Hello!
This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.
(x,y)⇒(-y,x)
We will do this to each point and get our final points.
(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)
Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).
I hope this helps!
Answer:
12 * 10 ^ 7
Step-by-step explanation:
3 * 10 ^ 2 * 4 * 10 ^5
= 12 * 10^ 2 + 5
= 12 * 10 ^ 7
Hope it will help :)
Answer:
527.6 cubic inches
Step-by-step explanation:
The volume of a cylinder is represented by the formula 
, where r represents the radius of the base and h represents the height.
In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.
Substituting in the values and solving, we get:
The Volume will be 527.6 cubic inches
Answer:
C.
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the function
which is here just (3 , 9 , 12)
so the choice is C.
Answer:
36.50
To two decimal places
Step-by-step explanation:
The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.
From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.
Cos 51°=x/58
Let the size of the leg be x
Making x the subject
x=58(Cos51°)
x=36.500058
Correct to two decimal place
x=36.50
