A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi

A Circular Hot Spring Has A Diameter Of 96 Meters. Over Time, The Diameter Of The Spring Decreases By

Answers

Answer 1

Answer:

The area decreases by 1155.52 square meters

Step-by-step explanation:

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters


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Answer:

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Step-by-step explanation:

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Answers

Answer:

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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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Answer:

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Step-by-step explanation:

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Answer:

A : less than 15 units from the origin

B : point exactly 15 units from the origin

C: less than 15 units from the origin

D: less than 15 units from the origin

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Step-by-step explanation:

can graph them using a online graphing calulator (desmos. com) to see the distance.

what is the volume of V?

Answers

V= “pi” multiplied by “radius squared” multiplied by “height”
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Answer:

V= pi multiplied by radius squared multiplied by height

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Step-by-step explanation:

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3 1/3 x 9/2
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Ben sells pizza slices, cotton candy, and popcorn. He orders containers that will hold one slice of pizza. The pizza slice container is a triangular prism. Dimensions are rounded to the nearest 1/2 inch. Give the volume of this pizza slice container.

Answers

Answer:

your answer would be 140in.

Step-by-step explanation:

volume=length x width x height

140in is correct volume= length x width x height

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Answer:

(u-4) (u+2)

Step-by-step explanation:

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Allan has to make a delivery that is 1200 miles away. By law, he can only drive his truck for 20 hours without taking a break. What must
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Answers

Answer:

Allan has to travel at 60mph if he wants to make the delivery before a break.

Step-by-step explanation:

when you think about it, speed is measured in miles an hour or mph so you have to figure out the speed in miles per hour that he will have to travel, its as simple as dividing 1200/20=60 becuase that gives you the miles per hour seeing how many times 20 can go into 1200.

Answer:

60mph

Step-by-step explanation:

HELP PLEASE!!!!
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Answer:

Step-by-step explanation:

Last year, the average number of absences in schools was 9 students per day. This year the average number is 6 students per day. What is the percent of decrease in student absences this year?

Answers

Answer:

The percent of decrease is 33.3... percent

Step-by-step explanation:

9 - 6 = 3

3 ÷ 9 = 0.3...

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The percent of decrease in student absences this year is 33.33%

What is percentage?

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Given that the average number of absences in schools was 9 students per day.

This year the average number is 6 students per day.

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Hence the percent of decrease in student absences this year is 33.33%

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[tex]\sqrt[4]{16} - 6\sqrt[3]{343} +18 \sqrt{243} -\sqrt{196}\\\\\\=\sqrt[4]{2^4}-6\sqrt[3]{7^3} +18\sqrt{81 \times 3}-\sqrt{14^2}\\\\\\=2-6\cdot 7 + 18\cdot 9 \sqrt 3-14\\\\\\=162\sqrt 3-12-42\\\\\\=162\sqrt 3-54\\\\\\=54\left(3\sqrt 3 -1 \right)[/tex]

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Answers

Answer:

12

Step-by-step explanation:

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12

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this is due today and I don't understand-
Sergio has x paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings. How many paintings will Sergio have in his art collection after his donation?
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Answers

Step-by-step explanation:

x - (48/12)

x - 4

Answer:

x - 4

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Answers

Answer:

B. Rhombus.

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Answer:

D

Step-by-step explanation:

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Answers

Answer:

1) 36

2) 190

3) 72 units

Step-by-step explanation:

1)  2x4 = 8 units area for rectangle

(4-2) x4 /2 = 4 units

6 x 4 = 24 units

8 + 4 + 24 = 36

2) 3 x 10 / 2 = 15 units

   5 x 10 /2 = 25 units

   15 x 10 = 150 units

   150 + 25 + 15 = 190 units

3) 6 x 3 / 2 = 9 units

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   6 x 3 / 2 = 9 units

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A function is shown g(x)=96.2(4)(x+2.5). The function g can be rewritten as the function h in the form h(x)=a(4)x. What is the value of a in the function h(x)?

I already know the answer, but I need the step-by-step. Thank you!

Answers

Answer:

96.2+240.5/x

Step-by-step explanation:

g(x)=96.2(4)(x+2.5)

h(x)=[96.2(x+2.5)](4)--------------Calculate[96.2(x+2.5)] first

h(x)=(96.2x+240.5)(4)

h(x)=x(96.2+240.5/x)(4)----------bring out X,So 96.2x+240.5 is divided by x

h(x)=(96.2+240.5/x)(4)x

h(x)=a(4)x

so a=96.2+240.5/x

The value of a is 96.2 + 240.5/x.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

Given g(x) = 96.2(4)(x+2.5),

and h(x) = a(4)x,

to find a

h(x) = [96.2(x + 2.5)](4)--------------Calculate[96.2(x+2.5)] first

h(x) = (96.2x + 240.5)(4)

h(x) = x(96.2 + 240.5/x)(4)--------bring out x,So 96.2x+240.5 is divided by x

h(x) = (96.2 + 240.5/x)(4)x

h(x) = a(4)x

so a  = 96.2 + 240.5/x

Hence value of a  = 96.2 + 240.5/x

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I don't understand how to write out the equation or solve it. Can someone help me?

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a cone is (1/3) · π · r2 · h

1/3 x 3.14 x 9 x 6

=56.52

The distance from Charlotte to Asheville is about 120 miles. If R.C. has two hours to make the trip, but drives 50 mph for the first 60 miles, how fast must R.C. go on the second half of the trip to reach Asheville in time?

A. 70 mph
B. 75 mph
C. 77.2 mph
D. none of these

Answers

Answer:

B. 75 mph

Step-by-step explanation:

d - distance

v - velocity

t - time

d = 120 miles

t = 2 hrs

1st 60 miles :

[tex]v = \frac{d}{t} [/tex]

[tex]t = \frac{d}{v} [/tex]

[tex]t = \frac{60}{50} [/tex]

[tex]t = 1.2 \: hrs[/tex]

[tex]t = 1.2 \times 60[/tex]

[tex]t = 72 \: minutes[/tex]

2nd 60 miles:

It took 72 minutes for him to travel the first 60 miles. To get the remaining time:

[tex]t = 120 - 72[/tex]

[tex]t = 48 \: minutes[/tex]

[tex]t = 0.8 \: hrs[/tex]

For the Velocity:

[tex]v = \frac{d}{t} [/tex]

[tex]v = \frac{60}{0.8} [/tex]

[tex]v = 75 \: mph[/tex]

The answer is b

Hope it helps

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Answers

Answer:

Vertical angles are congruent, so the

equation 3x-6 = 114 can be used to find x.

The value of x is 40.

Convince Me!

Why can you use an equation when solving for x in

the diagram?

You can use the eqution because they are equal to each other. When they are equal to each other, you can find x by using the equation to simplify and get x alone.

when my 8th grader friends cant even answer this welp me neither help?

Answers

Answer: 192

Step-by-step explanation:

Answer:

Step-by-step explanation:

In what quadrant would the ordered pair (-6, -9) be located?

1. III
2. I
3. IV
4. II

Answers

It would be located in III so #1
The ordered pair (-6,-9 ) will be in III or the third quadrant.

PLEASE HELP!! 50 POINTS! 6TH GRADE MATH- picture- PLEASE EXPLAIN!

Answers

Answer:

59.6 ft²

Step-by-step explanation:

The surface area of the pillow is the total area of the net.

The net is made up of 3 rectangles and 2 congruent triangles.

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Rectangle 1 (left)

area = 4 × 5 = 20 ft²

Rectangle 2 (middle)

area = 4 × 5.4 = 21.6 ft²

Rectangle 3 (right)

area = 2 × 4 = 8 ft²

Triangle

area = 1/2 × 5 × 2 = 5 ft²

(Be careful here, as it is easy to use the wrong length for the base of the triangle. The base and height of the triangle are perpendicular, so at right angles to each other.  Therefore, the base is 5ft and the height is 2ft)

Total area = rectangle 1 + rectangle 2 + rectangle 3 + 2 × triangle

                 = 20 + 21.6 + 8 + (2 × 5)

                 = 49.6 + 10

                 = 59.6 ft²

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