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3 years ago

The value of x in (3/4) raised to 6*(16/9) raised to 5 = (4/3) raised to 2 is-

Mathematics

1 answer:

iragen [17]3 years ago

7 0

Answer:

The correct answer is 2.

Step-by-step explanation:

We simplify it until it reaches an answer that can no longer be simplified

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At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

4 0

3 years ago

Surface Area of the following figure

julia-pushkina [17]

The answer is 96, don't ask how, just know.

7 0

3 years ago

Please help I only have an hour.

Goshia [24]

Answer:

Slope (m) = $\frac{y}{x} = \frac{2}{3} = 0.66666666666667$

Step-by-step explanation:

$0 = arctan (\frac{y}{x}) = 33.69006752598°$

X = 4 – 1 = 3

Y = 4 – 2 = 2

$Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464$

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

$y=\frac{2}{3}x+\frac{4}{3}$

When x=0, y = 1.3333333333333

When y=0, x = -2

4 0

2 years ago

Please somebody else help me to do . I will mark the correct answer as a brainiest

vodomira [7]

there is your answer follow and mark me as brainliest 

4 0

2 years ago

The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners ear

earnstyle [38]

Answer:

84% of the wage earners earn less than $14,000 each.

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e $2\sigma=18000-10000=8000$