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Wewaii [24]
3 years ago
11

An​ alligator's tail​ length, T, varies directly as its body​ length, B. An alligator with a body length of 4.5 feet has a tail

length of 3.5 feet. What is the tail length of an alligator whose body length is 5.4 ​feet? decorative image
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0
If and only if it is a proportional relationship, the problem can be solved by creating a proportion of B1/T1=B2/T2. This can also be expressed as 4.5/3.5=5.4/x given the values. You must cross multiply, so 4.5x=3.5(5.4). This simplifies to x=4.2. So, the tail length would be 4.2 feet.

Hope this helps.
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What is the result of 8 2/8 - 6 5/8
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8 0
3 years ago
Read 2 more answers
A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the neare
madam [21]

Answer:

4.15^0.

Step-by-step explanation:

Given,

Leaning Tower of Pisa is shifted, P = 13.5 ft

Height of Leaning Tower of Pisa, B = 186 ft

Now, degree of tilt of the tower from vertical

\tan \theta = \dfrac{P}{B}

\tan \theta = \dfrac{13.5}{186}

\tan \theta = 0.0725

\theta = 4.15^\circ

Hence, angle of tilt is equal to 4.15^0.

4 0
3 years ago
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zhuklara [117]
<h3>Answer:  x = 25</h3>

===================================================

Work Shown:

We'll use the pythagorean theorem

a^2 + b^2 = c^2

7^2 + 24^2 = x^2

49 + 576 = x^2

625 = x^2

x^2 = 625

x = sqrt(625)

x = 25

The hypotenuse is 25 units long.

Note: the value of c is always the hypotenuse, while the order of 'a' and b doesn't matter.

6 0
3 years ago
What is the percent of increase for 20 to 36?
Rus_ich [418]

(new -original)/original * 100

(36-20)/20 * 100

16/20 * 100

.8*100

80

80% increase

7 0
3 years ago
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Aleysha is painting one of her bedroom walls blue. On Monday, she painted 3 of the 4 walls, but decided she didn't like the colo
kogti [31]

Hey there,

In order to solve this equation we are going to subtract 2/3 by 3/4.

To add or subtract fractions we need to make sure that they have a common denominator:

  • 2/3 and 3/4 (common denominator would be 12) so 8/12 and 9/12

Now that the denominators are the same we can subtract the two fractions:

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That means that 1/12th of the wall still needs to be done.

Therefore 8/12 of the wall had been painted green at the end of Tuesday.

Hope I helped,

Amna

7 0
3 years ago
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