The base length of the triangle is 10 ft. and the height of the triangle is 20ft.
Step-by-step explanation:
Height = base + 10
Area = 100 square ft
Area of a triangle= (1/2) (b) (h)
100 = (1/2) (b) (b + 10)
200 = b(b) + 10b
b(b) + 10b - 200 = 0
b(b) + 20b - 10b - 200 = 0
b ( b + 20) -10(b + 20) = 0
(b-10) (b+20) =0
b = 10 (or) b = -20
Here b is the length and cannot be negative.
So, b = 10ft
h = b + 10
h = 10 + 10
h = 20 ft.
The base length of the triangle is 10 ft. and the height of the triangle is 20ft.
The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side
Answer:
Step-by-step explanation:
8²p=8^4
64p=4096
p=64
p could also equal 2
8^2x2=8^4
Answer:
6
Step-by-step explanation:
(g × f)(x) = g(x) × f(x) = x²(- x + 5)
To evaluate (g × f)(- 1) substitute x = - 1 into the product
x²(- x + 5)
= (- 1)²(- (- 1) + 5)
= 1(1 + 5)
= 1 × 6 = 6
Answer: 97% growth rate.
Step-by-step explanation:
Hi, to answer this question we have to analyze exponential function:
A = P (1 + r) t
Where:
p = initial value
r = growth or decay rate (decimal form)
t= number of time intervals
A = value after t intervals
Replacing with the values given:
y=3400(1.97)^x
Where the term 1.97 = 1 + r
Solving for r:
1.97-1 = r
0.97 =r
Since the rate is positive, it is a growth rate.
To determine the percentage we have to multiply it by 100
0.97 x 100 = 97%
Feel free to ask for more if needed or if you did not understand something.
