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Elodia [21]
3 years ago
9

Lena and Jade had a total of $36. Lena had twice as much as Jade. After each of them bought a movie ticket. Lena had 3 times as

much money as Jade. How much money did Lena have in the beginning? How much was a movie ticket?
Mathematics
1 answer:
marusya05 [52]3 years ago
4 0
Lena had $24 at the beginning
the movie ticket was $6
it's just basic algebra
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Step-by-step explanation:

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4 0
3 years ago
Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

So to nearest tenth, \angle JOG=95.5^{circ}

8 0
3 years ago
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5 0
3 years ago
Read 2 more answers
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Liula [17]

\sqrt{((-6)-(-5))^2 +(9-2)^2}=5\sqrt{2} \approx 7.071

8 0
1 year ago
Jack bought 4 dozen eggs at $10 per dozen. 6 were broken. what percent of his money goes to waste
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he paid = 4*10 = $40

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