All categories

3 years ago

A circle has a circumference of 120 meters What is the measure of its radius? Round

Mathematics

1 answer:

pishuonlain [190]3 years ago

4 0

Answer:

C.) 19.1

Step-by-step explanation:

$C=2$ π $r$

$120=2*3.14*r$

Divide by pi

$\frac{120}{3.14}=2r\\ \\38.22=2r$

Divide both sides by 2

$\frac{38.22}{2} =\frac{2r}{2} \\\\19.11=r\\\\r=19.1$

Done.

You might be interested in

What is the answer to 64+(-15)

MAVERICK [17]

Answer:

Step-by-step explanation:

the number a negative so you basically subtracting

8 0

3 years ago

Read 2 more answers

Write a linear equation for the line with slope = - 1/4 going through the point: (0, 0)

Serjik [45]

The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.

You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.

The equation becomes y= -1/4x + 0

Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.

Answer is y = -1/4x

5 0

3 years ago

Read 2 more answers

Ula - 4 5/8 divided by 1 1/2

bogdanovich [222]

Answer:

The exact form is 5/44 and decimal form is .1136

Step-by-step explanation:

Divide by a fraction and multiply by its reciprocal

5/8 * 2/11

Cancel the common factor 2

5/4 * 1/11

Multiply 5/4 and 1/11

5/4(11)

The result is

5/44 or .1136

6 0

4 years ago

The explicit rule for a sequence is given. an=3(1/6)^n−1 Enter the recursive rule for the geometric sequence. a1= ; an=

LenaWriter [7]

Answer:

The recursive rule is a1 = 3 , an = (1/6) a(n-1)

Step-by-step explanation:

* Lets revise the recursive formula for a geometric sequence:

1. Determine if the sequence is geometric (Do you multiply, or divide,

the same amount from one term to the next?)

2. Find the common ratio. (The number you multiply or divide.)

3. Create a recursive formula by stating the first term, and then

stating the formula to be the common ratio times the

previous term.

# a1 = first term;

# an= r • a(n-1)

- Where:

- a1 = the first term in the sequence

- an = the nth term in the sequence

- an-1 = the term before the nth term

- n = the term number

- r = the common ratio

* Lets solve the problem

∵ an = 3(1/6)^(n-1) ⇒ geometric sequence

∵ The explicit rule is an = a1(r)^n-1

∴ a1 = 3 and r = 1/6

- Lets write the recursive rule

∵ a1 = first term;

∵ an= r • a(n-1)

∴ a1 = 3

∴ an = (1/6) a(n-1)

* The recursive rule is a1 = 3 , an = (1/6) a(n-1)

3 0

4 years ago

If m <1=30 and m ST = 20, then m VU

grin007 [14]

Answer: 80°

Step-by-step explanation:

Since, If two secants intersect outside the circle, then the measure of the angle formed is one half of the difference of the measures of the intercepted arcs.

In the given diagram,

Chord VS and chord UT are intersecting externally,

Also, ∠SPT is the angle formed by the intersection of these chords.

Thus, by the above property,

$\frac{1}{2}[m(\widehat{VU})-m(\widehat{ST})]=m\angle SPT$

$\implies \frac{1}{2}[m(\widehat{VU}) - 20^{\circ}]= 30^{\circ}$

$\implies m(\widehat{VU}) - 20^{\circ}=60^{\circ}$

$\implies m(\widehat{VU}) = 80^{\circ}$

⇒ Measurement of the arc VU= 80°.

5 0

4 years ago