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Harman [31]
3 years ago
14

PLEASE HELP 30 POINTS

Mathematics
1 answer:
Mila [183]3 years ago
7 0
I haven’t really learned this but I think it’s the second one! :)
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Can someone help me? you might get a crown
Step2247 [10]

Answer:

2.1 mph

Step-by-step explanation:

7 0
3 years ago
Given amn 45 and abc 45 the triangles are similar by
Sever21 [200]

Answer:

JUST DOING THIS FOR POINTS

Step-by-step explanation:

LOL

8 0
3 years ago
The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

Given:

Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

To find:

The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

Lets first create equation using given  perimeter

perimeter of rectangle = 2 ( length +  width )

=> 30.8 km = 2 ( x + y )  

=>x + y = \frac{30.8}{2}

=> y = 15.4 – x             ------(1)

As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,  

=> length^2 + width^2 = diagonal^2

=> x^2 + y^2 = 11^2

=> x^2 + y^2 = 121

On substituting value of y from (1) in above equation we get

=> x^2 + (15.4-x)^2 = 121

=>x^2 + (15.4)^2 + x^2 – 2 x 15.4 \times x   = 121

=> 2x^2-30.8x + 237.16 -121  = 0

=> 2x^2-30.8x + 116.16 = 0

Solving above quadratic equation using quadratic formula

General form of quadratic equation is  

ax^2 +bx +c = 0

And quadratic formula for getting roots of quadratic equation is  

x= \frac{ -b\pm\sqrt{(b^2-4ac)}}{2a}

As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{(30.8\pm29.33)}4

x=\frac{(30.8+29.33)}{4}

x=\frac{(30.8-29.33)}{4}

=> x = 15.0325 or x = 0.3675

As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

6 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
ioda

Answer:  The first option with sss as part of the proof

Step-by-step explanation:

The lengths of the arcs drawn in the constructions are the same, so when the line is drawn, the lengths of the sides will all be the same.  SSS is proof of congruence.

CPCTC is an acronym for "corresponding parts of congruent triangles are congruent."

7 0
3 years ago
Read 2 more answers
What is the inverse of f(x) = -5x - 8?​
grin007 [14]

Answer:

y=-1/5x-9/5

Step-by-step explanation:

y=-5x-9

x=-5y-9

-5y=x+9

y=-1/5x+9/-5

y=-1/5x-9/5

8 0
3 years ago
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