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Slav-nsk [51]
3 years ago
5

Using the distance formula, calculate how far Tre threw the ball. (4 points: 2 points for setup, 1 for calculation, 1 for the an

swer).
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

D = 63.717

Step-by-step explanation:

The details that complete the question are:

(x_1,y_1) = (0,42.78)

and

(x_2,y_1)=(90,42.78)

Required

Determine how far the ball travelled

Distance is calculated using:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute values for x's and y's

D = \sqrt{(42.78 - 0)^2+(42.78-90)^2}

D = \sqrt{42.78^2+(-47.22)^2

D = \sqrt{1830.1284+2229.7284

D = \sqrt{4059.8568

D = 63.717

<em>Hence, the ball travelled a distance of 63.717 units</em>

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Naomi and Sofia go to the movie theater and purchase refreshments for their friends. Naomi spends a total of $111.25 on 9 drinks
NeTakaya

Answer:

111.25=9x+8y

33.25=3x+2y

Cost of 1 popcorn bag  = $5.75


Step-by-step explanation:

We are given that Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn and Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.

We need to find system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Let cost of 1 drink = $x

So, cost of 9 drinks = $9x

So,cost of 3 drinks = $3x

Now, Let cost of 1 popcorn bag = $y

So,Cost of 8 popcorn bags = $8y

So,Cost of 2 popcorn bags = $2y

Since Naomi spends a total of $111.25 on 9 drinks and 8 bags of popcorn.

So, equation will be : 111.25=9x+8y  --(A)

Since, Sofia spends a total of $33.25 on 3 drinks and 2 bags of popcorn.

Thus, equation will be :  33.25=3x+2y--(B)

We will solve A and B by using substitution method

Finding value of x from equation B :

x = (2y-33.25)/3

Putting this value in Equation (A)

⇒111.25=9{(2y-33.25)/3}+8y

⇒111.25=99.75-6y+8y

⇒111.25=99.75+2y

⇒y = 5.75

Hence cost of 1 popcorn bag =y = $5.75

Now put value of y in equation A to get value of x

⇒111.25=9 x+8(5.75)

⇒111.25-46 = 9x

⇒65.25 = 9x

⇒65.25/9 = x

⇒$7.25 = x

Hence, The cost of 1 drink = $x = $7.25



6 0
3 years ago
Determine the first five terms I. The sequence that has a recursive rule of f(n) = f(n-1) + 2 for n is greater than or equal to
eimsori [14]

Answer:

Okay let me explain this to you so you understand

So what does f(n) mean?

Well F(n) is saying the function, of n.

Basically we need to make n be any random number.

Well what number do we choose?

In your question, it says n is greater than or equal than 2.

lets start with 2

f(n-1)+2

f(2-1)+2

1+2

3

f(2) is 3

lets do this 4 more times

that leaves us with the first 5 terms

these 5 terms are

3

4

5

6

7

7 0
3 years ago
A cylinder has a circular base with a radius that measures 9 inches. Determine the diameter of the base of the cylinder.
worty [1.4K]

The answer is 18 inches.

Let r=radius and d=diameter

2r=d

2(9)=d

18=d

Hope this helps!

6 0
4 years ago
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes
vampirchik [111]
The distance from the bottom of the wheel to a point on the ground can be modeled by a sine function. h(t)=a*sin(kt)+b. b is the height of the wheel, or 4m. a is the radius of the wheel, 50/2=25m. 2pi/k is the 5sinof thw revolution, so 2pi/k=6/3=2, k=pi. h(t)=25sin(pi*t)+4. 
7 0
3 years ago
Read 2 more answers
A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candid
Vikentia [17]

Answer:

45 candidates are expected to be rejected

Step-by-step explanation:

Here, we want to calculate the number of candidates to be rejected

The number of candidates to be rejected can be calculated from;

100% - (28% + 12%) = 60%

So 60% of the 75 interviewed are to be rejected

Thus, we have

60/100 * 75

= 45

4 0
3 years ago
Read 2 more answers
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