Answer:
5.8
Step-by-step explanation:
Side KI is proportional to HF, and as we know GH is proportional to JK, we can make a proportion. x/31 = 8/43, 43x = 248, so x = 5.767, which rounds to 5.8
Elisa made more withdrawals because when you divide Elisa's total withdrawal by the amount of cash she withdrew at a time would be 140/20=7. When you compare that to Francis's withdrawal which would be 270/45=6. 7>6 so Elisa made more withdrawals than Francis.
2(3x-5) + 2(-2x+10)
6x-10 + -4x+ 20
=2x+ 10
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Answer:
first you subtract 5 from both sides
your left with 3x=11
divide by 3 on both sides
x=3.666 repeating
Step-by-step explanation: