Answer:
A and C.
Step-by-step explanation:
We add the real part and the imaginary part separately.
Adding A and C will give us 10 - 3i:
-3 - 4i + 13 + i
= -3 + 13 - 4i + i
= 10 - 3i.
Answer:
about 252.78 ft
Step-by-step explanation:
Define angle QMP as α. Then ...
MN = 60·sin(α)
NP = 60·cos(α)
area MPN = (1/2)(MN)(NP) = 1800sin(α)cos(α)
__
PQ = 60tan(α)
area MPQ = (1/2)(MP)(PQ) = 1800tan(α)
__
The ratio of areas is 2.5, so we have ...
1800tan(α) = 2.5·1800sin(α)cos(α)
1 = 2.5cos(α)² . . . . . . divide by 1800tan(α)
cos(α) = √0.4 . . . . . . solve for cos(α)
__
Then the perimeter is ...
Perimeter = MN +NP +PQ +QM = 60sin(α) +60cos(α) +60tan(α) +60/cos(α)
= 60(sin(α) +cos(α) +tan(α) +sec(α))
= 60(0.774597 +0.632456 +1.224745 +1.581139)
= 60(4.212936) = 252.776
The perimeter of the trapezoid is about 252.776 feet.
_____
With perhaps a little more trouble, you can find the exact value to be ...
perimeter = (6√10)(7+√6+√15)
Answer:
The answer is y= x -1.
Step-by-step explanation:
here, given that; the slope is 1 and y intercept is 1. so, the formula of equation of a st. line in slope intercept form is y= mx+ c.
so, y= 1×x-1 (putting value of slope as one and y intercept as -1).
therefore, the answer is y= x-1....answer.
<em><u>hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
A = P + I
2a = a + PTR/100
2a = a + 5aT/100
2a = a(1+T/20)
2=1+T/20
T=20 yrs
