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ddd [48]
2 years ago
7

I need help finding the direction please. 100 points!

Mathematics
1 answer:
Kryger [21]2 years ago
3 0
<h3>Answer:   225</h3>

=======================================================

Explanation:

Take note that the x and y coordinate of this vector are the same.

This leads to a 45-45-90 reference triangle. If the vector was in the first quadrant (the northeast), then the answer would be 45 degrees.

However, we need to add on 180 so we get to the third quadrant instead where x and y are both negative. This gets us to 180+45 = 225 degrees

---------------

If you wanted to use a calculator, then you would compute the value of \tan^{-1}(b/a) where <a,b> is the vector in question.

Since a = b in this case, we have b/a = 1 and the arctangent of this is 45 degrees. The adjustment of adding on 180 still applies like from before.

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3 0
3 years ago
HELP PLEASE WILL MARK THE BRAINLIEST. Needs to be handed in tomorrow.
Sunny_sXe [5.5K]

Given : ABCF is a Rectangle

⇒ AB = CF

Given : AB = 6 cm

⇒ CF = 6 cm

Perimeter of a Rectangle is given by : 2(Length + Width)

Given : Perimeter of the Rectangle = 20 cm

⇒ 2(6 + BC) = 20

⇒ 6 + BC = 10

⇒ BC = 4

Given : BD = 9

But, We can See that : BD = BC + CD

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⇒ CD = 5

We know that :

✿  \mathsf{Area\;of\;Trapezium\;is\;given\;by : (\frac{a + b}{2}) \times Height}

Where : a and b are Lengths of Parallel Sides and Height is Length between those Parallel Sides

In the Given Trapezium :

The Parallel Sides are CD and EF and Height is CF

Given : EF = 3 cm

\mathsf{\implies Area\;of\;the\;Given\;Trapezium = (\frac{5 + 3}{2}) \times 6}

\mathsf{\implies Area\;of\;the\;Given\;Trapezium = 24\;cm^2}

6 0
3 years ago
You have a 32-foot fence around a square garden. There are 4 equal sections. You paint 1/3 of one section of the fence.
sergejj [24]

Answer: The \frac{1}{12} part of fence is painted.

Explanation:

It is given that we have a 32-foot fence around a square garden. There are 4 equal sections. You paint 1/3 of one section of the fence.

Since the fence divided in 4 equal parts, therefore the value of one section in fraction is  \frac{1}{4}.

After that we paint \frac{1}{3} of the one section.

Since one section is equal to \frac{1}{4}, therefore \frac{1}{3} of the one section \frac{1}{4} is,

\frac{1}{4} \times \frac{1}{3}=\frac{1}{12}

Therefore, the \frac{1}{12} part of fence is painted.

7 0
3 years ago
what is the measure of angle 3 if the measure of angle 6 is (2x-5) and the measure of angle 8 is (x+5)?
strojnjashka [21]

Answer: 115

Step-by-step explanation: just did it on edg

4 0
4 years ago
The simple interest on a certain sum of money for 2(1/2) years at 12% per annum is Rs.40
shepuryov [24]

Step-by-step explanation:

si =  p \times  \frac{r}{100}  \times t

si = 40 \times  \frac{12}{100}  \times \frac{5}{2}

si =  \frac{40 \times 12 \times 5}{100 \times 2}

si =  \frac{4 \times 12 \times 5}{10 \times 2}

si =  \frac{4 \times 12 }{5\times 2}

si =  \frac{2 \times 12}{5}

si =  \frac{24}{5}

si = 4.8

3 0
3 years ago
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