A = 900
The area of a parallelogram can be found by taking its base (b) and multiplying by the height (h). The base has the measure of 33 +12 = 45 cm. Now, you just need to find the height of the parallelogram. The height can be found by using the pythagorean theorem (

.
So, when simplified the height of the parallelogram will be found from

The height is 20 cm. The base is 45 cm. 45 x 20 = 900.
Answer: 475 adults paid admission
Step-by-step explanation:
1.50c+4a=5050 (1.50 per child and 4 per adult)
1.50(2100)+4c=5050 (2100 children times 1.5 each)
3130+4a=5050
4a=1900
a=475
Answer: 70 meters.
Step-by-step explanation:
Observe the figure attached.
The distance between the walls is:

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Both triangles are right triangles. Therefore, you can calculate the distance between the walls as following:
- Calculate the distance AD:

- Calculate the distance AE:

Therefore the distance between the walls is:

Answer:
2-sqrt14/2, 2+sqrt13/2.
Step-by-step explanation:
What you do is you have to do the quadratic equation like it says in the problem.
x= −b± sqrtb^2 −4ac
/2a
.
a=-2, b=4, c=5.
x=-4±sqrt(4)^2-4(-2)(5)/2(-2).
x=-4±sqrt16+40/-4.
x=-4±2sqrt14/-2.
2-sqrt14/2, 2+sqrt13/2. is your answer once you have done everything.