Answer:
Area A = 12 = 1/2 × x × (5x-2)
5x^2 - 2x -24 = 0
Solution;
Base x = 2.4
Height h = 10 ft
Step-by-step explanation:
Given;
base of the triangle is x feet;
Base = x
The height of a triangle is 2 less than 5 times it's base;
Height = 5x - 2
the area of the triangle is 12 square feet;
Area A = 12 ft^2
The area of a triangle is;
Area A = 1/2 × base × height
Substituting the base and height;;
Area A = 1/2 × x × (5x-2)
Area A = 1/2 × (5x^2 - 2x)
Area A = 12
12 = 1/2 × (5x^2 - 2x)
Multiply through by 2.
24 = (5x^2 - 2x)
5x^2 - 2x -24 = 0
Solving the simultaneous equation;
x = 2.4 or -2
Since the base cannot be negative;
x = 2.4 ft
Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft
Base x = 2.4
Height h = 10 ft
Answer:
C
Step-by-step explanation:
Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...
15.3 rounds to 15
7.9 rounds to 8
7.4 rounds to 7
So, his answer is reasonable.
The answer is $132,000
First you multiply 120,000 by .10 which you get 12,000
Then you just add it and you find the answer
In order to solve this problem, you need to use a geometric series:
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>
= 219783.60 $
Luke's total earnings in five years are
<span>
219783.60 $.</span>
</span>
Answer:
B 7feet
Step-by-step explanation:
Side a = 24
Side b = 25
Side c = 7
Angle ∠A = 73.74° = 73°44'23" = 1.287 rad
Angle ∠B = 90° = 1.5708 rad = π/2
Angle ∠C = 16.26° = 16°15'37" = 0.28379 rad
C=16.26°B=90°A=73.74°b=25a=24c=7
Area = 84
Perimeter p = 56
Semiperimeter s = 28
Height ha = 7
Height hb = 6.72
Height hc = 24
