Answer:
Step-by-step explanation:
According to the trigonometric ratios in aright triangle :
Given: ΔBCA ~ ΔSTR
Since , corresponding angles of two similar triangles are equal.
So, ∠C = ∠T ...(i) [Middle letter]
In triangle STR
...(ii)
From (i) and (ii), we have
Answer: option c
length = 9m
Perimeter = 26.4m
Step-by-step explanation:
A rectangle has a width of 4.2 m and an area of 37.8 m^2
We want yo determine the length of the rectangle and the perimeter of the rectangle.
The perimeter of the rectangle is the distance round the shape. Let the width of the triangle be w.
The perimeter of the rectangle would be expressed as Length + width + length + width. This becomes
2(length +width). So the perimeter of the given rectangle is
2(length + 4.2) but the area is given as 37.8 m^2. Area of a rectangle is length × width. It becomes
37.8= length × 4.2
Length = 37.8/4.2 = 9m
Therefore, the perimeter is
2(length + 4.2) = 2(9+4.2)
Perimeter = 2× 13.2 = 26.4m
Answer:
(- 3, 5 )
Step-by-step explanation:
Given the 2 equations
y = - x + 2 → (1)
y = - 2x - 1 → (2)
Using substitution method.
Substitute y = - x + 2 into (2)
- x + 2 = - 2x - 1 ( add 2x to both sides )
x + 2 = - 1 ( subtract 2 from both sides )
x = - 3
Substitute x = - 3 into (1)
y = - (- 3) + 2 = 3 + 2 = 5
Solution is (- 3, 5 )
Answer: 5,14 and -2
Step-by-step explanation:
The coefficient is the number next to the variable.
So this case the coefficients are 5,14 and -2
