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3 years ago

Rectangle abcd is similar to rectangle pqrs given that ab =14cm bc =8cm and pq=12cm calculate the length of qr

Mathematics

1 answer:

ohaa [14]3 years ago

7 0

Answer: 6.8571 (Round as needed)

Hope this is correct

Step-by-step explanation:

This is a simple ratio problem

Using the similarity statement we can say 14:12, (ab:pq)

That is our ratio.

So we do 14/12 = 8/x, we solve this using algebra to get our answer.

Hope this is correct.

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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

3 years ago

PLZZZZ HELPPPPPPP!!!!

Vladimir79 [104]

Answer: The height of the building is 50.75 feet.

Step-by-step explanation:

The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.

For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.

The ratio will be: 5.8ft/3.2ft = 1.8125

Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:

H/28ft = 1.8125

Now we can solve this for H.

H = 1.8125*28ft = 50.75 ft

Then the height of the building is 50.75 feet.

3 0

3 years ago

What is the percent of change if 18 is increased to 45? Round your answer to the

lubasha [3.4K]

Answer:

150%

Step-by-step explanation:

% change = change/original x 100

45-18 = 27

27/18 x 100 = 150

6 0

3 years ago

Sadie decorated her prize horse with ribbons for the Memorial Day Parade. In the mane, she used 6 feet of ribbon. She used an ad

lidiya [134]

Sadie used 80 inches altogether

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4 years ago

Three times the difference of a number and nine.

Nikitich [7]

Answer:

3*x-9

Difference means subtraction and times means multiplication!

6 0

3 years ago