Answer:
12√3
Step-by-step explanation:
sin 30 =1/2
sin30=a/24. sin=opposit side/Hypotenuse
a is the opposite side of 30
1/2=a/24
a=12
now take pythagoras theroem
24^2=z^2+12^2
576=z^2+144
z^2=576-144
z^2=432
z=√432
z=√144*3
z=12√3
Answer:He should buy the six pack.
Step-by-step explanation:
The total number of hotdogs that the shopper needs is 48.
The store sells identical hot dogs in 2 differently sized packages. They sell a six pack hot dog for $2.10, and an eight pack of hot dog for $3.12.
If the shopper buys the six pack hot dog, he would need to buy 8 of it. The total cost would be
8 × 2.10 = $16.8
If the shopper buys the eight pack hot dog, he would need to buy 6 of it. The total cost would be
6 × 3.12 = $18.72
The 6 pack is cheaper than the eight pack. Therefore,
He should buy the six pack.
Answer: 1 hour 15 minutes
Step-by-step explanation:
From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:
= 5 × 30 minutes
= 150 minutes
= 2 hours 30 minutes
Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:
= 5 × 45 minutes
= 225 minutes
= 3 hours 45 minutes
We then calculate the difference in their exercise per week which will be:
= 3 hours 45 minutes - 2 hours 30 minutes
= 1 hour 15 minutes
Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
