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2 years ago

Why is the hypotenuse always the longest side of a triangle?

Mathematics

1 answer:

yawa3891 [41]2 years ago

4 0

Because you have to connect the other two sides , so a diagonal line will be longer than a vertical line

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Given the Venn diagram below, if a student is randomly selected, what is the probability that he or she is attending both colleg

guajiro [1.7K]

Add up all the values shown:
64+28+52+56 = 200

This result indicates that there are 200 students total.

Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles.

Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%

The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.

3 0

3 years ago

Read 2 more answers

HELP PLEASE DUE IN 3 MINUTES

Anarel [89]

Answer:

101

Step-by-step explanation:

If you add up all of the answers, it equals 101 due to the fact of just adding all of the x's together in a row.

6 0

3 years ago

The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

$C(x) = 0.09x^3 - 4.5x^2 + 180x$

Where,

x = number of wheel,

So, the average cost per wheel,

$A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180$

Differentiating with respect to x,

$A'(x) = 0.18x - 4.5$

Again differentiating with respect to x,

$A''(x) = 0.18$

For maxima or minima,

$A'(x) = 0$

$0.18x - 4.5 = 0$

$0.18x = 4.5$

$\implies x = \frac{4.5}{0.18}=25$

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0

3 years ago

I need help my teacher's note didn't help at all please

Roman55 [17]

Answer:

1.0472

Step-by-step explanation:

= 60 × π/180 rad

= π/3 rad

Hope this helps! :)

8 0

3 years ago

A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line ha

AnnyKZ [126]

Acceleration is the change in velocity with respect to the time. The acceleration of the car at segment C is -30 meter per second squared. Hence the option B is the correct option.

<h3>Given information-</h3>

Segment A runs from 0 seconds 0 meters per second to 1 seconds 30 meters per second.

Segment B runs to 3 seconds 30 meters per second.

Segment C runs to 6 seconds 10 meters per second.

Segment D runs to 7 seconds 10 meters per second.

Segment E runs to 10 seconds 20 meters per second.

<h3>Acceleration</h3>

Acceleration is the change in velocity with respect to the time. Acceleration of a vector quantity which means it has both magnitude and the direction. It can be given as,

$a=\dfrac{\Delta v}{\Delta t}$