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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 6 5

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

Answer:

7.81

Step-by-step explanation:

Pythagorean theorem

$\sqrt{6^{2} +5^{2} }$

$\sqrt{61}$ = 7.81

c = 7.81

Law of Cosines

$c=\sqrt{b^{2} +a^{2}-2ba*cos(C) }$

$c=\sqrt{6^{2}+5^{2}-((2*6*5)*cos(90)) }$

c = 7.81

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<img src="https://tex.z-dn.net/?f=%20%5Cint%20%7Btan%7D%5E%7B3%7D%20x%20%5C%3A%20dx" id="TexFormula1" title=" \int {tan}^{3} x \

r-ruslan [8.4K]

Answer:

$\frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C$

Step-by-step explanation:

$\int {tan}^{3} x \: dx$

$\int \: tan \: x \times {tan}^{2} x \: dx$

$\int \: tan \: x( {sec}^{2} x - 1) \: dx$

distribute

$\int \: tan \: x \: {sec}^{2} x - tan \: x \: dx$

$\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \: tan \: x \: dx$

$\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \frac{sin \: x}{cos \: x} \: dx$

First integrand

let tan x = u

du = sec²x dx

Second integrand

let cos x = z

dz = -sin x dx

$= \int u \: du \: - \int - \frac{1}{z} dz$

$= \frac{ {u}^{2} }{2} + \ln( |z| ) + C$

$= \color{red}{ \boxed{ \frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C}}$

7 0

3 years ago

Whats the area of this

Fantom [35]

Area of a parallelogram= base*height
A=14*8
A=112m²
The area of this figure is 112m²

7 0

3 years ago

For a sample of 100 men the median is 155

Minchanka [31]

Answer:

Whats ur question?

8 0

3 years ago

Please help for points

Rama09 [41]

Answer:

X=11

Step-by-step explanation:

2x+22=4(x+3)

2x-(22)=0

2x=22

x=22/2

x=11

7 0

3 years ago

Solve the equation. |x + 5| = 9 {–4, 14} {–14, 4} {4, 14} {–14, –4}

inna [77]

Answer:

{-14, 4}

Step-by-step explanation:

the absolute value function only makes sure that the result always has a positive sign.

so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.

so,

x + 5 = 9

x = 4

and

x + 5 = -9

x = -14

that gives us the correct set of solutions as indicated above.

6 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 6 5​

Find the length of the third side. If necessary, round to the nearest tenth. 6 5