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Georgia [21]
3 years ago
5

(can someone please help me answer this question i will make you brainliast)

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

x = 5\sqrt{3}

Step-by-step explanation:

Using the tangent ratio and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{x}{5} = \sqrt{3} ( multiply both sides by 5 to clear the fraction )

x = 5\sqrt{3}

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A point is refected across the x-axis. The new point is (5,-3.5).What is the distance between the two points?
Vesna [10]
When a point is reflected across the x-axis, it's y value is flipped. Here is a formula for your future reference:

X-axis reflection: (x,-y)

Using your given coordinates, you simply plug the numbers in, resulting in final coordinates of (5,3.5).

Because the problem asks for the distance between the two points, you now have to find the difference between -3.5 and 3.5, which is 7.

There you go; the distance between the points is 7 units.
5 0
4 years ago
The "Garbage Project" at the University of Arizona reports that the amount of paper discarded by households per week is normally
dedylja [7]

Answer:

The answer is 71.61%.

Step-by-step explanation:

Households discarding paper week is given to be normally distributed with a mean, \mu = 9.4 lb.

The normally distributed distribution has a standard deviation given as \sigma = 4.2 lb.

The proportion of households that throw out at least 7 lb of paper a week is to be found.

Therefore we have to find p(X ≥ 7) which can be written as

   p(X ≥ 7)  = 1 - p(X < 7)

                  = 1 - p( Z < \frac{x - \mu}{\sigma} )

                 =  1  - p( Z < \frac{(7 - 9.4)}{4.2} )

                 = 1 - p( Z < -0.571 )

                 = 1 - 0.2839

                 = 0.7161

Therefore the percentage of households that throw out at least 7 lb paper a week is 71.61%

6 0
3 years ago
Determine the approximate value of a.<br><br> 18.11<br> 7.05<br> 7.95<br> 9.71
Alex777 [14]

Answer:

7.95

Step-by-step explanation:

In order to solve this, we need to use the rule of sine which is (a/sinA)=(b/sinB)=(c/sinC). Since we have both values of c we can do (12/sin104), which equals ~12.37. Therefore, since we already have A, 12.37=(a/sin40). We can change this by doing sin40×12.37=a. sin40×12.37=7.95.

6 0
3 years ago
52 thousandths in Scientific notation
Katyanochek1 [597]

Answer:

52 thousandths is 5.2 x 10^-2 (0.052)



8 0
3 years ago
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If you live 35 miles from work &amp; drive 35 mph how long would it take to get there
Maurinko [17]
It would take one hour. 
4 0
3 years ago
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