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kati45 [8]
3 years ago
8

If sina4/5 find cosa​

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Answer:

cosa = 3/5

Step-by-step explanation:

Use Trignometrical identity cosa =  √ 1 − sin ^2a

cos a =  √ 1 − 16 /25  =  √ 9 /25  =  3 /5

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For the following right triangles:
CaHeK987 [17]

Let us first define Hypotenuse Leg (HL) congruence theorem:

<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>

Given ACB and DFE are right triangles.

To prove ΔACB ≅ ΔDFE:

In ΔACB and ΔDFE,

AC ≅ DF (one side)

∠ACB ≅ ∠DFE (right angles)

AB ≅ DE (hypotenuse)

∴ ΔACB ≅ ΔDFE by HL theorem.

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3 years ago
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4 0
3 years ago
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The sum of two numbers is 126 and their difference is 42. what are two numbers
Snowcat [4.5K]

Answer:

<h2>84, 42</h2>

Step-by-step explanation:

x,\ y-numbers\\\\\text{The system of equations:}\\\\\underline{+\left\{\begin{array}{ccc}x+y=126\\x-y=42\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=168\qquad\text{divide both sides by 2}\\.\qquad x=84\\\\\\\text{Put the value of}\ x\ \text{to the first equation:}\\\\84+y=126\qquad\text{subtract 84 from both sides}\\y=42

8 0
3 years ago
What's 16/34 in its lowest term?
nikklg [1K]
I think it is 8/17...
hope this helps!
5 0
3 years ago
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Nickel-63 has half-life of about 96 years. after 336 years,about how many milligrams of an 800 mg sample will remain?
vagabundo [1.1K]
F=ar^t if the half-life is 96 years...

.5=r^96

ln(.5)=96lnr

ln(.5)/96=lnr

r=e^((ln.5)/96)

f=800e^(336(ln.5)/96)

f=70.71

So about 71mg will remain after 336 years.


5 0
3 years ago
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