Ask question

Ask question

All categories

alukav5142 [94]

2 years ago

15

An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.

1 answer:

Orlov [11]2 years ago

8 0

Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

You might be interested in

Fill in the box to rewrite the expression 5x + 10<br> using the GCF.<br> 5x + 10 = (<br> x) + (5 •

zvonat [6]

The GCF is 5 so the new expression would be: 5(x+2)

7 0

2 years ago

Whats the difference between range and interquartile range?

miv72 [106K]

Answer:

Step-by-step explanation:

The range is the difference between the highest and the lowest values in a set of data. The interquartile range, the IQR, is what's "inside" the box in a box plot, which consists of the difference between the central measures, which are the first and the third quartiles.

3 0

3 years ago

5x/x^2-9 + 7/x+3<br> Simplify

rjkz [21]

5x ÷ x² - 9 + 7 ÷ x + 3

Write the division as a fraction:

$\frac{5x}{x^{2} }\\$ - 9 + $\frac{7}{x}$ + 3

Simplify the expression:

$\frac{5}{x}$ - 9 + $\frac{7}{x}$ + 3

Calculate the sum:

$\frac{5}{x}$ - 6 + $\frac{7}{x}$

Write all numerators above the common denominator:

$\frac{5 - 6x + 7}{x}$

Add the numbers and you get the final answer:

$\frac{12-6x}{x}$

4 0

2 years ago

Please please help meeee

Daniel [21]

Answer:

1.5 km

Step-by-step explanation:

Length of pool = 25m

no.of lengths. = 60

Total length of he swim s = 25m* 60

= 1500m

You know , 1000m = 1km ,

so,

He swims 1500m/1000m

= 1.5 km

4 0

3 years ago

What is the future value of a R 75 000 deposit made every 6 months for 3 years using an annual rate of 10% compounded semi-annua

dolphi86 [110]

Answer:

The future value is: RS 132867.075

Step-by-step explanation:

Given

$PV = 75000$ --- present value

$r = 10\%$ --- annual rate

$n = 6$ --- number of times compounded (3 years/ 6 months)

Required

The future value

This is calculated as:

$FV =PV * (1 + r)^n$

$FV = 75000 * (1 + 10\%)^6$

$FV = 75000 * (1 + 0.10)^6$

$FV = 75000 * (1.10)^6$

$FV = 132867.075$

<em>Hence, the future value is: RS 132867.075</em>

8 0

2 years ago