Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = 
AM = 
= 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = 
= 
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Answer:
NO they don't form a triangle.
Step-by-step explanation:
Because they don't make a 90 degree angle.
no idea if this is what you're looking for but if it is then here's the answer:
Part 1) The mean is 151
Part 2) The mean absolute deviation is 9.1
Step-by-step explanation:
step 1
Find the mean
Sum all the values and divide by the number of values
step 2
Determine the absolute value of subtract the mean from each value
step 3
Find the mean of those distances
----> this number is called the mean absolute deviation (MAD)V
Answer:
Step-by-step explanation:
Perimeter of a rectangle is expressed as (2 length + 2 width) = 2(L + W)
A) The length of rectangle A is y + 1
The width of rectangle A is x
Perimeter of rectangle A = 2(y + 1 + x) = 2y + 2 + 2x
= 2x + 2y + 2
The length of rectangle B is 2x - 2y
The width of rectangle B is x + 1
Perimeter of rectangle B = 2(2x - 2y+ x + 1) = 4x - 4y + 2x + 2) = 4x + 2x - 4y + 2
= 6x - 4y + 2
The length of rectangle C is 3x + 3y
The width of rectangle C is 2x - 3
Perimeter of rectangle C = 2(3x + 3y + 2x - 3) = 6x + 6y + 4x - 6) =
(6x + 6y + 4x - 6)
= 10x + 6y - 6
B) The combined perimeters will be the sum if perimeter of rectangle A, perimeter of rectangle B and perimeter of rectangle C. It becomes
2x + 2y + 2 + 6x - 4y + 2 + 10x + 6y - 6
Collecting like terms
2x + 6x + 10x + 2y + 6y - 4y + 2 + 2 - 6
The combined perimeter = 18x + 4y - 2
Answer:
C=6p
Step-by-step explanation:
The cost (c) will be by itself since that is the answer you are looking for. 6p is grouped together because for every pound you pay $6. For example if you had 2 pounds of chocolate. You would multiple $6 by 2 and your cost would equal $12
