Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio , 1 + 2 + 3 = 6 parts
Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Since there is an angle of 90° then the triangle is right.
(b)
The shortest side is the side opposite the smallest angle of 30°
Using the sine ratio and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2 opp = 19 ( divide both sides by 2 )
opp = 9,5
Shortest side in the triangle is 9.5 cm
Answer & Step-by-step explanation:
For this problem, we will use the distance formula.
For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.
So, the distance between (-3,1) and (1,5) is 5.657 units.
Answer:
The answer is 350 points
Step-by-step explanation:
The Area of a circle is πr∧2
The problem states that in the attempts, you never hit the outermost ring in the 10 attempts so we need the area of the 1cm and 2cm circles
Area of the 1st circle; π X 1∧2 = π
Area of the Second circle; π X 2∧2 = 4π
We also need the area which is the difference between the area of the 1cm and 2cm circle
4π - π = π
Points 50 = π/4π = 1/4
points 30 = 3π/4π = 3/4
For one attempt,
E(x) = 50 x 1/4 + 30 x 3/4
= 12.25 + 22.5
= 34.75
This is approximately 35
Therefor, 10 individual attempts will be 10 x 35 = 350
Answer:
18π
Step-by-step explanation:
You have to multiply the height and the width together and then multiply by pi but since it is in terms of pi it is 18π
Answer:
2x-3
Step-by-step explanation:
f(x) = 3x-1
g(x) = x+2
Find (f-g)(x), this means we need to subtract g from x.
(3x-1) - (x+2)
Subtract the like terms:
3x -x = 2x
-1 -2 = -3
Combine them to get 2x-3
