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2 years ago

Which method do you think is easiest? Factoring, Completing the Square, or the Quadratic Formula?

1 answer:

5 0

All are easy. There is no way to say thatnone way is easier than the other. Well the answer lies in every individual, it depends on which method they are comfortable with. Anyway there are more method to solve quadratic than the listed ones.

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Hey surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 150 feet from a Pi

AleksAgata [21]

Answer: 87 feet

Step-by-step explanation:

The angle between the pilling is 60°

The adjacent side of the right angle is 150

So let the distance between the pilling be y, that is opposite side.

Opposite / adjacent = tan (60°)

y / 150 = tan (60)

y × tan (60°) = 150

Divide both side by tan (60°)

y = 150 / tan (60°)

y = 150 / 1.7321

y = 87 feet

4 0

2 years ago

Renting Boats on a lake costs $22 per hour plus a flat fee of $10 for insurance. If you paid $98 to rent the boat, how many hour

Lady_Fox [76]

Answer:

4 hours

Step-by-step explanation:

Let x = # of hours

22x + 10 = 98

-10 -10

____________

22x = 88

x = 4

6 0

2 years ago

The minute hand of a clock is exactly 6in in length, and the tip of the minute hand has traveled ten inches since noon. What tim

frutty [35]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\qquad 
\begin{cases}
r=radius\\
\theta =angle\ in\\
\qquad degrees\\
------\\
r=6\\
s=10
\end{cases}\implies 10=\cfrac{\theta \pi 6}{180}\implies \cfrac{180\cdot 10}{6\pi }=\theta 
\\\\\\
\cfrac{300}{\pi }=\theta \implies 95.49^o\approx \theta$

now, the circle of the clock has 360°, if we divide it by 60(minutes), we get 360/60, just 6° for each minute.

now, if there are 6° in 1 minute, how many minutes in 95.49°?

well, just 95.49/6 or about 15.92 minutes, I take it you can round it up to 16 minutes.

so 16 minutes since noon, so is about 12:16, about time get the silverware for lunch.

3 0

2 years ago

Solve the formula d = rt for t when d = 280 and r = 40

iragen [17]

Answer:

Step-by-step explanation:

280=40t/40

t=7

4 0

2 years ago

In tossing four fair dice, what is the probability of tossing, at most, one 3

11Alexandr11 [23.1K]

Answer-

In tossing four fair dice, the probability of getting at most one 3 is 0.86.

Solution-

The probability of getting at most one 3 is, either getting zero 3 or only one 3.

$P(A) =The \ probability \ of \ getting \ zero \ 3 =(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})=\frac{625}{1296} =0.48$ ( ∵ xxxx )

$P(B) = The \ probability \ of \ getting \ only \ one \ 3 =(4)(\frac{1}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6}) = 0.38$ ( ∵ 3xxx, x3xx, xx3x, xxx3 )

P(Atmost one 3) = P(A) + P(B) = 0.48 + 0.38 = 0.86

7 0

2 years ago