The value of u in the special triangle is 2√3
<h3>How to solve for u in the special triangle?</h3>
The complete question is added as an attachment
From the attached figure, the value of u can be calculated using the following sine trigonometry ratio
sin(x) = Opposite/Hypotenuse
Where
x = 30
Opposite = u
Hypotenuse = 4√3
Substitute the known values in the above equation
sin(30) = u/4√3
Multiply both sides of the equation by 4√3
u = 4√3 * sin(30)
Evaluate the trigonometry expression sin(30)
u = 4√3 * 1/2
Evaluate the product
u = 2√3
Hence, the value of u in the special triangle is 2√3
Read more about right triangles at:
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Answer:
58
Step-by-step explanation:
Coins Number of Drawsnickel 32penny 54dime 13quarter 29Total Number of Draws = 32 + 54 + 13 + 29 = 128Probability of Quarter drawn = 29/128the number of times a quarter would be drawn if Venessa draws a coin 256 times = (29/128) * 256= 29 *2= 58 option B is the right answer
Rates are used to measure a quantity over another.
<em>The 1.8 million cars use </em>
<em> liters each year</em>
Given
--- distance
First, we calculate the number (n) of gallons used by each car
Solve for n
So, we have:
Convert miles to kilometers
The number of gallons (N), used by all the cars is:
Convert to liters
In scientific notation to 2 decimal places, we have:
<em>Hence, the number of liters used is </em><em />
Read more about distance and rates at:
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Answer:
12x^2-4x
Step-by-step explanation:
5x + 4x^2 - 9x + 8x^2
Combine like terms
4x^2+8x^2+5x-9x
12x^2-4x
*See diagram in the attachment
Answer:
27 inches
Step-by-step explanation:
Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches
Perimeter of rectangle = 2(L + W)
L = 11 in.
W = 7 in.
Perimeter of rectangle = 2(11 + 7) = 36 in.
Let perimeter of the triangle be represented by x
Therefore:
36 + x = 63
Subtract 36 from each side
x = 63 - 36
x = 27
Perimeter of triangle = 27 inches
