January: 32
February: 28
The percent change is a percent decrease.
Answer: 10.9
Step-by-step explanation:
You would use Pythagorean theorem:
5x5+12x12=c
5x5=25
12x12=144
Now, 25+144=169
Now find the square root of 169 which is 13 which isn't an answer choice, which means your prolly after a leg.
I assume 12 is the hypotenuse
A(squared)+5x5=12x12
A+25=144
144-25=119
Square root of 119=10.9
So I'm going to go with answer 10 in or 11 if you round.
Answer:
Ratio as a fraction in simplest form is, 
Step-by-step explanation:
Ratio defined as the relationship between the quantities of something i.e,
a: b = 
Given: 51 correct : 9 incorrect
By definition of ratio:
51 correct : 9 incorrect = 
Divide both numerator and denominator by 3 we get;
then
The ratio as a fraction in simplest form is, 17 correct : 3 incorrect or
Answer:
x = 4 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
x^4 - 9 x^2 - 22 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 4) (x + 2) (x^2 + 2 x + 3) = 0
Split into three equations:
x - 4 = 0 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Add 4 to both sides:
x = 4 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Subtract 2 from both sides:
x = 4 or x = -2 or x^2 + 2 x + 3 = 0
Subtract 3 from both sides:
x = 4 or x = -2 or x^2 + 2 x = -3
Add 1 to both sides:
x = 4 or x = -2 or x^2 + 2 x + 1 = -2
Write the left hand side as a square:
x = 4 or x = -2 or (x + 1)^2 = -2
(x + 1)^2 = -2 has no solution since for all x on the real line, (x + 1)^2 >=0 and -2<0:
Answer: x = 4 or x = -2
Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
