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NNADVOKAT [17]
3 years ago
5

2².23 = (Type your answer using exponential notation. Simplify your answer.)

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

2^2 * 2^3 = 32

2^5 = 32

Step-by-step explanation:

2*2*2*2*2 = 32

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This is a geometry question, i need something quickly :)
Marysya12 [62]

Answer:

hope it helps mark me brainlieast!

Step-by-step explanation:

<em>For triangle ABC with sides  a,b,c  labeled in the usual way, </em>

<em> </em>

<em>c2=a2+b2−2abcosC  </em>

<em> </em>

<em>We can easily solve for angle  C . </em>

<em> </em>

<em>2abcosC=a2+b2−c2  </em>

<em> </em>

<em>cosC=a2+b2−c22ab  </em>

<em> </em>

<em>C=arccosa2+b2−c22ab  </em>

<em> </em>

<em>That’s the formula for getting the angle of a triangle from its sides. </em>

<em> </em>

<em>The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles. </em>

<em> </em>

<em>−1≤cosC≤1  </em>

<em> </em>

<em>0∘≤C≤180∘  </em>

<em> </em>

<em>We needed to include the degenerate triangle angles,  0∘  and  180∘,  among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points. </em>

<em> </em>

<em>The Law of Cosines, together with  sin2θ+cos2θ=1 , is all we need to derive most of trigonometry.  C=90∘  gives the Pythagorean Theorem;  C=0  and  C=180∘  give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from  cosC=  … above. (Hint: the Law of Cosines applies to all three angles in a triangle.) </em>

<em> </em>

<em>The Triangle Angle Sum Theorem,  A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool </em>

<em> </em>

<em>2sinAsinBcosC=sin2A+sin2B−sin2C  </em>

<em> </em>

<em>Showing that’s the same as  A+B+C=180∘  is a challenge I’ll leave for you. </em>

<em> </em>

<em>In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula, </em>

<em> </em>

<em>4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2  </em>

<em> </em>

<em>true precisely when  ±A±B±C=180∘k , integer  k,  for some  k  and combination of signs. </em>

<em> </em>

<em>This is written in RT in an inverted notation, for triangle  abc  with vertices little  a,b,c  which we conflate with spreads  a,b,c,  </em>

<em> </em>

<em>(a+b−c)2=4ab(1−c)  </em>

<em> </em>

<em>Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to  180∘  or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.</em>

6 0
2 years ago
The quotient of a number tripled and 5
Verdich [7]

This would be displayed as

3x/5

5 0
3 years ago
I need help on math plz help fast
lyudmila [28]

Answer:

I believe it is 6.8%

<h3 />

Step-by-step explanation:

I hope this helps. :)

Feel free to mark brainliest!

6 0
3 years ago
Read 2 more answers
Products of polynomials <br> Find the product,please. <br> (4a-ts)(2a+2ts)
gregori [183]

Answer:

(4a + 2)3

Step-by-step explanation:

(4a + 2)(4a + 2)(4a + 2)           multliply first two with FOIL

(16a2 +16a + 4)(4a + 2)           multiply these using distributive

16a2(4a) + 16a(4a) + 4(4a) + 16a2(2) + 16a(2) + 4(2)

64a3 + 64a2 + 16a + 32a2 + 32a + 8

64a3 + 96a2 + 48a + 8

4 0
3 years ago
Please the answer for 1 with the step
Morgarella [4.7K]
First find the value of h, or the height using the pythagorean theorem.

13^2=15^2+h^2
289=225+h^2
h^2=64
h=8

Then use the formula bh/2 to find area of the triangle.

10*8/2=40

Final answer: A
6 0
3 years ago
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