Answer:
122.30 cm²
Step-by-step explanation:
The figure is a triangular prism.
Formula for calculating surface area of a triangular prism = bh + L(S1 + S2 + S3)
Where,
b = 11 cm
h = 4.3 cm
S1 = 8 cm
S2 = 6 cm
S3 = 11 cm
L = 3 cm
Surface area = 11*4.3 + 3(8 + 6 + 11)
= 47.3 + 3(25)
= 122.3 cm²
Answer:
Let x = # of commercials
y = # of movies
<u>System of Equations:</u>
x + y = 90
40x + 110y = 500
Step-by-step explanation:
We have to set our variables before we start solving. After setting the variables, we can set up the equations. If x = # of commercials and y = # of movies, then we can assume x + y = 90, as there have been a total of 90 commercials and movies played altogether. Then, we know that their worth is $500, so the price of all the commercials played and the price of all the movies played (which is 40x + 110y) sum to $500.
Answer:
yes it exists.and answer is 5.
Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
