Answer:
The answer is "
"
Step-by-step explanation:
When the value of
has the following properties:


Calculating the value of
:
![= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\= 13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\ i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\](https://tex.z-dn.net/?f=%3D%2013%20%5Ctimes%20%5B%20%5Ccos%281.75%20%5Cpi%20%29%20%2B%20i%20%5Csin%281.75%20%5Cpi%29%20%5D%20%5C%5C%5C%5C%3D%20%2013%20%5Ctimes%5B%5Ccos%281.75%20%5Cpi%20-%202%5Cpi%20%29%20%2B%20%5C%20i%20%5Csin%281.75%20%5Cpi%20-%202%5Cpi%20%29%5D%5C%5C%20%5C%5C%3D%2013%20%5Ctimes%20%5B%5Ccos%28-0.25%20%5Cpi%20%29%20%2B%5C%20%20i%20%5Csin%28-0.25%20%5Cpi%29%20%5D%5C%5C%5C%5C%3D%2013%20%5Ctimes%20%5B0.707106781%20-%200.707106781%5D%5C%5C%5C%5C%20%3D9.19%20-%209.19%5C%20i%20%5C%5C%5C%5C)
Answer:
D -- Triangular prism
Step-by-step explanation:
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Answer:
7 inches
Step-by-step explanation:
area of square=l^2
49=l^2
=l
7=l
therefore the sides of a triangle is 7 inches.
Answer:
bus = 43
van 12
Step-by-step explanation:
This can be solved using simultaneous equations
Let v represent the number of students that a van carries
Let b represent the number of students that a bus carries
the following equations can be derived from the question
3v + 2b = 122 eqn 1
5v + 3b = 189 eqn 2
Multiply eqn 1 by 5 and eqn 2 by 3
15v + 10b = 610 eqn 3
15v + 9b = 567 eqn 4
Subtract equation 4 from 3
b = 43
Substitute for b in equation 1
3v + 2(43) = 122
solve for v
v = 12
Step-by-step explanation:
Rate of drop of temperature = Change in temperature/Rate
=> (165 - 135)/15
=> 30/15
=> 2 ⁰F/min
Now, The time at which the temperature of will be 70⁰F = 70/Rate
=> 70/2
=> 35 min
Time for 110⁰ F
=> 110/2
=> 55 min