Ali and Omar cycle around a cycle track.

Mathematics

1 answer:

kari74 [83]3 years ago

3 0

Answer and step-by-step explanation:

First, we will have to know at what time they will cross the line at the same time. So we can do the equation:

50 * 80 = 400

That means in 400 seconds they will be level again. Now, let's find Ali's amount of laps for 400 seconds, if it takes Ali 50 seconds for one lap. We can do:

400/50 = 8

This means it will take Ali 8 seconds to be leveled with Omar. Now Omar has the equation:

400/80 = 5

Because it takes him 80 seconds to take one lap. Therefore, it will take Ali 8 laps, and Omar 5 laps to be at the same starting line. Hope this helps!

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Please answer it now in two minutes

zimovet [89]

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

$sin X = \frac{6}{7}$

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$X = sin^{-1}(0.8571)$

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3 years ago

Please help, this will just take a minute of your time ❤︎ (literally)<br>(Discriminant Worksheet)

igomit [66]

Answer:

$\large\boxed{x=-\dfrac{7-\sqrt{97}}{4}\ \vee\ x=-\dfrac{7+\sqrt{97}}{4}}$

Step-by-step explanation:

$ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{We have:}\\\\-2x^2-7x+10=4\qquad\text{subtract 4 from both sides}\\\\-2x^2-7x+6=0$

$a=-2,\ b=-7,\ c=6\\\\\Delta=(-7)^2-4(-2)(6)=49+48=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x=\dfrac{-(-7)\pm\sqrt{97}}{2(-2)}=\dfrac{7\pm\sqrt{97}}{-4}=-\dfrac{7\pm\sqrt{97}}{4}$