Answer:
67.15
Step-by-step explanation:
Procedure:
The rate is usually given as a percent.
To find the discount, multiply the rate by the original price.
To find the sale price, subtract the discount from original price.
The ladder will reach 122 ft up the building.
The 120 feet of the extended ladder, since it will be leaning against the building, will be the hypotenuse of the right triangle. x will be the height from the top of the fire truck to the point where the ladder hits the building. 75° is the angle the ladder will make with the fire truck.
We have an angle, the side opposite the angle, and the hypotenuse. Opposite/hypotenuse is the ratio for sine, so we set up our equation as such:
x/120 = sin 75
Multiply both sides by 120:
120(x/120) = 120*sin 75
x = 120*sin 75
x ≈116
However, this is just from the top of the fire truck to the point where the ladder hits the building. We still add the 6 feet from the top of the truck to the ground. 116+6 = 122.
Answer:
When we have a point (x, y) and we do a reflection over a given line, we know that the new point (x', y') will be at the same distance from the line as our initial point (x,y).
Now, in this case, we have a reflection over the line y = -1. (this line is parallel to the x-axis)
But in the image, we can see that the reflected triangle is drawn in the other side of the y-axis, this means that the reflection was made in a line parallel to the y-axis.
Then the mistake that Oscar did is that he reflected over the wrong line, seems that he reflected the triangle over the line x = -1 instead of the line y = -1.
The area of the parallelogram using area of rectangle and area of two triangles is 84 m²
<h3>How to find area of a parallelogram</h3>
- Area of a rectangle = length × width
= 8m × 7m
= 56 m²
- Area of each triangle = 1/2 × base × height
= 1/2 × 4m × 7m
= 1/2 × 28
= 14m²
- Total area of triangles = 2(14 m²)
= 28 m²
- Area of parallelogram = area of rectangle + area of two triangles
= 56 m² + 28 m²
= 84 m²
Learn more about area of triangle:
brainly.com/question/21735282
D. 8 mm by 10 mm by 4 mm
20 mm by 8 mm by 2 mm
8 x 10 x 4 = 320 mm
20 x 8 x 2 = 320 mm
