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Rzqust [24]
3 years ago
6

Show that:sin60=2tan60/1+tan²60​

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer:

Step-by-step explanation:

2 tan(60) = 2 * (sqrt(3)/2 = sqrt(3)

1 + tan^2(60) = 1/cos^2(60) = 1//1/4 = 4

The answer is going to look a little convoluted but it should be correct.

The answer so far is sqrt(3) /4

sin(60) = sqrt(3)/2    

of the 4, two is needed to get sqrt(3)/2

So far then we have sin(60)/2

If we multiply by 2 as in (sin(60)/2) we get just sin(60)

2* sqrt(3) /4 then  = 2 sin(60)

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A School decides to organize field trips for all students. Tickets for first years were sold at GH¢0.40 per student and continui
Pepsi [2]

Answer:

60%

Step-by-step explanation:

You can solve this problem by setting up a system of equations.

Let's say that the number of tickets bought by students in the first year is x, and the number bought by continuing students is y. From there, you can set it up like this:

0.4x+0.2y=160

x+y=500

Now, you can multiply the first equation by 5 on both sides to get:

2x+y=800

Subtracting the second equation from the first equation now yields:

x=300

y=200

Since 300 of the 500 tickets bought were from the first year students, and 300/500 is 0.6, 60% of the students who bought the ticket were first year students. Hope this helps!

7 0
3 years ago
A recipe requires 1/4 lb of onions to make 3 servings of soup mark has 1.5 lbs of onions how amy sevings can mark make
Flura [38]
Sounds like 18 servings to me.

6 quarters go into 1.5

6 x 3 is 18 so 18 servings.
5 0
3 years ago
The
stiv31 [10]

Answer:

x = -3. Y = 12

Step-by-step explanation:

the answer is D

6 0
3 years ago
Multiply. use the gcf. 3/4 7/9
oee [108]

21/36.

All you have to do is multiply numerators by numerators and denominators by denominators. Simplify if needed

Please consider marking branliest if this helped

7 0
3 years ago
Can someone please help me with this geometry homework?
Leno4ka [110]

The distances between the two points, in units, are given as follows:

7. \sqrt{2}

8. 2\sqrt{17}

9. 3\sqrt{2}

10. 3\sqrt{5}

The midpoints are given as follows:

11. (7,-4.5).

12. (2,4).

13. (7,0.5).

14. (5.5,-1.5).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:

D = \sqrt{(-4 + 3)^2 + (-3 + 2)^2} = \sqrt{2}

For item 8, the points are (-3,1) and (5,3), hence the distance is:

D = \sqrt{(5 + 3)^2 + (3 - 1)^2} = \sqrt{68} = 2\sqrt{17}

For item 9, the points are (-3,0) and (0,-3), hence the distance is:

D = \sqrt{(0 + 3)^2 + (-3 - 0)^2} = \sqrt{18} = 3\sqrt{2}

For item 10, the points are (1,-2) and (4,4), hence the distance is:

D = \sqrt{(4 - 1)^2 + (4 + 2)^2} = \sqrt{45} = 3\sqrt{5}

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence, for item 11, the midpoint is given by:

[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).

For item 12, the midpoint is given by:

[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).

For item 13, the midpoint is given by:

[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).

For item 14, the midpoint is given by:

[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

8 0
2 years ago
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