The diameter of the cylinder barrel was 20 in. When the barrel was lifted away it left an imprint of a circle on the ground. What is the area of the circle?

Answer:

Step-by-step explanation:

Take the log of both sides:

log (5^2) = log 25, or

2 log 5 = log 25 or 2 log 5

Note that 5^2 = 25 is always true.

Answer:

y= 1200(0.92)^x

Step-by-step explanation:

Given data

Cost price= $1200

Rate of decrease= 8%

Let the time be x

The expression that describes an exponential function is

y= ab^x

for decrease b= 1-r

y= 1200(1-0.08)^x

y= 1200(0.92)^x

Hence the expression is

y= 1200(0.92)^x

Answer: The answer is no, they are not proportional

Step-by-step explanation:

Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05

The number of adult tickets purchased is 12.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Let no. of adult = x

No. of children = 28 -x

So, 7. 25 * x + (28 - x) *4. 50  = 159

⇒2.75x +126=159

⇒2.75x =33

⇒x=33/2.75

x=12

Hence, the number of adult tickets purchased is 12.

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Answer:

Step-by-step explanation:

He added 18 on both sides instead of subtracting 18 on both sides

X+18-18<22-18

X<4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's simplify step-by-step.

3a − 2 ( 8 + 4a )

Distribute:

= 3a + ( −2 ) ( 8 ) + ( −2 ) ( 4a )

= 3a + −16 + −8a

Combine Like Terms:

= 3a + −16 + −8a

= ( 3a + −8a ) + ( −16 )

Answer:

= −5a − 16

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

The ^ operator in logical mathematics means the OR operation . Therefore , the statement ∧ and ∠means that a or the negation of a is joined by the or operation .

These are known as logical operations as they are based upon logic.The meaning of the term logic is reasoning which means to resonate. The reasoning may be a legal opinion or mathematical confirmation.

We apply logic on expression to check whether they are true of false . Some of the mathematical logics are a negation, conjunction, and disjunction logical operations. The symbols used for them in mathematical logic is, ‘~’ for negation ‘^’ for conjunction and ‘ v ‘ for disjunction.

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Answer:I think 1/3

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

The process of each individual getting chosen is a sequence of events, meaning we need to multiply each individual probability separately in order to get the probability of this happening. For the first choice, the probability is 1/3 since there can only be one chosen to go first and there are three options. For the second choic,e the probability is 1/2 because only one can be chosen but there are now only 2 options since someone got chosen to be first. This leaves the last probability which is 1/1 since only one person is left. Therefore, to get the probability of this event happening we need to multiply all of these probabilities together...

1/3 * 1/2 * 1/1 = x

[tex]\frac{1 * 1 * 1}{3 * 2 * 1} =[/tex] [tex]\frac{1}{6}[/tex]

Therefore the probability of Bobby going first, Chandler going second, and Adrian going last is 1/6

Answer:

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

Step-by-step explanation:

cos = adjacent side/hypotenuse

Then, in a right triangle the adjacent = 2 and the hypotenuse = 3

By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2

9 - 4 = 5

opposite side = [tex]\sqrt{5}\\[/tex]

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

An easier way is to find sin(arccos (-2/3) = [tex]\frac{\sqrt{5} }{3}[/tex]

Note:  Remember that the sin is positive in the 2nd quadrant.

Answer:

3/14 chance first draw

Step-by-step explanation:

There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.

Probability the 1st draw is red = 3/14.

Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.

Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.

3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.

Answer:

(a)  

∠(a) = 105°

(b)  ∠(b) = 75°

(c)  

∠(c) = 105°

Step-by-step explanation:

Complete Question

1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:

(a) Suppose a car is traveling west on 4th Street and turns onto King Avenue heading south. What is the measure of the angle created by the car's turning? Explain your answer.

(b) Suppose a car is traveling southwest on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

(c) Suppose a car is traveling northeast on King Avenue and turns right onto 4th Street. What is the measure of the angle created by the car's turning? Explain your answer

Also find the attachment

Solution

(a)  

∠(a) + 75° = 180°

∠(a) = 180° - 75°

∠(a) = 105°

(b) As we can see the 3rd and 4th street are parallel thus the corresponding angle will be equal  

Thus, ∠(b) = 75°

(c)  

∠(c) + 75° = 180°

∠(c) = 180° - 75°

∠(c) = 105°

The side lengths measuring 4 units , 5 units and 6 units does not make a Right Triangle as they do not satisfy the condition of the Pythagoras Theorem that the square of the longest side is equal to the sum of square of other two side .

The Pythagoras Theorem states that the square of the lonest side (hypotnuse) is equal to the sum of the square of the other two sides ,.

The side lengths of the triangle are given as 4 units , 5 units and 6 units ,

According to the condition , [tex]6^{2} = 4^{2} + 5^{2}[/tex]

On simplifying ;

we get ;

[tex]36 = 16 + 25[/tex] ;

[tex]36 \neq 41[/tex]

that means the given side do not form a right triangle .

Therefore , the side 4 units , 5 units and 6 units do not make a right triangle .

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Answer:

hey guys!! answer is B!!

Step-by-step explanation

hope this helps!

Answer:

b give brainest

Step-by-step explanation:

Answer:

x=-1 y=2

Step-by-step explanation:

Use Elimination or Substitution (Elimination shown below)

6x+5y=4

6x-7y =-20 <- Multiply by -1

-6x+7y=20

12y = 24

y=2

Plug back into either of the equations and solve for x.

6x + 10= 4

6x = -6

x = -1

Double check work:

-6+10 = 4

Its a solid and a cube

You were wrong with square because a square only has one face while a cube has 6.

You were also wrong with polygon because while polygons are 1-dimensional a cube is 3-dimensional

The following terms correctly describe the given object Square, Solid, Cube, Polygon.

Options A, B, C, D are correct.

A cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.

Square is a figure in which all four sides are equal.

Solid is a three dimensional figure.

A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Polygon is two dimensional figure with straight lines.

The following terms correctly describe the given object Square, Solid, Cube, Polygon.

Options A, B, C, D are correct.

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Answer:

see explanation

Step-by-step explanation:

A

∠ UVX and ∠ WXV are alternate angles and are congruent , then

∠ UVX = ∠ WXV = 15°

∠ WVU = ∠ WVX + ∠ UVX = 24° + 15° = 39°

B

opposite sides of a parallelogram are congruent , then

UV = XW = 36

C

consecutive angles are supplementary , sum to 180° , then

∠ XUV + ∠ WVU = 180° , so

∠ XUV + 39° = 180° ( subtract 39° from both sides )

∠ XUV = 141°

D

diagonals bisect each other , so

YW = UY = 10

Answer:

7. .44

8. .009

Step-by-step explanation:

7. 44 ÷ 100 = .44

8. 9 ÷ 1000 = .009

Answer: [tex]2\sqrt{11}\ ft[/tex], Irrational number

Step-by-step explanation:

Given

The square rug has an area of [tex]44\ ft^2[/tex]

The area of the square rug is [tex]\left( \text{Side length}\right)^2[/tex]

Suppose the side length is [tex]x[/tex]

[tex]\therefore x^2=44\\\Rightarrow x=\sqrt{44}\\\Rightarrow x=2\sqrt{11}\ ft[/tex]

As [tex]\sqrt{11}[/tex] is irrational, therefore, [tex]2\sqrt{11}[/tex] is not a rational number.

Answer:

850 m²

Step-by-step explanation:

There are 3 different pairs of rectangles—the side rectangles, the rectangles on the top and bottom, and the other side rectangles.

10x11=110

110x2=220

15x10=150

150x2=300

15x11=165

165x2=330

330+300+220=850 m².

The volume of the box is 58 cm³. Therefore, the units of the answer are cm³.

Volume is the measure of the amount of 3-dimensional space occupied by an object or substance. It is usually measured in cubic units, such as cubic centimeters (cm3) or cubic meters (m3). Volume is an important concept in mathematics, physics, chemistry, and engineering, and is used to calculate the amount of material needed for a given project.

The volume of the box can be calculated by multiplying the area of the base with the height of the box. The area of the base is 58 cm² and the height of the box is x - 2 cm. Therefore, the volume of the box can be expressed as:
Volume = 58 cm² x (x - 2 cm)
     = 58 cm³
The volume of the box is 58 cm³. Therefore, the units of the answer are cm³.

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Answer:i need to know what youre trying to find first

Step-by-step explanation:

Answer:

The initial fee

Step-by-step explanation:

Thats the fee to sort of set up the membership, the 15 is the monthly cost, and m is the months you use the membership. Make sense?

The requirement of the parallel sides is Alternate interior angles.

The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.

The alternate interior angles require two parallel lines to be formed. Therefore the requirement of the parallel sides is Alternate interior angles.

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The number that belongs to both sequences is 26.

The formula known as the nth term allows us to locate any term in a series. The letter "n" stands for "number."

By changing the term number's value, we can create a series that uses the nth term (n).

To find the 10th term we would follow the formula for the sequence but substitute 10 instead of ‘n‘; to find the 50th term we would substitute 50 instead of n.

We have two sequences, let's call one as A and the other as B.

The n-th term of sequence A is written as:

aₙ = 3*n^2 - 1

the nth term of sequence B is written as:

bₙ = 30 - n^2

We want to find a term that belongs to both sequences, (it can be for different integers, we can use n for sequence A and x for sequence B)

Then we want to find:

aₙ = bₓ

where n and x are integer numbers.

Then we will heave:

3*n^2 - 1 = 30 - x^2

To find the pair, we could isolate one of the variables, then input different integers in the other variable and see if the outcome is also an integer.

Let's isolate n.

3*n^2 = 30 - x^2 + 1

3*n^2 = 31 - x^2

n^2 = (31 - x^2)/3

n = √(  (31 - x^2)/3)

Now let's input different values for x, and see if the outcome is also an integer, notice that x is in a negative term inside a square root, then we have only a few values of x such that the equation can be true.

Then let's start with x = 1.

n(1) = √(  (31 - 1^2)/3) = √(30/3) = √10

We know that √10 is not an integer.

now with x = 2,

n(2) = √(  (31 - 2^2)/3)  = √( (31 - 4)/3) = √(27/3) = √9 = 3

then if x = 2, we have n = 3.

Both of them are integers, then we get:

a₂ = 3*(3)^2 - 1 = 27 - 1 = 26

b₃ = 30 - 2^2 = 30 - 4 = 26

Therefore, The number that belongs to both sequences is 26.

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Answer:

True

True

False