Answer:
Step-by-step explanation:
The length of this triangle is 10 squares
and the width is 4 squares
The diagonals divide the rectangle into four triangles
These traingles are isoceles
Each two triangles facing each others are identical
<B = 90 degree
B = alpha + Beta
Let Beta be the angle next alpha
The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:
Beta = 2x
Then B = alpha + 2x
90 = alpha +2x
90-alpha = 2x
x = (90-alpha)/2
For every action you want to record the "Distance", you do not want to find the displacement. 210 feet + 300 feet = 510 feet. His total distance traveled is 510 feet
Displacement however would be -90 = 210 - 300 because he is now -90 feet from where he begun. The reason the 90 is negative is because he is lower now than he was before because the downward movement was greater than the upward movement.
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:( 2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .
or
2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .
Step-by-step explanation:
Answer:
Step-by-step explanation:
3y+7=2x
3y=2x-7
y=(2/3)x-7/3
when parallel, the y=ax+b, the a keeps the same
so it‘s y=(2/3)x-a
and it pass (2,6), so 6=(2/3)*2 -a
6=4/3-a
-a=(18-4)/3
-a=14/3
a=-14/3
