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vova2212 [387]
3 years ago
9

If a leg of a 45-45-90 triangle is 11 then the hypotenuse is...

Mathematics
2 answers:
Mumz [18]3 years ago
5 0

Answer:

a) 11

Step-by-step explanation:

iragen [17]3 years ago
3 0

Answer:

c)11√2

Step-by-step explanation:

Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;

hypotenuse^2 = 11^2 + 11^2

hypotenuse ^2 = 242

hypotenuse = \sqrt{242}

hypotenuse = 11\sqrt{2}

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natka813 [3]
Every square is a rectangle<span> because it is a quadrilateral with </span>all<span> four angles right angles.</span>
7 0
3 years ago
19. Use the unit circle to find the value of tan 315º.<br> Show work pls.
Free_Kalibri [48]

Answer: -1

Step-by-step explanation:

First change tan(315) to:

\frac{\sin(315)}{\cos(315)}

Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?

-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1

7 0
3 years ago
tim has been offered three jobs. job a paid on an annual basis with a salary of 26,700. job b pays $500 per week. job c pays &am
scZoUnD [109]

Answer:

Job C

Step-by-step explanation:

Since he's paid semi monthly,literally half a month, which is 1125$

Then full month will be 1125×2

Which is 2250

Then annually would be 2250×12=27,000

5 0
3 years ago
The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is
Gnesinka [82]

Answer:

A. 5x^2 − 2x − 24 = 0

Step-by-step explanation:

height = 5b-2

b =x

We can rewrite the height as

h = 5x-2

We know the formula for area of a triangle

A = 1/2 bh

A =1/2 x * (5x-2)

Distributing the x

A=    1/2 (5x^2 - 2x)

We know A =12

12 = 1/2 (5x^2 - 2x)

Multiply each side by 2

12*2 = 2*1/2 (5x^2 - 2x)

24 = 5x^2 - 2x

Subtract 24 from each side

24-24 = 5x^2 - 2x-24

0 = 5x^2 - 2x-24

6 0
3 years ago
To the nearest hundredth, what is the length of line segment AB?
Vesnalui [34]

Answer:

5.83 units

Step-by-step explanation:

See attached picture.  You can use the Pythagorean Theorem.  I added some lines to show the legs of a right triangle.  AB is the hypotenuse.

3^2+5^2=(AB)^2\\\\9+25 = (AB)^2\\\\34=(AB)^2\\\\AB=\sqrt{34} \approx 5.83

5 0
2 years ago
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