Thor travels 49 miles per hour. How long does it take him to travel 294 miles? Your answer should be in Miles, accurate to at least the nearest tenth.

Based on the angle relationship, the missing measures are:

m∠2 = 65°; m∠8 = 65°; m∠4 = 65°; m∠7 = 115°; m∠5 = 115°; m∠3 = 115°; m∠3 = 115°; m∠1 = 115°.

The angles formed on two parallel lines that are intersected by a transversal have angle relationship which means that angle pairs can either be congruent or supplementary depending on the angle relationship that is formed.

m∠2 = 65° [corresponding angles are congruent]

m∠8 = 65° [vertical angles are congruent]

m∠4 = 65° [alternate exterior angles are congruent]

m∠7 = 180 - 65 = 115° [linear pair angles are supplementary]

m∠5 = m∠7 = 115° [vertical angles]

m∠3 = m∠5 = 115° [alternate interior angles are congruent]

m∠3 = m∠7 = 115° [corresponding angles]

m∠1 = m∠7 = 115° [alternate exterior angles]

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Answer:

Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.

#1 Congruent Angle

#2 Congruent Sides

#3 Side Angle Side

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer:

5670 usd

Step-by-step explanation:

27000×0.21=5670

Answer:

$ 200

Step-by-step explanation:

$ per ticket   =   $ 120 / 3 tix

Price for 5     $120 / 3 tix  * 5 tix = $ 200

9514 1404 393

Answer:

  see attached

  (x, y) = (8, 4)

Step-by-step explanation:

The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.

  x + y = 12 . . . . . total number of shots

  x + 2y = 16 . . . . total number of points

__

These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.

The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.

Answer:

the answer is (x, y) = (8, 4)

Answer:

0.0066%

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

becouse is the rii asewei feel mw

Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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Step-by-step explanation:

Given:

\(z = 23x\sqrt{y}\)

\(\dfrac{\partial z}{\partial x} = 23\sqrt{y}\)

\(\dfrac{\partial z}{\partial y} =23x\left(\frac{1}{2}x^{-\frac{1}{2}}\right) = \dfrac{23x}{2\sqrt{y}}\)

Answer:

=

6

=

0

Step-by-step explanation:

The solution to the quadratic equation (x - 2)(x - 4) = 8 are 0 and 6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A quadratic equation (x - 2)(x - 4) = 8.

∴ x² - 4x - 2x + 8 = 8.

x² - 6x = 0.

x(x - 6) = 0.

So, x = 0 Or x - 6 = 0 ⇒ x = 6.

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The resulting expression using the distributive property of multiplication over subtraction is 3(12) - 3(10).

The distributive property of binary operations extends the distributive law, which states that in elementary algebra, equality is always true.

For instance, given the expression;

A(B - C)

We will have to distribute A over B and C to have;

A(B - C) = AB - AC

Applying the rule to the given expression

3 (12 - 10)

3(12) - 3(10)

This shows that the given expression can also be written as 3(12) - 3(10)

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9514 1404 393

Answer:

  343π/6 cm³ ≈ 179.6 cm³

Step-by-step explanation:

The formula for the volume of a sphere is one of the volume formulas worth memorizing. It is ...

  V = (4/3)πr³

For r = 3.5 cm, the volume is ...

  V = (4/3)π(3.5 cm)³ = 343π/6 cm³ ≈ 179.6 cm³

The volume of air in the balloon is about 179.6 cm³.

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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Answer:

x = 5

m∡B = 66°

Step-by-step explanation:

these two angles are same-side interior angles, which are supplementary

8x + 74 + 2x + 56 = 180

10x + 130 = 180

10x = 50

x = 5

m∡B = 2(5) + 56 = 66°

Answer:

0.185

Step-by-step explanation:

Please mark as brainliest

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

The value of the unit digit 8433165483 x 946621539 x 5514381138 will be6.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

For getting a number, we will first multiply each digit by its position and then;

8433165483 x 946621539 x 5514381138

Which is;

3 x 9 x 8

= 27 x 8 = 216

Therefore, the unit digit number will be 6.

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Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that \(n = 48\)

The probability that any integrated circuit is defective is 0.01.

This means that \(p = 0.01\)

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173\)

0.6173 = 61.73% probability that the product operates.

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer: 45

Step-by-step explanation:

The total profit in all was \(1040-900=\$ 140\).

The total profit per pizza was \((0.50)(8)=\$4\).

This means they sold \(\frac{140}{4}=35\) pizzas.

Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.

Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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Answer:

2

Step-by-step explanation:

first nomber,

19247

second nomber,

7429

third nomber,

924

fourth nomber,

42

fifth nomber,

2

Answer:

2

Step-by-step explanation:

no. 1 is 19247

no. 2 is 7429 ,so the last four number of 19247 are reply

no. 3 is 924 ,so the last three number of 7429 are reply

no. 4 is 42 ,so the last two number of 924 are reply

no. 5 is 2,so, the last number of 42 are reply

\(\large\huge\red{\sf{➡ANSWER ⤵}}\)

☁️ Answer ☁️

Inequality Form:

b < −2

❤️

Interval Notation:

(− ∞, −2)

Hope it helps.

Explanation: Have a nice day!~ ￣▽￣

Answer:

b < -2

Step-by-step explanation:

-3 (4b + 7) > 3

-12b -21 > 3

-12b > 3 + 21

-12b > 24

b < 24/-12

b < -2

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

Answer:

a

Step-by-step explanation: