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Vilka [71]
4 years ago
8

A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec at an angle of 86 degrees to the starting line. Th

e position of the person throwing the bowling ball can be represented by the point (0,0). Where is the ball after 8 seconds?
Mathematics
2 answers:
CaHeK987 [17]4 years ago
7 0

Answer:(0.6,10.6) after 8 seconds.

Step-by-step explanation:

Aleonysh [2.5K]4 years ago
6 0

Answer:

The position of ball is (0.78, 11.17) after 8 seconds.

Step-by-step explanation:

A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec at an angle of 86 degrees to the starting line.

Horizontal Position:

x=v\cos\theta \times t

Vertical Position:

y=v\sin\theta \times t

v=1.4\ m/s

\theta=86^\circ

t=8\ sec

Substitute the value into formula

x=1.4\cos86^\circ \times 8

x=0.78\ m

y=1.4\sin86^\circ \times 8

y=11.17\ m

Hence, The position of ball is (0.78,11.17)

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Maria invests $6,154 in a savings account with a fixed interest rate of 8% compounded continuously. What will the account balanc
Vitek1552 [10]

Answer:

$13,695.98

Step-by-step explanation:

We can use the continuous compound interest formula to solve:

A = Pe^{rt}

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, lets change 8% into a decimal:

8% -> \frac{8}{100} -> 0.08

Now, lets plug in the values:

A=6,154e^{0.08(10)}

A=13,695.98

The account balance after 10 years will be $13,695.98

3 0
3 years ago
Kennedy lives in the middle of the city. Her friend Zoe lives 8 miles to the west and her friend Shiloh lives 6 miles to the sou
Kamila [148]

Answer:

i would say about 16 miles.

5 0
3 years ago
Read 2 more answers
solve for each please i really need help if u want to help me with my test and i get an a or a b i will give u 500 dollars
Len [333]

Answer:

The relation is not a function

The domain is {1, 2, 3}

The range is {3, 4, 5}

Step-by-step explanation:

A relation of a set of ordered pairs x and y is a function if

  • Every x has only one value of y
  • x appears once in ordered pairs

<u><em>Examples:</em></u>

  • The relation {(1, 2), (-2, 3), (4, 5)} is a function because every x has only one value of y (x = 1 has y = 2, x = -2 has y = 3, x = 4 has y = 5)
  • The relation {(1, 2), (-2, 3), (1, 5)} is not a function because one x has two values of y (x = 1 has values of y = 2 and 5)
  • The domain is the set of values of x
  • The range is the set of values of y

Let us solve the question

∵ The relation = {(1, 3), (2, 3), (3, 4), (2, 5)}

∵ x = 1 has y = 3

∵ x = 2 has y = 3

∵ x = 3 has y = 4

∵ x = 2 has y = 5

→ One x appears twice in the ordered pairs

∵ x = 2 has y = 3 and 5

∴ The relation is not a function because one x has two values of y

∵ The domain is the set of values of x

∴ The domain = {1, 2, 3}

∵ The range is the set of values of y

∴ The range = {3, 4, 5}

3 0
3 years ago
7 times a number is equal to 12 more than three times the number. Find the number.
Sonja [21]
7x=3x+12 
-3x  -3x
4x=12
x=3
6 0
4 years ago
In square ABCD, m∠AED=(7x−8)°. What is the value of x?
kirill115 [55]

Answer:

12

Step-by-step explanation:

The angle equals 90 degrees so (8*12-6) would equal 90

hopefully i helped

4 0
3 years ago
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