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3 years ago

Find the side of the triangle. Round your result to two decimal places. Can someone help me with this one??

Mathematics

1 answer:

posledela3 years ago

5 0

Answer:

32.14

Step-by-step explanation:

it is a right triangle

so Pythagorean Theory is a^2 + b^2 = c^2

a and b are the legs of the right triangle

c is the hypotenuse

15.3^2 + b^2 = 35.6^2

234.09 + b^2 = 1267.36

1267.36 - 234.09 = 1033.27

1033.27 ^1/2 (square root) = 32.14

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

Solve for x in the triangle above

faust18 [17]

Answer:

x = 30

Step-by-step explanation:

The interior angles of a triangle must always add up to 180.

2x + 2x + 3x - 30 = 180

Add 30 to both sides to seperate variables.

2x + 2x + 3x = 210

Combine like terms.

7x = 210

Divide by 7 to isolate x.

x = 30

8 0

3 years ago

What is the translation shown in the graph?

ASHA 777 [7]

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

4 0

3 years ago

Read 2 more answers

Solve each equation for the indicated variable g=a+c+b,for a

Mariulka [41]

Answer:

a= g-b-c

Step-by-step explanation:

g=a+c+b

g-b=a+c

g-b-c= a

a= g-b-c

3 0

3 years ago

sam thought of a number between ten and twenty then sam gave a clue when you count by twos and when you count by threes but not

tatuchka [14]

Sorry I do not know the answer to that

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3 years ago