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Colt1911 [192]
3 years ago
12

Two islands are in the ocean. If the central angle with vertex at the center of the earth and rays that pass through these two i

slands measures 12’, how many statute miles apart are they?
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0
The central angle with vertex at the center of the Earth is : α = 12` = 1/5° = 0.2°.
The distance between two islands:
L = R π α / 180°
Earth radius = 6,317 km = 3,959 miles
L = 3,959 · 3.14 · 0.2° / 180°
L = 13.82 miles
Answer: Two islands are 13.82 statute miles apart.
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Answer:

It would be 78.539...

Step-by-step explanation:

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Now with the radius, it can simply be plugged into the equation for the answer:

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3 years ago
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The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
5. Write two inequalities to compare -17 and -22.
galina1969 [7]

Answer:

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8 0
3 years ago
Derek was 4 years 2 months old when he joined school. Today he is 11 years 1 month old. For how long has he been in school?
lora16 [44]

Answer:

hi

Step-by-step explanation:

first of all,we should do this:

1 year is 12 month

amd 4 year is 48 month(12×4)

then we must add 2 months (wich is given) to 48

He was 50 months old when he started school

and we should find how old is he now

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133-50=83 ( he has been 83 months in school)

let's turn it to years 6 years 11 months

( for finding years you should divide 83 to 12)

hope it helps

6 0
2 years ago
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