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Dmitriy789 [7]
3 years ago
10

A machinist drilled a conical hole into a cube of metal as shown.

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

512ft³

Step-by-step explanation:

If the cube its sides of all 8 feet, then the length, width, and height is 8 feet. Then, multiply 8 by 8 you get 64 and then multiply 64 by 8 to get 512.

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Curt and Ian both ran a mile. Curt time was 8/9 of Ian time. Who ran faster?
Leona [35]

Curt because if his time was 8/9 of Ian's time then that means he ran the mile in a fraction of Ian's time, so he finished the mile quicker. Curt ran faster.

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3 years ago
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What is the approximate distance between the points (–5, 4) and (2, –8)?
Volgvan

Answer:

option d is the correct answer

Step-by-step explanation:

Distance Equation Solution:

d=radical(2−(−5))2+(−8−4)2

d=radical(7)2+(−12)2

d=radical49+144

d=radical 1–93

d=13.892444

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3 years ago
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In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence
expeople1 [14]

The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

6 0
3 years ago
Equation- s=db-6, solve for d
Liono4ka [1.6K]

Answer:

d \:  =  \frac{s + 6}{b}

Step-by-step explanation:

s = db - 6

Isolate d

s + 6 = db

.

Divide both sides of the equation by b

\frac{s + 6}{b}  =  \frac{db}{b}

Simplify

\frac{s + 6}{b}  = d \\ d =  \frac{s + 6}{b}

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The sale price is $42. 70 x 0.60
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