Answer:
The image of the point is (1, 2)
Step-by-step explanation:
- If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
- If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)
Let us use the rules above to solve the question
∵ The point (-1, -2) is rotated 180° counterclockwise about the origin
→ By using the 2nd rule above change the signs of x and y coordinates
∴ Its image is (1, 2)
∴ The image of the point is (1, 2)
Answer:
Yes, 35 feet is enough
The angle of elevation is 4.1º
Answer:
An exponential model can best describe the data
Step-by-step explanation:
The graph of the data set is shown in the attachment below. An exponential model can best describe the data. The respective equation can also be found in the graph
The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
Step-by-step explanation:
Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.
To Find : Their present age ?
Solution :
Let the Ahmed's age be 'x'.
Ahmed's father is thrice as old as Ahmed.
i.e. Ahmed's father age is '3x'
After 12 years, his age will be twice that of his son.
i.e. 3x+12 = 2(x+12)3x+12=2(x+12)
Solving the equation,
3x+12 = 2x+243x+12=2x+24
x=12x=12
So, Ahmed's age is 12.
Ahmed's father age is 3\times 12=363×12=36
Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
<h2>There
is 3 times in space of 4 times please mark as brainlist</h2>
Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Simplifying, we have;
Dividing, we get;
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
