Step-by-step explanation:
(a + b)² = 9
(b + c)² = 25
(a + c)² = 81
Taking the square root:
a + b = ±3
b + c = ±5
a + c = ±9
By adding these three equations together and dividing both sides by 2, we get the value of a + b + c.
Possible combinations for a + b + c such that the sum is greater than or equal to 1 are:
a + b + c = (-3 + 5 + 9)/2 = 11/2
a + b + c = (3 − 5 + 9)/2 = 7/2
a + b + c = (3 + 5 + 9)/2 = 17/2
Answer:
(7-4i)+(-2+5i) = 5 + i
Answer = 5 + i
Step-by-step explanation:
Group the real part and the imaginary part of the complex number
( 7 - 4i ) + (-2 + 5i )
= ( 7 - 2 ) + ( -4 + 5 ) i
Refine = 5 + i
Answer:
b. complementary
Step-by-step explanation:
-Complementary angles are angles that add up to 90°.
-These are usually the two acute angles in the right triangle.
#To verify, lets take the two angles 30° and 60°:

#We can reverse as:

Hence, two angles are said to be complimentary if they sum up to 90°.
Answer:
89,709
Step-by-step explanation:
∡Z= 54°
tan 54 = XY / 361
XY = 361 · tan 54°
XY = 497
A = 1/2 (361) (497)
The question asks per week. So 1.5 cups times 7 days is 10.5 cups.
<span>The pipe leaks </span>10.5 cups<span> every week.</span>