Answer:
1)
a)
We are given one leg of triangle as 6 km and the other leg is of length of 8 km.
Hence, the hypotenuse is calculated using Pythagorean theorem as:
Hence, the hypotenuse of the triangle or the missing side x=10 cm.
Now we calculate trignometric ratio with respect to angle a and b as:
b)
We know that:
Sine of an angle is ratio of perpendicular to hypotenuse.
Cosine of an angle is ratio of base and hypotenuse.
And tangent of an angle is ratio of perpendicular and base.
<u>Angle a:</u>
We have perpendicular=8
Base=6
Hypotenuse=10
Hence,
sin a=8/10
cos a=6/10
tan a=8/6
<u>Angle b:</u>
Perpendicular =6
Base=8
Hypotenuse=10
Hence,
sin b=6/10
cos b=8/10
tan b=6/8
Rational numbers are sometimes natural numbers. For example, the number 1 is both a rational and natural number. Remember that natural numbers are 1, 2, 3, 4.. etc. Rational numbers are any number that can be expressed as a ratio of 2 integers. 1/1 is rational.
Most rational numbers, however, are not natural. For example, 3/4, 89/88, and so on.
2(\frac{Area}{h} ) - b1 = b2
Step-by-step explanation:
The formula for calculating the area of a trapezoid is the following.
Area = \frac{b1+b2}{2} * h
What we are asked to find is the formula for finding b2. We can do this by rearranging the Area formula and getting b2 by itself on one side.
Area = \frac{b1+b2}{2} * h
\frac{Area}{h} = \frac{b1+b2}{2} .....divide h on both sides
2(\frac{Area}{h}) = b1+b2 .... multiply 2 on both sides
2(\frac{Area}{h} ) - b1 = b2 ....subtract b1 on both sides
Now we have b2 by itself on one side and the formula is rewritten to solve for b2.
Answer:
your perimeter will be 40cm
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