Answer:
x = 2 and y = 
Step-by-step explanation:
To solve this system of equation, we will follow the steps below;
We will use both elimination and substitution method to solve this system of equations
12x−15y=14 ------------------------------------------------------------------------(1)
8x−15y=6 --------------------------------------------------------------------------(2)
subtract equation (2) from equation (1)
(By doing that the y variable will be eliminated)
4x = 8
Divide both-side of the equation by 4
4x/4 = 8/4
x = 2
Substitute x =2 into equation (2) and then solve for y
8x−15y=6
8(2)−15y=6
16 - 15y = 6
subtract 16 from both-side of the equation
16 - 16- 15y = 6-16
-15y = -10
Divide both-side of the equation by -15
-15y/-15 = -10/-15
y =
x = 2 and y =
202 ft^2
The lateral area is the area of all the sides except the base. So you find the area of the triangles (16), then the left rectangle (80), then the right rectangle (90). Finally you add them together.
16+16+80+90=202
200 x 4 =. 800 + remainder 3 = to 803 803 divided by 4 = 200.75
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
