Pythagoras Theorem
State the Pythagoras' Theorem
a2 + b2 = c2
Trigonometric Ratios can be used to find missing sides or angles in any triangle. T/F
False
Define binary operation
An operation that combines 2 elements to form a single result
What is the difference between direct variation and inverse variation?
With direct variation, bothe variables move in the same direction while with inverse variation, the variables move in opposite directions
A right angled triangle has legs measuring 6cm and 8 cm. Find the hypotenuse
10cm
In a right-angled triangle, the sine of an acute angle is always equal to the ratio of the length of the adjacent side to the hypotenuse.
False
A kite is flying 60 m high. The string makes an angle of 50 degrees with the ground. What kind of angle is formed?
Angle of depression
If a*b =2a+b, find 5*3
13
What are the formulas for both inverse and direct variation?
Direct: y=kx
Inverse: y=k/x
The hypotenuse of a triangle is 13cm and one leg is 5 cm. Find the other leg.
12 cm
A right triangle has one acute angle measuring 30°, and the hypotenuse is 12 cm. Find the length of the opposite side
6cm
From the top of a 50 m tower, the angle of depression to a boat is 35 degrees. Find the horizontal distance to the boat. Correct to 2 d.p.
35.01m
If a*b= 3a2 - b2 , Find 2*3
3
If y varies directly as x, y=10 when x=5. Find y when x= 9
k=2, y=18
The diagonal of a TV screen is 40 inches and its width is 32 inches. Find the height
24 inches
In a right triangle, the hypotenuse is 15 m, and the side adjacent to angle A is 9 m. Find the size of angle A.
53.13 degrees
A person standing on a cliff observes a boat at angle of depression of 40 degrees. The cliff is 50m high. Find the distance from the observer to the boat. Correct to 2 d.p.
65.27m
If g*h= g2h, Find (-3 *2)*5
1620
If y varies inversely as x2 and x =6 when y=8, find y when x=4
y=18
A triangle has sides 7cm, 24cm and 36cm. Verify whther it's a right angles triangle.
72 + 242 is not equal to 362, so NO
The diagonal of a ramp is 20 ft, and the ramp rises 5 ft from the ground. Find the angle between the ramp and the ground.
14.48 degrees
A boy who is 4 ft tall stands on level ground and looks up at the top of a 50-ft building. If the distance between the boy and the building is 30 ft, find the angle of elevation of his line of sight to the top of the building.
56.89 degrees
If x*y =(2xy2) / (x-y), Find a when a*3=250
8
If y varies inversely as the cube of x, and y=8 when x=2. Find x when y=4
x=2.52