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mixer [17]
3 years ago
7

Lilly jogs one half of a mile in 1/10 of an hour what is Lilly's rate in miles per hour

Mathematics
1 answer:
Sidana [21]3 years ago
6 0
1/2 of a mile in 1/10 of 60 (.1 times 60= 6) 6mph
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I belive the correct answer would be 300 mp/h
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5 rulers/ group

Step-by-step explanation:

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Use substitution to solve the system of linear equations. In your final answer, include all of your work.
almond37 [142]
Solve for either x or y
since they give you a y equation, you should find the x equation.
x - 1/3y = -3
move the -1/3y to the right and it'll be a positive
×= 1/3y-3
now plug in the x to the y equation or vise versa
I'm going to plug in the x into the y to make things faster and less complicated.
y= (x3-9)
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7 0
3 years ago
A circle has a circumference of 6. It has an arc of length 1.
Viktor [21]

Answer:

<h3>60°</h3>

Step-by-step explanation:

Given that:

  • Circumference (C) = 6 units
  • Arc length (A) = 1 unit

<u>Find the central angle (</u><u>θ</u><u>)</u>

Arc is some part of circumference; thus,

the equation of arc length =

A = θ/360 × C

θ/360 = A/C

θ = (360×A)/C

θ = (360×1)/6

θ = 360 ÷ 6

<h3>θ = 60° ✅</h3>

Central angle = 60°

______________

#IndonesianPride

- kexcvi

8 0
3 years ago
I need to solve the equation please help me
lesantik [10]

Answer:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

Step-by-step explanation:

We are given the equation:

4\sin^2(x)+6\sin(x)+2=0

First, we can divide everything by 2:

2\sin^2(x)+3\sin(x)+1=0

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

2u^2+3u+1=0

Solve for u. Factor:

(2u+1)(u+1)=0

Zero Product Property:

2u+1=0\text{ or } u+1=0

Solving for both cases:

\displaystyle u=-\frac{1}{2}\text{ or } u=-1

And by substitution:

\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

\displaystyle x=\frac{3\pi}{2}+2n\pi

All together, our solutions are:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

4 0
3 years ago
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