Answer:
6√x
Step-by-step explanation:
9√x - 3√x = 6√x
Answer:
3 is the correct answer
u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here
4/(4/3) = 3
also 12/4 = 3
also 36 /12 = 3
hence the common ratio for this GP is 3
hope it helped
Step-by-step explanation:
Answer:
Green Material: <u>129.6</u> in³
Brown Material: <u>194.4</u> in³
Step-by-step explanation:
The volume of the bin is 4×18×9 in³ or 648 in³
20% of 648 is 129.6 in³ (brown material)
30% of 648 is 194.4 in³ (green material)
It may help to draw a picture as you start planning this problem and draw a circle, showing a circle which represents the scale needle's range of motion 360 degrees around. The needle length will then be the radius of that circle.
We know that the needle rotated 68 degrees and are trying to find the distance it traveled in cm. To find out how far the needle traveled, we need to find the arc length - in this case, the distance between the needle's starting point and where it ended up after the oranges were placed on the scale on the circle.
There is a formula you can easily use to find the arc length
arc length = 2*
*r (
)
We need to input the radius, r into this formula, as well as the central angle measure c, which in this case is 68 degrees.
2
(16) (
)
If you multiply the above formula components all together using a calculator, you will get ~18.99. (When rounded to the second decimal place.)
So, the answer is around 19 cm. (Your answer may vary depending on how your teacher usually wants you to round answers.)
As always, the sum of the measures of the angles in a triangle is 180°.
(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4
a) The value of x is 30.