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2 years ago

There are 16 circles and 12 squares. What is the simplest ratio of squares to circle

Mathematics

1 answer:

wlad13 [49]2 years ago

8 0

Answer:

4:3

Step-by-step explanation:

divide each by 4

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Two rectangles are similar. The ratio of their corresponding sides is 1:4.

larisa [96]

ratio of perimeter is the same as ratio of sides so perimeter would be 1:4

since area is in square units you need to square the ratio (1:4)^2 which is 1:16

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3 years ago

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2 years ago

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MatroZZZ [7]

Answer:

18 square feet

Step-by-step explanation:

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2 years ago

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Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the

fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance $h$ between the kite and Jacks house, but first we need to find the $x$ , $y$ and then $d$ .

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For $y$ :

$sin(65 \°)=\frac{y}{45 ft}$ (1)

Where $y$ is the opposite side to the angle and $45 ft$ the hypotenuse.

Isolating $y$ :

$y=40.78 ft$ (2)

For $x$ :

$cos(65 \°)=\frac{x}{45 ft}$ (3)

Where $x$ is the adjacent side to the angle.

Isolating $x$ :

$y=19.017 ft$ (4)

Finding $d$ :

$d=x+100 ft$ (5)

$d=19.017 ft +100 ft$

$d=119.017 ft$ (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house $h$ and the sides are the values calculated in (4) and (6).

So, in this case we will use the <u>Pithagorean theorem</u>:

$h^{2}=y^{2} +d^{2}$ (7)