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3 years ago

Mary is 2 times older than Bob and Bob is 5 years older than Sally. Sally is 10 years old how old is Bob

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

8 0

Answer:

Bob is 15 years old.

Step-by-step explanation:

If Sally is 10 years old and Bob is five years older than Sally then we just need to add 10+5=15.

Hope this helps!!

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If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?

svetoff [14.1K]

$sin2\alpha = \frac{260}{269}$

<u>Step-by-step explanation:</u>

We have , $Tan\alpha = \frac{Perpendicular}{Base} = \frac{10}{13}$ ,

We know that $sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }$

Substituting values of P & B , $sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }$

Now , $sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }$

⇒ $sin2\alpha =$ $\frac{10}{\sqrt{269} }$ × $\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }$ ×2

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⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )$

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⇒ $sin2\alpha = \frac{260}{269}$

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3 years ago

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Charra [1.4K]

Answer:

Step-by-step explanation:

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3 years ago

A taxi driver had 43 fares to and from the airport last Monday. The price for a ride to the airport is $12, and the price for a

leva [86]

Answer:

(25,18) is the required solution.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of trips to the airport and y represent the number of trips from the airport.

Total number of fares to and from the airport = 43

Thus, we can write the equation:

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Price for a ride from the airport = $10

Total amount collected by the driver = $480

Thus, we can write the equation:

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Solving the two equations, we get,

$12x+12y-(12x+10y)=516-480\\\Rightarrow 2y =36\\\Rightarrow y = 18\\\Rightarrow x = 43-18=25$

Thus, the driver made 25 trips to the airport and 18 trips from the airport.

The solution can be represented as (25,18)

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3 years ago

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Dominik [7]

Answer:

Your Answer is 75,000. Have a great day!

Step-by-step explanation:

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Levart [38]

$3x^2 - 4x - 5x^2 + 8x$

Set up

$-2x^2 + 4x$

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Rearrange to remove a starting negative coefficient inside the parentheses

The simplification is $\boxed{2x(2 - x)}$ .

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3 years ago