Answer: 3.1 hours
Step-by-step explanation: Just took the quiz on edg.
Answer:
460 USD
Step-by-step explanation:
monthly earnings = 250 x 4 = 1000
monthly bills = 135 x 4 = 540
end of month = 1000 - 540 = 460 USD
Answer:
3a) The value of x = 56
3b) The measure of ∠ H T M = 90°
3c) The radius of the circle = 53
Step-by-step explanation:
3a) ∵ A F is a tangent to the circle O at point F
∵ Secant AH intersects circle O at point T
∴ (A F)² = (A T)(A H)
∴ 7( x + 7) = (21)² ⇒ ÷ 7
∴ x + 7 = 63
∴ x = 63 - 7 = 56
3b) ∵ HM is a diameter
∴ The measure of the arc HM = 180° ⇒ semi-circle
∵ ∠ H T M is inscribed angle subtended by the arc HM
∴ m ∠ H T M = half the measure of arc HM
∴ m ∠ H T M = 180° ÷ 2 = 90°
3c) ∵ Δ H T M is a right angle triangle at T
∴ (H M)² = (M T)² + (H T)² ⇒ Pythagorean theorem
∴ (H M)² = (90)² + (56)²
∴ (H M)² = 11236
∴ HM = 
= 106
∴ OM = 106 ÷ 2 = 53
∵ OM is the radius of the circle O
∴ The radius = 53
Answer:
Step-by-step explanation:
This is a parabola shaped like a U.
The minimum value is at (-2, -3).
Find the zeroes:
(x + 2)^2 = 3
Find the zeroes:
x + 2 = +/- √3
x = +/-√3 - 2
x = -0.27, -3.73.
So the graph cuts the x axis at (-0.27, 0) and (-3.73, 0)
when x = -4 , f(x) = 1 and when x = 1, f(x) = 6.
So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2
Answer:
The least common multiple of 6, 15 and 40 is <u>120</u>.
The least common multiple of 32, 48 and 72 is <u>288</u><u>.</u>
The LCM of 20 and 24 is <u>120</u>.<em> </em>
The LCM of 30 and 90 is <u>90</u>.
The LCM of 150 is <u>900</u>.
Step-by-step explanation:
<u>Steps to find LCM</u>
- Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
- Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
- LCM = 2 × 2 × 3 × 3 × 5 × 5.
- LCM = 900.
