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Kruka [31]
3 years ago
8

cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same vo

lume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

The answer is "v_1 \ and\ v_2 are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\

We are planning to write this as V = \frac{Bh}{3}

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. v_1 \ and\ v_2 are so similar.

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PLEASE HELP !! IT WOULD BE GREATLY APPREACIATED ! I DONT KNOW HOW TO DO THIS
serg [7]

(A) Bella's TV ratio of sides: 36"/27" = 1.333...

Lenny's: 52"/29.25" = 1.777...

Bella's and Lenny's TVs are NOT similar - their side ratios are different. Bella's is 4:3 while Lenny's is close to 16:9.

(B) Bella's TV has an exact ratio of 4:3 (36/27=4/3) and so is the older type.

Lenny's TV has a ratio of 52"/29.25". Divide both 52 and 29.25 by 3.25 to get 16/9, or 16:9. So Lenny's is the newer type.


4 0
3 years ago
Use distributive property to solve the equation 5( 2x +4) =30<br> A. x-2<br> B. x=1<br> c. =10
jeyben [28]

Answer:

B

Step-by-step explanation:

5(2x+4)=30

10x+20=30

10x=10

x=1

4 0
2 years ago
Read 2 more answers
Multiply eight and eighty-eight hundredths by two and three tenths
zimovet [89]

Answer:

20.424

Step-by-step explanation:

Given words can be written as

Eight and eighty-eight hundredths = (8+\frac{88}{100})

                                                            = \frac{800+88}{100}

                                                            = 8.88

Two and three tenth = (2+\frac{3}{10})

                                   =  \frac{20+3}{10}

                                   =  2.3

Now multiply them

i.e 8.88 × 2.3 = 20.424

So 20.424 is the Answer

7 0
2 years ago
Is terry swim three lapse in 2.5 minutes how long would it take her to swim 20 laps at the same rate
beks73 [17]
3 laps in 2.5 minutes

1 lap = 2.5/3  minute

20 laps =   (2.5/3)*20 = 16.67

20 laps ≈ 16.67 minutes 
5 0
3 years ago
Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850.
hodyreva [135]

Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25  .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 .........................  equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

#SPJ1

7 0
2 years ago
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