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GuDViN [60]
2 years ago
10

What is the value of x in the triangle? х 30 7V3 60°

Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

Answer:

A. 21

Step-by-step explanation:

Use the trigonometric function for the tangent of an angle because the adjacent side of the right-angled triangle is provided in the question, whilst the opposite side is x.

tan = opposite / adjacent

tan 60° = x / 7 * sqrt(3)

Now make x the subject of the equation.

x = tan 60° * 7 * sqrt(3)

x = 21

When multiplying, take into consideration all the digits on your calculator display.

Hope this helped!

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A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost
iris [78.8K]

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

50000x = 2350000

x = \frac{2350000}{50000}

x = 47

The venue has to host 47 events throughout the year

6 0
3 years ago
2. Select all the equations that have the same solution as the equation 3x - 12 = 24.
PIT_PIT [208]

Answer:

a and b

Step-by-step explanation:

15x-60=120

15x-60-60=120-60

15x=60

15x/15=60/15

x=4

3x=12

3x/3=12/3

x=4

8 0
3 years ago
Find the measure of each angle indicated. Round to the nearest whole degree.
IceJOKER [234]
D. 48 degrees
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3 0
3 years ago
Help!! (: please choose the best estimate
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Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A square has the sides length 2k-1 units. An equilateral triangle has the sides of the length k+2 units. the square and the tria
AlladinOne [14]
I think that you assumed that:
2k - 1 = k + 2

However we can't do this, because a square has 4 sides whilst a triangle only has 3 sides. 
This means that we can say
4(2k - 1) = 3(k + 2) 

We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.

Lets expand the brackets, and solve it:

4(2k - 1) = 3(k + 2)
8k -4 = 3k + 6
5k -4 = 6    ( subtract both sides by 3x to collect the x values)
5k = 10      (add both sides by 4 to get the x's alone)
k = 2           (divide both sides by 5 to get what just x is)

So k = 2 units
8 0
3 years ago
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