Answer: 7.5kg
Step-by-step explanation:
Since Bill made mortar mix and he used 24kg of sand and 5kg of cement. This means that for 1 kg of cement, (24/5) = 4.8 kg of sand is used.
Therefore, when he uses 36kg of sand, the kg of cement used will be:
= 36 / 4.8
= 7.5 kg
Therefore, he'll use 7.5kg of cement and 36kg of sand.
Answer:
120°
Step-by-step explanation:
Set up a proportion of the circle circumference and angle to the arc length and central angle x:
Solve for x:
Measurement of the central angle of the arc is 120°
Let x = your number.
6x = x^2 - 27. Subtract 6x from each side.
0 = x^2 - 6x - 27. Factor
0 = (x-9) (x+3). Set each term equal to zero
(x+3) = 0. Subtract 3 from each side.
x = -3. This is the negative solution.
(x-9) = 0. Add 9 to each side.
x = 9. This is the positive solution.
In Step 1, I used my straightedge to draw my first line segment. Using the straightedge is key to making a perfect line, so no mistakes will result from a messy line.
In Step 2, I named my two points. It is important to name your points so you do not get confused.
In Step 3, I used my compass to measure the exact width of line AB. I did this because I know later I will need to to create the copy line.
In Step 4, I drew a ray. I know the ray doesn't have to be perfect yet so I eyeballed the length. I named the starting point C.
In Step 5, I placed the compass that had the measurements from the original line on the new ray. I did this because I need to find the new point for the new line segment.
In Step 6, I used the compass to draw an arc. I drew the arc to show where the new point should go on the ray.
<span>Lastly, in Step 7 I put the new point on the line segment and named it D. </span>
Inverse operations are pairs of mathematical manipulations in which one operation undoes the action of the other