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madreJ [45]
3 years ago
7

Find the length of the longest object that will fit inside a cylinder that has a radius of 3.25 inches and is 7 inches high.

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

9.5 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of the longest linear object of small dimensions that will fit across the space diagonal of the cylinder. The relevant length is that of the hypotenuse of a triangle whose legs are the diameter and height of the cylinder.

... length² = (3.25×2)² +7² = 91.25

... length = √91.25 ≈ 9.55249 ≈ 9.5 . . . inches

_____

Ordinarily, such a number would be rounded up, but that longer length will not fit. Hence it is appropriate to round the number down.

If the object can be curled up, more than 3.2 billion miles of DNA molecule would fit in the space.

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A bridge connecting two cities separated by a lake has a length of 5927.261 yd. use the table of facts to find the length of the
alex41 [277]

Answer:

the length of the bridge in miles is 3.37 miles

Step-by-step explanation:

The computation of the length of the bridge in miles is shown below:

Given that

The length is 5927.261 yard

As we know that

1760 yard = 1 mile

So 1 yard = 1 ÷ 1760 mile

For 5927.261 yard, the miles would be

= 5927.261 ÷ 1760

= 3.37 miles

Hence, the length of the bridge in miles is 3.37 miles

5 0
3 years ago
Find the missing side length.
andrew11 [14]
So first of all you know that one side is 14cm and the other side is 6cm

What you would do is: 14-6=???







Your answer should be: 8cm
5 0
3 years ago
Can someone please help me
gtnhenbr [62]

Answer:

1) B) 10

2) B) 9

Step-by-step explanation:

1) 10x+15=115

10x=100

x=10

2) 12x+17=125

12x=108

x=9

8 0
3 years ago
Just need the answer for a and b
34kurt

Answer:

2⁵× 2ˣ = 256

x= 3

(1/3)² (1/3)ˣ = 1/729

x= 4

Step-by-step explanation:

2⁵× 2ˣ = 256

x= 3

use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ

convert both sides to the same base.

2⁵⁺ˣ = 2⁸

cancel the base of 2 on both sides.

5+x=8

subtract 5 from both sides.

x=8-5

simplify  8-5 3.

x=3

(1/2)² (1/3)ˣ = 1/729

x = 4

use division distributive property: (x/y)ᵃ=xᵃ/yᵃ

i hope this helped i didn't feel like typing the rest out though lol  :(

5 0
2 years ago
I need help asap The average length of a female dolphin is about 181 inches (in).
chubhunter [2.5K]

Answer:

the length of the female dolphin would be 9 ft 3 in

5 0
2 years ago
Read 2 more answers
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