Answer:
7.3 ft
Step-by-step explanation:
The information given represents a right angle triangle with the following:
reference angle = 52°
Adjacent side length = 5.7 ft.
Opposite side length = height of the statue = h
Applying the trigonometric ratio formula, we would have:
Multiply both sides by 5.7
(nearest tenth)
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
Answer:
141
Step-by-step explanation:
Area of a trapezium = 
(a + b)
h = height
a and b = upper and and lower lengths
Area of a trapezium = 
(10 + 16)
= × 26
= 117
Area of a triangle = 
× base × height
= × 6 × 8
= × 48
= 24
Total area = Sum of the areas of both the shapes
= 117 + 24
= 141
Answer: Fish A: 9 inches ; Fish B: 6 inches
Step-by-step explanation:
This can be turned into a systems of equation, where x equals the length of fish A and y equals the length of fish B:
3x + 2y = 39 → -3x - 2y = -39
3x + 4y = 51 → 3x +4y = 51
Combine: 0 + 2y = 12 → y = 6 inches.
Plug back in: 3x + 2(6) = 39 → 3x = 27 → x = 9 inches.
