Find the measure of the angle.

Mathematics

1 answer:

vesna_86 [32]2 years ago

5 0

It will be 4 16 because it a circle on square timing 94 Fahrenheit

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Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric

quester [9]

I'm guessing S^20 is actually referring to the 20th partial sum $S_{20}$ , with

$S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)$

in the arithmetic case, and

$S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}$

in the geometric case.

(a) Combining like terms, we have

$S_{20}=20+0.1(1+2+\cdots+18+19)$

and invoking the formula

$1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2$

we end up with

$S_{20}=20+0.1\dfrac{19\times20}2=39$

(b) Multiply $S_{20}$ by 1.1, then subtract this from $S_{20}$ :

$1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}$

$S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}$
$\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275$

7 0

3 years ago

73 7/10−25 5/8<br><br><br>Enter your answer as a mixed number in simplest form.

VladimirAG [237]

Answer:

48 3/40 just reanswerd for points :>

Step-by-step explanation:

7 0

2 years ago

Determine the equation of the graph with the coordinates of (4, -1)

Anon25 [30]

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

$y=\left(x-4\right)^2-1$

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only $y=\left(x-4\right)^2-1$ is the valid equation as it satisfies the given coordinate value.

For example, putting (4, -1) in the equation

$y=\left(x-4\right)^2-1$

$\left(-1\right)=\left(4-4\right)^2-1$