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3 years ago

What is 0.000982 in scientific notation

Mathematics

2 answers:

rodikova [14]3 years ago

8 0

9.82 x 10^ -4 is the correct answer.

madam [21]3 years ago

3 0

9.82 x 1/10 = 0.982

9.82 x 1/10 x 1/10 = 0.0982

9.82 x 1/10 x 1/10 x 1/10 = 0.00982

9.82 x 1/10 x 1/10 x 1/10 x 1/10 = 0.000982

Therefore:

9.82 x 10^(-4) = 0.000982

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Solve equation using SQAURE ROOTS, show work. Round to the nearest hundredth if needed

ivann1987 [24]

Answer:

x=8, x=4

Step-by-step explanation:

Add 4 to both sides

$(x-6)^2=4$

Square root

$(x-6)= \sqrt{4}$

x - 6 = ±2

x = 8

OR x = 4

So, x=8 or x=4

7 0

1 year ago

Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm

castortr0y [4]

The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.

Recall that the area of a circle = pi*r^2

Substitute 3 in for r

Area = pi * (3)^2 = 9pi

SA = pi*r*l + B

Substitute our values into the equation

SA = pi * 3 * 5 + 9pi

SA = 15pi + 9pi

SA = 24pi cm^2

5 0

2 years ago

1. Ruth Lockwood earns $2,917 a month as a supervisor for Acme

soldi70 [24.7K]

Answer:

a. 25%

b. $1560

c. $130

Step-by-step explanation:

If 75% is paid by company, the rest is paid by Ruth.

Out of 100%, 75% is paid by company, so Ruth pays 100 - 75 = 25%

Per year, the total amount paid is 6240, but Ruth pas 25% of this. So,

25% = 0.25

To get the answer, we multiply 0.25 with 6240.

0.25 * 6240 = 1560

So, $1560 is paid by Ruth annually.

Since 1560 is paid annually (in 12 months), each month Ruth has to pay:

1560/12 = $130

Hence, $130 is deducted each month from her paycheck

6 0

3 years ago

Solve the triangle A=21 C=105 c=5

gregori [183]

Answer:

Granted that uppercase letters are the angles measurements and lowercase letters are the side lengths. I also was unable to round as I don't know to what decimal you need to round to.

First to find the measure of angle B, we must subtract A and C from 180

$180-21-105=54$

B=54

Next, we can use the law of sines in order to find the measures of a and b

As a reminder, The law of sines is

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

First, lets solve for b

$\frac{b}{sin54}=\frac{5}{sin105} \\\\b=\frac{(5)sin54}{sin105}\\\\b=4.187780119$

Next lets solve for a

$\frac{a}{sin21}=\frac{5}{sin105} \\\\a=\frac{(5)sin21}{sin105}\\\\a=1.85504901$

3 0

3 years ago

Please find the square roots of the following complex number.

Nana76 [90]

Hey there,

First, find the square root of the given equation.

$\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))$

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

$=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})$

Best of Luck!

6 0

2 years ago