Answer:
Length: 430
Width: 100
Step-by-step explanation:
Length : x
Width: x - 330
Area = 43000
Area = length * width
43000 = x (x - 330)
43000 = x² - 330x
x² - 330x - 43000 = 0
x² - 430x + 100x - 43000 = 0 // Doing factorization
x (x - 430) + 100 (x - 430) = 0
(x+100)(x-430) = 0
x + 100 = 0
x = -100 (Since the length can not be negative)
x - 430 = 0
x = 430(This is the length)
Width: x - 330 = 430 - 330 = 100
Proof : 430 * 100 = 43000
Answer:
$14.70
Step-by-step explanation:
191.10/13= 14.70
Answer:
Step-by-step explanation:
100 MINUS 25 PLUS 35
When two straight lines cut each other vertical angles are formed. There are two pair of vertical angles .Vertical opposite angles are always equal .
In the figure Substituting the values of the angles given.
x+40=3x.
Subtracting x both sides.
40=3x-x
40=2x. Dividing both sides by 2.
X=20.
The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
<h3>How to determine the number of years?</h3>
The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
Read more about logarithmic functions at:
brainly.com/question/25953978
