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2 years ago

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

Mathematics

1 answer:

mixer [17]2 years ago

4 0

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

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kramer

Answer: 3/25

because 6

The upside down U means intersection

A intersect B intersect C is where all 3 circles overlap.

Sum up all the numbers to get 50

6/50 in half is 3/25

4 0

2 years ago

Read 2 more answers

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

Hence the length of AB is 29.15 units .

5 0

2 years ago

Maria cut a 5.25 inch piece of string into pieces that are each 0.75 inches long how many pieces of string did she cut.

Margaret [11]

There will be 7 pieces

5 0

2 years ago

Read 2 more answers

Each term of the first polynomial is ____________ to each term in the second polynomial

Georgia [21]

9514 1404 393

Answer:

multiplied
like terms

Step-by-step explanation:

To multiply two polynomials, each term of the first polynomial is multiplied to each term in the second polynomial. Combine any like terms to simplify.

3 0

2 years ago

2x+3/4(4x+16)=7 I need help finding x.. I don’t know how to do these problems with fractions :(

KIM [24]

Answer:

x=-1

Step-by-step explanation:

2x+3/4(4x+16)=7

2x+(3x12)=7--->distributive property

2x+3x+12=7

5x+12=7--->addition property

5x=-5--->subtraction peroperty

x= -1---?division property

5 0

2 years ago