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2 years ago

14. How many degrees does the minute hand of the clock go through between 6:47 and 11:18?

Mathematics

1 answer:

kompoz [17]2 years ago

6 0

Answer:

Step-by-step explanation:

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Find s(2t - 4) for s(t) = 3t - 7 A)6t - 19 B) 6t - 18 C) 5t - 11 D) 5t - 19

asambeis [7]

Hello,

Answer A

s(x)=3x-7
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3 years ago

What is the solution to the equation 3/5[x+4/3]

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If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .

Tems11 [23]

Divide through everything by b :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}$

Since a/b < c/d, it follows that

$\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}$

Multiply through everything on the right side by b/d to get

$\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd$

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}$

and a/b < c/d tells us that

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}$

Then

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab$

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

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2 years ago

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djyliett [7]

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What is the name of the segment inside the large triangle? (had to ask again because i forgot the answer choices with my choice)

Greeley [361]

The answer is Angle Bisector.
I think this because if it were to be perpendicular the triangle would have to be congruent in SSS theorem or other.
I hope this helps!

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2 years ago

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