Answer:
Angle is 33.82°
Step-by-step explanation:
It is given that, from the figure below,
Vertical distance = 12 feet
Horizontal distance = 18 feet.
Using the trigonometric rule for the right triangles, we have,
i.e. 
i.e. 
i.e. 
i.e. x= 33.82°
Thus, the angle made by the path with the horizontal is 33.82°.
Answer:
1. 474
2. 397
Step-by-step explanation:
1. If the three-digit number is xyz, then y = z + 3.
When rounded to the nearest ten and reduced by 320, the result is 150. 150 + 320 = 470, so x = 4. y = 6 if z ≥ 5, and y = 7 if z < 5.
So the number is either 463 or 474. 463 doesn't round to 470, so the answer is 474.
2. If the three-digit number is xyz, then z = x + 4. y is the largest of the three digits; since all the digits are odd, y is either 5, 7, or 9. So z is either 5 or 7, and x is either 1 or 3.
When rounded to the nearest hundred and reduced by 100, the result is 300. 100 + 300 = 400, and y > 5, so xyz is rounded up to 400, which means x = 3. So z = 7 and y = 9.
The answer is 397.
Answer:
10 x 20
Step-by-step explanation:
it's 10 on the side of the shaded area, and 20 on the opposing side, so in this case, it must be 10 x 20 = 200.
hope it helps
Answer:
(-1, 7) and (-6, -14) are solutions
The area of the kite is 2.25 square feet
<h3>How to determine the area of the kite?</h3>
The area of the kite is calculated using:
Area = 0.5 * pq
Where p and q are the diagonals of the kite.
In this figure,
p = 3
q = 0.75 * 2 = 1.5
So, we have:
Area = 0.5 * 3 * 1.5
Evaluate
Area = 2.25
Hence, the area of the kite is 2.25
Read more about areas at:
brainly.com/question/24487155
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