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Ivahew [28]
4 years ago
9

HELP WITH HOMEWORK!!!

Mathematics
1 answer:
tigry1 [53]4 years ago
3 0
Ok so I feel like the answer is A
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5 inches equals how many centimeters
Over [174]
It would equal to 12.7 cm because an inch equals 2.54 cm.
6 0
3 years ago
If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=15/17and cos b=
tensa zangetsu [6.8K]

The value of cos(a+b) for the angles a and b in standard position in the first quadrant is -\frac{36}{85}

We need to find the value of cos(a+b). To proceed, we need to use the compound angle formula

<h3>Cosine of a sum of two angles</h3>

The cosine of the sum of two angles a and b is given below

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

We are given

sin(a)=\dfrac{15}{17}\\\\cos(b)=\dfrac{3}{5}

We need to find sin(b) and cos(a), using the identity

sin^2(\theta)+cos^2(\theta)=1

<h3>Find sin(b)</h3>

To find sin(b), note that

sin^2(b)+cos^2(b)=1\\\\\implies sin(b)=\sqrt{1-cos^2(b)}

substituting \frac{3}{5} for cos(b) in the identity, we get

sin(b)=\sqrt{1-cos^2(b)}\\\\=\sqrt{1-\left(\dfrac{3}{5}\right)^2}=\dfrac{4}{5}

<h3>Find cos(a)</h3>

To find cos(a), note that

sin^2(a)+cos^2(a)=1\\\\\implies cos(a)=\sqrt{1-sin^2(a)}

substituting \frac{15}{17} for sin(a) in the identity, we get

cos(a)=\sqrt{1-sin^2(a)}\\\\=\sqrt{1-\left(\dfrac{15}{17}\right)^2}=\dfrac{8}{17}

<h3>Find the value of cos(a+b)</h3>

We can now make use of the formula

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

to find cos(a+b).

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)\\\\=\dfrac{8}{17}\cdot\dfrac{3}{5}-\dfrac{15}{17}\cdot\dfrac{4}{5}=-\dfrac{36}{85}

Learn more about sine and cosine of compound angles here brainly.com/question/24305408

8 0
2 years ago
Solving each system by Eliminating <br> x-y-2z=4<br> -x+2y+z=1<br> -x+y-3z=11
elena-s [515]

Answer:

<em>x = 0 </em>

<em>y = 2</em>

<em>z = -3</em>

Step-by-step explanation:

x-y-2z=4     (1)

-x+2y+z=1   (2)

-x+y-3z=11  (3)

(1) + (3) = x-y-2z + (-x)+y-3z   = 4+11

           = -5z                          = 15

-> z = -3

(1) + (2) = x - y - 2z + (-x) + 2y + z = 4+1

           = y-z                                 = 5

           = y- (-3)                             = 5

-> y = 2

(1) = x-y-2z            = 4  

   = x - 2 - 2 * (-3) = 4

-> x = 0

3 0
3 years ago
How many combinations of powerball numbers are there
Helen [10]

Answer:

292,201,338 possible combinations powerball numbers

Step-by-step  explanation:

if your talking about altogether then 292,201,338 but if its specific you need to upload a screenshot of the options

3 0
2 years ago
Read 2 more answers
Need help solving this .
vodka [1.7K]
D. 37.5% is the correct answer for your question
8 0
3 years ago
Read 2 more answers
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