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jeka57 [31]
3 years ago
14

 How many​ flowers, spaced every 3 ​in., are needed to surround a circular garden with a 150​-ft ​radius? Use 3.14 for pi.

Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer:

3,768\ flowers

Step-by-step explanation:

step 1

Find the circumference of the circular garden

The circumference of the circle is equal to

C=2\pi r

we have

r=150\ ft

\pi=3.14

substitute the values

C=2(3.14)(150)=942\ ft

step 2

<em>Convert feet to inches</em>

Remember that

1\ ft=12\ in

942\ ft=942*12=11,304\ in

step 3

Divide the circumference by 3 in to calculate the number of flowers

11,304/3=3,768\ flowers

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3 years ago
A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile . The height of the
SIZIF [17.4K]

Answer:

12.5 in²

Step-by-step explanation:

Given:

Height of tile = 2.5 in

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Required:

Area of the tile

SOLUTION:

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5 0
3 years ago
A plan that costs $29.99 another company $19.99 and $0.35 during nights and weekends for what numbers of night and weekend does
Masja [62]

Answer:

<em>29 minutes more</em>

Step-by-step explanation:

Let m represent minutes

changing the statement to algebra, since the second company charges a different rate at night and weekend  we have the equation below;

$19.99 + $0.35m > $29.99

Subtract 19.99 from both sides to isolate m and we have;

$19.99 -$19.99 + $0.35 > $29.99 - $19.99

= $0,35m > $10.00

Divide both side by 0.35 to obtain the value of m;

\frac{0.35m}{0.35} > \frac{10}{0.35}

= m > 28.57

<em>m ⩾ 29 minutes</em>

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5 0
3 years ago
Read 2 more answers
Help I’ll give you 30 points
Gnesinka [82]

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

6 0
3 years ago
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