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Mathematics

2 answers:

Inessa05 [86]3 years ago

3 0

Answer:

the answer is 15 degree

Angelina_Jolie [31]3 years ago

3 0

Answer:

Step-by-step explanation:

first i looked at the numbers that weren't X and added up to 30° and subtracted that from 180 because a triangle equals 180. i got 150 and there is in total of 10 x's so i divided 150 by 10 and got 15! have a good day :)

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4 years ago

Suppose n(X) = 28 and n(Y) = 19.

Flauer [41]

$n(X\cup Y)=n(X)+n(Y)-n(X\cap Y)$

If $X$ and $Y$ share no common elements, then $n(X\cap Y)=0$ , which means $n(X\cup Y)=n(X)+n(Y)=47$

On the other hand, if the smaller set is entirely contained within the larger set, i.e. $Y\subseteq X$ , then $X\cap Y=Y$ , and so $n(X\cup Y)=n(X)+n(Y)-n(Y)=n(X)=28$ .

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3 years ago

7 L of an acid solution was mixed with 3 L of a 15% acid solution to make a 29% acid solution. What is the percent concentration

Setler [38]

well, let's say that the first solution is 7 liters and has "x" percent of acid, how much acid total in it? well, 7x, <u>keeping in mind that "x" is a decimal form</u>.

likewise, the second solution is 3 liters and has 15% acid, so how much acid is there in that one? (15/100) * 3 = 0.45, so

$\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&7&x&7x\\ \textit{2nd solution}&3&0.15&0.45\\ \cline{2-4}&\\ mixture&10&0.29&2.9 \end{array}~\hfill \implies 7x~~ + ~~0.45~~ = ~~2.9 \\\\[-0.35em] ~\dotfill\\\\ 7x=2.45\implies x=\cfrac{2.45}{7}\implies x=0.35~\hfill \stackrel{\textit{converting to \%}}{0.35\cdot 100}\implies \stackrel{\%}{35}$