Answer:
its b
Step-by-step explanation:
Answer: -6
-6•-7=42
Negative times a negative equals a positive
Answer:
Ravi’s average speed is 7 miles per hour
Step-by-step explanation:
In this question, we are tasked with calculating what Ravi’s average speed was.
We must know that the term average speed is mathematically equal to Total distance/ Total time
We already have the time of 3 hours, what is needed is the distance.
From the question, we can see that they met at the point where Pilar had travelled 55 miles. What this means is that Ravi would have traveled (55-34) miles to this point since they are coming in opposite direction. This means that Ravi had traveled 21 miles
Thus his average speed is 21 miles/ 3 hours = 7 miles per hour
The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².
The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines
b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°) ⇒ b = 96√3 cm
Call b the base of this triangle.
The vertex angle is 120°, so the other two angles have measure θ such that
120° + 2θ = 180°
since the interior angles of any triangle sum to 180°. Solve for θ :
2θ = 60°
θ = 30°
Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find
tan(30°) = h / (b/2) ⇒ h = 48 cm
Then the area of the triangle is
1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²
and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:
3072π cm² - 2304√3 cm² ≈ 5660.3 cm²
Answer:
<h2>x = -17</h2>
Step-by-step explanation:
