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MaRussiya [10]
2 years ago
10

4. Find the measures of the acute angles of a right triangle whose legs are 9 cm and 16 cm long.

Mathematics
1 answer:
Snezhnost [94]2 years ago
8 0

Answer:

Apply tan x=9/16 and tan y=16/9 to get the two angles x and y, and you'll receive the solution.

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What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.
Stells [14]
The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621
8 0
3 years ago
Lim(x,0) sqrtx+11 -sqrt11/x
Rudik [331]

Answer:

=11x=qrst/x

Step-by-step explanation:

8 0
3 years ago
Can someone please solve this?
Molodets [167]
Multiplicity of a root means, is there that many times.

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x=3\implies &x-3=0\\
x=2\implies 
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x-2=0\\
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x-2=0
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\end{cases}
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(x-3)(x-2)~~(x-2)(x-2)=\textit{original polynomial}
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x^4-4x^3+4x^2-5x^3+20x^2-20x+6x^2-24x+24=y
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3 0
3 years ago
Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon lef
Nastasia [14]

Answer:

Orange ribbon Zoe use is  1\frac{3}{4} \ feet.

Step-by-step explanation:

Given:

Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon left.

Now, to find the orange ribbon Zoe use.

Let the orange ribbon Zoe use be x.

Total orange ribbon Zoe had = 3\frac{1}{8} = \frac{25}{8} \ feet.

Ribbon Zoe had left = 1\frac{3}{8} =\frac{11}{8} \ feet.

Now, to get the orange ribbon Zoe use:

\frac{25}{8} -x=\frac{11}{8}

<em>Subtracting both sides by </em>\frac{11}{8}<em> we get:</em>

\frac{25}{8} -x-\frac{11}{8} =0

<em>Adding both sides by </em>x<em> we get:</em>

\frac{25}{8} -\frac{11}{8} =x

\frac{25-11}{8} =x

\frac{14}{8}=x

x=\frac{14}{8}

x=\frac{7}{4}

x=1\frac{3}{4}\ feet.

Therefore, orange ribbon Zoe use is 1\frac{3}{4} \ feet.

8 0
3 years ago
6 ( y + 8 ) = 3 ( 2y - 7 )
tester [92]
There is no solutions.
      
6 ( y + 8 ) = 3 ( 2y - 7 )
6y + 48 = 6y - 21
      -48         -48
    6y = 6y - 27
    +27      +27
    33y÷33 = 6y÷33
          y=2/11 or 0.18

Hope this helps!
7 0
3 years ago
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