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KATRIN_1 [288]
4 years ago
5

A vertical pole 5 feet long casts a shadow of 2 feet.if at the same time a nearby tree casts a shadow of 10 feet, how tall is th

e tree? Please show work
Mathematics
1 answer:
ohaa [14]4 years ago
7 0
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as

h1/s1 = h2/s2

where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree

Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
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Answer:

B.

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Hannah claims that 3 is not a rational number because it is not written as a ratio of integers. Is she correct? Explain why or w
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3 years ago
Is 6 6/4 6 2/4 in simplest form?
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5 0
3 years ago
Polygon pqrs is a scaled copy of abcd. name the angel in the scaled copy that corresponds to angle abc.
Olin [163]

The angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

We have,

As we can see the attached figure,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image and the image obtained is the scaled copy.

i.e.,

Scale factor = \frac{Change\ in\ size}{Original\ size}

So,

There are two Polygons abcd and pqrs,

And,

Polygon pqrs is the scaled copy of Polygon abcd,

So,

That means both polygons are similar,

so,

Their corresponding angles will be same,

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We can say that angle corresponds to angle abc is angle pqr.

Hence, we can say that the angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

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6 0
2 years ago
Pls can I have help with this question if you know it pls tell me ☝
Andrew [12]
Yearly compound interest is given by the following formula:

A = P(1+r)^t

A is the total amount after the time period elapses. P is the initial amount invested. r is the interest rate in decimal form, and t is the amount of years that elapse.

The interest rate is 1.5%. Divide by 100 to convert into a decimal:

1.5 \div 100 = 0.015

We now have all of our values to plug into the equation:

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12,000(1+0.015)^{2}
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After 2 years, Mary will have 12,362.70 euros in her account.

To find the value of the investment, subtract the original amount from the new amount:

12,362.70 - 12,000 = 362.70

The value of the investment is £362.70.
3 0
4 years ago
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