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USPshnik [31]
3 years ago
15

AngleB = Round your answer to the nearest hundredth. А 5 ? B С 4.

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

B=36.87

Step-by-step explanation:

As we are given the adjacent (a) side and the hypotenuse (h), we can use the cosine function to find the measure of angle B.

Recall that cos(B)=\frac{a}{h}

This means that in order to find B, we need to take the inverse of cosine

This gives us

B=cos^{-1} (\frac{4}{5} )

From a calculator, we find that the answer of this is

B=36.869

When this is rounded to the nearest hundredth, we get

B=36.87

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In the picture, I hope that it's a clear solution.

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Answer:

We get x=3 and y=21

The ordered pair will be: (3,21)

Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

y = 10x-9\\y = x + 18

For substitution method we substitute the value of x or y from one equation to other.

Let:

y = 10x-9--eq(1)\\y = x + 18--eq(2)

Putting value of y from equation 2 into equation 1

y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3

So, we get value of x=3

Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

y=x+18\\x=y-18

Now, putting value of x in equation 1

y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21

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2 years ago
Describe the set of points z in the complex plane that satisfy the given equation; |z-2|=Re(z).
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Answer:

Parabola with vertex at point (1,0) that goes to the right (see attached diagram).

Step-by-step explanation:

Let the complex number z be

z=x+iy,

then

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and

Re\ z=x

Thus,

\sqrt{(x-2)^2+y^2}=x

Square it:

(x-2)^2+y^2=x^2\\ \\x^2-4x+4+y^2=x^2\\ \\-4x+4+y^2=0\\ \\y^2=4x-4\\ \\y^2=4(x-1)

This is the equation of parabola with vertex at point (1,0) that goes to the right.

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Answer:

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Step-by-step explanation:

We have to model this problem initially.

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The highest recorded temperature in colorado is 118 degrees F.

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