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3 years ago

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius?

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

1885 flowers

Step-by-step explanation:

Given that:

Radius, r of circle = 100 feets

The Circumference of the circke is thus ; 2πr

C = 2 * π * 100

C = 628.31853 feets

Converting feets to inches

1 foot = 12 inches

628.31853 feets = 628.31853 * 12 = 7539.8223 inches

If flowers are spaced at 4 inches :

Number of flowers that can be planted :

Circumference of circle / spacing

7539.8223 / 4

= 1884.9555 flowers

= 1885 flowers

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Dafna11 [192]

Answer:

Step-by-step explanation:

Area for triangle A is 12 Triangle B is 12 triangle C is 12

The area is related to the base and it's corresponding height because they all equal each other. The triangle has added on parts and it shows they are all equal but are in a different direction.

The area of the shaded triangle is 18 because the base is 6 and the height is 6.

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I hope this helps.

6 0

3 years ago

Read 2 more answers

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=16°, and VT = 4.9 feet. Find the length of TU to the nearest tenth of a foot.

RSB [31]

Given:

Given that TUV is a right triangle.

The measure of ∠T is 16°

The length of VT is 4.9 feet.

We need to determine the length of TU.

Length of TU:

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

where $\theta=16^{\circ}$ , adj = TV and hyp = TU

Thus, we get;

$cos \ 16^{\circ}=\frac{4.9}{TU}$

Simplifying, we get;

$TU=\frac{4.9}{cos \ 16^{\circ}}$

$TU=\frac{4.9}{0.9613}$

$TU=5.097$

Rounding off to the nearest tenth, we get;

$TU=5.1$

Thus, the length of TU is 5.1 feet.

6 0

3 years ago

The Johnsons’ new swimming pool measures 3x^2-2x+1 ft in length and x+2 ft in width. What is the area of the new swimming pool,

Usimov [2.4K]

Answer:

$3x^3 + 4x^2 -3x + 2$

Step-by-step explanation:

The area of the swimming pool will be equal to $length * width$ .

We know that the length is $3x^2-2x+1$ and the width is $x+2$ .

Therefore we can substitute those into the equation:

$(3x^2-2x+1)(x+2)\\$

Then, we expand the brackets using a grid (attached).

After this, we collect like terms to find the final answer:

$3x^3+6x^2-2x^2-4x+x+2\\3x^3 + 4x^2 -3x + 2$

Our final answer is: $3x^3 + 4x^2 -3x + 2$

8 0

2 years ago

Use the following function rule to find f(0). f(x)= -9 (3)^x f (0 ) =

AlladinOne [14]

Step-by-step explanation:

Substitute f(0) into the function:

$f(0) = - 9(3)^{0}$

Include exponent:

$f(0) = - 9(1)$

Multiply:

$f(0) = - 9$

7 0

2 years ago

Using the graph of the quadratic function, identify the domain

galina1969 [7]

Answer: Choice B) -infinity < x < infinity

==========================================================

Explanation:

The parabola goes on forever to the left and to the right. We can plug in any x value without worrying about something as a division by zero error. So any real number will work.

Writing -infinity < x < infinity refers to the entire number line, which is the set of all real numbers.

3 0

3 years ago