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2 years ago

The measure of an angle is 71°. What is the measure of its supplementary angle?

1 answer:

5 0

Supplementary angles add up to 180°

-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°

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What Ln(z) is answer????!!

dimaraw [331]

Write z in exponential form:

$z=1-i=\sqrt2 e^{-i\frac\pi4}$

Then taking the logarithm, we get

$\mathrm{Ln}(z)=\ln(\sqrt2) + \ln e^{-i\frac\pi4} = \boxed{\ln(\sqrt2)-\dfrac\pi4i}$

so a is the correct answer.

3 0

3 years ago

PLEASE HELP step by step

Katen [24]

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }$

Here, $(x_1, y_1) = (2, -3)$ and

$(x_2, y_2) = (8, 5)$

Therefore, distance, d = $\sqrt{(8 - 2)^2 + (5 - (-3))^2$

$= \sqrt{6^2 + 8^2}$

$= \sqrt{36 + 64}$

$= \sqrt{100}$

= 10 units.

Hence, the answer.

3 0

3 years ago

The correlation coefficient r between a child’s age, x, and the number of minutes spent doing homework each day, y, is 0.694. Wh

jonny [76]

So, they are looking for the percentage that is NOT explained... Well, given the r we can find the percentage that IS explained by it first. That's given by r^2.

Now - let's take the square of r it gives me .481636. That means that about 48% IS explained. Therefore, the part that cannot be explained must be the missing part (out of 100% so 100% - 48.1636% should be it :)

So 100% - 48.1636% = 0.518364 and we want to round that off to three decimal places which will give us 0.518... and then we could convert that to a percent for the final. So 0.518 as a percentage is 51.8%! s

3 0

3 years ago

The side of a square is 2.5 cm . Find its perimeter and area

nika2105 [10]

Answer:

Perimeter: 2.5+2.5+2.5+2.5=10.00

Area: 2.5x4=10

Step-by-step explanation:

6 0

2 years ago

If the mass of the

DaniilM [7]

Answer:

the mass of liquid is 1,050 g

Step-by-step explanation:

subtract the total mass with the mass of the container

7 0

2 years ago