OMG PLEASE HELP The diagram shows three circles with radii r=10 cm. The centers also form the vertices of an equilateral triangle.

 16.205 cm²

It takes some time, but it's not impossible!

Step-by-step explanation:

Find the area of the triangle, then subtract the area of the three sectors.

 The three sectors are each 60° so they add to 180° which is equivalent to half the area of one circle.  

The area of the triangle is one half base times height. To find the height of the triangle, use the Pythagorean Theorem to get the length of the perpendicular bisector.

a² + b² = c² .  

C is the side length, 20cm. (the length of two radii) B is half the side length 10cm. A is the "altitude" or height we need to find.  

a² + 10² = 20²

a² + 100 = 400 .  a² = 400-100

a² = 300

a = √300   a ≈ 17.3205

Area of triangle: A= bh/2

A = (20 × 173.205)/2

Triangle Total Area ≈ 173.205

To the area of the circle, use the equation A = πr²  

A = 3.14 × 10²

A = 3.14 × 100  

Circle Total Area =  314 cm².  

You could take 1/6 of that, and then multiply by 3,  or just take half

Area of sectors=  157 cm²

Triangle Area - Sectors Area = Blue shape Area

173.205 - 157 ≈ 16.205 cm²

Hi, are you still active?

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

explanation:

step-by-step explanation: