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Svetach [21]
3 years ago
5

The quarterback of a football team releases a pass at a height of 6 feet above the playing field, and the football is caught by

a receiver 78 yards directly downfield at a height of 4 feet. The pass is released at an angle of 75 degrees with the horizontal. Find the time in seconds the receiver has to reach the proper position after the quarterback releases the football. Round your answer to one decimal place.
Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

t = 25.1seconds

Step-by-step explanation:

X(t)= 16cos75°t

Y(t)= 6 + (Vosin75°t - 16t^2)

Converting 78 yards to feet :

1 yard = 3 feet

78feet =?

78×3=234 feet

Y(t)= number of feet above the ground at t seconds

VoCos75° t = 234

t = 234/(VoCos75°)

At this time,4 = y(234/VoCos75°)

4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2

Vo= 140.66ft/s

Time,t= 234/(140.66× Cos75°)

t = 25.087seconds

t= 25.1 seconds (1 decimal place)

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There are 30 students in Mrs. Taylor's kindergarten class. If there are twice as many students with blond hair as with blue eyes
weqwewe [10]

Answer:

  11

Step-by-step explanation:

Let e represent the number of students with blue eyes. Then the number of students with blond hair is 2e. The total number of students is ...

  3 + e + 2e -6 = 30

We subtracted 6 because the expressions e and 2e cause the 6 students with both blond hair and blue eyes to be counted twice.

  3e = 33 . . . . add 3 and simplify

  e = 11

11 students have blue eyes.

5 0
3 years ago
Please help on this math problem!!!! will mark brainliest!!!!
worty [1.4K]

Answer:

\frac{14}{33}

Step-by-step explanation:

1/6 + 1/6 + 1/3 + 1/3 + 1/3 + 1/2 + 2/3 + 2/3 + 2/3 + 5/6 = 14/3

(14/3)/11 = 14/33

Hope this helps!

(Please mark Brainliest)

4 0
3 years ago
Read 2 more answers
So can someone help pleaseeee
Marat540 [252]
X=4. Hope this is the one you wanted me to answer.
6 0
4 years ago
Read 2 more answers
How much should each person receive?
seraphim [82]
Add up the 13+12 to get 25 then divide 500,000 by 25 to get 2,000. Then multiply it by 13 to get 26000 and by 12 to get 24000. Subtract 26000 minus 24000 to get 2000. 2000 is your answer.
4 0
3 years ago
X varies directly with y. If x is 16 when y is 20, find x when y is 80.
Taya2010 [7]

Answer:

32

Step-by-step explanation:

16/20 reduces down to 2/5

set 2/5=x/80

cross multiply 160=5x

divide 32=x

check 2/5=32/80

32/80; 16/40; 8/20; 4/10; 2/5

yay 32 is the answer good luck :)

5 0
4 years ago
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