Answer:
2√133
Step-by-step explanation:
a²+b²=c²
8²+12²=c²
c²=208
208+18²=532
√532=23
Let:
x = cost of senior citizen ticket
y = cost of student ticket
4x + 5y = 102
7x + 5y = 126
4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4
7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4
note:
-35y/4 = -8.75y
714/4 = 178.5
-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14
x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8
x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea
Answer: m∠1 = 32°
Step-by-step explanation:
Since we have given that
The angled support making angle with the floor = 32°
So, we need to find the measure of angle 1 so that the steps are parallel to the floor.
As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."
So, m∠1 = 32° ( the angled support making angle with the floor)
Hence, m∠1 = 32°
Answer:
138 cm.
Step-by-step explanation:
So first, we find the S.A. of the front and back.
The diagram says the side length of the front is 3 cm. and 3 cm.
3x3=9. So then, the back is also 9 cm, 9+9=18.
Now to find the S.A.'s of the four sides, you have to see the side lengths of each of them. The side lengths are 3 and 10.
3x10=30. This means each of them is 30 cm.
30x4=120. 120 is the total surface area of the four sides.
To find the total surface area of the whole rectangle, you add all the surface areas.
120+18=138 cm. (Not squared, since it's surface area and not area.)
Answer:
60 degrees
Step-by-step explanation:
A triangle adds up to 180 degrees. 180 divided by 3 is 60. The answer is 60 degrees.
