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Mice21 [21]
3 years ago
14

A drawing of a tree and a wall are in the image below.

Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

<em>Choice B. 16 feet.</em>

<em>The height of the tree is 16 ft</em>

Step-by-step explanation:

<u>Similar Triangles</u>

Similar triangles have their corresponding side lengths proportional by a fixed scale factor.

We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.

Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.

Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.

Choice B. 16 feet

The height of the tree is 16 ft

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Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 a
Oduvanchick [21]

Answer:

30 u^{2}

Step-by-step explanation:

The computation of the area of kite ABCD is shown below:

Given data

AC = 10 ;

BD = 6

As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal

Now the area of quadrilateral when the diagonals are given

So, it is

\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}

where,

d_{1}=10\ and\ d_{2}=6

So, the area of the quadrilateral is

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4 0
3 years ago
Perform the indicated operations and chose the correct answer from the listed options.
ehidna [41]

Answer:

The correct answer is option C.  3

Step-by-step explanation:

It is given an expression in variable x

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

<u>To find the simplified answer</u>

x² + 3x² = x(x + 3)

x² - 9 = (x + 3)(x - 3)

The given expression can be written as,

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

 = x(x + 3)/(x + 1) * 3(x + 1)/(x + 1)(x - 1) * (x -3)/x

 =[ x(x +3) * 3(x +1) *  (x -3)]/[(x + 1) * (x + 3)(x - 3) *x]

 = 3

The correct answer is option C.  3

3 0
3 years ago
3/5 of Jill's 30-page photo album is full. She wants to set aside 1/4 of the pages that are left for photos of her vacation. How
Mumz [18]
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she wants to set aside 1/4 of the remaining pages...
1/4 of 12 = 1/4(12) = 12/4 = 3 pgs set aside for vacation

12 - 3 = 9 pgs...she can fill 9 pgs before the vacation
3 0
3 years ago
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USPshnik [31]

Answer:

Detailed solution is given below in the attached image

5 0
2 years ago
How do you find the volume, in cubic inches of a prism?
Margaret [11]

Answer: V= Area of the base x the height


Step-by-step explanation:

Assuming the measurements of the sides are already in inches, say the area of the base ends up being 14in and the height of the prism is 5in, multiply those numbers and your answer would be 70 inches cubed.

5 0
2 years ago
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