All categories

3 years ago

(05.02 LC) Given triangle ABC, which equation could be used to find the measure of ∠C?

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

Answer:

D. sin m∠C = 2 square root of 5 all over 5

Step-by-step explanation:

The triangle ABC is a right angled triangle. The angle ∠C is where we are asked to find. The side AB measures 6 , AC measures 3 and the side BC measures 3√5.

The longest side of a right angle triangle is the hypotenuse, that means the side with length 3√5 is the hypotenuse.

Therefore side BC is the hypotenuse side and we are asked to find the angle C. AB is the opposite side while AC is the adjacent side.

Using

sin C = opposite/hypotenuse = 6/3√5 = 2/√5 = 2√5/5

cos C = adjacent/hypotenuse = 3/3√5 = 1/√5

You might be interested in

The length of a rectangle is 5m less than three times the width, and the area of the rectangle is 50m^(2). Find the dimensions o

Ilia_Sergeevich [38]

Answer:

The width is 5m and the length is 10m.

Step-by-step explanation:

Rectangle:

Has two dimensions: Width(w) and length(l).

It's area is:

$A = w*l$

The length of a rectangle is 5m less than three times the width

This means that $l = 3w - 5$

The area of the rectangle is 50m^(2)

This means that $A = 50$ . So

$A = w*l$

$50 = w*(3w - 5)$

$3w^{2} - 5w - 50 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3w^{2} - 5w - 50 = 0$

$a = 3, b = -5, c = -50$

$\bigtriangleup = (-5)^{2} - 4*3*(-50) = 625$

$w_{1} = \frac{-(-5) + \sqrt{625}}{2*3} = 5$

$w_{2} = \frac{-(-5) - \sqrt{625}}{2*3} = -3.33$

Dimension must be positive result, so

The width is 5m(in meters because the area is in square meters).

Length:

$l = 3w - 5 = 3*5 - 5 = 10$

The length is 10 meters

6 0

3 years ago

A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate

aivan3 [116]

Could you show us a picture of the question

8 0

3 years ago

the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of c

Nadya [2.5K]

Answer:

125 cups

Step-by-step explanation:

45 is 36% of what number?

45 = 0.36n

n = 45 / 0.36

n = 125

4 0

3 years ago

PLEASE IM BEGGING FOR HELPP

Leya [2.2K]

Answer:

y ≥ 1

Step-by-step explanation:

According to the graph, the y values start at 1 and go to ∞. Therefore, the range of the function is y ≥ 1.

6 0

3 years ago

A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their t

Alecsey [184]

See you add 990 then diced by 54 and then you’ll get your answer

8 0

3 years ago