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UNO [17]
3 years ago
7

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

⇒ sin2\alpha  = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} }  )

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

⇒sin2\alpha  = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} }  )

⇒sin2\alpha  = \frac{260}{269}

6 0
3 years ago
1. Which of the following is true?
Charra [1.4K]

Answer:

Step-by-step explanation:

7 0
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:

x+y = 43

Price for a ride to the airport = $12

Price for a ride from the airport = $10

Total amount collected by the driver = $480

Thus, we can write the equation:

12x+10y=480

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)

7 0
3 years ago
What is the product 250x300
Dominik [7]

Answer:

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

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3x^2 - 4x - 5x^2 + 8x <br> simplify it please
Levart [38]

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

  • Set up

-2x^2 + 4x

  • Combine like terms

2x(-x + 2)

  • Take out a common factor

2x(2 - x)

  • Rearrange to remove a starting negative coefficient inside the parentheses

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

3 0
3 years ago
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