Answer:
Step-by-step explanation:
Solving for w:
Look at the right triangle on the left side. It has a 32-deg angle, a hypotenuse of length 5, and a leg of length w. For the 32-deg angle, w is the opposite leg. We have an opposite leg and a hypotenuse, so we use the sine.
Solving for x:
Now look at the right triangle on the right side. There is an acute angle measuring x, an opposite leg measuring 2.6495 (from the solution above), and a hypotenuse measuring 6. We use the sine again.
Since we know what the sine of angle x is equal to, and we want to know the measure of angle x, we use the inverse sine function, also called the arcsine.
Answer:
i) move constants to the right-hand side and change its sign
ii) subtract the numbers
iii) add (12/2)² to both sides of the equation
iv) using a²-2ab+b²=(a-b)² , factorize the expression
v) calculate the value
vi) reduce the fraction
vii) solve the equation for x
1) first value of x
2) second value of x
Angle W is 125 degrees since the two have to add up to 360, since they form a whole, round angle.
Angle Y is 138 degrees, since the two angles there form a straight line, making a total of 180, then subtracting 42 to find y.
Angle X is 50 degrees, since in the diagram, it shows that the two angles form a right angle, giving it a total of 90 degrees. Then all you have to do is subtract 40.
Now, for Angle Z, you have to add up all the angles you know in shape B, which is 125+138+40=303. Now, since all quadrilaterals interior angles add up to 360 degrees, you do 360-303=57. So, Angle Z =57
Answer:
3,786
Step-by-step explanation:
48 gallons... since the first shower head gives 9 gallons per minute you multiply 9 by 8 then you use the equation and multiply 3 by 8 then you subtract the two shower heads
