30 POINTS The graph shows how many inches above the ground, y, the valve on a rotating tire is for a given number of seconds x.

How many degrees is the tire turning every second?

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30 POINTS The graph shows how many inches above the - 1

Answers

Answer 1
Answer:

Answer:

180 degrees per second.

Step-by-step explanation:

We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).

Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.

We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.

\text{Degrees turned by tire in 2 seconds}=\frac{360^o}{2\text{ seconds}}

As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,

\text{Degrees turned by tire in every second}=\frac{180^o}{\text{ second}}

Therefore, the tire is turning 180 degrees per second.

Answer 2
Answer:

It takes 2 seconds for the tire to make a full revolution. This is evident from the plot - the curve has a period of length 2.

A full revolution of the tire is a turn of 360 degrees.

So the tire turns at a rate of (360 degrees)/(2 seconds) = 180 degrees/second.


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What is the total surface area of a cuboid whose dimensions are 12cm x 8cm x 3cm?​

Answers

Answer:

288cm

Step-by-step explanation:

8x3x12=

  288 centimeters

25 is 32% of what number?

Answers

The value of the unknown number is 78.125.

What is the value of the unknown number?

Given the parameter in the question:

25 is 32% of what number?

Let x represent the value of the unknown number,

Translating into an equation:

32% of x = 25

Note that: 32% is the same 32/100

Hence:

32/100 × x = 25

Multiply 32 and x:

32x/100 = 25/1

Next, cross multiply:

32x × 1 = 100 × 25

32x = 100 × 25

Multiply 100 and 25

32x = 2500

Divide both sides by 32

x = 2500/32

x = 78.125

Therefore, the value of x is 78.125.

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You can solve that by cross multiplication.
If 25 is 32%, then x is 100%:
25/32 = x/100
25*100 = 32*x
x = 25*100/32 = 78.125

To check the solution: 78.125*(32/100)=25

For this kind of question you just have to multiply times 100/percentage, that's what you always arrive to with the cross multiplication.
So if they asked you, 50 is 25% of what? You'd do 50*(100/25) = 200.
It's the reverse of finding the percentage of a number.

A polygon has an angle sum of 360°, and each angle measures 90°. What is the polygon?A-Triangle
B-Regular octagon
C-Pentagon
D-Square
----


Each angle measure of a regular polygon is 60°. What is the polygon?
square
quadrilateral
equilateral triangle
hexagon
-----


Select ALLthat apply.

Which of the following are true of a regular pentagon?
Each angle measure is 108°.
The angle sum is 720°.
It has six sides.
It is equilateral.

Answers

Answer:

1. Sqaure 2. Equialteral Triangle 3. Each angle is 108°

Step-by-step explanation:

Before we go ahead with this problem let us see the sum of all internal angles in various polygons.

a) Triangle : 180

b) Quadrilateral : 360

c) Pentagon : 540

d) Hexagon : 720

Now let us do each part

Part 1.

Polygon  sum is 360° , hence it is a quadrilateral . And each angle measures 90° , Hence it is either a square or a rectangle . Hence our answer from options is square

Part 2,

Measure of each angle of polygon is 60°.

60°*3= 180°

60°*4=240°

60°*5=300°

None of the above gives you a polygon except first . Hence our answer is an triangle and as every angle is equal is an equilateral triangle.

Part 3,

A regular pentagon has sum of its all interior angles is 720°. Total nos. of angle is 5 . Hence measurement of each angle will be

(720)/(5)=108

Hence option b is right

1. Square. 

2. Equilateral Triangle

3. Fact 1 (Each angle measure is 108°)

Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Arts holiday fruit punch?

Answers

The Apple juice is in one serving of Arts holiday fruit punch 0.1 cups .

Given:

Rachel used apple juice is 4.5 cups

served for 12 people

⇒  4.5÷12

⇒ 0.375

Art used apple juice is 4.75cups

served for10 people

⇒  4.75 ÷10

⇒ 0.475

The apple juice is in one serving of Arts holiday fruit punch is

⇒ 0.475 -  0.375

⇒ 0.1

What is fruit punch?

Punch made from fruit juices mixed with water or soda water (with or without alcohol) type punch an ice-cold drink that usually contains alcohol and is made into several servings usually served in a bowl.

The term punch refers to a wide variety of both non-alcoholic and alcoholic beverages, usually containing fruit or fruit juice. Employees of the British East India Company brought the drink from the Indian subcontinent to England in the late 17th century. The Fruit Punch recipe lives up to its name it's sweet, fruity and sure to appeal to kids and adults alike.

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The picture will explain it all...

Can someone explain to me how to do this? :

8^2y+4 = 16^y+1

Answers

Answer:

y = -4

Step-by-step explanation:

Assuming the problem is 8^(2y+4)=16^(y+1), it would be nice if we could convert both sides of this equation to the same base; that way, we could compare the exponents directly in an equation of their own. Fortunately, 8 and 16 are both powers of 2 -- 2^3 and 2^4, we can rewrite the original equation by substituting those in:

(2^3)^(2y+4)=(2^4)^(y+1)

When you have an exponent raised to another exponent, you multiply those exponents together, so we can simplify our equation by distributing a 3 in the left exponent and a 4 in the right:

2^(3\cdot(2y+4))=2^(4\cdot(y+1))\n2^(3\cdot2y+3\cdot4)=2^(4\cdot y+4\cdot1)\n2^(6y+12)=2^(4y+4)

With both of our bases the same, we can now simply compare their exponents directly to solve for y:

6y+12=4y+4\n2y=-8\ny=-4

The ratio of miles to hours in activity 1 is 14;2 which can be reduced to 7:1 How is simplifying the ratio similar to division??

Answers

It is similar to division because when you reduce 14:2 you just divide 14 by 2 and 2 by 2