Hey there, Lets solve this step by step.
<span>A number t divided by 82
</span>
Let the number be represented by y.
<span>t divided by 82 = t / 8
</span>
Therefore-
<span>In algebraic expressions, "y" is normally used as the dependent variable and "x" is normally used as the independent variable, instead of other variables. So that is why i used the variable y in the equation. </span>
Ah! I love these questions!
To find the area of the shaded region, you must find the area of the circle. Then, you must find the area of the triangle inscribed in the circle. Lastly, you must subtract the area of the triangle from the area of the circle.
Area of Circle:
x
=
x 10^2
=
x 100
Usually these problems will not require you to convert pi into a decimal, but if it does, then the area of the circle would be 314.
Area of Equilateral Triangle:
To find the side, draw a perpendicular line from the center to a side of a triangle. This line will create two more triangles inside the big triangle. You will notice how in these smaller triangles, the angles are 30, 60, 90. From that we can deduce that half the length of a side is 5
because of the 30, 60, 90 ratio. Multiply that by 2 to get 10
as the length of the side of the large triangle. Now substitute this value into the formula above.
Final Answer: 100
- 75
Answer:
$7.09
Step-by-step explanation:
Let wheat shipment be x bushels
Per bushel cost = 5.35
So x bushels cost = 5.35x
Achieving markup of 6% means 1.06 * 5.35x =5.671x
20% spoiled means 80% of x stays, so 0.8x will need to be sold at 5.671x
Selling price should be 5.671x/0.8x = $7.09
So that's 7 dollars and 9 cents
Answer:
a. 15 on top 8 on bottom
b. 2 on top -3 on bottom
c. 4 and 2
d. 4 on top 8.5 on bottom
e. -3 and -4
Step-by-step explanation:
multiply the two numbers on the sides to get the top answer and add them together to get the bottom answer.
