Answer:
4 yards. The radius is half the diameter of the circle and the length of one point of the circle to the center of the circle.
Step-by-step explanation:
The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.
<h3>What is the Slope of the Sides of Similar Triangles?</h3>
On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.
Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.
Thus, slope of AC = slope of CE.
Learn more about slope on:
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Answer:
3x5
Step-by-step explanation:
The cost of children’s ticket is $ 5
<h3><u>Solution:</u></h3>
Let "c" be the cost of one children ticket
Let "a" be the cost of one adult ticket
Given that adult ticket to a museum costs 3$ more than a children’s ticket
<em>Cost of one adult ticket = 3 + cost of one children ticket</em>
a = 3 + c ------ eqn 1
<em><u>Given that 200 adult tickets and 100 children tickets are sold, the total revenue is $2100</u></em>
200 adult tickets x cost of one adult ticket + 100 children tickets x cost of one children ticket = 2100
200a + 100c = 2100 ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>
Substitute eqn 1 in eqn 2
200(3 + c) + 100c = 2100
600 + 200c + 100c = 2100
600 + 300c = 2100
300c = 1500
<h3>c = 5</h3>
Thus the cost of children’s ticket is $ 5
Answer:
333 ft^2
Step-by-step explanation:
Surface area is the sum of all the areas of the shape.
First, the area of the square in the center is simply 9x9 = 81.
The area of a triangle is (bh)/2, where b = base, and h = height
In the triangle, 9 is the base, and 14 is the height:
(9x14)/2 = 63
There are four triangles of the same area:
63 x 4 = 252
252 + 81 = 333
