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3 years ago

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 125-ft radius? Use 3.14 for pi

Mathematics

1 answer:

Vesna [10]3 years ago

6 0

Answer:

2356 flowers

Step-by-step explanation:

The number of flowers will be given by

F=1+p/s

Where p is perimeter and s is rhe spacing

Perimeter of a circle is given by

$P=2\pi r$

Where r is the radius of the garden.

Substituting 125 ft for radius, rhe perimeter will be

$P=2*3.14*125=785 ft$

Conversion

Converting ft to inches, we multiply ft by 12 hence 785*12=9420 inches

Number of flowers will then be

F=1+9420/4=1+2355=2356 flowers

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Identify the lateral area and surface area of a regular square pyramid with base edge length 5 in. and slant height 9 in.

Galina-37 [17]

Note that a squared pyramid has a square base & 4 equal triangles.
To find the lateral the lateral area you calculate the area of the 4 equal triangles and to find the surface area (total Area) you add the area of the base:

Area of each triangle = side (5) x slant (9) and you divide by 2

==>Aera of 1 triangle = (9x5)/2 = 45/2 & for the 4 triangles

Lateral area = (45/2) x 4 = 90 in²

Now the base area (square) = 5 x 5= 25 in²

so the surface area = 90+25 = 115 in² (answer a)

7 0

3 years ago

A population of rabbits on a farm grows by 12% each year. Assume that this increase occurs as new baby rabbits at the beginning

jolli1 [7]

Answer:

a) r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

- rabbit food consumed during the 10th year is approximately 832 pounds

- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

Step-by-step explanation:

Given that:

r1 = 30 and a farm grows by 12%

a = 30 and the common ratio r = 1.12

now

n r

1 30.00

2 33.60

3 37.63

4 42.15

5 47.21

6 52.87

7 59.21

8 66.32

9 74.28

10 83.19

11 93.18

12 104.36

Therefore r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

if each rabbit consume 10 lbs of rabbit food each year

n r food consumed(lbs)

1 30.00 300

2 33.60 336

3 37.63 376

4 42.15 422

5 47.21 472

6 52.87 529

7 59.21 592

8 66.32 663

9 74.28 743

10 83.19 832

total 5265

Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds

And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

6 0

3 years ago

Dhanraj spent $204.20 purchasing volleyballs and basketballs.

Lemur [1.5K]

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3 Eqn 1

8.20x+12.60y=204.20 Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

$\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8$

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

6 0

3 years ago

one third of the sum of two angles is 60 degree and one quarter of their difference is 28 degree. find the two angles

vlabodo [156]

1/3(a + b) = 60
a + b = 60 * 3 = 180

1/4(a - b) = 28
a - b = 28 * 4 = 112

a + b = 180
a - b = 112
---------------add
2a = 292
a = 292/2
a = 146

a + b = 180
146 + b = 180
b = 180 - 146
b = 34

so ur 2 angles are : 146 and 34

7 0

3 years ago

In the problem attached, what are the measures of angles a and b

iren2701 [21]

Answer:

B = 74

A = 93

Step-by-step explanation:

opposite angles equal 180

so 180 - 106 = b

180 - 87 = A

4 0

3 years ago

How many​ flowers, spaced every 4 ​in., are needed to surround a circular garden with a 125​-ft ​radius? Use 3.14 for pi

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 125-ft radius? Use 3.14 for pi