Ask question

Ask question

All categories

2 years ago

9

A triangle has sides aequals=55 and bequals=44 and angle cequals=60degrees°. find the length of side

1 answer:

Alexxx [7]2 years ago

7 0

The Law of Cosines is used for this purpose.
c² = a² + b² - 2ab·cos(C)
c² = 5² + 4² - 2·5·4·cos(60°)
c² = 25 + 16 - 20 = 21
c = √21

The length of side c is √21 ≈ 4.583.

_____
If you really intend the side lengths to be 55 and 44, your result is c≈50.408, the above value times 11.

You might be interested in

What two numbers multiply to 6 but add up to -1?

Artyom0805 [142]

Answer:

-3 and 2

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Helppppppp pllzzzzzzz

torisob [31]

I can't answer this because I don't know what she was starting with

5 0

3 years ago

Which espression is equivalent to 7^(-2)*7^(6)

valina [46]

Answer: it’s A and D

Step-by-step explanation:

8 0

2 years ago

Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?

Cerrena [4.2K]

A____________________

3 0

2 years ago

una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la

seropon [69]

Answer:

The formula for calculating the width of the window is

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

$P=2(l+w)$

we have

$P=6\ m$

so

$6=2(l+w)$

simplify

$3=(l+w)$

isolate the variable l

$l=3-w$ ----> equation A

The area of the window is equal to

$A=lw$

we have

$A=2\ m^2$

so

$2=lw$ ----> equation B

substitute equation A in equation B

$2=(3-w)w$

solve for w

$2=3w-w^2$

$w^2-3w+2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$w^2-3w+2=0$

so

$a=1\\b=-3\\c=2$

substitute in the formula

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$ ---> formula for calculating the width of the window

$w=\frac{3(+/-)\sqrt{1}} {2}$

$w=\frac{3(+/-)1} {2}$

$w=\frac{3(+)1} {2}=2\ m$

$w=\frac{3(-)1} {2}=1\ m$

7 0

3 years ago