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rosijanka [135]
3 years ago
8

a group of students surveyed chose baseball and soccer as their favorite sport in the ratio 3:8. if 132 students were surveyed f

ind the number of students that chose doccer as their favorite sport?
Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0
132 people surveyed
132 ÷ (8+3)
12
12 x 8
96 people choose soccer
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In the triangle below, what is the length of the side opposite the 30 degree angle?
Vitek1552 [10]

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

5 0
2 years ago
Ten times the sum of half a number and 6 is 8
KATRIN_1 [288]

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Yep !  By golly, sho nuff, dV-dT and E to the X !  
Everything checks out, and the mystery number is      - 10.4

5 0
3 years ago
Write the number that has one unit 3 hundreds 8 thousands and 6 tens of thousands
ValentinkaMS [17]

Answer:

i believe it's   .0386

Step-by-step explanation:

3 0
3 years ago
Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?
lilavasa [31]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 2 &,& 3~) 
%  (c,d)
&&(~ 4 &,& -3~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}

now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{-3}{1}\\\\
negative\implies  +\cfrac{3}{ 1}\qquad reciprocal\implies +\cfrac{ 1}{3}\implies \cfrac{1}{3}
7 0
3 years ago
The base of the right triangle drawn in the regular octagon measures 0.7 cm.
Otrada [13]

Answer:

11.2

Step-by-step explanation:

a right triangle in an octagon is 1/2 a side length so to find the side length you must add .7 + .7. Next to find the perimeter of the octagon you must multiply the number of sides 8 by .14 which equals 11.2

5 0
3 years ago
Read 2 more answers
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