Formula used: cos(x) = 
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3.2n=3.2*5
3.2*5=16 the answer is 16
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The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
<u>Step-by-step explanation:</u>
Let us consider the soda bottles as x and juice bottles as y.
From the given data we can derive 2 equations,
35x+15y= 410. .....(1)
x=y+6. ....(2)
Substitute equation (2) in (1),
35(y+6)+15y=410.
35y+ 210+15y=410.
50y+210=410.
50y=410-210.
50y=200.
y=4.
Substitute y value in equation (2),
x=4+6.
x=10.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
Answer:
we know that
The volume of the prism is equal to
V=L*W*H
where
L is the length side of the base of the prism
W is the width side of the base of the prism
H is the height of the prism
In this problem we have
L=\frac{d-2}{3d-9}=\frac{d-2}{3(d-3)}
W=\frac{4}{d-4}
H=\frac{2d-6}{2d-4}=\frac{2(d-3)}{2(d-2)}=\frac{(d-3)}{(d-2)}
Substitute the values in the formula
V=\frac{d-2}{3(d-3)}*\frac{4}{d-4}*\frac{(d-3)}{(d-2)}=\frac{4}{3(d-4)}=\frac{4}{3d-12}
therefore
the answer is the option
4/3d-12
Step-by-step explanation:
