Answer:
e
Step-by-step explanation:
To find the surface area of the triangular prism, you need to find the area of all the sides and add them together. The two triangular bases have already been established to have an area of 3 square units each, so together they have an area of 6 units. Two of the rectangular sides have dimensions of 3.5 by 2.5 units, while one has dimensions 3.5 by 3 units. Adding all of this together, you get a total of 34 square inches, or option e. Hope this helps!
y = x² - 4x + 4
0 = x² - 4x + 4
0 = x² - 2x - 2x + 4
0 = x(x) - x(2) - 2(x) - 2(-2)
0 = x(x - 2) - 2(x - 2)
0 = (x - 2)(x - 2)
0 = (x - 2)²
0 = x - 2
+ 2 + 2
2 = x
(x, y) = (2, 0)
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50
so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)
The margin of error for population proportion is calculated as:
This means 271 students should be included in the sample
To find the GCF, list the prime factors of each number, then multiply the factors that both number have in common. To find the LCD, find the smallest possible integer divisible by both numbers.
Answer:
The answer to your question is 10240 mm³
Step-by-step explanation:
Data
length of the base = 32 mm
length of the height = 34 mm
Formula
Volume of a pyramid = 1/3 x Area of the base x length of the height
Process
1.- Calculate the area of the base
Area = side x side
= 32 x 32
= 1024 mm²
2.- Find the height of the pyramid using the Pythagorean theorem
height² = 34² - 16²
height² = 1156 - 256
height² = 900
height = 30
3.- Calculate the volume of the pyramid
Volume = 1/3Area x height
= 1/3(1024 x 30)
= (30720)/3 mm³
= 10240 mm³
