Answer:
85 cm²
Step-by-step explanation:
The base is a square with side length 5 cm. The area of this base is
A = s² = (5 cm)² = 25 cm².
If the slant height of each lateral face of the pyramid is 6 cm, then we can find the area of each such face using the area-of-a-triangle formula,
A = (1/2)(base)(height), which here is
A = (1/2)(5 cm)(6 cm) = 15 cm² per lateral side.
The total area of these sides is 4(15 cm²) = 60 cm².
Then the total surface area of the pyramid is A = 60 cm² + 25 cm² = 85 cm².
Answer:
The numbers are 12 and 36
Step-by-step explanation:
x + y = 48
x - y = 24
Add y to both sides of the equation
x = 24 + y
Substitute new value for x into first equation
24 + y + y = 48
Add y's together
24 + 2y = 48
Subtract 24 from both sides of the equation
2y = 24
Divide both sides of the equation by 2
y = 12
48 - 12 = 36
The numbers are 12 and 36
Hope this helps :)
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
Answer:
21x-28
Step-by-step explanation:
Distribute
7(3x-4)
7*3x=21x
7*-4=-28
Answer:
There are 21 twenties and 8 fifties in the drawer.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of twenties
y is the number of fifties.
A cash drawer contains 29 bills.
This means that x + y = 29.
The total value of the bills is $820.
This means that 20x + 50y = 820.
So
x + y = 29
20x + 50y = 820
From the first equation, x = 29 - y. So:
20x + 50y = 820
20(29 - y) + 50y = 820
580 - 20y + 50y = 820
30y = 240
y = 8
And
x = 29 - y = 29 - 8 = 21
There are 21 twenties and 8 fifties.
