Answer:
706.5 sq ft
Step-by-step explanation:
If the farthest point is 30 feet away, the diameter of the circle is 30, so the radius is 15.
Area of a circle is pi r*2
3.14 x 15^2 = 706.5 sq ft
Answer:
Step-by-step explanation:
Number of nickels with Jayden = x
Number of pennies with Jayden = y
Since, number of coins is at most 14,
x + y ≤ 14 -------(1)
Worth of nickels = $0.05x
Worth of pennies = $0.01y
Since, worth of pennies is not less than $0.34,
0.05x + 0.01y ≥ 0.34
5x + y ≥ 34 --------(2)
By using a graphing calculator,
Common point of of both the inequalities is (5, 9)
Therefore, Number of nickels = 5
Number of pennies = 9
Answer:
39 feet.
Step-by-step explanation:
E use the Pythagoras theorem:
40^2 = 8^2 + h^2 as h is the height we require.
h^2 = 1600 - 64
h^2 = 1536
h = 39.19 feet
Answer:
a) 625; 625; right triangle
b) 205; 256; obtuse triangle
Step-by-step explanation:
The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.
<h3>left side</h3>
7² +24² = 49 +576 = 625
25² = 625
The sum of the squares of the short sides is the square of the long side, so this is a right triangle.
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<h3>right side</h3>
6² +13² = 36 +169 = 205
16² = 256
The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an <em>obtuse triangle</em> (as shown).
Answer:
206.6 unit^2 to the nearest tenth.
Step-by-step explanation:
We use the formula Area= 1/2 ab sin A
= 1/2 + 19 * 24 sin 65
206.64 unit^2.