A <u>formula</u> is a mathematical statement that calculates a value and each formula must always begin with an equal sign. A formula is used to express the mathematical relationship, information and rules symbolically and concisely. It basically summarizes the solution to a problem.
1) The lengths of the other 2 sides are 51 feet.
Isosceles triangles have at least 2 equal sides. The base is 60 feet, so we can assume that the other 2 sides are equal
162 = 60 + 2x
x = the equal sides of the triangle.
162 - 60 = 102
102 = 2x
Divided by 2
51 = x
51 + 51 = 102. 102 + 60 = 162
2)
Pool 1: 311.38ft.
8*19.4 = 155.2
8 * 5.7 * 2 = 91.2
5.7 * 5.7 = 32.49/2 (because its a triangle) = 16.254*4 = 64.98
155.2 + 91.2 + 64.98 = 311.39
Pool 2: Either 863.94ft or 484 + 121πft
22 * 22 = 484
22/2 = 11, So, the radius of the half circle is 11
Circle area = (pi)r^2
11*11 = 121
pi * 121 = 121pi
Using 3.14 substitute: 3.14 * 121 = 379.94
379.94 + 484 = 863.94
Pool 3: 207ft
Rhombus area = pq/2
18 * 12 = 216
216/2 = 108
11 * 18 = 198/2 = 99
99 + 108 = 207
Since LM = AM, point M must be on the perpendicular bisector of AL. Since AM = BM, BL must be perpendicular to AL. This makes ∆ALC a right triangle with hypotenuse AC twice the length of side AL. Hence ∠LAC = ∠LAB = 60°, and AL is angle bisector, median, and altitude.
ΔABC is isosceles with ∠A = 120°, and ∠B = ∠C = 30°.
Answer:
A. 0
B. -66
C. 4
D. 998
E. -12
Step-by-step explanation:
A. By definition, the sum of anything and its additive inverse is zero.
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B. If you have trouble with sums, your calculator can help.
-22 + (-44) = -22 -44 = -66
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C. -36/x = -9 can be solved by multiplying by x and dividing by -9:
-36 = -9x
-36/-9 = x = 4
Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.
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D. The absolute value function changes the sign of negative numbers to positive:
|-998| = 998
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E. If you have trouble with sums, your calculator can help.
(−2)−[(−3)−(−7)−(−6)]
= -2 -(-3 +7 +6) = -2 -10 = -12
