The fraction that is improper and it equals 8 is 64/8
800 different sets of digits
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
Answer:
The answer is rotation 270° about the origin
Step-by-step explanation:
If (x , y) is a point in xy-coordinates
If the point rotate about the origin ⇒ (The positive direction is anti-clockwise)
1- 90°
Its image is (-y , x)
2- 180°
Its image is (-x , -y)
3- 270°
Its image is (y , -x)
If we assume A is (1 , 7)
1- ⇒ (-7 , 1) ⇒ rotation 90° about the origin
2- ⇒ (-1 , -7) ⇒ rotation 180° about the origin
3- ⇒ (7 , -1) ⇒ rotation 270° about the origin
∵ x-coordinate of point A small and +ve and y-coordinate large and +ve
∵ x-coordinate of point A' large and +ve and y-coordinate small and -ve
∴ The answer is rotation 270° about the origin
∴ The answer is rotation 270° about the origin
Answer:
C.
Step-by-step explanation:
We can off-the-bat eliminate choices A and B, because the first part of the quadratic formula is a -b. Therefore, the value for b in the quadratic has to be a positive, because the value in the formula is negative. This leaves us with choices C and D. If you look at the discriminant, you will see that our <em>a </em>in the quadratic formula is 3, so your answer choice is C.
Answer:
The ratio of the height of the actual table to the height of the model table is .
Step-by-step explanation:
As given
A table is 4 ft high. A model of the table is 6 in. high.
As
1 foot = 12 inch
Now convert 4 ft into inches .
4 ft = 4 × 12
= 48 inches
Height of the actual table = 48 inches
Now the ratio of the height of the actual table to the height of the model
table .
Therefore the ratio of the height of the actual table to the height of the model table is .
