Answer:
Each oven is discounted by $40
Step-by-step explanation:
Total discount for 12 ovens is $480, so:
$480/12 = $40
$40 discount per oven.
In the given diagram:
measure angle DAB + measure angle BAC = 90 degrees
we are given that measure angle DAB = 10 degrees
Therefore:
measure angle BAC = 90 - 10 = 80 degrees
Now, triangle ABC is a right-angled triangle which means that we can use the trigonometric functions.
The function that we will use is:
cos theta = (adjacent) / (hypotenuse) where
theta = 80 degrees
adjacent = 500
hypotenuse is "x" that we want to calculate.
Substitute to get x as follows:
cos 80 = 500 / x
x = 500 / cos 80 = 500 / 0.1736 = 2879.4 m
Area of a sector of a circle is (Angle of Sector/360°)*πr^2
If you plug in the given values, you get (30°/360°)*36π
Simplify the equation.
(1/12)*36π
Simplify the equation again and you get your answer.
Area = 3π
Hello,
Starting with problem one:
Subtract 66 from both sides.
z2−9z−66=66−66
z2−9z−66=0
Use quadratic formula with a=1, b=-9, c=-66.
z = 9/2+1/2√345
Problem two:
Subtract 17 from both sides.
y^2+16y−17=17−17
y^2+16y−17=0
Factor left side of equation.
(y−1)(y+17)=0
Set factors equal to 0.
y−1=0 or y+17=0
y=1 or y=−17
ANSWER: y=1 or y=−17
Problem 3:
2h^2−5h−(−1)=−1−(−1)
2h^2−5h+1=0
Use quadratic formula with a=2, b=-5, c=1.
ANSWER: h=5/4+1/4√17
Have an amazing day.