find the length of the bold arc. Round your answer to the nearest tenth.

Find The Length Of The Bold Arc. Round Your Answer To The Nearest Tenth.

Answers

Answer 1

Answer:

The length of the bold arc is approximately 13.4 mi

Step-by-step explanation:

The radius of the circle having the arc, r = 17 mi

Therefore, the circumference of the circle, 'C', is given as follows;

C = 2·π·r

∴ C = 2×π×17 = 34·π

The angle subtended by the arc = 45°

The sum of the angles at the center of the circle = 360°

By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle

Mathematically, we have;

[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]

Therefore, we get;

[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]

[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]

The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).


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Step-by-step explanation:

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Find the factors of 9q²-45pq+8q-40p

Answers

Answer:

(x−5y)(9x+8)

Step-by-step explanation:

9x^2−45yx+8x−40y

Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.

9x(x−5y)+8(x−5y)

Factor out common term x−5y by using distributive property.

(x−5y)(9x+8)

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The coordinates of B would be (-1, -3)

0/2
Sandy had one hundred fifty - five dollars to spend on eight books. After buying them she had eleven dollars. How much did each book cost?

Answers

Answer:

Each book costs $18.

Step-by-step explanation:

$155 - 11 = $144 left

$144/8 books = $18 per book

Hope this helps!

Answer:

155 minus the 11 she still had means she spent 144.

144 divided by 8 books comes to $18 per book, on average.

A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag

Answers

Answer:

0.59998

Step-by-step explanation:

Number of keys = 3

Number of coins = 7

Total = 10

Number of items taken out = 2

Expected number of keys taken out:

Let x = Number of keys taken out

X = 0

1st pick = 7/10

2nd pick = 6/9

7/10 * 6/9 = 0.46666

X = 1

(7/10 * 3/9) + (3/10 * 7/9) = 0.46666

X = 2

(3/10 * 2/9) = 0.066666

X : ____ 0 ______ 1 _______ 2

P(X): _0.46666__0.46666 _0.06666

Expected value :

(0*0.46666) + (1*0.46666) + (2*0.06666)

= 0.59998

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Answers

0.00604662

Or

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Answers

Middle one is the answer

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

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Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3101
V90
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Answers

Answer:

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Step-by-step explanation:

A triangle with base 8.2 cm and height 5.1 cm has an area of.

Answers

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

what is the sum of the exterior angles of regular 24-gon

Answers

9514 1404 393

Answer:

  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

A company sells widgets. The amount of profit, y, made by the company, is related to
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Answers

Answer:

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Step-by-step explanation:

13251+3032−8569=7714

A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?

Answers

Answer:

26,800 pounds of gravel

Step-by-step explanation:

13.4 tons is equal to 26,800 pounds

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Answer: C (324)

Step-by-step explanation:

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Answer:

C. 324 thats the answer my cousin solved this

Somebody pls!! “Write the equation of the line in fully simplified slope-
intercept form.”

Answers

Answer:

y = 3/5x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.

The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.

Therefore, your answer in slope-intercept form is y = 3/5x + 5.

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Step-by-step explanation:

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Answers

Answer:

150 sqaure ft

Step-by-step explanation:

okay so the formula for area of a trapezoid is

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Answers

Answer:

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Step-by-step explanation:

First, 3.75% of 220000

then multiply the answer with 9.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Q1.) The trail mix contains 2 1/2 cups of peanuts, 2 cups of raisins, 2 cups of pretzel sticks, and 1.5 cups of
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Answers

Answer:

25% of the mix is raisins

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?

80 ft
100 ft
120 ft
140 ft

Answers

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

The length of the field is 120 feet.

Option C is the correct answer.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Let's start by using the given information to set up two equations:

Let x be the length of the field in feet.

Then, the width of the field is x - 20 feet.

The area of the field is given as 12,000 square feet:

x (x - 20) = 12,000

Expanding the left side of the equation, we get:

x² - 20x = 12,000

Bringing all the terms to one side, we get:

x² - 20x - 12,000 = 0

Now, we can solve this quadratic equation using factoring,

Completing the square, or the quadratic formula.

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x² - 20x - 12,000 = 0

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The length of the field is 120 feet.

To check, we can substitute x = 120 into the equation for the width:

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Area = Length x Width

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The length of the field is 120 feet.

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Zamir needs to determine the height of the building

What’s the Height “A”
What’s Height “B”
What’s the Height of “X”

PLEASE

Answers

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = [tex]\frac{CD}{CE}[/tex]

CD = CE × [tex]\frac{1}{2}[/tex]

CD = [tex]\frac{29}{2}[/tex]

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

                     = 115.4 ft

Please as soon as possible. This is due in twenty Mins!

At the restaurant where you are a manager, the corporate partners have ordered that all tabletops be resurfaced with new laminate tops. The restaurant has 24 tables, each with triangular-shaped tops. The base of each triangle is 2.5 feet, and the height is 4.8 feet. What is the total area, in square feet, of laminate needed for the 24 tables?

Answers

Answer:

144 sq feet.

Step-by-step explanation:

A=B×H/2 2.5×4.8=12 12/2=6

24×6=144.

ANSWER:

The total area, in square feet, of the laminate needed for the 24 tables is 144sq feet

A 20-ounce bottle of lotion costs $4.00. How many ounces do you get for each dollar?

Answers

Answer:

You get 5 ounces per dollar

Answer:

You get 5 ounces for each dollar you spend in this deal

Step-by-step explanation:

If you were to put both of these numbers side by side and figure out how many times 4 goes into 20 that would be 5. Therefore you get 5 ounces for each dollar you spend.

The functions g and h are given by g(x) = x + 1 and h(x) = x²
Find the values of x for which hg(x) = 3x² + x - 5

Answers

Answer:

x = - [tex]\frac{3}{2}[/tex] , x = 2

Step-by-step explanation:

To find h(g(x)) substitute x = g(x) into h(x) , that is

h(g(x))

= h(x + 1)

= (x + 1)²

= x² + 2x + 1

For h(g(x)) = 3x² + x - 5 , then

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2x² - x - 6 = 0 ← in standard form

(2x + 3)(x - 2) = 0 ← in factored form

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2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

x - 2 = 0 ⇒ x = 2

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