Answer: B. 12.7
Step-by-step explanation:
Answer:
112 ft square
Step-by-step explanation:
Perimeter=2l+2w
l=w+6
Perimeter=2(w+6)+2w
44=2w+12+2w
44=4w+12
32=4w
8=w
l=8+6
l=14
area=lw
area=14x8
area=112 ft square
Answer:
90 dancers
Step-by-step explanation:
150/5=30
30x3=90
Answer:
Unit rate is 3 ounce of water per ounce of mix
Step-by-step explanation:
you combine 12 ounces of mix with 36 ounces of water.
12 ounces of mix for 36 ounces of water
For unit we need to find the ounces of water for 1 ounce of mix
12 ounces of mix for 36 ounces of water
so 1 ounces of mix for 36 / 12 = 3 ounces of water
3 ounces of water for 1 ounce of mix
Hence, 3 ounces of water per ounce of juice
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
