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IgorC [24]
2 years ago
9

A quarterback throws a football with a velocity of 41 mph and a direction of 168°. The wind on the field is 11 mph with a direct

ion of 339°. What are the true speed and direction of the football? Round the speed to the thousandths place and the direction to the nearest degree.
29.725; 171°
30.185; 171°
29.725; 9°
30.185; 9°
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
8 0

The true speed and direction of the football thrown by the  quarterback is 30.185 mph and 9⁰ respectively.

<h3>Relative velocity of the football</h3>

The true speed and direction of the football is determined by applying the concept of relative velocity.

Vr/w = Vb - Vw

where;

  • Vr/w is the velocity of the football with respect to the wind
  • Vb is the velocity of the football
  • Vw is the velocity of the wind

Vr/w = 41 mph - 11 mph = 30 mph

The direction speed can be determined by sketching a triangle

Direction of the speed, θ = (360 - 339) - (180 - 168)

                                       θ = 21 - 12 = 9⁰

<h3>Resultant speed;</h3>

R² = 41² + 11² - 2(41 x 11 x cos9)

R² = 911.105

R = √911.105

R = 30.185 mph

Thus, the true speed and direction of the football thrown by the  quarterback is 30.185 mph and 9⁰ respectively.

Learn more about relative velocity here: brainly.com/question/17228388

#SPJ1

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The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number
Whitepunk [10]

Answer:

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number?

the number is 2.409

Step-by-step explanation:

based on the question;

let the  number  N

1/6 of N = (1/6)N

21/2  of N = ( 5/2)N

now, the sum of  a number (N)  1/6 of that number(1/6)N , (5/2)N and 7  will be expressed as

N + ( 1/6)N + (5/2)N + 7 = 12 1/2

N + N/6 + 5N/2 + 7 = 25/2

find the lcm of the equation

we have;

(6N + N +15N + 42)/6= 25/2

(22N + 42)/6 = 25/2

Using cross multiplication we have

44N + 84 =  150

Collecting the like terms

44N = 150- 84

44N = 106

Divide both sides by 44

44N/44= 106/44

N = 2.409

3 0
3 years ago
HELP ME WITH THIS PLEASE!!!!
Vlada [557]

The answer is left two places.

For example 5.% would be 0.05 as a decimal.

5 0
3 years ago
URGENTEE. NON SO RISOLVERE QUESTO PROBLEMA.
Marrrta [24]

the question in English


Draw a rectangle having the base congruent to the nine sevenths of the height.

Let

b-------> the base of rectangle

h-------> the height of rectangle

we know that

b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height

examples

1) for h=7 units

b=(9/7)*7-------->b=9 units

the dimensions are 9 units x 7 units------> see the attached figure

2) for h=5 units

b=(9/7)*5-------->b=(45/7) units

the dimensions are (45/7) units x 5 units

The answer in Italian

Facciamo

b-------> base del rettangolo

h-------> altezza del rettangolo

Noi sappiamo che

b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza

esempi

1) per h=7 units

b=(9/7)*7-------->b=9 units


le dimensioni sono 9 units x 7 units-----> vedere la figura allegata

2) per h=5 units

b=(9/7)*5-------->b=(45/7) units


le dimensioni sono (45/7) units x 5 units

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Answer:

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Step-by-step explanation:

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