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3 years ago

Using the formula C=2pi r find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.

Mathematics

1 answer:

Ivenika [448]3 years ago

5 0

Answer: 88 inches

Step-by-step explanation:

We know that the formula to find the circumference of circle is given by :-

$C=2\pi r$ , where r is the radius of the circle.

Given : Diameter of circle = 28 inches

Also, diameter is twice of radius.

i.e. 2r=28

Therefore, the circumference of circle will be :-

$C=2\pi r=(2r)\pi=28\times(3.14)=87.92text{ inches}\approx88\text{ inches}$

Hence, the circumference of circle is 88 inches.

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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

Find the value of x that makes line m ll n

guapka [62]

Answer:

See below ↓

Step-by-step explanation:

14.

Between two lines m ║ n, the ∦ cuts through them forming two angles
As it forms a line, the sum of the angles is 180°
3x + 47 + x + 7 = 180
4x + 54 = 180
4x = 126
x = 126/4 = 63/2 = 31.5

15.

Alternate exterior angles on a transversal are equal
5x = 2x + 78
3x = 78
x = 26

5 0

2 years ago

Comparing Fractions Choose the correct symbol to compare the fractions please see attached image

Elza [17]

Answer:

Step-by-step explanation:

Given: $\frac{1}{2} ? \frac{1}{3}$

Want: Which fraction is larger?

To identify the size of a fraction, converting it into a fraction is easier

$\frac{1}{2}$ = 0.5

$\frac{1}{3}$ = 0.33

where 0.5 is greater than 0.33

Choices:

< is less than symbol

> is greater than symbol

= is equal to

$\frac{1}{2} > \frac{1}{3}$

Learn more about the Fractions at brainly.com/question/280013

Visual Representation:

8 0

2 years ago

A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is

olga nikolaevna [1]

Easy the answer is... about 5

5 0

3 years ago

Read 2 more answers

6(1—a) =3(a—b)+1 4(b—2) =3a Consider the system of equations above. If (a, b) is the solution to the system, then what is the

Jet001 [13]

6-6a=3a-3b+1, 9a-3b=5
4b - 8 =3a, 3a-4b=-8

9a-3b=5
(3a-4b=-8 )*(-3 )

9a -3b= 5
-9a+12b=+24
adding both equations
9b=29, b=29/9

3a=4b-8=4*29/9 -8=(4*29-8*9)/9 = 44/9
a=44/27
a-b=44/27 - 29/9=44/27 - 29*3/27=-43/27
this is a correct answer, unfortunately they do not have this choice, probably they made mistake somewhere. I even check the solution of equations by substitution values of a and b into equations

5 0

4 years ago