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Kruka [31]
3 years ago
14

How many flowers spaced every 4 inches are needed to surround a circular garden with a 15-foot radius? Round all circumference a

nd area calculations to the nearest whole number.
Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

283 flowers

Step-by-step explanation:

c=2pi*r

c = 1130.973 =1131

1131/4

282.75 = 283

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Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money doe
scZoUnD [109]

Answer:

$2,980

Step-by-step explanation:

Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.

From the given question:

Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage

the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points

Thus; the additional money  she need to bring to closing is calculated by the formula:

cost = points × loan amount

= 0.02 × $149,000

= $2,980

4 0
3 years ago
Find the perimeter of a square with sides of 61 +5.
KATRIN_1 [288]

Answer:

264

Step-by-step explanation:

the perimeter of a square with sides of 61+5 is 264

6 0
3 years ago
Read 2 more answers
An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available
Sergeu [11.5K]
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92

where V is the volume of each sphere
Solving for V
V = 113.0973

The formula for the volume of the sphere is:
V = (4/3) π r³

Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³

Since V = 113.0937
113.0937 = (1/6) π D³
D = 6

<span>Therefore, the diameter is 6 inches </span>
5 0
3 years ago
Read 2 more answers
Six more than the product of 24 and Vidya’s age
Oksana_A [137]

If we use v for Vidya's age, then the expression (24v)+6

3 0
3 years ago
A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found usin
BaLLatris [955]

Answer:1) Since you have not provided the full question, I will work the quadratic expression that models the height of the paper airplane to find as much information as it gets.

2) Firstly, note that the quadratic function -2x^2 + 5x + 33 has these characteristics:

i) It is a parabola

ii) Since, the coefficient of x^2 is negative (-2) it opens downward and has a maximum, which indicates the maximum height of the airplane

iii) The, y-intercept, i.e. the y-value for x = 0, is the initial height of the ariplane, the height from which it was launched, and it is - 2 (0) + 5(0) + 33 = 33.

Then, the airplane was launched from a height of 33 units.

3) The vertex of the parabola is the maximum and it tells both the time to reach the maximum height and the value of that maximum.

4) You can easily find the vertex coordinates by completeing squares. This is how:

Start: -2x^2 + 5x + 33

Factor - 2 from the first two terms: - 2 (x^2 - 5/2x) + 33

Add and subtract the square of the half of x's coefficient:

- 2 ( x^2 - 5/2x + 25/16) + 25/8 + 33

Form the perfect square binomial: - 2 (x - 5/4)^2 + 289/8

By comparission with the vertex form of the equation of the parabola: A(x - h)² + k, the vertex is:

(h,k) = (5/4, 289/4) = (1.25, 36.125).

5) Then, the maximum height is 36.125 units, when the time is 1.25 seconds.

6) You can also find the time when the airplane lands on the ground by making -2x^2 + 5x + 33 = 0

For that you can factor the expression -2x^2 + 5x + 33

-2x^2 + 5x + 33 = - (x + 3) (2x - 11)

Equal to zero: - (x + 3)(2x - 11) = 0 ⇒ x = - 3 and x = 11/2 = 5.5.

That means that the airplane will land on the ground at 5.5 seconds.

7) You can also find the heights at different times, by just pluging in different values of x in the expression -2x^2 + 5x + 33.

7 0
3 years ago
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