F(x) = 5x3 + 2x2 + 7x

If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

harina [27]

Answer:

$Perimeter = 38.6$

Step-by-step explanation:

Given

$A\ B = 13$

$B\ F = 9$

$F\ C = 5.6$

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

$Perimeter = A B + B\ C + A\ C$

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

$B\ C^2 = B\ F^2 + F\ C^2$

Substitute values for BF and FC;

$B\ C^2 = 9^2 + 5.6^2$

$B\ C^2 = 81 + 31.36$

$B\ C^2 = 112.36$

$B\ C^2= \sqrt{112.36$

$B\ C = 10.6$

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

$A\ B^2 = B\ F^2 + A\ F^2$

Substitute values for B F and A B;

$13^2 = 9^2 + A\ F^2$

$169= 81 + A\ F^2$

$A\ F^2 = 169 - 81$

$A\ F^2 = 88$

$A\ F = \sqrt{88$

$A\ F = 9.4$

Since F lies on line A C:

$A\ C = A\ F + F\ C$

$A\ C = 9.4 + 5.6$

$A\ C = 15.0$

Recall that:

$Perimeter = A\ B + B\ C + A\ C$

$Perimeter = 13 + 10.6 + 15.0$

$Perimeter = 38.6$

<em>Hence, the perimeter is 38.6</em>

3 0

3 years ago

which has a greater effect on the volume - changing the radius by a given amount or changing the height by the same amount/ why?

AURORKA [14]

Assuming we’re talking about a cylinder, whose volume formula is V = pi r^2 h…

It will have a greater effect to change a variable’s value that has a greater power on it.

Changing h from 1 to 2 doubles the volume.
Changing r from 1 to 4 quadruples the volume, because 1^2 = 1 and 2^2 = 4. The effect of the change on r is amplified by the power.

3 0

3 years ago

Read 2 more answers

What time is 5 3/4 hours after 11:32 PM

Viktor [21]

Answer:

So the time is 5:17 a.m.

Explanation:

Note that:

11:32 pm is 28 minutes before midnight.

Adding the 534 hours will take the time into early morning.

So all we need to do to find the new time (am) is to subtract 28 minutes from 534 hours.

534→5 hours and 45 minutes

Subtracting the minutes:

45

28−− ← Subtract

17

So the time is 5:17 a.m.

4 0

3 years ago

After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, t

olasank [31]

The annual income tax paid by the person is: $4,500.

<h3>Annual income tax</h3>

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the annual income tax paid by the person is: $4,500.

Learn more about annual income tax here:brainly.com/question/26316390

#SPJ1

6 0

2 years ago

A sport man runs 96m in 8seconds. Find the rate in metres per seconds

mina [271]

Answer:

12m/s

Step-by-step explanation:

96/8 = 12

5 0

3 years ago

F(x) = 5x3 + 2x2 + 7x – 3