Answer:
n=-1
Step-by-step explanation:
distribute the 7 to n+4 to get 7n + 28 = 21. subtract 28 from both sides to get 7n = -7. divide both sides by 7 to get n=-1
you could also divide everything by 7 at the beginning to get n+4=3, then subtract 4 from both sides to get n=-1
Answer:
From the measure the picture provides us, we can conclude that the prism is a cube, which also tells us that all 6 sides of this prism have equal surface area, so we only need to calculate one of them and multiply the result by 6:
The surface area of one side of the cube should be: 2/3 . 2/3 = 4/9 (ft²)
The surface area of the prism should be: 4/9 . 6 = 24/9 = 8/3 (ft²)
Answer:
991 is the correct answer
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed =
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
= + - 2bc Cos A
= + - 2(45 x 35) Cos
= 2025 + 1225 - 3150 (0)
= 3250
x =
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
Answer:
6 hours
Which is equally to D!!!!
Step-by-step explanation:
Since the three toed sloth can travel up to 1/6 mile in 1 hour, we need to find the time it will take the sloth to walk 1/5 mile. 1 mile = 6 hours.