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kompoz [17]
3 years ago
11

The measure of one angle is 15 less than half the measurement of its supplement.

Mathematics
1 answer:
Travka [436]3 years ago
5 0

It is given in the question that

The measure of one angle is 15 less than half the measurement of its supplement.

Let the measurement of supplement angle is x degree.

So the measurement of the other angle is

\frac{x}{2} -15

And the sum of the measurement of supplementary angles is 180.

x+ \frac{x}{2} -15 =180
\\
\frac{3x}{2} = 195

Multiplying both sides by 2

3x = 390
\\
x = 130

So one angle is of measurement 130 degree and the other angle is of  measurement 50 degree.

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Use undetermined coefficients to find the particular solution to 7t + 5=y''+y'-4y У, (t) - Preview Get help: Video Points possib
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Suppose y_p=a_0+a_1t is a solution to the ODE. Then {y_p}'=a_1 and {y_p}''=0, and substituting these into the ODE gives

a_1-4(a_0+a_1t)=7t+5\implies\begin{cases}-4a_1=7\\-4a_0+a_1=5\end{cases}\implies a_0=-\dfrac{27}{16},a_1=-\dfrac74

Then the particular solution to the ODE is

y_p=-\dfrac{27}{16}-\dfrac74t

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3 years ago
in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota
Akimi4 [234]

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000.  We can also say that

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}

5 0
2 years ago
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Answer:

1a: 1,000,000

2a: 1

3a: 6

4a: 0

5a: 1

6a: 1

7a: 9

1b: 1

2b: 1

3b: 1

4b: 1

5b: 1

6b:49

7b: 1

Step-by-step explanation:

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2 years ago
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What goes in the blank boxes
noname [10]

Answer:

Everything

Step-by-step explanation:

We can keep every things in the blank boxes.

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