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cricket20 [7]
3 years ago
15

Find the length of each leg. Leave answer in simplest radical form.

Mathematics
1 answer:
arlik [135]3 years ago
5 0

Answer:

  8√2

Step-by-step explanation:

The hypotenuse of a right triangle is √2 times the leg length, so you have ...

  x\sqrt{2}=16

Dividing by the coefficient of x gives ...

  x=\dfrac{16}{\sqrt{2}}=\dfrac{16\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}=8\sqrt{2}

Each leg has length 8√2.

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The diameter of a semicircle is 2 feet. What is the semicircle's perimeter?
Mice21 [21]

Answer:

11/7 feet

Step-by-step explanation:

the perimeter of a circle is πr²

and a semi circle is half of a circle then the formula would be 1/2 πr²

1/2×22/7×1 (it is 1 because we have divided the diameter to get radius

so we derived at 11/7

6 0
2 years ago
If f(x) = 4x + 2, what is the value of f(3)? <br><br> O 8<br> O 14<br> O 45<br> O 66
lutik1710 [3]

Answer:

14

Step-by-step explanation:

5 0
3 years ago
Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie’s drawing is 3
timurjin [86]

Answer:

  • <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>

Explanation:

Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.

The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:

  • length of the drawing / width of the drawing = length of the field / width of the field

Thus, using x for the unknown width of the drawing:

  • 30 cm / x = 120 yard / 80 yard

Thus, you must solve for x:

  • 30 cm × 80 yard = 120 yard × x

  • x = 30 cm × 80 yard / 120 yard = 20 cm.

Hence, the field in Lexie's drawing should be 20 cm long.

4 0
3 years ago
Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of
Anon25 [30]
The answer is 66% because you divide 5.28 divided by 8
7 0
3 years ago
The expression below is the factorization of what trinomial?
Lapatulllka [165]
The answer is:  [A]:   45x² + 81x + 36 .
_________________________

Explanation:  Use "FOIL" technique: (First, Outer, Inner, and Last Terms); 
                       then, combine the "like terms", to simplify. 
__________________________________________

(5x+4)(9x+9) = 45x² + 45x + 36x + 35 = 45x² + 81x + 36 .
                                                                       (which is answer choice: "A".).
________________________________________________
6 0
3 years ago
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