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UNO [17]
3 years ago
13

What dose the hypotenuse=?

Mathematics
1 answer:
Kitty [74]3 years ago
3 0
Hypotenuse by Pythagoras theorem = 407.83.
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Math question #1 please show steps
-Dominant- [34]

Answer:

C

Step-by-step explanation:

An approximation of an integral is given by:

\displaystyle \int_a^bf(x)\, dx\approx \sum_{k=1}^nf(x_k)\Delta x\text{ where } \Delta x=\frac{b-a}{n}

First, find Δx. Our a = 2 and b = 8:

\displaystyle \Delta x=\frac{8-2}{n}=\frac{6}{n}

The left endpoint is modeled with:

x_k=a+\Delta x(k-1)

And the right endpoint is modeled with:

x_k=a+\Delta xk

Since we are using a Left Riemann Sum, we will use the first equation.

Our function is:

f(x)=\cos(x^2)

Therefore:

f(x_k)=\cos((a+\Delta x(k-1))^2)

By substitution:

\displaystyle f(x_k)=\cos((2+\frac{6}{n}(k-1))^2)

Putting it all together:

\displaystyle \int_2^8\cos(x^2)\, dx\approx \sum_{k=1}^{n}\Big(\cos((2+\frac{6}{n}(k-1))^2)\Big)\frac{6}{n}

Thus, our answer is C.

*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.

5 0
3 years ago
Help ASAP pleaseee!
natulia [17]

Answer:

<h2><em>11.6%</em></h2>

Step-by-step explanation:

The probability of getting a 6 is 1/6.  

The probability of not getting a 6 is 5/6

We roll a die 4 times and want 2 sixes, and 2 not sixes.

i.e.exact 2 6's  

We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

Nearest tenth of percent is 0.1157×100=11.6%

Ans :11.6%

3 0
2 years ago
PLZ I NEED THIS FAST
neonofarm [45]

Answer:

I believe the correct answer is A

Step-by-step explanation:

7 0
2 years ago
What is the 1st quartile in the data set 65 90 100 72 88 55 73
dem82 [27]
Im pretty sure the answer is 65
7 0
3 years ago
If the radius of a sphere is increased by a factor of 3, then the volume of the sphere is increased by a factor of
SSSSS [86.1K]
V = 4/3 π r³
E. 27 ..............
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3 years ago
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