Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
Use the compound amount formula:
A = P(1+r)^t
Here, A = £2000 (1+0.03)^2 = <span>£2121.80 (answer)</span>
8.49 x 10⁻⁷ = 0.000000849
1. Is angle 2 and angle 5 are supplementary and the reason is the given
4. The answer is L || M because of the converse of the CIA theorem( corresponding interior angles)
Answer:
easy peasy lemon squeasy
Step-by-step explanation:
1. base of triangle: it is an equilateral triangle, so any side of the triangle you take is the base, (usually the largest side of the triangle is the base)
so that would be => 10 inches,
2. a property of an equilateral triangle is that , the median of the triangle coincides with the height of the triangle,
therefore, the height bisects the base and makes a right triangle with another side, therefore by using the Pythagoras theorem, we find it to be 8.66(approx)
now,
area of the triangle would be (putting the values we just found in the formula given)
=> [(10)(8.66)]/ 2
=>43.3 square inches
