
Explanation:
Understand the situation:
Yvonne ran up 1/4 of the total stairs. Afterwards, she walked the REST of the stairs, which is said to be 9 STAIRS. HOW MANY flights of stairs IN TOTAL did she run up?
When she ran the REST of the stairs, it meant she ran the other 3/4 of stairs because:
1 - 1/4 = 3/4
To add someting, that means that the 9 stairs is 3/4 of the total stairs, so lets fins the total stairs using this information:
9 ÷ 3/4 = 12
LETS CHECK IF 9 IS REALLY 3/4 of 12:
12 x 3/4 = 9
HOPE THIS HELPS
-SpaceMarsh
Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
9514 1404 393
Answer:
{2.96, 12.66}
Step-by-step explanation:
A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.
__
You can solve the equation h = 600 to find the times.
-16t^2 +250t = 600
-16(t^2 -15.625t) = 600
-16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)
-16(t -7.8125)² = -376.5625
t -7.8125 = √(376.5625/16) ≈ ±4.8513
t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}
The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.