17/32. You can turn 5/16 into 10/32. 17/32>10/32
Answer:
$133.9
Step-by-step explanation:
<em>I believe the unit being used in the problem above is dollar ($).</em>
The problems above can be easily solved by using <em>multiplication operation </em>and <em>addition operation </em>afterwards.
Given: Bermuda sod = <em>$2.25 per piece</em>
Zoysia sod = <em>$3.32 per piece</em>
Let's solve for the cost of buying the Zoysia sod.
20 pieces x $3.32 per piece = $45 dollars
The total cost of the Zoysia sod that Becky will buy is $66.4.
Next, let's solve for the cost of buying the Bermuda sod.
30 pieces x $2.25 per piece = $67.5
The total cost of the Bermuda sod that Becky will buy is $67.5.
Let's get the total cost.
$66.4 + $67.5 = $133.9
<em>It will cost Becky $133.9 to buy 20 pieces of Zoysia sod and 30 pieces of Bermuda sod.</em>
We first need to convert 3x - 2y = 8 into y = mx + b form.
To do this, we first subtract 3x from
both sides and we have -2y = -3x + 8.
Now divide both sides by -2 and we have y = 3/2x - 4.
Now, we want the slope parallel to this given line.
Since the m or the coefficient of the x term
represents slope, we know this line has a slope of 3/2.
Now, it's important to understand that parallel lines have the same slope.
So the slope of the line parallel to this line will also be 3/2.
The measure of angle D in the inscribed triangle is as follows;
∠D = 63 degrees
<h3>How to solve circle theorem?</h3>
The circle theorem can be use to find the ∠D as follows;
The triangle BCD is inscribed in the circle.
Using circle theorem,
The angle of each triangle is double the angle of the arc it create.
Therefore,
arc BC = m∠D
m∠B = 134 / 2 = 67 degrees.
Therefore, using sum of angles in a triangle.
67 + 50 + m∠D = 180
m∠D = 180 - 50 - 67
m∠D = 63 degrees.
learn more on circle theorem here: brainly.com/question/19906313
#SPJ1
Answer:
Step-by-step explanation:
Remark
The triangle with the shaded region makes exactly 1/4 of the entire circle. So the plan is to find the area of the circle and divide by 4. That gives you the area of the triangle and the shaded region. Then you find the area of the triangle and subtract it from what you just found.
Area of the circle
Area of the circle = pi * r^2
r = 12 cm
pi = 3.14
Area of the circle = 3.14 * 12^2
Area of the circle = 3.14 * 144
Area of the circle = 452.16 cm^2
Area of 1/4 of the circle
Area of 1/4 of the circle = (1/4)*452.16
Area of 1/4 of the circle = 113.04
Area of the triangle
b = r
h = r
b = 12 cm
h = 12 cm
Area = 1/2 b * h
area = 1/2 * 12 * 12
area = 72
Area of the shaded part
Shaded part = area of 1/4 of the circle - area of triangle
Area shaded part = 113.04 - 72 = 41.04
Answer area of shaded part = 41.04
