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Serhud [2]
3 years ago
9

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she

drank ⅓ of the remaining water. How much water, in milliliters, does the student have left in the bottle?
Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

250mL

Step-by-step explanation:

500 * 0.75 = 375

375 * 2/3 = 250

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3 years ago
Find the angle between the given vectors to the nearest tenth of a degree.
saul85 [17]

Answer:

A

Step-by-step explanation:

Given

u = <6, -1>

u = 6i-j

and

v=<7,-4>

v=7i-4j

The formula for angle is:

Let x be the angle

cos\ x = \frac{u.v}{||u||.||v||}

where ||u|| is the length and u.v is the dot product or scalar product of both vectors

So,

||u|| = \sqrt{(6)^2+(-1)^2}\\ = \sqrt{36+1}\\ = \sqrt{37}\\ ||v||=\sqrt{(7)^2+(-4)^2}\\ = \sqrt{49+16}\\ = \sqrt{65}\\

u.v = u_1u_2+v_1v_2\\= (6)(7)+(-1)(-4)\\=42+4\\=46

cos\ x=\frac{46}{\sqrt{37}\sqrt{65}} \\= \frac{46}{\sqrt{2405} }\\Can\ also\ be\ written\ as:\\= \frac{46}{\sqrt{2405} } * \frac{\sqrt{2405} }{\sqrt{2405}} \\=\frac{46\sqrt{2405} }{2405}

The calculated angle will be in radians. To find the angle in degrees:

x = \frac{180}{\pi} cos^{-1} (\frac{46\sqrt{2405} }{2405})\\x = 20.282\\x= 20.3\\

Hence Option A is correct ..

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The probability that she will draw 2 letters is 65/126.
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4 years ago
Read 2 more answers
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