Answer:
387 km
Step-by-step explanation:
The length of AC, b can be obtained using the cosine rule ; using the cosine relation:
b² = a² + c² - 2ac CosB
b² = 250² + 185² - 2(250*185) Cos125
b² = 62500 + 34225 - 92500 * −0.573576
b² = 96725 + 53055.820
b² = 149780.82
b = sqrt(149780.82)
b = 387.01527
b = 387 km (nearest whole number)
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Answer:80cm^2
Step-by-step explanation:
Area of a parallelogram=base×height
In the above diagram we were given a base of 16cm and height of 5cm
Therefore area of the parallelogram=16×5 which is equal to 80cm^2
Answer:
96
Step-by-step explanation:
First, the total area is base * height, which is 12*12=144. Next, we subtract the unshaded area, which is 6*8=48. 144-48=96, which is your answer
The three equivalent fractions for are, and .
<h3>What are equivalent fractions</h3>
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, and are equivalent fractions, because they both are equal to the . A fraction is a part of a whole. Equivalent fractions represent the same portion of the whole.
Given that:
Therefore, The three equivalent fractions for are, and .
Learn more about equivalent fractions here:
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