Answer:
Sarah is 60 years old
Step-by-step explanation:
64 divided by 4 is 16. Add 16 to 44 to get Sarah's age, 60
-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53
You would have to solve one at a time.
y=53/24
y=2.21
x=53/2
x=26.5
Answer:
π(6 cm) (10 cm)
Step-by-step explanation:
As we know that
The formula to calculate the lateral surface area of the cone is πrl
where
r denotes the radius i.e. 6 cm
l denotes the length i.e. 10 cm
So based on the above information
The expression that shows the lateral surface area of the cone is
π(6 cm) (10 cm)
Therefore the third option is correct
Hence, the same would be relevant
Sq.root of 1240 is approx 35 mm
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
