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blagie [28]
2 years ago
9

A flagpole is 12 feet tall. Its shadow is 14 ft long. How far is it from the top of the

Mathematics
1 answer:
Kisachek [45]2 years ago
3 0

Answer:

Step-by-step explanation:

AC = length of flagpole = 12 ft

AB = length of shadow = 14 ft

BC = length from the top of the flagpole to the end of the shadow = x ft

Use Pythagorean theorem to find the length of x,

x² = AC² + BC²

   = 12² + 14²

  = 144 + 196

  = 340

x = √340

x = 18.4 ft

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The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?
Bess [88]

Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14.  But this does not tell us how many dimes nor how many quarters we have.  Instead, it's a ratio.  Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes        2n

----------------------------- = -----

Number of quarters     14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes).  Notice how the total of 42 and 6 is 48.

7 0
3 years ago
If your income is $1240
Sedaia [141]

Answer: 9/20 for rent = $558

1/2 for food implies= $620

Step-by-step explanation:

9/20 ×$1240= $558

While

1/2 ×$1240= $620

8 0
3 years ago
Below are two parallel lines with a third line intersecting them.<br> I need help solving for x
kvv77 [185]

Answer:

its a 50 degree angle i think.

Step-by-step explanation:

its a smaller size in scale of the bigger one.

6 0
3 years ago
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I WILL GIVE BRAINLIEST!
Illusion [34]

Answer:

24 ft cubed

Step-by-step explanation:

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Looking at the diagram, we can see that the length is 2 ft (so l = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:

V=lwh

V=2*4*3=24

Thus, the answer is 24 ft cubed.

Hope this helps!

7 0
3 years ago
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Naya [18.7K]
Xy=30
x=6/11
6/11y=30
Divide by 6/11 on both sides
y=55
5 0
3 years ago
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