Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40
⇒collect like terms
w × z = -4 + 28i - 40
∵ 
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i
Answer:
You will save 6,500
Explanation:
There are 52 weeks in one year multiply 52 times 125
Answer:
2520°
Step-by-step explanation:
The sum of the angles in any triangle is 180°
shape. sides. triangles. sum int angles.
triangle. 180×1=180°
quad. 180×2=360°
pentagon. 180×3=540°
n-sides. n( n−2) 180(n−2)
16-sides. 180×14=2520°
Answer:
Option B is correct.
The value of x is, 0
Step-by-step explanation:
Given the system of equation:
-x+2y =6 .....[1]
6y =x+18 ......[2]
We can write equation [1] as;
-x = 6-2y or
x = -6 + 2y ......[3]
Substitute equation [3] in [2] we get;
6y =-6 + 2y + 18
or
6y = 2y +12
Subtract 2y from both sides we get;
6y -2y = 2y+ 12 -2y
Simplify:
4y = 12
Divide both sides by 4 we get;
Simplify:
y =3
Substitute the value of y in equation [3] to solve for x;
x = -6 + 2(3)
x = -6 +6 = 0
Therefore, the value of x is, 0
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<u><em>Answer:</em></u>sin (C)
<u><em>Explanation:</em></u><u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>
<span>
cos (theta) = </span>
<span>
tan (theta) = </span>
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<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>
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<u>Second option:</u>5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>
<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.
Hope this helps :)
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