Answer:
x = 109
Top Right Angle = 109
Bottom Right Angle = 71
Step-by-step explanation:
Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.
(x-38) + x + 90 + 90 = 360
2x + 142 = 360
2x = 218
x = 109
(x - 38) = (109 - 38)
71 degrees for bottom right angle
109 for top right angle
Answer:
f(g(x)) = 15x³ - 5
Step-by-step explanation:
how confusingly described.
let me try and summarize what I understood :
f(x) = 3x² - 5
money earned when baking x cookies.
g(x) = sqrt(5x³)
the amount of cookies baked in x hours.
f(g(x)) now calculates how much money she earns when baking for x hours.
it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.
therefore,
f(g(x)) = 3×(sqrt(5x³))² - 5
with x now representing the baking hours, but f(...) calculating the overall money earned, by implicitly (!) calculating the amount of cookies baked in that time and taking that result automatically to calculate the earned money.
let's simplify this a little bit more.
f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5
Answer:
C. ????
Step-by-step explanation:
First, simplify
to
/ Your problem should look like:
Second, simplify
to
/ Your problem should look like:
Third, multiply both sides by 12 (the LCM of 3 and 4) / Your problem should look like:
Fourth, subtract 2 from both sides. / Your problem should look like:
Fifth, simplify -9x + 12 - 2 to -9x + 10. / Your problem should look like:
Sixth, add 9x to both sides. / Your problem should look like:
Seventh, add 8x + 9x to get 17x. / Your problem should look like:
Eighth, divide both sides by 17. / Your problem should look like:
Answer as fraction: x =
Answer as decimal: x = 0.5882
The least common denominator of 10 and 15 is 30. It's easiest to use trial and error to find the LCD. In this case, just multiply both numbers by 2 and see if that works. Since 15 doesn't go into 20, I tried multiplying 15 by 2 instead, and got 30, which is divisible by 2. If that doesn't work, move on to multiplying them by 3, then 4 four, and so on. However, in this case, it did work, so, since you multiplied 15 by two to get 30, multiply 7 by two to get the fraction 14/30. Then, since you multiplied 10 by 3 to get 30, multiply 2 by 3 to get 6/30. Then, add the two together to get 20/30 and simplify the fraction to 2/3.
2/10 + 7/15 Given.
6/30 + 14/30 LCD.
20/30 Add.
2/3 Simplify.
