Surface area of the pyramid= 4*(area of the triangle) + area of the square
Area of the triangle = (1/2)*base*height=(1/2)*5*5= 25/2 in²
Area of the square = 5*5 =25 in²
Surface area of the pyramid = 4*(25/2) + 25=2*25 + 25=75 in²
Answer:
2800
Step-by-step explanation:
solution:
here,
length=40 meter
Breadth=35 meter
height=2meter
area=?
we have,
A=l×b×h
=40×35×2
=2800 ans.
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Let x = months
so we know that price of software package is $20
Now we need to find x the price of one month
we know that Angie and Kenny spent 115 total
Angie: 20 + 3x ( one software pack + 3(price of one month)
Kenny: 20+ 2x ( one software pack + 2( price of one month)
So Angie + Kenny = $ 115
20 + 3y + 20 + 2y = 115
combine like terms and solve for x. That will give you the cost of one month
40 + 5x = 115
-40 -40
5x= 75
5x/5 = 75/5
x=15
This is a 20% increase. If we divvy up the 25 into 5 groups, we can say that each group is 20%. since we added another group of 5, we can go off of our known values and say that this was a 20% increase.