Answer:
The answer to your question is y = -7/2x -13/2
Step-by-step explanation:
Point = (-3, 4)
Line -2x + 7y = -3
Process
1.- Solve equation for y to find the slope of the perpendicular line
7y = 2x - 3
y = 2/7 x - 3/7
slope = 2/7
Slope of the perpendicular line = -7/2
2.- Find the equation of the new line
y - y1 = m(x - x1)
y - 4 = -7/2(x + 3)
y - 4 = -7/2x - 21/2
y = -7/2x - 21/2 + 4
y = -7/2x -21/2 + 8/2
3.- Result
y = -7/2x -13/2
Answer:
Circle requires ≈ 20 m of edging
Step-by-step explanation:
A = πR²
R = √(A/π)
C = 2πR = 2π√(A/π)
C = 2π√(30/π) = 19.41625... ≈ 20 m
square needs ≈ 22 m of edging
equilateral triangle needs ≈ 25 m of edging
Answer: m∠ATC = 54°
Step-by-step explanation:
Ok, we know that:
m∠ATB = 20° and m∠BTD = 72°
then we must have that the angle between A and D, is equal to the sum of the angles between A and B, and B and D, or:
m∠ATD = m∠ATB + m∠BTD = 20° + 72° = 92°
Now, we also know that m∠CTD = 38°
And the angle:
m∠ATC will be equal to the angle between A and D, minus the angle between C and D, or:
m∠ATC = m∠ATD - m∠CTD = 92° - 38° = 54°
Answer:178.71696m^3
Step-by-step explanation:
To find the volume of cone=1/3πr2h
To find the height using pythagoras theorem and the theorem state that the square on the hypotenuse of a right-angled triangle is the same or equal in area to the sum of the squares on the other two sides.
7^2=h^2+3^2
h^2=49-9
h=√40
h=6.32m
V=1/3×3.142×3m×3m×6.32m
Therefore our answer is;
V=178.71696m^3
Answer:
B--StartFraction pi Over 2 EndFraction radians
Step-by-step explanation:
