Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
Answer:
9x² + 12
Step-by-step explanation:
Area = Length × Width
Area = 3 × (3x² + 4)
Area = 9x² + 12
The gradient of y axis is zero. Since the line is parallel to y axis, its gradient is also zero. This
y=mx+c
Where m is the gradient;
y=(0)x+c
y=c
Replacing for y and x;
0=0(-4)+c
c=0
Answer:
The angle formed between the first base foul line and the path of the baseball is 63°.
Step-by-step explanation:
This is not a difficult problem. We only need to remember the measure of a right angle, which is 90°. Now, recall that the path baseball divides the right angle in two angles, and we know the measure of one of them.
In the attached figure the black lines are the foul lines of the baseball field, and the blue line is the baseball path. In green is the given angles and colored red is the wanted angle.
So, the sum of the angles α and β is 90° and we know the measure of the angle α: 27°. So,
α + β = 90° .
Then,
β = 90° - α = 90° - 27° = 63°.
Answer:
= 18.857 cm²
Step-by-step explanation:
The area of a segment is given by;
θ/360 × 2πr². where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.
θ = 60, and r = 6
Therefore;
Area = 60/360 × 22/7 × 6²
= 18.857 cm²
