If you want to find the product it would be 6x^2-7xy^2+y^4
Answer:
6.32 feets
Step-by-step explanation:
Given that:
Height of ramp = 2 feets
Length of base = 6 feets
Length of ramp = l
Using Pythagoras rule :
Hypotenus = sqrt(opposite² + adjacent²)
Length of ramp = sqrt(height of ramp² + length of base²)
l = sqrt(2² + 6²)
l = sqrt(4 + 36)
l = sqrt(40)
l = 6.3245
Length of ramp = 6.32 feets
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
Answer:
y(t) = 494 (1.03)^t
y(10) = 663,89
Step-by-step explanation:
An increase in population by 3% each year means that at the end of each year, the population is 1.03 times what it was at the start of the year
This increase in population continues for t years
Exponential growth model that represents the population y (in thousands) t years after the beginning of the decade is
y(t) = 494 (1.03)^t
Where,
y = population
t = number of years
Find y when t = 10
y(t) = 494 (1.03)^t
y(10) = 494 (1.03)^10
= 494 ( 1.3439)
= 663.8866
Approximately y(10) = 663.89
This means that after 10 years from when the population was 494,000, it increased to 663,89.
Answer: (7x + 1)(x + 7)
Step-by-step explanation:
