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3 years ago

How do I simplify negative square root of 72

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

Solve for positive 72 and separate the negative part as $\sqrt{-1}$ The rest of calculation is same..

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

Harold has 4 classes each morning. Each class is 1 hour long, and there are 10 minutes between classes. The first class is at 8

Viktor [21]

The fourth class ends at 12:30 pm

Solution:

Given that Harold has 4 classes each morning

Each class is 1 hour long, and there are 10 minutes between classes

The first class is at 8 A.M

To find: Time at which fourth class ends

Since each is 1 hour long and 10 minutes gap between classes

First class = 8 A.M to 9 A.M

Second class = 9:10 A.M to 10 : 10 AM

Third class = 10 : 20 AM to 11 : 20 AM

Fourth class = 11 : 30 AM to 12 : 30 PM

Thus the fourth class ends at 12:30 pm

4 0

2 years ago

Solve the triangle for x.

Damm [24]

Answer:

d) 86.2 degrees

x = 86.20°

Attached is the image used in the question;

Step-by-step explanation:

Applying the law of cosine;

Cos C = (a² + b² - c²)/2ab

Where;

Angle C = x

c = 13 ft

b = 9ft

a = 10ft

Substituting into the equation;

Cos x = (10² + 9² - 13²)/(2×10×9)

Cos x = 0.0667

x = cos⁻¹(0.0667)

x = 86.20°

4 0

3 years ago

How to write 934 1/2 in scientific notation?

devlian [24]

9.35 times 10 to the second power

8 0

3 years ago

What is 12.791 rounded to the nearest hundredth

Viefleur [7K]

To the hundredth is 2 numbers after the decimal so since the third number is a 1 and its less than 5 it does no damage to the 9 therefore you just take away the one and you have your rounded answer, 12.79

8 0

3 years ago