A plane travels at a constant speed. It takes 7 hours to travel 3,780 miles. What is the plane’s speed in miles per hour

Answer:

a)29

b)70

Step-by-step explanation:

The sum of the interior angles in a triangle is 180.

a)95+56+a=180        b)40+2b=180

151+a=180                     2b=180-40

a=180-151                      2b=140  /2

a=29                              b=70

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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The length of side x in simplest radical form with a rational denominator is 2√38.

To find the length of side x in simplest radical form with a rational denominator, we can use trigonometric ratios. Here, we are given two angles and the hypotenuse of a right triangle. We need to find the length of one of the sides. Let's use the angle 30°.

First, we need to identify which trigonometric ratio involves the angle 30°. In this case, we will use the sine ratio:

sin(30°) = opposite / hypotenuse

We know the hypotenuse is √760, but we don't know the length of the opposite side. We can rearrange the equation to solve for the opposite side:

opposite = sin(30°) x √760

Now, we need to simplify this expression by rationalizing the denominator. To do this, we can multiply the numerator and denominator by √10:

opposite = sin(30°) x √760 x √10 / √10

opposite = sin(30°) x √7600 / 10

opposite = (1/2) x √7600 / 10

opposite = √1900 / 5

Now we know the length of the opposite side. We can use the same process to find the length of the adjacent side using the cosine ratio:

cos(30°) = adjacent / hypotenuse

adjacent = cos(30°) x √760

adjacent = cos(30°) x √760 x √10 / √10

adjacent = cos(30°) x √7600 / 10

adjacent = (√3/2) x √7600 / 10

adjacent = √5700 / 5

Now that we know the length of the opposite and adjacent sides, we can use the Pythagorean theorem to find the length of the missing side:

x^2 = (opposite)^2 + (adjacent)^2

x^2 = (√1900 / 5)^2 + (√5700 / 5)^2 \

x^2 = 1900/25 + 5700/25

x^2 = 760/5

x = √(760/5)

x = √(152)

x = 2√38

Therefore, the length of side x in simplest radical form with a rational denominator is 2√38.

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Answer:

a : 4

Step-by-step explanation:

56*10^4 = 56*10000=560000

Answer: 4.8576 × 10^19 cubic feet of water.

Step-by-step explanation:

330m * 147.2b = 48 quintillion feet.

Answer:

5 x 10^19 ft^3

Step-by-step explanation:

Answer:0.714 not sure exactly  if i need to simplify, mullitiply,  or divide.

Step-by-step explanation:

Answer:

p - 3

Step-by-step explanation:

"fewer than" means subtract from, in this case 3, from an unknown number represented by p

The expression represents the phrase: “3 fewer than a number, p" is

(p-3).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

Statement - “3 fewer than a number, p”

We know that the symbol for fewer would subtraction.

Then, the mathematical expression for 3 fewer than a number, p is

= (p - 3)

Thus, the required expression is (p-3).

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

The two triangles are congruent since they have equal angles and equal sides.

Congruent triangles are two triangles that have exactly the same size and shape.

In other words we can say that they have the same angles and the same side lengths.

So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.

For the given triangles

The missing value of angle C = 180 - (18 + 110) = 52⁰

The missing value of angle F = 180 - (18 + 52) = 110⁰

So it is obvious that the two triangles are congruent since they have equal angles and equal sides.

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An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

A piece of material measures 38 inches.

Courtney cuts the piece of material into two pieces.

One piece measures 19 inches.

Let x be the length of other pieces.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x

Therefore, 19 + x = 38 is an addition equation.

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Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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Answer:

it a 26.64 units. hope it helps

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

\(\huge{ \boxed{ \sf{No}}}\)

✑ Question :

No , it's not a function.

✎ Reason :

This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.

♨ Explore about function :

↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.

Hope I helped!

Have a wonderful day ! ツ

~\(\sf{TheAnimeGirl}\) ♡

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Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

-3/4+3/4+1/4=0.25

but, you asked for it in a mixed number which would be 1/4

Step-by-step explanation:

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

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Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

0.624

Step-by-step explanation:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 45: 1, 3, 5, 9, 15, 45

The common factors between the two numbers are 1, 3, 5, 15.

Hope this helps!

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

Step-by-step explanation:

7/4

Answer:

Approximately 1.77

To solve it I used a scientific calculator

Answer:The square root of Pi is approximately 1.77245.

Step-by-step explanation:

i hope i got it rigth ....

The expanded and simplified form of the expression (x + 5)(x - 1) is  x² - x + 5x - 5.

Given the expression in the question;

(x + 5)(x - 1)

To expand and simplify the expression (x+5)(x-1),

we use the distributive property:

(x + 5)(x - 1)

x(x - 1) + 5(x - 1)

Now we can simplify each term by using the distributive property again:

x(x - 1) = x² - x

5(x - 1) = 5x - 5

Putting these terms back together, we have:

(x+5)(x-1) = x² - x + 5x - 5

Combining like terms, we get:

(x+5)(x-1) = x² + 4x - 5

Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.

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The total length of the two sides, 1 and 2, of the triangle is 15x2 − 6x + 1. This can be shown by adding the two polynomials side by side.

Part A:

The total length of the two sides, 1 and 2, of the triangle is 15x2 − 6x + 1. This can be shown by adding the two polynomials side by side.8x2 − 5x − 2 + 7x − x2 + 3 =5 ,8x2 + 7x − 5x − x2 − 2 + 3 =15x2 − 6x + 1Part B:

The length of the third side of the triangle is 15x2 − 6x + 1, which is the same as the total length of the two sides in Part A. This can be shown by subtracting the two polynomials side by side.

15x2 − 6x + 1 − (8x2 − 5x − 2 + 7x − x2 + 3) =

15x2 − 6x + 1 − (8x2 + 7x − 5x − x2 − 2 + 3) =

15x2 − 6x + 1 − 15x2 + 6x − 1 = 0Part C:

Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction. This can be seen by the fact that the total length of the two sides of the triangle is the same as the length of the third side of the triangle, which is 15x2 − 6x + 1. This means that when the two polynomials are added or subtracted, the resulting polynomial is the same regardless of the order in which they are added or subtracted. This is a sign that the polynomials are closed under addition and subtraction.

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Of the 400 students, 120 students like to drink coffee, 80 students like to drink tea, 160 students like both and 40 students do not like any of these drinks.

Cofee: 70% of 400 = 280 students

Tea: 60% of 400 = 240 students

None: 10% of 400= 40 students

This means that 360 students like coffee, tea or both.

280 + 240 (students who drink either coffe or tea)= 520 - 360 (real number of students who like coffee or tea) = 160 (students who like both coffee and tea.

Moreover, it can be inferred 80 students like tea and 120 studetns like coffee.

Outside the sets 40 students who do not like any of the drinks.

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This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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Answer:6 hours and 50 minutes

Step-by-step explanation: