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attashe74 [19]
2 years ago
10

How long does it take an airplane flying at a speed of 600 miles per hour to fly 3,000 miles?

Mathematics
1 answer:
ser-zykov [4K]2 years ago
7 0

Answer:

<u>Option D is answer.</u>

Step-by-step explanation:

Hi there!

From the question;

Speed (s) = 600 miles/hr

Distance (d) = 3000 miles

Time (t) = ?

We know that;

Speed (s) = \frac{Distance(d)}{Time (t)}

600 = \frac{3000}{t}

t = \frac{3000}{600}

Therefore, it will take 5 hours to fly 3000 miles.

Hope its helps!

You might be interested in
It takes 9 builders 54 days to complete a house.
Dima020 [189]

It would take 6 builders  36 days to complete the same house.

<h3>Who are builders?</h3>

Builders are those person whose job is to build or repair houses and other buildings.

We have,

9 builders take 54 days to complete a house.

So,

1  builder will take  (\frac{54}{9})  days to complete a house,

In the same way,

6  builder will take  (\frac{54}{9}*6)  days to complete a house,

i.e.

6  builder   =(\frac{54}{9}*6)= 36 days.

Hence, we can say that it would take 6 builders  36 days to complete the same house.

To know more about  builders and work click here

brainly.com/question/16924313

#SPJ2

5 0
1 year ago
Read 2 more answers
Sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0
andreev551 [17]

Recall the angle sum identity for cosine:

cos(<em>x</em> + <em>y</em>) = cos(<em>x</em>) cos(<em>y</em>) - sin(<em>x</em>) sin(<em>y</em>)

cos(<em>x</em> - <em>y</em>) = cos(<em>x</em>) cos(<em>y</em>) + sin(<em>x</em>) sin(<em>y</em>)

==>   sin(<em>x</em>) sin(<em>y</em>) = 1/2 (cos(<em>x</em> - <em>y</em>) - cos(<em>x</em> + <em>y</em>))

Then rewrite the equation as

sin(4<em>x</em>) sin(5<em>x</em>) + sin(4<em>x</em>) sin(3<em>x</em>) - sin(2<em>x</em>) sin(<em>x</em>) = 0

1/2 (cos(-<em>x</em>) - cos(9<em>x</em>)) + 1/2 (cos(<em>x</em>) - cos(7<em>x</em>)) - 1/2 (cos(<em>x</em>) - cos(3<em>x</em>)) = 0

1/2 (cos(9<em>x</em>) - cos(<em>x</em>)) + 1/2 (cos(7<em>x</em>) - cos(3<em>x</em>)) = 0

sin(5<em>x</em>) sin(-4<em>x</em>) + sin(5<em>x</em>) sin(-2<em>x</em>) = 0

-sin(5<em>x</em>) (sin(4<em>x</em>) + sin(2<em>x</em>)) = 0

sin(5<em>x</em>) (sin(4<em>x</em>) + sin(2<em>x</em>)) = 0

Recall the double angle identity for sine:

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Rewrite the equation again as

sin(5<em>x</em>) (2 sin(2<em>x</em>) cos(2<em>x</em>) + sin(2<em>x</em>)) = 0

sin(5<em>x</em>) sin(2<em>x</em>) (2 cos(2<em>x</em>) + 1) = 0

sin(5<em>x</em>) = 0   <u>or</u>   sin(2<em>x</em>) = 0   <u>or</u>   2 cos(2<em>x</em>) + 1 = 0

sin(5<em>x</em>) = 0   <u>or</u>   sin(2<em>x</em>) = 0   <u>or</u>   cos(2<em>x</em>) = -1/2

sin(5<em>x</em>) = 0   ==>   5<em>x</em> = arcsin(0) + 2<em>nπ</em>   <u>or</u>   5<em>x</em> = arcsin(0) + <em>π</em> + 2<em>nπ</em>

… … … … …   ==>   5<em>x</em> = 2<em>nπ</em>   <u>or</u>   5<em>x</em> = (2<em>n</em> + 1)<em>π</em>

… … … … …   ==>   <em>x</em> = 2<em>nπ</em>/5   <u>or</u>   <em>x</em> = (2<em>n</em> + 1)<em>π</em>/5

sin(2<em>x</em>) = 0   ==>   2<em>x</em> = arcsin(0) + 2<em>nπ</em>   <u>or</u>   2<em>x</em> = arcsin(0) + <em>π</em> + 2<em>nπ</em>

… … … … …   ==>   2<em>x</em> = 2<em>nπ</em>   <u>or</u>   2<em>x</em> = (2<em>n</em> + 1)<em>π</em>

… … … … …   ==>   <em>x</em> = <em>nπ</em>   <u>or</u>   <em>x</em> = (2<em>n</em> + 1)<em>π</em>/2

cos(2<em>x</em>) = -1/2   ==>   2<em>x</em> = arccos(-1/2) + 2<em>nπ</em>   <u>or</u>   2<em>x</em> = -arccos(-1/2) + 2<em>nπ</em>

… … … … … …    ==>   2<em>x</em> = 2<em>π</em>/3 + 2<em>nπ</em>   <u>or</u>   2<em>x</em> = -2<em>π</em>/3 + 2<em>nπ</em>

… … … … … …    ==>   <em>x</em> = <em>π</em>/3 + <em>nπ</em>   <u>or</u>   <em>x</em> = -<em>π</em>/3 + <em>nπ</em>

<em />

(where <em>n</em> is any integer)

5 0
3 years ago
a can contain 15/16 pound of vegetables . one serving of these vegetables weights 1/4 pound . whats is the total number of servi
Elodia [21]
1/4=4/16 so the can has 3 servings and a some leftovers that are smaller than a serving. I think the answer is 3.
5 0
3 years ago
A. In a school year the ratio of boys to girls is 3:4. If there are 372 boys, how many girls are there
natima [27]

Answer:

a. 496 girls

b. 110 boys

Step-by-step explanation:

a. 3:4 ------- divide 372 by 3 and you get 124 now multiply that by 4 and you get 496

b. 2:5 -------- divide 275 by 5 and you get 55 now multiply that by 2 and you get 110

7 0
3 years ago
10 men and 5 women are meeting in a conference room. Four people are chosen at random from the 15 to form a committee. (a) What
nata0808 [166]

Answer:

Step-by-step explanation:

Given

There are 10 men and 5 women in a conference room

total People=15

(a)Probability that the committee consists of 2 men and 2 women

we have to select from 10 men and 5 women

P=\frac{^5C_2\times ^{10}C_2}{^{15}C_4}

(b)Bob and Jane end up on the same committee

as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person

P=\frac{^{13}C_2}{^{15}C_4}

(c)Bob is in the committee but Jane is not

9 men and 4 women left to choose other 3 person

P=\frac{^{13}C_3}{^{15C_4}}

7 0
3 years ago
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