Answer:
The surface area of the triangular prism is 84 square centimeters.
Step-by-step explanation:
The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.
Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.
But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:
The two congruent triangular bases:
1/2 x 4 x 3 = 6 cm^2
6 x 2 = 12 cm^2
Lateral bottom rectangular face:
6 x 3 = 18 cm^2
Lateral to the right rectangular face:
5 x 6 = 30 cm^2
Lateral to the left rectangular face:
4 x 6 = 24 cm^2
Add up all the values:
12 + 18 + 30 + 24 = 84
The SA is 84 square centimeters
Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
Answer:
a=0.1
Step-by-step explanation:
From the given frequency table, Fiction= Poetry+Prose=total
⇒0.2+0.8=1.0=total
And, Poetry+prose= total
⇒0.18+0.82=1.0= total
Thus, following the same path,we have
Non Fiction= Poetry+prose=Total
⇒a+0.9=1.0
⇒a=1.0-0.9
⇒a=0.1
Therefore, the value of a will be: 0.1
<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>
The initial fee charged by the electric company is; C = $10
To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.
y = mx + c.
- where m = slope of the relation.
- and c = <em>intercept = the initial fee charged by the electric company</em>.
- y = <em>Monthly charge at each time</em>.
To find the slope;
By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).
Therefore, m = 0.12 , y = 82 and X = 600;
we then have;
Therefore, the initial fee charged by the electric company is; C = $10.
Read more:
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