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3 years ago

Two planes travel at a constant speed. Plane A travels 2,800 miles in 5 hours. Plane B travels 3,885 miles in 7 hours.

Mathematics

2 answers:

kozerog [31]3 years ago

5 0

Answer: First.

Step-by-step explanation:

Let's find the speed of the first airplane:

2800 ÷ 5 = 560 (miles per hour)

Let's find the speed of the second plane:

3885 ÷ 7 = 555 (miles per hour)

Thus, the first plane flies faster than the second.

Verdich [7]3 years ago

3 0

The first plane is faster.

The first plane travels at 560 miles per hour. The comparisons are 2 hours apart. Add 560 2 times to 2800 and you get 3,920 which is greater than 3,885, the original number of MPH for the second plane.

Meaning the first plane is faster.

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Expand and reduce (2+√3)^2

nasty-shy [4]

Answer:

7 + 4 $\sqrt{3}$

Step-by-step explanation:

note that $\sqrt{a}$ × $\sqrt{a}$ = a

Given

(2 + $\sqrt{3}$ )² = (2 + $\sqrt{3}$ )(2 + $\sqrt{3}$ )

Each term in the second factor is multiplied by each term in the first factor, that is

2(2 + $\sqrt{3}$ ) + $\sqrt{3}$ (2 + $\sqrt{3}$ ) ← distribute both parenthesis

= 4 + 2 $\sqrt{3}$ + 2 $\sqrt{3}$ + 3 ← collect like terms

= 7 + 4 $\sqrt{3}$

6 0

3 years ago

The specifications for an electronic device state that it is to be operated in a room with relative humidity ℎ defined by |ℎ − 5

Nadya [2.5K]

Answer: $\Large\boxed{20 < h < 80}$

Step-by-step explanation:

Given inequality

$|h-50| < 30$

The goal of the question

To find the minimum and maximum of the relative humidities

For this question, we need to solve the inequality

Simplify the absolute value sign

$h-50 < 30$ or $h-50 > -30$

Add 50 on both sides

$h-50+50 < 30+50$ or $h-50+50 > -30+50$

$\Large\boxed{h < 80}$ or $\Large\boxed{h > 20}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

1 year ago

A stack of 60 identical books at the book store was 135 inches tall.

koban [17]

6.75 inches....................

3 0

3 years ago

Read 2 more answers

If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?

kkurt [141]

Answer:

1728/ 125

Step-by-step explanation:

The ratio of corresponding lengths of the figures = ratio of the square root of their areas.

So ratio of lengths = 12/5.

Now volume is 3 dimensional so the ratio is the cube of the lengths

= 12^3/5^3

= 1728/ 125.

7 0

3 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago