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uranmaximum [27]
3 years ago
10

99 POINTS HELP ME HURRY

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

c = sqrt(11)

Step-by-step explanation:

We can use the pythagorean theorem to calculate  the length of the hypotenuse.

c^2 = a^2 +b^2  where a and b are the legs and c is the hypotenuse

c^2 = 3^2 + (sqrt(2))^2

c^2 = 9 + 2

c^2 =11

Take the square root of each side.

sqrt(c^2) = sqrt(11)

c = sqrt(11)

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Please solve the following sum or difference identity.
xxTIMURxx [149]

Answer:

sin(A - B) = \frac{4}{5}

Step-by-step explanation:

Given:

sin(A) = \frac{24}{25}

sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

sin(B) = -\frac{4}{5}

cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

6 0
3 years ago
Read 2 more answers
What is the answer to 32.6 - n = 10.2
Alex_Xolod [135]

Answer: 22.4

Step-by-step explanation:

32.6 - 10.2 = 22.4

5 0
3 years ago
How do you interpret the residual?
Vanyuwa [196]

Answer: To find a residual you must take the predicted value and subtract it from the measured value.

Step-by-step explanation:

7 0
3 years ago
$725 before sales tax of 6% was added. How much was the sales tax?
likoan [24]

Answer: $768.50

Step-by-step explanation:

If $725 was the price before sales tax, $768.50 would be the total amount after the 6% sales tax increase.

***If you found my answer helpful, please give me the brainliest. :) ***

4 0
3 years ago
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the gr
kompoz [17]
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero. 

t(x)=(x+5)^3+7

dt/dx=3(x+5)^2

d2t/dx2=6(x-5)

dt/dx=0 only when x=-5

However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.

So there is no turning point for this function.

Now in this problem, it is even easier than the above to show that there is no turning point.  A turning point by definition is when the derivative or velocity changes sign.  Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.


8 0
3 years ago
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