Will mark brainliest for whoever gives me the right answer and who answers first!

Answer, will mark brainliest ^^ (worth 61 points)

Sergio [31]

Answer:

1) ven diagram #1

2)160

3) 420

4)16

Step-by-step explanation:

1) lets make a ratio table:

(look at image below, sorry for the horrible writing)

the original ratios are 18 and 17, and 18+17=35 35 is the number of students who play either or both sports. 30 is the number who play either sport:

so 35-30=5

5 students play both sports:

18-5=13(baseball)

17-5=12(basketball)

2) add up all the students who do band or sports and subtract from the total number of students

so

89/464+215/464= 304/464 students play in band or orchestra or both, to find the number of students who dont:

464-304=160

3) 630/1000+420/1000=1050/1000

1050/1000-210/1000=840/1000

840/1000-420/100=420/1000

420 ppl use brand p

4) 15+9=24

40-24=16

16 ppl

hope this helps!

3 0

2 years ago

Read 2 more answers

In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t

Lorico [155]

Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2$

$\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}$