Answer:
907.46 mm2
Step-by-step explanation:
Area of circle = (¶d^2)/4
d = 34 mm
Therefore
Area A = (3.14 x 34^2)/4
= 907.46 mm2
Answer:
-3.6
Step-by-step explanation:
Simplifying
7 + 3x + 4 = 0
Reorder the terms:
7 + 4 + 3x = 0
Combine like terms: 7 + 4 = 11
11 + 3x = 0
Solving
11 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11
Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11
Combine like terms: 0 + -11 = -11
3x = -11
Divide each side by '3'.
x = -3.666666667
Simplifying
x = -3.666666667
<span>Dr. Graham currently has two acid solutions.
60% acid AND 20% acid </span>
Dr. Graham needs 30 L of a 50% acid solution
We set up 2 equations in which s = 60% acid and t = 20% acid
A) s + t = 30
B) .60s + .20t = (.50 * 30)
We multiply equation A by -.20
A) = -.20s -.20t = -6 then we add it to B)
B) .60s + .20t = 15
.40s = 9
s = 22.5
t = 7.5
So, she needs to mix 22.5 liters of 60% acid with 7.5 liters of 20% acid.
Source:
http://1728.org/mixture.htm
Answer:
Yes
Step-by-step explanation:
Yes , if both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram . The parallelogram has opposite sides equal and parallel . Diagonals bisect each other . The sum of alternate angles is 180° and the opposite angles are equal .
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