Answer:
a. The constant = 45
b. The unit rate is 45 miles per hour
c. d = 45t
Step-by-step explanation:
a. ∵ d ∝ t
∴ d = kt
∵ d = 90 at t = 2
∴ 90 = k(2)
∴ k = 90 ÷ 2 = 45
∴ The constant of proportionality is 45
b. ∵ k = d(miles) ÷ t(hours) = 45
∴ The unit rate is 45 miles per hour
c. The equation is ⇒ d = 45t
Answer:
Step-by-step explanation:
If base of variable is same, add the powers
1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹
2) -2n² * -n⁴ * 5n³ = (-2* -1* 5 ) *n²⁺⁴⁺³ = 10n⁹
3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰
Answer: sin(x) / cos(x)
Step-by-step explanation: This is just a trigonometric identity you should have memorized :)
Answer:
(D)56.4
Step-by-step explanation:
According to the question, Let AB=10, AC=12 and m∠B=90°.
Thus, from ΔABC, using trigonometry, we have






Therefore, at
the wire meet the ground.
Answer:
1500÷30=50
40× 50=2000
2000-1500=500.
therefore the answer is500