Answer:
The number times both Mark and Jen will be at the beach on the same day over the next 30 days is 10 times.
Step-by-step explanation:
Every third day implies that they both go the beach and then have a two day break, and then go the beach on the day after.
Put simply, every third day implies one day in three days.
Based on the above, the number times both Mark and Jen will be at the beach on the same day over the next 30 days can be calculated by dividing 30 by 3 as follows:
Number times both Mark and Jen will be at the beach = 30 / 3 = 10
Therefore, the number times both Mark and Jen will be at the beach on the same day over the next 30 days is 10 times.
Step-by-step explanation:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.
The vertical distance will be given by:
sin θ=opposite/hypotenuse
but
θ=6°
opposite=x
hypotenuse=120 ft
thus
sin 6=x/120
x=120 sin 6
x=12.54 ft
thus the hiker's change of position is 12.54 ft
Answer:
30
Step-by-step explanation:
RT is a transversal, and since the sides of the parallelogram are parallel, angle QTR is equal to angle SRT, so angle SRT is 30 degrees. Since the side opposite the 30 degree angle in a right triangle is equal to half the value of the hypotenuse, RS is double TS, making RS equal to 10. Since opposite sides of a parallelogram are congruent, QR = 5 and QT = 10. We add up all the values of the sides to get a perimeter of 30.
Answer:
EF is the longest side of △DEF,
DF = 6 cm and
DE = 6 StartRoot 3 EndRoot cm.
Step-by-step explanation:
The angle ∠ EDF = 90° of the right triangle Δ DEF and ∠ DEF = 30° and ∠ EFD = 60°.
The hypotenuse EF is 12 cm.
Now, Sin ∠ EFD = DE/EF
⇒
⇒ DE = 6√3 cm.
Again, Cos ∠EFD = DF/EF
⇒
⇒ DF = 6 cm.
Therefore, EF is the longest side of △DEF, DF = 6 cm and DE = 6 StartRoot 3 EndRoot cm. (Answer)