Subtract: 23.87 - 1.12 Answers: A) 12.67 B) 13.75 C) 22.75 D) 24.99

Mathematics

2 answers:

USPshnik [31]2 years ago

5 0

Answer:

C) 22.75

Step-by-step explanation:

23.87

22.75

juin [17]2 years ago

3 0

Answer:

C) 22.75

Step-by-step explanation:

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vova2212 [387]

Answer:

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Step-by-step explanation:

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Evaluate the integral from 0 to 1/2 of xcospixdx

aleksklad [387]

$\bf \int\limits_{0}^{\frac{1}{2}}xcos(\underline{\pi x})\cdot dx\\
-----------------------------\\
u=\underline{\pi x}\implies \frac{du}{dx}=\pi \implies \frac{du}{\pi }=dx\\
-----------------------------\\
thus\implies \int\limits_{0}^{\frac{1}{2}}xcos(u)\cdot \cfrac{du}{\pi }
\\\\
\textit{wait a sec, we need the integrand in u-terms}\\
\textit{what the dickens is up with that "x"?}\qquad well\\
-----------------------------\\
u=\pi x\implies \frac{u}{\pi }=x\\
-----------------------------\\$ $\bf thus
\\\\
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }cos(u)\cdot \cfrac{du}{\pi }\implies 
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }\cdot \cfrac{cos(u)}{\pi }\cdot du\implies 
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{1}{2}}cos(u)\cdot du\\
-----------------------------\\
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\\\\
u\left( \frac{1}{2} \right)=\pi\left( \frac{1}{2} \right)\to \frac{\pi }{2}
\\\\
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-----------------------------\\$ $\bf thus
\\\\
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{\pi }{2}}cos(u)\cdot du\implies \cfrac{u}{\pi^2}\cdot sin(u)\implies \left[ \cfrac{u\cdot sin(u)}{\pi^2} \right]_{0}^{\frac{\pi }{2}}
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2 years ago

Question 7 of 10<br> What is the length of BC in the right triangle below?

horsena [70]

Answer:

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

BC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )

BC = $\sqrt{225}$ = 15 → A