Answer:
167.42
Step-by-step explanation:
p = 1/q²
22 = k* 1/8² .........k is the constant which we re finding now
k = 1408
p = 1408/2.9²
= 167.42
Answer:
95 5/8 i thin k
Step-by-step explanation:
Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.
For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.
Answer:
c. 74
Step-by-step explanation:
We know that the two lines are parallel, therefore Angle N and Angle F are equivalent as they are corresponding angles. We can first find Angle F to find Angle N.
Angle F + 106 = 180 (Linear pair/supplementary angles)
Angle F = 74
Angle N = Angle F
Angle N = 74
Your answer would be 44in².
To find the area of the shaded part, we need to find the area of the whole triangle and then subtract the area of the small rectangle.
The equation for the area of a triangle is (base × height)/2, so in the triangle we’re given we can deduce that the total height is 8 inches, as it’s the 5 inches already shown in the triangle plus the height of the rectangle. We can also deduce that the base of the triangle is 14 inches long, because we end up with 5 + 5 + 4 = 14.
This gives us the area of the triangle as (14 × 8)/2 = 112/2 = 56 in².
Now we just need to find the area of the rectangle which is simply base × height. This gives us 4 × 3 = 12 in².
Our final answer is therefore 56 - 12 = 44 in².
I hope this helps!