Answer:
m = 13
Step-by-step explanation:
Given
m - 5 = 8 ( isolate m by adding 5 to both sides of the equation )
m = 8 + 5 = 13
The value of c is 16.
<u>Step-by-step explanation:</u>
The perimeter of the parallelogram is given by,
Perimeter = 2( base + height )
The one of the dimension is given as 17 m.
Let us assume it has base of the parallelogram.
Therefore,
- The base of the parallelogram = 17 m.
- The perimeter of the parallelogram = 66 m.
Let, c be the height of the parallelogram.
<u>To find the value of c :</u>
Substitute the given data in the Perimeter of the parallelogram formula,
Put, height = c, base = 17 and perimeter = 66
⇒ Perimeter = 2 ( base + c )
⇒ 66 = 2 (17 + c)
Multiply 2 with each term inside the bracket,
⇒ 66 = 34 + 2c
⇒ 66 - 34 = 2c
⇒ 32 = 2c
Divide by 2 on both sides,
⇒ c = 32 ÷ 2
⇒ c = 16
Therefore, the value of c is 16.
The answer to the question is 11/14
Answer:
1595 ft^2
Step-by-step explanation:
The answer is obtained by adding the areas of sectors of several circles.
1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.
2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.
3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.
The area is the sum of the areas described above in numbers 1., 2., and 3.
total area = area 1 + area 2 + area 3
area of circle = (pi)r^2
total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2
total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2
total area = 1595.34 ft^2
Answer:
- A. The temperature –5º C is colder than the temperature –2º C .
- D. The temperature –5º C is warmer than the temperature –7º C
Step-by-step explanation:
The more negative a temperature is, the colder it is. In order, from colder to warmer, the temperatures are ...
colder ... ... ... ... warmer
-7 ºC ... -5 ºC ... -2 ºC
