Answer: (5.5,17.5)
Step-by-step explanation: using the midpoint formula
Answer:
Step-by-step explanation:
We have to remind one of the properties of the limits:
Lim x→a f(x)*g(x) = [Lim x→a f(x)]*[Lim x→a g(x)]
Hence, we evaluate the products of the limits
(a) Lim x→a f(x)*g(x) = 0*0 = 0
(b) Lim x→a f(x)*p(x) = 0*[infinity] = INDETERMINATE
(c) Lim x→a h(x)*p(x) = 1*[infinity] = infinity
(d) Lim x→a p(x)*q(x) = [infinity]*[infinity] = INDETERMINATE
Answer:
Step-by-step explanation:
ohn will need to sleep for 10.3 hours before his second exam so that the
he average of his two exam scores is an 80.
We were given
8 hours of sleep = 70
To get an average of 80
70+ x = 80
2
Cross multiply:
70+x = 160
x= 160-70
= 90.
If 8 hours of sleep = 70
x hours of sleep = 90
Cross multiply
8× 90 = 70 × x
720 = 70x
x = 720/70
x = 10.2857
≈ 10.3 hours of sleep
Answer:
Answer:
27.44 square cm
Step-by-step explanation:
If the length of parallelogram is a and b and angle between side a and b is .
Then area of parallelogram =
Given side length 4 cm and 7 cm
angle between them = 100°
value of sin(100°) = 0.98
Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44
Thus, area of given parallelogram is 27.44 square cm.
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The number of 9-players team formed = 7 teams.
The number of players for substitute = 5 substitute players.
<u>Step-by-step explanation:</u>
<u>step 1</u>: The total number of soccer players = 32 girls + 36 boys = 68 players.
<u>step 2</u>: Each team should have 9 players.
<u>step 3</u>:The number of 9-player teams that can be formed = 68/9 = 7 and Remainder is 5.
<u>step 4</u>: Therefore, The number of 9-players team formed = 7 teams.
The number of players for substitute = 5 substitute players.
