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gladu [14]
2 years ago
11

15 Points!

Mathematics
2 answers:
garik1379 [7]2 years ago
5 0
Look at the picture.
Use Pythagorean theorem:
r^2=6^2+20^2\\\\r^2=36+400\\\\r^2=436\to r=\sqrt{4\cdot109}\to r=2\sqrt{109}ft.\\\\r\approx20.88\approx20.9ft.

Answer: <span>D) 20.9 ft </span>

NNADVOKAT [17]2 years ago
3 0
Using the Pythagorean Theorem we can solve this:

20^2 + 6^2 = X^2

400 + 36 = x^2

436 = x^2

x = SQRT(436)

x = 20.9 feet long
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Step-by-step explanation:

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aleksandr82 [10.1K]

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At 5.45p.M .,lixin,khairul and Devil are at the starting point of a 1-km circular path. Lixin Takes 18 minutes to walk one round
sweet [91]

Answer:

Meeting\ Time = 6:03\ pm

Step-by-step explanation:

Given

Start\ Time= 5:45pm

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Devi = 4minutes/2\ rounds

Required

Determine their next meeting time

First, we need to get their unit rate in minutes per round

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Convert 360 seconds to minutes

Khairul = \frac{360}{60} min/round

Khairul = 6 min/round

Devi = 4minutes/2\ rounds

Divide by 2/2

Devi = 2mins/round

So, we have:

Lixin = 18\ min/round

Khairul = 6 min/round

Devi = 2mins/round

Next, is to determine the LCM of 18, 6 and 2

18=2 * 3 * 3

6 = 2 * 3

3 = 3

Their LCM is:

LCM = 2 * 3 * 3

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This means that they will meet 18 minutes after their initial time of departure.

So:

Meeting\ Time = 5:45\ pm + 18\ minutes

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3 0
3 years ago
11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.
Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

[tex](\frac{5}{6}) ^2  = \frac{m}{108}[/tex]

⇒\frac{(5)^2}{(6)^2}   = \frac{m}{108}

or, \frac{25}{36}   = \frac{m}{108}  \implies m = \frac{108 \times 25}{36}  = 75

⇒ m = 75

Hence, the area of the smaller triangle is 75.

6 0
3 years ago
Formulating and solving inverse variation functions
andreyandreev [35.5K]

Answer:

See below.

Step-by-step explanation:

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= 2.4.

D.  Checking C:  2.4 = 180/75 = 2.4. Correct

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