A race is 7/10 kilometers long. Maya ran 9 of these races. How far did she run altogether? Write your answer in simplest form.
1 answer:
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Answer:
Step-by-step explanation:
First, turn the word problem into an equation:
n(a number) was divided by 2
followed by this quotient beying multiplied by 4
*4
the product was added to 9
*4+9
the total sum was 25
*4+9 = 25
use PEMDAS to solve the equation
subtract 9 on both sides
*4 = 16
cancel the 2 and the 4 using factorization
n*2 = 16
divide 2 on both sides
n = 8
<span>4. Simplify the expression.
sine of x to the second power minus one divided by cosine of negative x</span>
</span>sin2x+cos2x=1</span> <span>1−sin2x=cos2x<span>
</span>cos2(x)/(sin(x)−csc(x))</span> <span>csc(x)=1/sin(x)</span> <span>cos2(x)/(sin(x)− 1/sin(x))= cos2(x)/((sin2(x)− 1)/sin(x))</span> <span>sin2(x)− 1=-cos2(x)</span> <span>cos2(x)/(( -cos2(x))/sin(x))
=-sin(x)</span>
<span>the answer is the letter a) -sin x
</span><span>5. Find all solutions in the interval [0, 2π). (6 points)
sin2x + sin x = 0
</span> using a graphical tool
the solutions x1=0 x2=pi <span>x3=3pi/2
the answer is the letter </span><span>D) x = 0, π, three pi divided by two</span>
