Answer:
z = 32/3
Step-by-step explanation:
Presuming all the horizontal lines are parallel, the ratios of lengths will be identical.
3/8 = 4/z
3z = 8(4)
z = 32/3
Answer:
85 i think
Step-by-step explanation:
Answer:
88/7 ft = 12.6 ft (nearest tenth)
Step-by-step explanation:
Circumference of a circle = 2
r
<u>Radius of inner circle</u>
Given:
- circumference of inner circle = 22ft
= 22/7
⇒ 22 = 2 x (22/7) x r
⇒ r = 3.5
So the radius of the inner circle is 3.5 ft
<u>Radius of outer circle</u>
If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5
<u>Circumference of outer circle</u>
Therefore, circumference of outer circle:
= 2 x (22/7) x 5.5
= 242/7 ft
<u>Difference between circumferences</u>
Difference = outer circle circumference - inner circle circumference
= 242/7 - 22
= 88/7 ft
= 12.6 ft (nearest tenth)
Answer:

Step-by-step explanation:
The general form of a quadratic polynomial is given by:
(1)
You have the following polynomial:
(2)
In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:
(3)
By comparing the equation (1) with the equation (2) you obtain:
a = 3
b = -10
c = 8
Then, you replace these values in the equation (3):

Then, the factorization of the polynomial is:

The question supplied is incomplete. The complete question is shown below:
The Gross national product (GNP) is the value of all the goods and services produced in an economy, plus the value of goods and services imported, less the goods and services exported. During the period of 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion. Assuming this rate continues, in what year with the GNP reach $10 billion?
Answer:
2006
Step-by-step explanation:
Every year, the new GNP will become (100 + 4.8)% of that of the previous year. That is 104.8%, and equivalent of 1.048.
Let P(y) be the GNP after a period of y years.
After y years, the equation for calculating A(y) becomes
A(y)=5.9*(1.048)^y
Since A(y) = 10
10=5.9*(1.048)^y
10/5.9 =(1.048)^y
1.695=(1.048)^y
ln(1.695) = ln(1.048)^y
ln(1.695) = y ln1.048
y=ln1.695/ln1.048
y=11.26 years
1994 + 12 = 2006
Canada’s GNP will reach $10 billion in the year 2006