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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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SashulF [63]

Respuesta:

$81.250.

Explicación paso a paso:

Datos dados

Principal = $ 65,000

Tasa = 5%

Tiempo = 5 años

La expresión de interés simple se da como

A = P (1 + rt)

Substiute

A = 65000 (1 + 0,05 * 5)

A = 65000 (1 + 0,25)

A = 65000 (1,25)

A = $ 81,250

Por lo tanto, la inversión después de 5 años es de $81,250

6 0
3 years ago
-5+2(10b-2)=31 need help thanks!
Contact [7]

Answer:

\Large \boxed{b=2}

Step-by-step explanation:

-5+2(10b-2)=31

Expand brackets.

-5+20b-4=31

-9+20b=31

Add 9 on both sides.

20b=40

Divide both sides by 20

b=2

8 0
3 years ago
Read 2 more answers
In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin di
Sav [38]

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

8 0
2 years ago
Are squaring a number and taking a root ___ operations.<br><br>the same<br>opposite<br>different​
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They are opposite operations
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3 years ago
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rusak2 [61]

Answer:

x ≤ 7

Step-by-step explanation:

1. add 4 to both sides x-4+4 ≤ 3+4

2. simplify x ≤ 7

7 0
3 years ago
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