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2 years ago

9. Find the length of the arc shown in brown. Leave your answer in terms of 2 (1 point)

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

3 0

The length of the arc is 4π.

<u>Step-by-step explanation</u>:

Given,

Diameter = 24 ft
radius, r = diameter/2
r = 24/2 = 12 ft
central angle, ∅ = 60°

Arc length = ∅/360° (2πr)

⇒ 60°/360° (2π $\times$ 12)

⇒ 24π/6

⇒ 4π

∴ The length of the arc is 4π.

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You purchase 5 pounds of apples and 2 pounds of oranges for $9.Your friend purchases 5 pounds of apples and 6 pounds of oranges

babymother [125]

Answer:

x = 1 and y = 2

Step-by-step explanation:

Let apples are represented by x

and let oranges are represented by y

You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:

5x + 2y = 9

Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.

This line in equation format can be written as:

5x + 6y = 17

Now we have two equations:

5x + 2y = 9 -> eq (i)

5x + 6y = 17 -> eq(ii)

We can solve these equations to find the value of x and y.

Subtracting eq(i) from eq(ii)

5x + 6y = 17

5x + 2y = 9

- - -

_________

0+4y= 8

=> 4y = 8

y= 8/4

y = 2

Now, putting value of y in eq (i)

5x + 2y = 9

5x +2(2) = 9

5x +4 = 9

5x = 9-4

5x = 5

x = 1

so, x = 1 and y = 2

8 0

2 years ago

The grocery store is having a candy sale. Originally, a candy bar was $1.50. The

dangina [55]

The markdown rate is 66.7%.

<h3>Markdown rate</h3>

Using this formula

Markdown rate= Change in price/original price×100

Let plug in the formula

Markdown rate=$1.50-$0.50/$1.50

Markdown rate=$1.00/$1.50×100

Markdown rate=66.66%

Markdown rate=66.7% (Approximately)

Inconclusion the markdown rate is 66.7%.

Learn more about markdown rate here:brainly.com/question/1153322

8 0

2 years ago

Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4

Anettt [7]

<u>ANSWER</u>

$B=63\degree$

<u>EXPLANATION</u>

We want to solve the trigonometric equation;

$tan^2(B)=4$ , where $0\degree \le B \le 90\degree$ .

Taking square root of both sides gives,

$tan(B)=\pm \sqrt{4}$

$tan(B)=\pm 2$

Since B is in the first quadrant, we proceed with;

$tan(B)=2$ , because the tangent ratio is positive in the first quadrant.

$\Rightarrow B =arctan(2)$

$\Rightarrow B =63.43\degree$ .

Correct to the nearest degree,

$B =63\degree$

7 0

2 years ago

The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i

Julli [10]

Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

$P(n)=-5n^2+400n-6000$

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

$\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}$

Solve the resulting quadratic equation above

$\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}$

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

4 0

11 months ago

Box plots got me confused!! Help please due in 10 minutes!!

Pie

First draw a line on the smallest number, and one on the largest. then calculate the midpoint (n+1)/2 the value, and draw that line in the middle. calculate upper quartile and lower quartile and draw lines on them. draw a line between the tops of the quartiles and one between the bottom, and from the middle of the lines to the minimum and maximum. sorry if not explained well

6 0

3 years ago