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kirill [66]
3 years ago
14

An isosceles triangle has angle measures 40, 40, and 100. The side across from the 100 angle is 10 inches long. How long are the

other sides?
A. 6.43 inches
B. 15.32 inches
C. 6.53 inches
D. 10 inches
Mathematics
1 answer:
Sophie [7]3 years ago
3 0

Answer:

the answer is C- 6.53 inches

Step-by-step explanation:

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Mode is 5 and mean is 6:))
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If you toss a fair coin five times and get tails every time, then the sixth toss MUST be heads. Is this true?
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no it is not true there is still a 50% chance it will be tails

Step-by-step explanation:


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3 years ago
Felicity accidentally overdrew her bank account by $24.65. She then deposited a birthday check from her grandma for $25.00, paid
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7 0
3 years ago
PLZ HELP!!! Use limits to evaluate the integral.
Marrrta [24]

Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:

\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

r_i=\dfrac{2i}n

where 1\le i\le n. Each interval has length \Delta x_i=\frac{2-0}n=\frac2n.

At these sampling points, the function takes on values of

f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}

We approximate the integral with the Riemann sum:

\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3

Recall that

\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4

so that the sum reduces to

\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}

Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:

\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}

Just to check:

\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28

4 0
3 years ago
Please put in order smallest to largest.
yaroslaw [1]
1 integers
2 rational
3 whole numbers
4 real numbers
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3 years ago
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