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exis [7]
3 years ago
15

Of the 30 girls who tried out for the lacrosse team at Euclid Middle School,12 were selected.Of the 40 boys who tried out, 16 we

re selected.Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls?How do you know?
Mathematics
1 answer:
const2013 [10]3 years ago
3 0
30:12 reduces to 10:4 or 5:2 40:16 reduces to 10:4 or 5:2 so yes they are the same for both boys and girls.
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When translating a number to the scientific notion (ex: 0.000157), do you count the zero to the left of the decimal point? Like
tankabanditka [31]
Yeah, you’re right, I like to think that when the number is a decimal and I have to put it in scientific notation the exponent next to the 10 is negative and then when the number is a whole number and I have to change it to scientific notation then the exponent next to the ten is positive.
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Sam studied guinea pigs for his science fair project. He found that the amount of weight the guinea pigs gained varied directly
borishaifa [10]

Answer: C= 1,090 and the W= 5.

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3 years ago
In ∆ABC, m∠A = 60º, m∠C = 30º, and AB = 6 inches. What is the length of side BC?
Alex17521 [72]

The length of the side BC is 6√3 inches

Step-by-step explanation:

Let us revise the sine rule

In Δ XYZ

  • The side XY is opposite to angle Z
  • The side YZ is opposite to angle X
  • The side XZ is opposite to angle Y
  • The sine rule is \frac{XY}{sin(Z)}=\frac{YZ}{sin(X)}=\frac{XZ}{sin(Y)}

In Δ ABC

∵ m∠A = 60°

∵ m∠C = 30°

∵ AB = 6 inches

- By using the sine rule

∵ AB is opposite to ∠C

∵ BC is opposite to ∠A

∵  \frac{AB}{sin(C)}=\frac{BC}{sin(A)}

∴ \frac{6}{sin(30)}=\frac{BC}{sin(60)}

- By using cross multiplication

∴ BC × sin(30) = 6 × sin(60)

∵ sin(30) = \frac{1}{2}  and sin(60) = \frac{\sqrt{3}}{2}

∴ \frac{1}{2} BC = 6( \frac{\sqrt{3}}{2} )

∴ \frac{1}{2} BC = 3\sqrt{3}

- Multiply both sides by 2

∴ BC = 6√3

The length of the side BC is 6√3 inches

Learn more:

You can learn more about the triangles in brainly.com/question/1238144

#LearnwithBrainly

4 0
3 years ago
Please help!! (Number 73)
Rasek [7]
So hmm notice the picture below

one is 7x5x1.75 the volume of a rectangular prism is V = length * width * height

so 7*5*1.75 gives us 61.25 ft³

the second one, is larger by some width and length we dunno, but we know that it required that 61.25 plus an extra 17.5 to fill it up, so its volume is 61.25 + 17.5 or 78.75

the height is the same... so \bf V=l\cdot w\cdot h\qquad 
\begin{cases}
l=length\\
w=width\\
h=height\\ --------\\
h=1.75\\
V=78.75
\end{cases}\implies 78.75=lw\cdot 1.75
\\\\\\
\cfrac{78.75}{1.75}=lw\implies 45=lw

so.. if you factor 45, to two factors, one will be the length, the other the width

3 0
3 years ago
Donaldo is trying to figure out the recursive form of the following sequence to understand some of the expenses reported in his
madam [21]

Answer:

a_n=a_{n-1}-9

Step-by-step explanation:

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3 years ago
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