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Aleksandr [31]
1 year ago
10

Find the tangent of angle Θ in the triangle below.

Mathematics
1 answer:
Rina8888 [55]1 year ago
4 0

Answer: \frac{\sqrt{65}}{4}

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

\sqrt{9^{2}-4^{2}}=\sqrt{65}

Therefore,

\tan \theta=\boxed{\frac{\sqrt{65}}{4}}

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A local weather station collected the 12 p.m. temperature at 5 different locations in its town: Temperatures, °F: {63, 59, 60, 6
AveGali [126]
Ok so add all of them together and you get 305 then divide it by how many numbers there are for the mean and you get 61 then add all of the diffrences from each number to the mean and we get 6 then 61 divided by 6 gets us 10.1 but round it to 10. hope this helped.

7 0
3 years ago
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Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of
CaHeK987 [17]

Answer: D'(-14,1);\ E'(4,7);\ F'(4,1)

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.

In this case you can identify that:

(a,b)=(1,1)\\k=3

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:

Vertex D' → (3(-4-1)+1,\ 3(1-1)+1)=(-14,1)

Vertex E' → (3(2-1)+1,\ 3(3-1)+1)=(4,7)

Vertex F' → (3(2-1)+1,\ 3(1-1)+1)=(4,1)

6 0
3 years ago
Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the
Minchanka [31]
The slope would be 4.33. He sells 13 cars in 3 months, 13/3=4.33 cars each month. While you can't sell 4.33, remember that this is just the slope. The equation would be apprx y=4.33(x)
3 0
3 years ago
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Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study toda
dolphi86 [110]

Answer:

18 More Minutes

Step-by-step explanation:

Hi,

I think I can help.

What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.

To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.

But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)

So we can do :

40 / 4

=

10%

Also

12 / 4

=

3

So with this we can conclude that 10% of his total time is 3 minutes.

Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.

So :

10% x 10

=

100%

3 x 10

=

30 minutes

So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.

We can now simply take the total time and take off the time spent already to find this answer :

30 - 12

=

18 minutes

That is your answer, he needs to study 18 more minutes.

I hope this helps!

If you have any questions or concerns please comment or message me! :)

7 0
2 years ago
Hi what is the answer
elena-s [515]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

We can see that when you multiply x by 5, you get the y value.

So, 12*5 = 60.

4 0
3 years ago
Read 2 more answers
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