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2 years ago

(5-3i)+(4+2i) what is the solution ?

Mathematics

2 answers:

Vaselesa [24]2 years ago

7 0

Answer:

−14+22i

Step-by-step explanation

yourwelcome

Tomtit [17]2 years ago

4 0

Answer:

-i + 9 should be the right answer

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A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr

sweet-ann [11.9K]

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

$h^{2} = a^{2} +b^{2}$

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

$h^{2} = 20^{2} +15^{2}$

⇒ $h^{2} = 400+225= 625$

⇒ $h^{2} = 625$

⇒ $h= \sqrt{625}= \sqrt{25^{2} }$

We know $\sqrt{x^{2} } = x$ .

∴ $h= 25\ miles$

∴ Distance of Port from the Island is 25 miles.

6 0

3 years ago

Please answer correctly see image bellow.

shepuryov [24]

Answer:

51.9 sec

Step-by-step explanation:

4 0

2 years ago

PLEASE HELP!!!

pogonyaev

Step-by-step explanation:

Part A:

Let $m$ be the number of mittens and $s$ be the number of scarves. Then we have the inequalities:

$s+m\leq 30.$ <em>This says Nivyana and Ana cannot make more than 30 scarves</em>

$50s+25m\geq 1000.$ <em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>

Part B:

The graph is attached.

Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.

The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.

Part C:

From the graph we get two possible solutions:

15 scarves & 10 mittens

25 scarves & 5 mittens.

These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>

8 0

2 years ago

find the value of each variable in the circle to the right. the dot represents the center of the circle.

gladu [14]

We have been given an image of a circle. We are asked to find the value of each variable.

We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.

we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.

$a=\frac{1}{2}\cdot 99$

$a=49.5$

Therefore, the value of a is 49.5 units.

We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:

$a+b+\frac{1}{2}c=180$