Answer:
10·b = 60
Step-by-step explanation:
The given system of equation is presented as follows;
5·a + 5·b = 25...(1)
-5·a + 5·b = 35...(2)
Given that the coefficient of a in equation (1) is equal in magnitude but opposite in sign to the coefficient of 'a' in equation (2), to eliminate the variable 'a' when using the elimination method, we add both equations as follows;
5·a + 5·b + (-5·a + 5·b) = 25 + 35 = 60
5·a - 5·a + 5·b + 5·b = 60
5·a - 5·a = 0
5·b + 5·b = 10·b
∴ 5·a - 5·a + 5·b + 5·b = 60 = 0 + 10·b = 10·b
∴ 10·b = 60
Recall the Pythagorean Theorem which says:
a^2 + b^2 = c^2
where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:
5^2 + b^2 = 6^2
25 + b^2 = 36
b^2 = 11
b = √11
Thus the answer is C.
Answer:
it depends
Step-by-step explanation:
<em>Shino's formula will work for any prism</em>.
Angelo's formula will work for any prism whose base area can be found by ...
B = (1/2)ew
<em>Angelo can use this formula for a triangular prism</em>.
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For a triangular prism, both may be correct.
For a prism of another shape, Shino is correct. (Angelo may also be correct, depending on the variable definitions.)
Answer: To find the area of the shaded region
:
Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.
Step-by-step explanation: I cannot see the picture to answer your question but I hope this helps you find put your answer. :)