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Alex787 [66]
3 years ago
7

In which quadrant is the number –14 – 5i located on the complex plane?

Mathematics
1 answer:
AlekseyPX3 years ago
4 0
On the complex plane, the real component of a complex number is graphed along the horizontal axis while the imaginary component is graphed along the vertical axis.

Positive numbers go to the right on the real axis and up on the imaginary axis, and vice versa for negative numbers.

Therefore, the number -14-5i is in the 3rd quadrant because it graphed to the left of the origin and down.
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The measure of one triangle is 118. The other two angles are congruent. What is their measure?
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3 years ago
H/108=7/18<br> Please answer proportion
Oliga [24]

Answer:

<em>H </em>= 42

Step-by-step explanation:

18 ÷ 108 = \frac{1}{6}

7 ÷ \frac{1}{6} = 42

You can check to make sure your answer is right by entering your proportions into a calculator. For example, \frac{42}{108}=0.38888888888... and \frac{7}{18} also equals 0.38888888888... so since they match, we know it is correct.

Make sure you know how to do your proportions without Brainly, that way you don't flunk your next quiz/test!

7 0
3 years ago
A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?
masya89 [10]

Answer:

333.3 meters per minute

Step-by-step explanation:

<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

\frac{20km}{1hr}

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} ...

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0
3 years ago
In the figure, c // d. What are the measures of &lt;1 and &lt;2? Enter your answers in the boxes. Just write the numbers. (not t
SpyIntel [72]

Answer:  <1 = 105° and <2 = 75°

Step-by-step explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees

8 0
3 years ago
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