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N76 [4]
3 years ago
8

Please help find the missing length

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:a²=b²+c² in a right angle triangle so answer is root 136

Step-by-step explanation:

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Alenkasestr [34]
A = h x b; where A = area of a triangle; h = height of the triangle; b = base of the riangle;
So, we have the equation : 110 = (3b - 8)b;
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The positiv solution  is b = 7.53 cm;
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3 years ago
What is the argument of -5\sqrt{3}+ 5i?
Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

\theta=30

So 90-30=60.

The answer therefore 60+90=150.

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2 years ago
Solve 15x + 2 = 47 (what is the value of the variable “x?”) *
Dima020 [189]

Answer:

x = 3

Step-by-step explanation:

15x + 2 = 47 \\ 15x = 47 - 2 \\ 15x = 45 \\ x =  \frac{45}{15}  \\ x = 3

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago
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