Answer:
Option (B)
Step-by-step explanation:
Length of PR = 4
RS = 4
QS = 4
For the length of PT,
PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]
PT² = QS² + PR² [Since, RT ≅ QS]
PT² = 4² + 7²
PT² = 16 + 49
PT² = 65
Now for the length of PQ,
PQ² = QT² + PT²
PQ² = RS² + PT² [Since, QT ≅ RS]
PQ² = 4² + 65
PQ² = 16 + 65
PQ = √81
PQ = 9
Therefore, length of diagonal PQ is 9 units.
Option (B) will be the answer.
Answer:
tan=0.75
Step-by-step explanation:
We know sin=opp/hyp, so 21 is the opposite side length in relation to theta.
To figure out tan, we need to know what the adjacent angle is because tan=opp/adj
21 squared= 441
35 squared =1225
1225-441= 784
The square root of 784 = 28
Now that we know both the opp and adj sides, we can solve for tan.
21/28= 0.75
It would be D because if it’s the product that means times so 4xs=25
Answer:
Rectangle.
Step-by-step explanation:
If the diagonals are equal then the parallelogram is a rectangle. They are also equal in length in a square, which can be regarded as a special type of rectangle - but in this case the diagonals are perpendicular. They are also perpendicular in a rhombus.
Answer:
2
Step-by-step explanation:
Experimental probability : (Number of times event occur / total number of trials)
Total Number of trials = (3 + 4 + 6 + 3) = 16
Experimental probability :
For 1: P(1) :
3/16
For 2 : P(2) :
4/16 = 1/4
For 3: P(3)
6 /16 = 3/8
For 4 : P(4)
3 / 16
Theoretical probability :
The Theoretical probability of 1, 2, 3 and 4 are the same ;
Theoretical probability =
(Required outcome / Total possible outcomes)
For each of 1 - 4
Theoretical probability = 1 /4
Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability
