Answer:
You use the facts about a 30, 60, 90 triangle.
Step-by-step explanation:
The angles in a triangle add up to 180.
90+30+x=180
120+x=180
x=60
This is a 30-60-90 right triangle.
The side opposite the 30 degree angle is a.
The side opposite the 90 degree angle (hypotenuse) is 2a.
The side opposite the 60 degree angle is a
We know the side opposite the 90 degree angle.
2a = 12
Divide by 2.
a=6
a is the side opposite the 30 degree angle (y)
Because we know a, we can find a
.
6
The square roots cancel, leaving 3.
6 times 3 is 18.
Therefore, the side opposite the 60 degree angle (x) is 18.
1/3 x^(-2/3) cos (x^1/3) + 1/3(sinx)^-2/3 .cos x
Step-by-step explanation:
Given the equation that represents this order expressed as;
The number of tiles = 12b + 38 where;
b is the the number of bundles ordered
If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;
On substituting;
150 = 12b + 38
12b = 150 - 38
12b = 112
b = 112/12
b = 9.33
b ≈ 9 bundles
We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.
Answer:
-3y+39x-4
Step-by-step explanation:
3y minus 7y plus y is -3y. 18x plus 21x is 39x. 9 minus 13 is -4
Answer:
7 pieces
Step-by-step explanation:
change 4 5/6 into an irregular fraction. 29/6
divide 29/6 by 2/3. to do this, flip and multiply
29/6 * 3/2 = 87/12 = 7.25 or 7 whole pieces