Answer:
x = 22 (see explanation!)
Step-by-step explanation:
Just with any algebraic equation, you will want to isolate the variable (x). Here's a step-by-step to show you how it's done:
1/7(x + 6) = 4
Multiply by 7 to get rid of the 1/7 (since 7 * 1/7 = 7/7 = 1)
7*1/7(x+6) = 7*4
x+6 = 28
Now, subtract 6 from both sides to isolate x:
x + 6 - 6 = 28 - 6
Finally:
x = 22
If you are looking for the expression, that would be (x+4)/3
The answer is 17 1/4...but you probably can’t have 1/4 of a pie, so Mat can make a total of 17 pies
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
