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in a 30-60-90 right triangle, if the leg oposite the 30 degree angle is x then the hypontuse is 2x

if the leg oposite the 30 degree angle is 12 inches then the hypontuse is 12*2 or 24 inches

4 0

3 years ago

Jogging burns 375 calories in 45 minutes. Determine how many calories burned per hour?

Sveta_85 [38]

Answer: 500 calories

Set them as proportions
375/46=x/60
Multiply 60 to each side to eliminate fraction
Then you’ll get x=500

3 0

2 years ago

After being rearranged and simplified, which of the following equations could

masha68 [24]

Answer:

C and D

Step-by-step explanation:

The quadratic formula is

x= (-b±√b²-4ac)/2a

The formula uses the numerical coefficients in the quadratic equation.

The general quadratic equation is ax²+bx+c where a, b and c are the numerical coefficients

So, lets try and see;

$5x+4=3x^4-2\\\\=3x^4-5x-2-4\\=3x^4-5x-6\\a=3,b=-5,c=-6$

But due to the fact that in this equation you have x⁴, the equation is not a quadratic equation thus can not be solved using this formula

$-x^2+4x+7=-x^2-9\\\\\\=-x^2+x^2+4x+7+9\\=4x+16$

$9x+3x^2=14+x-1\\\\\\=3x^2+9x-x-14+1\\\\=3x^2+8x-13\\\\\\a=3,b=8,c=-13\\$

$2x^2+x^2+x=30\\\\\\=3x^2+x-30\\\\\\a=3,b=1,c=-30$

From the checking above, the equations will be C and D

7 0

3 years ago

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What is the simplified expression for Negative 3 (2 x minus y) + 2 y + 2 (x + y)?

Lana71 [14]

Answer:

$7y - 4x$

Step-by-step explanation:

$-3 (2x-y)+2y+2(x+y)\\$

Step 1: Open the brackets

$= -6x+3y +2y +2(x+y)\\=-6x +3y + 2y +2x + 2y$

Step 2: Bring the similar variables together

$=-6x +2x \ +3y + 2y + 2y$

Step 3: Simplify by adding/subtracting the coefficients of the similar variables

$= - 4x +7y$

Step 4: Rearrange as required.

5 0

3 years ago

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