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3 years ago

If a person making $35 an hour gets a 10% raise, how much will that person now make in a 6 hour day

Mathematics

1 answer:

Montano1993 [528]3 years ago

4 0

Answer:

$231 over a 6 hour period

Step-by-step explanation:

the person is already making $35

10% of $35 is 3.50

$35 + $3.50 = $38.50 per hour

$38.50 x 6 hours = $231

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Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.

bogdanovich [222]

Answer:

tan35 = 9/x

Step-by-step explanation:

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3 years ago

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What is the 10th term for sequence 4; 8; 13; 19; 26

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Answer:

Step-by-step explanation:

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2 years ago

If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

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4 years ago

Use the quadratic formula to write a quadratic equation that has the solutions x=-4 ± 2/6.

yKpoI14uk [10]

Step-by-step explanation:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

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2 years ago

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What is the length of xy?

Sav [38]

Given:

$XR=x+8$

$RY=4x-10$

Since R is the midpoint of the line, we can set XR equal to RY and solve for x.

$RY=XR$

$4x-10=x+8$

$4x=x+18$

$3x=18$

$x=6$

Now we know what x is. We can plug in x to RY and XR and then add it all together to find XY. Let's find XR:

$XR=6+8$

$XR=14$

Let's find RY now:

$RY=4(6)-10$

$RY=24-10$

$RY=14$

Since we know that:

$XR+RY=XY$

We can plug in our answers:

$14+14=XY$

Final answer:

$XY=28$

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4 years ago

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