Answer:
See answers below
Step-by-step explanation:
6) -12(a^5)(b^6)
7) -24(x^8)(y^11)
8) -30y^6
9) -6(x^4)(y^5)
10) 42(m^3)(n^5)
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The slope is 7 and the y-intercept is (0,9)
Answer:length of side a is 42
Step-by-step explanation:
The given triangle ABC is shown in the attached photo. The length of side BC is a. The length of side AC is b and the length of side AB is c = 100
The sum of the angles in a triangle is 180 degrees. Therefore.
Angle A + angle B + angle C = 180. Therefore,
20 + 35 + angle C = 180
55 + angle C = 180
Angle C = 180 - 55 = 125 degrees. To determine the length if a, we would apply the sine rule which is expressed as
a/SinA = b/SinB = c/SinC
Therefore,
a/Sin20 = 100/Sin125
aSin125 = 100sin20
a × 0.8192 = 0.342 × 100
0.8192a = 34.2
a = 34.2/0.8192
a = 41.75
Approximately 42
To find the missing length of a triangle we will use the Pythagorean Theorem.
Pythagoream Theorem = a^2 + b^2 = c^2
With this formula, we can find the missing side as follows:
27^2 + 36^2 = c^2
729 + 1,296 = C
2,025 = C
45 = C^2
There for we can conclude that the answer for the missing side is: 45 inches.
Answer:
34 gallons
Step-by-step explanation:
Water in tank = starting amount - rate * time
water in tank = 50 - 2 * time
Let the time = 8 minutes
water in tank = 50 - 2 * 8
= 50 - 16
= 34