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bonufazy [111]
3 years ago
5

Need to know how to work out 3762 decide by six

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0
See solution in photo! Please mark me as brainliest and give a thanks if it helped :) have a nice day

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A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the
Bezzdna [24]
Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.

The volume of a cone is:

V = \dfrac{1}{3} \pi r^2 h

Total volume:

V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19

Volume of upper cone:

V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8

Volume of frustum:

V_f = \dfrac{1}{3}\pi(7.5^2)(19) - \dfrac{1}{3}\pi(3.5^2)(8)



3 0
3 years ago
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Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
Mamont248 [21]
0.05(0.85y)=5%(of the onsale dvd) and a is just the on sale dvd (85%)
8 0
3 years ago
If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .​
Tems11 [23]

Divide through everything by <em>b</em> :

\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}

Since <em>a/b</em> < <em>c/d</em>, it follows that

\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}

Multiply through everything on the right side by <em>b/d</em> to get

\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.

For the other side, you can do something similar and divide through everything by <em>d</em> :

\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}

and <em>a/b</em> < <em>c/d</em> tells us that

\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}

Then

\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.

Then together we get the desired inequality.

5 0
3 years ago
Estimate 40% of 128<br> Please help :c
Ivanshal [37]

Answer:

<u>51.2</u> is 40% of 128

Step-by-step explanation:

3 0
3 years ago
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Simplify by dividing (-5/8)÷(-3/4)​
Olenka [21]
Here pls give brainliest

8 0
3 years ago
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