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3 years ago

Find the measure of angle 0. Round to the nearest degree

Mathematics

1 answer:

Serga [27]3 years ago

4 0

Answer:

22°

Step-by-step explanation:

sin(theta)=7/19

m(theta)= arcsin(7/19)=22°

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The sum of two consecutive natural numbers is 525.<br> Find the numbers.

Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. ( $|x-y| = 1$ , $\forall\,x,y \in \mathbb{N}$ ) We can interpret the statement mathematically by means of the following expression:

$x + y = 525$

$x = n$

$y = n+1$

Where $x$ , $y$ , $n$ $\in \mathbb{N}$ .

This system is reduced to a single equation and solved afterwards:

$n +(n+1) = 525$

$2\cdot n + 1 = 525$

$2\cdot n = 524$

$n = 262$

Now we evaluate $x$ and $y$ to obtain the natural numbers:

$x = 262$

$y = 263$

262 and 263 are consecutive natural numbers whose sum is 525.

3 0

3 years ago

The answer and the work

crimeas [40]

Answer:

x=1

Step-by-step explanation:

Substitute the value of y to the first given

3x+4(-x)=-1

3x+(-4x)=-1

-x=-1

divide both sides by -1

x=1

5 0

3 years ago

Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different ans

amm1812

$\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\
-------------------------------\\\\
\textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4}
\\\\\\
\textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}$

$\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x}
\\\\\\
\textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x
\\\\\\
thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}$

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.

3 0

3 years ago

Read 2 more answers

T3=-6.5 and t5=-3.9 determine d

nekit [7.7K]

$t_3=-6.5;\ t_5=-3.9\\\\t_5-t_3=2d\\\\2d=-3.9-(-6.5)\\\\2d=-3.9+6.5\\\\2d=2.6\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{d=1.3}$