Answer: 1/2, 1/2, 1/4
Step-by-step explanation:
To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12
Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number
13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution
Answer:
2(3x+2) is your answer because you factor out 2. The number 2 is a factor of both 6 and 4 (2*3=6 and 2*2=4).
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.
Step-by-step explanation:
- 90-27=63°
- <2
- <2,<4
- 360°
Complete Question
Two geometrically similar jugs have volumes of 1000 cm³and 512 cm³.They have circular bases. The diameter of the base of the larger jug is 9 cm.
Calculate the diameter of the smaller jug.
Answer:
7.2 cm
Step-by-step explanation:
To solve the above question,we have the proportion
Smaller volume/ Larger volume = (Smaller diameter/ Larger diameter)³
We are to find the smaller diameter
Hence our formula is give as
Cube root(Smaller volume/ Larger volume)= Smaller diameter/ Larger diameter
=cube root( 512/1000) = x/9
= 8/10 = x/9
Cross Multiply
10x = 8 × 9
10x = 72
x = 72/10
x = 7.2cm
Therefore, the diameter of the second jug is 7.2 cm
