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pychu [463]
3 years ago
6

The length of the hypotenuse of a right triangle is 26 in. one leg measures 13 in. find the length of the other leg. round your

answer to two decimal places. leg length
Mathematics
1 answer:
Ghella [55]3 years ago
3 0
Use c^2=a^2+b^2
26^2= 13^2 + b^2
676=169 + b^2 (subtract 169 from both sides)
507= b^2 (take the square root of each side)
22.52 in. =b
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Write the equation of the ellipse with center (4,2), vertex (9,2), and focus (4+2sqrt5,2)
dangina [55]

Answer : option B

Given: center (4,2), vertex (9,2), and focus (4+2sqrt5,2)

The distance between vertex and center is 9-4 = 5

Center is (h,k) so h= 4  and k =2

focus is (h+c,k)

From the given focus (4+2sqrt5,2), c= 2sqrt(5)

Standard form of equation is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1

h= 4, k=2, a=5, c=2sqrt(5), we need to find out b

c^2 = a^2 - b^2

b^2 = a^2 - c^2

b^2 = 5^2 - (2\sqrt{5})^2

b^2 = 25 - 20

b^2 = 5

plug in all the values

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1

\frac{(x-4)^2}{25} + \frac{(y-2)^2}{5}=1

Option B is correct

7 0
3 years ago
Find the area of triangle in square units . Pythagorean theorem.
faltersainse [42]
The area of a triangle is found with 1/2(b x h). 
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A cheetah runs at a speed of 150 kmph. It covers a distance of 750 m in:
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Answer:

Step-by-step explanation:

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Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

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Use FOIL method

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                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

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3 years ago
Triangle DEF is rotated 180 degrees about the origin to form triangle D'E'F'.What are the coordinates of the vertices of triangl
kvv77 [185]

Answer:

D

Step-by-step explanation:

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