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sineoko [7]
3 years ago
10

What is the measure of angle p?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

the answer to the question is 67.38

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Step-by-step explanation:

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A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters what is the width of the rectangle
notsponge [240]

Answer:

The width of the rectangle=32 cm

Step-by-step explanation:

We are given that

Perimeter of rectangle, P=116 cm

Length of rectangle, l=26 cm

We have to find the width of the rectangle.

We know that

Perimeter of rectangle, P=2(l+b)

Where l=Length of rectangle

b=Width of rectangle

By using the formula

116=2(26+b)

\frac{116}{2}=26+b

58=26+b

58-26=b

32=b

Hence, the width of the rectangle=32 cm

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3 years ago
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Step-by-step explanation:

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3 years ago
If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5
NNADVOKAT [17]

Answer:

the answer is 2 + i.

Step-by-step explanation:

Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

2xy = 4

=> xy = 2

=> x = 2/y

Substitute in

=> x^2 - y^2 = 3

=> 4/y^2 - y^2 = 3

=> 4 – y^4 = 3y^2

=> y^4 + 3y^2 – 4 = 0

=> y^4 + 4y^2 – y^2 – 4 =0

=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

5 0
3 years ago
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