Answer: x=-1
Step by step:
2|x+6|+9=19
Subtract 9 from both sides.
2|x+6|=10
Divide both sides by 2
|x+6|=5
Use the definition of absolute value.
x+6=5
Subtract 6 on both sides
x=-1
Hope this helped! :)
Answer: 4/45
Step-by-step explanation:
Two complementary angles must add to 90 degrees, and if you divide 90 into thirds (two parts for the larger angle, one for the smaller), then you get 30 degrees.
If the smaller angle is 30 degrees, then the larger is two times that, which is 60. 60 + 30 = 90, so the larger angle is equal to 60 degrees.
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so

we have that the base and the height of triangle is equal to the radius of the circle

substitute


simplify
Factor 36

Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
<em>The circumference of a quarter of circle is equal to</em>

substitute the given values


The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)


simplify

Find the perimeter

simplify
Factor 6

Answer: Onion = 79.17 kg
Grilled steak = 538.356 kg
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
1 k + 6.8 k = 617.6
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.6
k = 617.6 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.8 (79.17) = 538.356 kg
Feel free to ask for more if needed or if you did not understand something.