The surface area of the triangular prism is of 140 cm².
<h3>What is the surface area of a prism?</h3>
It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:
- One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
- Two right triangles with sides 4 cm and 5 cm.
For a rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 15 = 120 cm²
For each right triangle, the area is given by half the multiplication of the sides, hence:
At = 2 x 0.5 x 4 x 5 = 20 cm².
Then the surface area of the prism is:
S = 120 cm² + 20 cm² = 140 cm².
More can be learned about surface area at brainly.com/question/28123954
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Answer:
mean is 5
Step-by-step explanation:
<h2>
MEAN</h2>
mean is regarded as the average number of items
<h3>mean formula:</h3>
<em>(sum of terms) / (number of terms)</em>
<h3><u /></h3><h3><u>Firstly</u></h3>
the numbers in the data set are :
3,3,3,4,6,6,7,8
they are already arranged in order, so no need to rearrange.
<h3><u>Next </u></h3>
add the numbers together to find the total :
3 +3 +3 +4 +6+ 6+7 +8
= 40
ALSO,
find how many number of terms they are --- this is 8
Last
use the mean formula to solve :
<em>(sum of terms) / (number of terms)</em>
= 40/8
= 5
<h3><em>
<u>the mean is the 5 </u></em></h3>
Answer:
Domain: all real values of x
Range: all real values of y
Translation depends on the parent function
If the first function was:
y = cuberoot(x)
Then translation is:
Vertical translation 1 unit downwards
3 miles = 5,280 yards
6(250) = 1,500 yards
5,280 - 1,500 = 3,780 yards
7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
