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3 years ago

Plzzz helppp will mark brainlest stpps plzz if possible

Mathematics

1 answer:

VMariaS [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Law of sines

$\frac{Sin A}{a}$ = $\frac{Sin B}{b}$

A and B are angles.

a and b are sides opposite corresponding angles.

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During a rodeo, a clown runs 8.0 m north, turns 55° north of east, and runs 3.5 m. then, after waiting for the bull to come near

tino4ka555 [31]

We calculate for the x- and y-components of the distances traveled by the clown.

First: 8.0 m north

x-component = 0 m
y-component = +8 m

Second: 55° north of east (3.5 m)

x-component = (3.5 m)(cos 55°) = 2 m
y-component = (3.5 m)(sin 55°) = 2.87 m

Third: 5 m east

x-component = 5 m
y-component = 0 m

The total x-component is equal to 7 m and the y-component is equal to 10.87 m.

The displacement is,

c = sqrt((7 m)² + (10.87 m)²)

c = 12.93 m

Answer: 12.93 m

7 0

3 years ago

arturo paid $8 in taxes on a purchase of $200. assuming the tac rate is the same, what would the tax be on a purchase of $150

Ludmilka [50]

Answer:

you would take 1/4 away from 8 because 1/4 of $200 is 50 so that makes the taxes 2$

Step-by-step explanation:

4 0

3 years ago

Find the median and mean of 21, 0, 36, 30, 13, 32

Alexandra [31]

Median equals 25.5 and mean equals 22... I think

7 0

3 years ago

Evaluate the following integral (Calculus 2) Please provide step by step explanation!

Step2247 [10]

Answer:

$\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=-\dfrac{2}{x+1}+\text{C}$

Step-by-step explanation:

Fundamental Theorem of Calculus

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given integral:

$\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x$

Factor the denominator:

$\begin{aligned}\implies x^2+2x+1 & = x^2+x+x+1\\& = x(x+1)+1(x+1)\\& = (x+1)(x+1)\\& = (x+1)^2\end{aligned}$

$\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int \dfrac{2}{(x+1)^2}\:\:\text{d}x$

$\textsf{Apply exponent rule} \quad \dfrac{1}{a^n}=a^{-n}$

$\implies \displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x=\int 2(x+1)^{-2}\:\:\text{d}x$

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $ax^n$}\\\\$\displaystyle \int ax^n\:\text{d}x=\dfrac{ax^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Use Integration by Substitution:

$\textsf{Let }u=(x+1) \implies \dfrac{\text{d}u}{\text{d}x}=1 \implies \text{d}x=\text{d}u}$

Therefore:

$\begin{aligned}\displaystyle \int \dfrac{2}{x^2+2x+1}\:\:\text{d}x & = \int 2(x+1)^{-2}\:\:\text{d}x\\\\& = \int 2u^{-2}\:\:\text{d}u\\\\& = \dfrac{2}{-1}u^{-2+1}+\text{C}\\\\& = -2u^{-1}+\text{C}\\\\& = -\dfrac{2}{u}+\text{C}\\\\& = -\dfrac{2}{x+1}+\text{C}\end{aligned}$

Learn more about integration here:

brainly.com/question/27988986

brainly.com/question/27805589

5 0

2 years ago

Which expression is equivalent to -2 1/2 / -2/3? PLEASE HURRY

antoniya [11.8K]

Answer:

-5/2 x - 3/2

Step-by-step explanation: this is the answer don’t ask how

3 0

4 years ago