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2 years ago

5

What is the modulus of 2 – 3i?

1 answer:

Bas_tet [7]2 years ago

8 0

What is the modulus of 2 – 3i?

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add 7. double the result. subtract 8. divide by 2. su tract the orginial selected number 1st nuber is 3 second number is 4 the t

sertanlavr [38]

Hi,

The equation looks like this...

$n + 7 \times 2 - 8 \div 2 \\ 3 + 7 \times 2 - 8 \div 2 = 3 + 14 - 4 = 13 \\ 4 + 7 \times 2 - 8 \div 2 = 4 + 14 - 4 = 14 \\ 9 + 7 \times 2 - 8 \div 2 = 9 + 14 - 4 = 19 \\ 12 + 7 \times 2 - 8 \div 2 = 12 + 14 - 4 = 22$

Hope this helps.
r3t40

8 0

2 years ago

A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to

Aliun [14]

Answer:

$A=9.5\ ft^2$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

so

$A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}$

we have

$b=4\ ft$

Find the height of the right triangle applying the Pythagorean Theorem

$5^2=h^2+4^2$

$h^2=9\\h=3\ ft$

The radius of the semicircle is half the height of triangle

$r=3/2=1.5\ ft$

substitute in the formula

$A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}$

$A=6+3.5=9.5\ ft^2$

5 0

2 years ago

Read 2 more answers

Which of the following numbers creates a Pythagorean Triple? (12,16, ___ ) ?

tatyana61 [14]

Answer:

20

Step-by-step explanation:

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7 0

2 years ago

What is the relationship between the 3's in the number 9,338?

Serhud [2]

The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).

4 0

2 years ago

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The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per da

andriy [413]

Answer:

$4.1975\cdot 10^{7}$

Step-by-step explanation:

We are told that the average human heart beats $1.15\cdot 10^{5}$ times per day and there are $3.65\cdot 10^{2}$ days in one year.

To find number of heart beats in one year we will multiply number of heart beats in one day by number of days in one year.

$1.15\cdot 10^{5}\times 3.65\cdot 10^{2}$

Now we will solve this problem using exponent properties.

$1.15 \times 3.65\cdot 10^{2+5}$

$1.15 \times 3.65\cdot 10^{7}$

$4.1975\cdot 10^{7}$

Our answer is in scientific notation we can represent it in standard form as $4.1975\cdot 10^{7}=4.1975*10000000=41975000$ times.

Therefore, average human heart beats in one year $4.1975\cdot 10^{7}$ or 41975000 times.

4 0

2 years ago

Read 2 more answers