Answer:
69.3 mi
Step-by-step explanation:
Let x represent the distance of the ship from its original position.
x²= 40² + 35² -2(40)(35)cos(135)
x= 69.3 mi
Answer:
Angle OAB = 90°
Reason: tangent theorem of a circle
Step-by-step explanation:
The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.
The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.
Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.
Therefore, angle OAB = 90°
First of all, a bit of theory: since the area of a square is given by
where s is the length of the square. So, if we invert this function we have
.
Moreover, the diagonal of a square cuts the square in two isosceles right triangles, whose legs are the sides, so the diagonal is the hypothenuse and it can be found by
So, the diagonal is the side length, multiplied by the square root of 2.
With that being said, your function could be something like this:
double diagonalFromArea(double area) {
double side = Math.sqrt(area);
double diagonal = side * Math.sqrt(2);
return diagonal;
}
Answer: 30.72 miles per gallon
To find <span>best approximate for the average gas mileage at a speed of 60 miles per hour you need to replace the variable x with 60. The calculation would be:
</span><span> y=−0.0088x2+0.79x+15
y= -31.68 +47.4 + 15
y= 30.72
</span>
The translation is (x-4, y+15)
This means you would subtract 4 from the X coordinate and add 15 to the y coordinate.
The original coordinates is (9,-8)
The first number is X and the 2nd number is Y.
9-4 = 5
-8+15 = 7
The new location would be (5,7)
The answer is B.
