AB is a chord of a circle of radius 5cm the distance of AB from the centre is 3cm then AB is?

8 cm

Step-by-step explanation:

We first want to draw a diagram with the given information.

I am unsure if the image shows below, or if it is an attachment.

We then see we have a right triangle. What is a theorem that is commonly associated with right triangles?

So we use the pythagorean theorem to find the missing leg of the triangle has a length of 4 cm. But how does this help us? Well, when finding the distance from the center of a circle to a chord, we always find the line that is perpendicular to the chord and divides it in half (and passes through the center), and find the length.

So, the leg of length 4 we just found? That's half of our answer.

Since 4 × 2 = 8, we know that the length of AB is 8 cm.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

a

step-by-step explanation: