Since this is a 45-45-90 right triangle, the hypotenuse = sqrt2 * leg
24 is the hypotenuse so we need to find the leg.
24 = sqrt2 * leg
Divide both sides by sqrt2
leg = 16.97
A = (1/2)b*h
A = (1/2)*16.97*16.97
A = 144ft^2
Answer:
<em>First even integer: 6</em>
Step-by-step explanation:
<u>Inequalities</u>
Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.
The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:
Operating:
Subtracting 2 and 2x:
Simplifying:
Solving:
x>5
There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):
First integer: 6
Second integer: 8
Third integer: 10
There are other solutions, like 20,22,24 but the first set is 6,8,10.
Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
Answer:
Option A.
Step-by-step explanation:
The table made by the painter shows the amount of paint required to cover a certain amount of area of the wall.
Amount of paint is directly proportional to the area covered
In other words Amount of paint (y) ∝ Area covered (x)
y ∝ x
As we know when proportionality sign is removed, a constant known as proportionality constant is multiplied with the variable.
So y = k(x) where k is the proportionality constant
Now from the table to cover the area of 64 square feet, 4 pints of paint is required.
Now from the formula
4 = 64x
x =
Now we have to calculate the amount of paint required to cover the area of 256 square feet.
y =
y = 16 pints
Therefore, 16 pints of the paint will be required to cover 256 square feet.
Option A is correct.