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mel-nik [20]
3 years ago
11

The width of a rectangular is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the l

ength of this rectangle in feet? A. 9ft B.17ft C.12.4 D. 13.6
Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

It would be Choice C, 12.4 feet.

Step-by-step explanation:

By using Pythagoras Theorem a² + b² = c²

c²- b²= a²

13²-4²=

169 - 16 = √153

√153 = 12.3693168769

12.3693168769 ≅ 12.4

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Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒125^{2} = 50^{2} + (x)^{2}

⇒15625 = 2500+ (x)^{2}

⇒ 15625 = 2500+ x^{2}

Subtracting both side by 2500

⇒ 13025 = x^{2}

Square rooting both side, we know√a²=a

⇒ \sqrt{13025} =x

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= x-10\ m

⇒ Height of kite flying above tree= 114.127-10= 104.127\ m

Hence, the height of kite above the tree is 104.127 meters.

3 0
4 years ago
Select the correct answer.
aliina [53]

Answer: The third quadrant because it is opposite of the first quadrant


7 0
3 years ago
Decide if each answer will be less than or greater than the original number. Drag each to the correct category
enot [183]

That's a question about percentage.

Let's imagine that we want to know how much is 90% of 200. To do this calculation, we should multiply 200 by 90 and then divide the result by 100. We do that because 90% is the same thing that \frac{90}{100} =0,9. So, 90% of 200 is equal to:

\frac{200\cdot90}{100} =\\\\\frac{18000}{100} =\\\\180

Now, imagine that you would like to know how much is 100% of 999. First, we multiply 999 by 100 and divide the result by 999. So, 100% of a number is equal to itself. That's a very important information, because it's possible to understand this:

  • If the percentage is less than 100%, the result is less than original number.
  • If the percentage is equal to 100%, the result is equal to the original number.
  • If the percentage is greater than 100%, the result is greater than original number.

Now, we can solve our problem! \o/

The options that the percentage is less than 100% are: 35% of 300, 62% of 182 and 89% of 525. Therefore, their answers will be less than the original number.

And, the option that the percentage is greater than 100% are: 250% of 18, 300% of 250 and 120% of 72. So, their answers will be greater than the original number.

On the image, you can see the answer in a table.

I hope I've helped. ^^

Enjoy your studies! \o/

7 0
3 years ago
46 lbs of apples cost $414. How much would 29 lbs cost?
Mariana [72]

You first divide 414 by 46 to see how much it costs for 1 lb. After the calculation, you get 9 lb. Then you multiply that by 29 to get 261.

7 0
4 years ago
BIG POINTS!
nlexa [21]
The volume V of a cone with radius r is one-third the area of the base B times the height h.
so,
 
The answer is 57.3248408
8 0
3 years ago
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