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3 years ago

Emily is entering a bicycle race for charity. Her mother pledges $0.10 for every 0.75 mile she bikes. If Emily

Mathematics

1 answer:

Mrrafil [7]3 years ago

4 0

Answer:

1.60$

Step-by-step explanation:

first, we have to figure out haw many times 0.75 goes into 12

pretty sure you just want the answer to this and not me to explain the whole thing so:

if you multiply 0.75 by 16 you get 12.

16x0.10= 1.6

so her mother gave 1.60$

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Given the figure above, determine

tensa zangetsu [6.8K]

Answer: Angle 2 = 47 degree

Explanation:

Proof that triangle ACB ~ triangle CBD

Angle ABC = Angle CBD (same angle)

If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.

=> angle ACD = Angle CDB

Therefore, triangle ACB ~ triangle CBD (AA)

=> angle C = Angle A

But angle A = 47 degree

Therefore, Angle C = Angle 2 = 47 degree

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2 years ago

I don’t understand this

Alexandra [31]

Answer:

-15.41

Step-by-step explanation:

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Brrunno [24]

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3 years ago

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anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

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3 years ago

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wariber [46]

Answer:

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Step-by-step explanation:

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