Answer:
one solution: (2.5, 0)
Step-by-step explanation:
Given the following system of equations;
y = 2x - 5
-8x - 4y = -20
To find the solution to the equations, we would use the substitution method;
Substituting eqn 1 into eqn 2, we have;
-8x - 4(2x - 5) = -20
-8x - 8x + 20 = -20
-16x + 20 = -20
-16x = -40
x = 40/16
x = 2.5
Next, we would determine the value of y;
y = 2x - 5
y = 2(2.5) - 5
y = 5 - 5
y = 0
Isn’t it a 90 degree angle
Answer:
1090 in²
Step-by-step explanation:
The surface area of the two cube = 7x7x6 + 13x13x6 = 1308 in²
But noted that there are overlapping of the two cubes, thus we need to minus 7x7 in² from the answer. Also, we need to minus 13x13 from the answer as the bottom face of the larger prism do not require staining.
∴The required surface area is 1090 in²
Answer:
0.88m²
Step-by-step explanation:
Area of a trapezium = 1/2(a+b)h
a and b are the parallel sides
h is the height
Given
a = 1m
b = 1.2m
h = 0.8m
Substitute
Area of the trapezium = 1/2(1+1.2)(0.8)
Area of the trapezium = 1/2(2.2)(0.8)
Area of the trapezium = 1.1 * 0.8
Area of the trapezium = 0.88m²
Answer:
A person standing on the bank of the river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60
∘
.When he was 40m away from the bank he finds that the angle of elevation to be 30
∘
.Find
(i) the height of the tree.
(ii)the width of the river,correct to 2d.p