Answer:
x = -5.6 ±sqrt(1.75)
x≈-4.28 x≈-6.92
Step-by-step explanation:
(x + 5.6)^2 = 1.75
Take the square root of each side
sqrt((x + 5.6)^2) = ±sqrt(1.75)
x+5.6 = ±sqrt(1.75)
Subtract 5.6 from each side
x+5.6 -5.6 = -5.6 ±sqrt(1.75)
x = -5.6 ±sqrt(1.75)
x= -5.6 + sqrt(1.75) x = -5.6 - sqrt(1.75)
x≈-4.27712 x≈-6.92288
x≈-4.28 x≈-6.92
The first coordinate is given the letter x and the second coordinate is given the letter y. Thus, we have that we need to substitute in the formula of the transformation 2 for x and -1 for y. Hence, we have that the image of A is given by: T(A)= (2-5, -1+3)= (-3, 2).
Answer:
11 pi or approximately 34.56 meters.
Step-by-step explanation:
Circumference = pi × diameter, so the circumference would be 11 × pi, or around 34.56 meters.
The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°
Given m∠P = 40°
We know that : Sum of Angles in a Triangle = 180°
⇒ m∠P + m∠M + m∠O = 180°
⇒ 40° + 90° + m∠O = 180°
⇒ 130° + m∠O = 180°
⇒ m∠O = 180° - 130°
⇒ m∠O = 50°
We can notice that m∠O and m∠1 form a Linear Pair (180°)
⇒ m∠O + m∠1 = 180°
⇒ 50° + m∠1 = 180°
⇒ m∠1 = 180° - 50°
⇒ m∠1 = 130°
Last Option is the Answer