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garik1379 [7]
3 years ago
14

A sixth's grader class had 12 boys and 24 girls. Write two more statements comparing the number of boys in class to the number o

f girls.
Mathematics
2 answers:
ahrayia [7]3 years ago
7 0
The ratio of boys to girls is
12:24
(which is already one statement)
the ratio, simplified, is
1:2
(ratio are like fractions, which is how I was able to "simplify" it)
leonid [27]3 years ago
7 0
If you are looking for statements then you can say:
The number of boys in the class was twice as big as the girls
The number of girls was twice as small as the boys
I hope this helped
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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
An angle measuring 3.5 radians is equal to which of the angle measures given below? Check all that apply.
Tresset [83]
The answers are B & C.

First thing to d o is convert Radians to Degrees. 1 radians = 180/pi . So, 3.5 radians times 180 divided by \pi = 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.

Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.

1 degree = 60 mins
1 minute = 60 seconds

Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus 32 minutes
then multiply 0.113698 by 60 to get 6.82188 ~ 7 seconds.

therefore, conversion would yield an answer 200 degrees 32 minutes and 7 seconds.
6 0
3 years ago
Can you please solve this please and thank you.
Lilit [14]

Answer:

The answer is 3

Step-by-step explanation:

It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B

4 0
3 years ago
Read 2 more answers
A family has an annual income of ​$30,600 Of​ this, 1/4 is spent for​ food, 1/5 for​ housing, 1/10 for​ clothing, 1/9 for​ savin
Ksenya-84 [330]

Answer:

$6,120

Step-by-step explanation:

1/5 (one-fifth) of the family's annual income ($30,600) is spent on housing- as the word problem states.

You have to find 1/5 (one-fifth) of* $30,600.

Write it out as an equation.

\frac{1}{5}  \times 30600

*The <em>of</em><em> </em>in the word equation (1/5 of 30600) simply means multiplication.

4 0
3 years ago
What is the quotient of -10 and -5?
Andreyy89

Answer:

2.

Step-by-step explanation:

-10 divided by -5 is 2.  The two negatives cancel each other out.

5 0
3 years ago
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