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Juli2301 [7.4K]
4 years ago
7

Find the modulus of 15+36i

Mathematics
1 answer:
Phantasy [73]4 years ago
3 0

Answer:

<em>The modulus is 39</em>

Step-by-step explanation:

<u>Modulus of a complex number</u>

The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:

\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}

The given complex number is z = 15 + 36i

Calculating the modulus:

|z|=\sqrt {15^{2}+36^{2}}

|z|=\sqrt {225+1296}

\boxed{|z|=\sqrt {1521}}

|z|=39

The modulus is 39

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How would a 75% achievement grade on a test affect a person with a 90 average
Sphinxa [80]

Well, let's see how it'll effect your grade...

75% ÷ 90% = 0.83

0.83 x 100 = 83%

It would effect your grade by 7 percent, lowering it to 83%

I hope this helps!

8 0
3 years ago
Which real value of m makes the expression undefined<br><br> M^8+1/4m^2
Soloha48 [4]

Answer:

m = 0

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the rational expression undefined. Equating the denominator to zero and solving gives the value that m cannot be.

4m² = 0 ⇒ m² = 0 ⇒ m = 0 ← excluded value

5 0
3 years ago
If a=3 and b=4 then ba=
yuradex [85]

Answer:

12

Step-by-step explanation:

"ba" means "b * a", where * is multiplication. So, we want to find the product of a and b.

We know a = 3 and b = 4, so we just plug these in: 3 * 4 = 12.

Thus, ba = 12.

Hope this helps!

5 0
3 years ago
Read 2 more answers
L=U²A divided by (A+B)² make A the subject of formular​
nikklg [1K]

Answer:

A =  [- 2Bl + U^2 +/- √((2BL - U^2)^2 - 4B^2L^2) ] / 2L

Step-by-step explanation:

L = U^2A  / (A + B)^2

U^2 A = L(A^2 + 2AB + B^2)

U^2 A = LA^2 + 2ABL + B^2L

LA^2 + 2ABL - U^2A + B^2 L = 0

LA^2 + (2BL - U^2)A + B^2L = 0

Using the quadratic formula

A =  [- (2BL - U^2) +/- √[(2BL - U^2)^2 - 4*L*B^2L] / 2L

A =  [- 2BL + U^2 +/- √[(2BL - U^2)^2 - 4B^2L^2) ] / 2L

6 0
3 years ago
Can any one solve this math 7A equation
DiKsa [7]

Answer:

12). Length in the actual will be 6.25x12=75 in

13). Length in the model will be 15/12=1.25 ft

14). depth in the actual will be 32x12=384 cm

15). Width in the actual will be 5.4x12=64.8 ft

16). Diameter in the model will be 21/12=1.75 cm

Step-by-step explanation:

Given table show relation between model and actual prototype.

It is given that the actual prototype is scaled by 12 of the model.

I.e. Model x 12 = Actual.

12).

For mattress,

Length in the model is 6.25 in.

Length in the actual will be 6.25x12=75 in

13).

For corvette,

Length in the actual is 15 ft

Length in the model will be 15/12=1.25 ft

14).

For Water tower,

depth in the model is 32 cm in.

depth in the actual will be 32x12=384 cm

15).

For wingspan,

Width in the model is 5.4 ft

Width in the actual will be 5.4x12=64.8 ft

16).

For Football helmet,

Diameter in the actual is 21cm

Diameter in the model will be 21/12=1.75 cm

5 0
3 years ago
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