● Answer:
8.995 cm
● Step-by-step explanation:
P = d + L/2
d = 3.5 cm
L/2 = 2pi×r/2
= pi×d/2
= 3.14×3.5/2
= 5.495 cm
P = 3.5cm + 5.495
= 8.995 cm
Answer:
D: 12
Step-by-step explanation:
The range is the difference between the largest value in the date minus the smallest value in the data.
In this set of numbers given, the largest value is 12 and the smallest value is 0
so: 12-0 = 12
The range of this data is 12
Answer:
13/4
Step-by-step explanation:
Convert these numbers to a mixed fraction.
-5 3/4 => -23/4
-2 1/2 => -5/2
Make them have a common denominator
-5/2 => -10/4
-23/4 can stay the same.
To find the distance between the two numbers, subtract the lesser value from the greater value.
-23/4 is <u>less</u> than -10/4.
(-10 - (-23)) /4
= 13/4
Therefore the distance between -2 1/2 and -5 3/4 on a number line is 13/4.
Answer:
x = 1 or -5/2
Step-by-step explanation:
-2x^2 - 3x + 5 = 0
multiply all through by -1
2x^2 + 3x - 5 = 0
....... 2x^2 × 5 = 10x^2 = +5x × -2x
(2x^2 + 5x)-(2x - 5) = 0
x(2x + 5) - 1(2x + 5) = 0
x - 1 = 0 or 2x + 5 = 0
x = 1 or 2x = - 5
x = 1 or -5/2
1. (2√5)/5
2. -44√7
3. 8√17
4. -6√3+12
For 1: Multiply the numerator and denominator by √5:

For 2: Simplify √112:
√112 = √(2*56) = √(2*2*28) = √(4*4*7) = 2*2√7 = 4√7
Now multiply by the -11 coefficient:
-11(4√7) = -44√7
For 3: Add the radicals as you would variables that are like terms.
For 4: Multiply by the conjugate. The conjugate of the denominator has the same values with the sign of the radical changed: