Answer:
The coordinates of its image are (2, -4)
Step-by-step explanation:
<em>Let us revise the rules of reflection across the axes</em>
- If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)
- If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)
∵ The point (2, 4) is reflected across the x-axis
→ By using the first rule above rx-axis (x, y) → (x, -y)
∴ Change the sign of its y-coordinate
∴ Its image is (2, -4)
∴ The coordinates of its image are (2, -4)
The answer to the quest is 8.09
24 nickels
2 quarters
3 dimes
Answer:
6.25 feet.
Step-by-step explanation:
Please find the attachment.
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,




Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.




Therefore, the length of the ramp is 6.25 feet.
The answer is 12/5
Remember: Soh;opposite over Hypotenuse Cah; Adjacent over Hypotenuse Toa; Opposite over Adjacent. SOH CAH TOA
Hope this helps! :)