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Maslowich
3 years ago
10

120 children go on a holiday. The ratio of the number of girls to the number of boys is 3:5. On Sunday, all the children either

go sailing or go climbing. 16/25 of the boys go climbing. Twice as many girls go sailing as go climbing. Work out how many children go sailing on sunday.
Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

32/50

Step-by-step explanation:

hope this helps if not sorry :)

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The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin
Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that x=rcos(\theta) and y=rsin(\theta) where \theta=angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi

Now we will calculate the height of the building using the y equation and so:

y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi

The building is 0.034921 miles or approximately 184.3774 feet tall.

4 0
3 years ago
The half-life of a certain substance is 20 years. How much of a 100 gram sample will be left after 20 years?
cluponka [151]

\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &100\\ t=\textit{elapsed time}\dotfill &20\\ h=\textit{half-life}\dotfill &20 \end{cases} \\\\\\ A=100\left( \frac{1}{2} \right)^{\frac{20}{20}}\implies A=100\left( \frac{1}{2} \right)^1\implies A=50

5 0
3 years ago
Read 2 more answers
Please solve this:<br> 6-2x=3
Westkost [7]

Answer:

-4

Step-by-step explanation:

6 - 2x = 3

-2x = 3 + 6

-2x = 8

x= \frac{8}{-2}

x= -4

I apologize if this isn't the right answer.

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What is the measure of Angle R?
Ostrovityanka [42]

Answer:

60°.

Step-by-step explanation:

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3 years ago
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dusya [7]
B) 71 degrees celcius
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3 years ago
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