Answer:
Both lights flash at 1:00
Step-by-step explanation:
they flash together every 2*7=14 minutes
in 60 minutes there are 4*14=56 minutes
they flash together at 1:56
more minutes brings you to 2:00
they flash together at 2:10 (4+10=14)
that leaves 50 minutes left in the hour
they flash three times which uses up 42 minutes
this brings you to 2:52 (10+42=52)
8 more minutes brings you to 3:00
in 6 more minutes (8+6=14) it will be 3:06 and they will flash together
Value of x is 76°
<u> </u><u>Step-by-step explanation:</u>
Given :- ∠JIH = 107°
and, JDI = 31°
To find :- value of x
solution:- ∠JIH + ∠JID =180° (the sum of angles on a line are supplementary)
∠JID = 180° - 107°
∠JID = 73°
Now in ΔJID
∠JID = 73° and ∠JDI = 31°
by angle some property of Δ
so, ∠JDI + ∠JID + ∠DJI = 180°
= 31° + 73° + ∠DJI = 180°
= 104° + ∠DJI = 180°
∠DJI = 180° - 104°
∠DJI = 76°
now, ∠DJI = ∠AJF = ∠X
so, x = 76°
hence value of x is 76°
Answer:
a₃ = 9
Step-by-step explanation:
The numbers in the set are referred to as { a₁, a₂, a₃, ... }
Answer:
The answer is $1.85
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- The cost of 5 chocolate bars = $5.75
- The cost of 2 chocolate bars and 3 packets of sweets = $7.85
<h3>
<u>To </u><u>Find</u>;</h3>
- The cost of one packet of sweets.
Now, we know that the cost of 5 chocolate bars are $5.75.
For 1 chocolate bar
5.75 ÷ 5 = $1.15
Here, we get the price of 1 chocolate bar
So, the cost of 2 chocolate bars and 3 packets of sweets are $7.85.
2 × chocolate bar = 2 × (1.15) = $2.3
Now, we want to find only the cost of one packet of sweets.
So,
7.85 – 2.3 = $5.55
3 packets of sweets cost $5.55
For 1 packets of sweets
5.55 ÷ 3 = $1.85
Thus, The cost of one packet of sweets = $1.85
Answer:
The height of the pole is 322.75 feet.
Step-by-step explanation:
Let the triangle Δ ABC with AC be the length of wire and AB be the Height of the pole
Length between the point of attachment of wire from base of the pole = BC = 137 feet
Angle of elevation to the pole = θ = 67°
We have to find the length of the pole that is AB Let the height of pole be h feet.
According to trigonometry :
Here, C = 67° , perpendicular = AB = h , base = BC = 137
Substitute the values,
Thus, the height of the pole is 322.75 feet.
