Apply the Pythagorean Theorem to find the distance between points A and B.
A)
11
units
B)
50
units
C)
61
units
D)
72
units

Put the value of x = 6 to the eqpression 5x² + x - 7:

5(6)² + 6 - 7 = 5(36) + 6 - 7 = 180 + 6 - 7 = 179

Answer:

BC =10

AC = 13.661

Step-by-step explanation:

We can use the law of sines to solve this problem

sin C         sin B       sin A

---------- = ----------  = ---------

AB              AC          BC

Lets substitute in what we know

sin 30        sin B       sin 45

---------- = ----------  = ---------

5sqrt(2)       AC          BC

We can calculate angle B because all three angles have to add to 180

A+B+C = 180

45+B + 30 = 180

75+B=180

Subtract 75 from each side

75-75+B=180-75

B =105

sin 30        sin 105       sin 45

---------- = ----------  = ---------

5sqrt(2)       AC          BC

Using cross products and the first and third columns

BC sin 30 = 5 sqrt (2) sin 45

BC * .5 = 5 sqrt(2) * 1/2 sqrt(2)

1/2 BC = 5

Multiply by 2

2*1/2 BC = 5 *2

BC =10

Using cross products and the first and second columns

BC sin 30 = 5 sqrt (2) sin 105

sin 105 is really ugly as an exact answer

.5 AC  = 5 sqrt(2) .966

Divide by .5

AC = 5 sqrt(2) .966/.5

AC = 13.661

Answer:

BC = 10

AC = 13.66

Step-by-step explanation:

Remark

Both sides are found using the law of sines

Formula BC

Sin(45)/BC = Sin(30)/(5√2)

Solution for BC

Sin(30) = 0.5

Sin(45) = √2 / 2

Solution for AC

Answer:

Its A.

Step-by-step explanation:

Because, I have the same question for my test online and the greater than sign with out the under marking is correct.

Answer:

Step-by-step explanation:

it looks like an isosceles triangle, but is an equilateral triangle, 3 equal sides and 3 equal angles, you have the value of 120°, and the interior angle is 60° (180 - 120 = 60°), this angle is equal to angle y.

y = 60*

the sum of the interior angles of a triangle is 180°

180 - 60 - 60 = 60°

x = 60°

Answer:

Step-by-step explanation:

24

To simplify the given expression, subtract the terms in the numerator, and then simplify the terms in the denominator. Finally, divide the numerator by the denominator.

To perform the indicated operation a-a^4/a^2+a+1, we need to simplify the expression using the order of operations. First, we simplify the terms in the numerator: a - a^4. Then, we simplify the terms in the denominator: a^2 + a + 1. Finally, we divide the simplified numerator by the simplified denominator to get the final answer.

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To perform the given operation, we need to follow the order of operations and simplify the exponents before performing the division, addition, and subtraction.

To perform the indicated operation a - a^4 / a^2 + a + 1, we need to follow the order of operations, which is often remembered using the acronym PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

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Answer:

A. 0.75  

Step-by-step explanation:

The formula for the correlation coefficient r is

[tex]r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}[/tex]

It's easier to use a statistical calculator, but this question probably expects you to do it by hand.

Let’s write a table for easy calculation.

x    y      xy     x²      y²  

15  36   540  225  1296

13  22   286   169   484

12    6     72    144     36

11  20   220    121    400

51 84   1118   659   2216

(Σx)² = 2601

(Σy)² = 7056

[tex]r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}[/tex]

[tex]r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}[/tex]

[tex]r =\frac{188}{\sqrt{35\times1808}}[/tex]

[tex]r =\frac{188}{\sqrt{63280}}[/tex]

[tex]r =\frac{188}{251.6}[/tex]

r = 0.747

The graph below shows that there is a poor correlation among the points.

Answer:

254

Hope this helps you!!! :)

Answer:

Daisha started her homework at 4:25

Step-by-step explanation:

I first take off the 5 minutes after 5:00 (i will add it back later)

Then i subtract 40 from 60 (60 minutes = 1 hour) and 20 minutes is left.

i then add the 5 minutes to the 20 minutes and get 25 minutes.

Since she had already been doing her homework for 40 min. and was not about to do it, i can say she started at 4:25.

make brainliest please

Step-by-step explanation:

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

The total price of all 5 cars is $35000, calculated by multiplying the mean price ($7000) by the number of cars (5).

The subject of this question is Mathematics, specifically mean and total values. The mean price of the cars is given as $7000. The mean is calculated by dividing the total price by the number of items, in this case, cars. To find the total price, we therefore multiply the mean price by the number of cars. So, $7000 (mean price of each car) times 5 (total cars) equals $35000. Therefore, the total price of all 5 cars is $35000.

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Answer:

x = 17

Step-by-step explanation:

Answer:

Solve the following equation for x.

(x-5)/ 2 = 6 x=17

Answer:

5:3 AND 10:6

Step-by-step explanation:

_________________[tex]Hope this helps! <3[/tex]_____________________________

Answer:18 us liquid quarts =

17.034 liters

Step-by-step explanation:

1 us liquid quart =

0.946 liter

Multiply 0.946 *18 =17.034

Mark me brainliest

Answer:

Your answers is 11.2 OUNCES!

Step-by-step explanation:

Error, Wont let me show work, But the answer is 11.2 OUNCES, I'm positive! :)

The total weight in ounces of the entire packages of Lindsay is 11.2 ounces.

Given data:

Lindsay has two packages which weighs 6.3 ounces and 4.9 ounces respectively.

To find the total weight of the two packages, add the individual weights together.

Package 1 weight: 6.3 ounces

Package 2 weight: 4.9 ounces

Total weight = Package 1 weight + Package 2 weight

On simplifying the equation:

Total weight = 6.3 ounces + 4.9 ounces

Total weight = 11.2 ounces

Hence, the packages weigh together a total of 11.2 ounces.

To learn more about equations:

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[tex]Domain:x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\to \boxed{x=9}\to\boxed{C.}[/tex]

Answer:

Step-by-step explanation:

.4/3.8= 10.52/100

the amount of glycerin in the bar of soap is 10.5263158

Answer:

1.52 oz

Step-by-step explanation:

The glycerin makes up 4/10 of the weight of the soap. Since the soap weighs 3.8 oz. then the glycerin makes up

4/10 * 3.8 = 1.52 oz

Answer:

2/3

Step-by-step explanation:

Given that a six sided die with sides labelled with numbers 1,2,3,4,5 and 6 is rolled once.

Since die is said to be equally likely for each number, die is unbiased

P(1) = P(2)=...=P(6) = 1/6

For a number greater than 2, we must not include 2 and hence numbers can be 3 or 4 or 5 or 6

Probability of rolling a number >2 = Probability of rolling 3 or 4 or 5 or 6

= P(3)+P(4)+P(5)+P(6)

= 1/6+1/6+1/6+1/6

=4/6

=2/3

Required probability = 2/3

The probability of rolling a number greater than 2 on a six-sided die is 2/3. This is because there are 4 numbers greater than 2 on the die and the total number of possible outcomes when the die is rolled is 6.

The subject of this question is probability, a topic in mathematics. To solve this problem, we need to first understand the total possible outcomes when rolling a six-sided die. The outcomes are the numbers 1 through 6, so we have 6 possible outcomes.

To find the probability of rolling a number greater than 2, we need to determine how many outcomes match this condition. The numbers greater than 2 on a six-sided die are 3, 4, 5, and 6. So, there are 4 favorable outcomes.

Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. So, the probability of rolling a number greater than 2 on a six-sided die is 4/6, which simplifies to 2/3.

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Answer:

Question A: The dimensions of the original painting are 42 cm by 126 cm.

Question B: The area of the original painting is [tex]5292cm^2[/tex]

Question C:  The dimensions of the painting in feet are 1.386 ft by 4.158 ft.

Step-by-step explanation:

Question A:

The scale of the copy is

0.5 inches:12 centimeter.

This means that 1 inch on the scale is 24 centimeters.

Therefore the width of the original painting is:

[tex]1.75*24cm=42cm[/tex]

and the height of is:

[tex]5.25*24cm=126cm[/tex]

Therefore the dimension of the original painting are 42 cm by 126 cm.

Question B;

The area of the original painting is just width multiplied by height:

[tex]Area=42cm*126cm=5292cm^2[/tex]

Question C:

We convert the dimensions of the painting from centimeters to feet:

[tex]width=42cm*0.033\frac{feet}{cm} =1.386\:feet.[/tex]

[tex]height=126cm*0.033\frac{feet}{cm} =4.158\:feet.[/tex]

Therefore the dimensions of the original painting in feet are 1.386 ft by 4.158 ft.

Answer:

Step-by-step explanation:

The scale of the copy is 0.5 : 12, which means 0.5 inches of the copy represents 12 centimeters actual.

From the given scale we can deduct that 1 inch equals 24 centimeters.

So, the dimensions of the original are

[tex]1.75 \times 24 =42[/tex]

[tex]5.25 \times 24= 126[/tex]

Therefore, the original painting has dimensions 42 cm by 126 cm. (A)

Notice that the original painting is also rectangular, so its area is

[tex]A_{original}=42 \times 126 = 5,292 cm^{2}[/tex] (B)

Now, if 1 centimeter is equivalen to 0.033 foot, the dimensions of the original painting in feet are

[tex]42 \times 0.033 =1.386 ft\\126 \times 0.033=4.158 ft[/tex]

Therefore, the dimensions in feet are 1.386 feet by 4.158. (C)

Answer:

Hope this helps!

Step-by-step explanation:

y=6x+4 is linear but not proportional because it doesn't have any exponents causing it to be Linear ....it is not proportional  because it is not in y=mx form

y=8x is linear and proportional because it is in y=mx form and doesn't have any exponents

y=x-3 is linear and not proportional because it is not in y=mx form it is not proportional ..... it is linear because it has no exponents  

y=9x^2+1 is not linear and is not  proportional....it is not linear because it has an exponent and not proportional because it is not in y=mx form  

Answer:

shipping and handling is 18.90 dollars

Step-by-step explanation:

percent means "per one hundred", so any percent can be written as a fraction over 100

30% = 30/100 = 0.30

Multiply 0.30 with the price 63 to get 0.30*63 = 18.90, which is the cost of shipping only. This result is added on top of the 63 dollars to get the total cost.

Answer:

18.90

Step-by-step explanation:

We need to figure out the cost of shipping and handling

shipping and handling = original price * percent

                                     = 63* .3

                                     =18.90

Answer:

42 minutes

Step-by-step explanation:

There are 60 minutes in an hour and we want to find 0.7 of that. Of means multiply so we multiply 60 by 0.7 and we get 42 minutes.

Final answer:

To convert the job time of 0.7 hours to minutes for the engine repair job, multiply it by 60, resulting in an approximate job time of 42 minutes.

Explanation:

You have been given an engine repair job that has a job time of 0.7 hour. To find out how many minutes you should allow for the job, convert hours to minutes. Since there are 60 minutes in one hour, you would perform the following calculation:

Multiply 0.7 (hours) by 60 (minutes per hour).

0.7 hour * 60 minutes/hour = 42 minutes

You should therefore allow for approximately 42 minutes to complete the engine repair job.

Answer:

1/35

Step-by-step explanation:

Probability the first prize is a toy car

There are 3 toy cars and 15 prizes.

3/15  = 1/5

Probability the second prize is a toy car

Since we now have a toy car, there are are 2 toy cars left and only  14 prizes.

2/14  = 1/7

We have two events, so we multiply the probabilities.

1/5 * 1/7 = 1/35

The probability of getting 2 toy cars is 1/35

Answer:

I think it is B

Step-by-step explanation:

To solve the algebraic equation '2(n+20)=110', we first divide by 2, yielding 'n+20=55', and then subtract 20 to find 'n=35'. A real-world example could be calculating an initial inventory of items before doubling and adding 20 to reach a target inventory.

The student's question, 'What is a real world problem for 2(n+20)=110?' can be seen as a basic algebra question. To solve for n, we start by dividing both sides of the equation by 2, giving us n+20 = 55. Then we subtract 20 from both sides, which leaves us with n = 35.

A real-world interpretation of this equation could be a scenario where someone has twice the number of objects plus an additional 20 objects, and they want to end up with 110 objects in total. To find out the original number of objects, they would perform the calculations above. In this case, the real-world problem could involve an initial inventory of 35 items that needs to be doubled and then 20 more added to achieve a target inventory of 110 items.

The slope of the given line, determined from the graph and the point-slope form, is -0.5.

The slope of a line is a measure of its steepness. To determine the slope from a graph, you can use the point-slope form and the slope-intercept form of a linear equation.

Given a graph with points (0,1) and (0.5,0), you can calculate the slope as follows:

Use the point-slope form of a linear equation:

(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are points on the line.

Plug in the coordinates of the given points:

(y - 1) / (x - 0) = (0 - 1) / (0.5 - 0)

Simplify:

(y - 1) / x = -1 / 0.5

Further simplify:

2(y - 1) = -x

Rearrange to isolate y:

2y - 2 = -x

2y = -x + 2

y = (-1/2)x + 1

Compare this equation to the slope-intercept form, y = mx + c. In this case, the slope (m) is -1/2, which is equivalent to -0.5.

For more such information on: slope

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The question probable may be:

what is the slope of the line

Point-slope form:

y - y₁ = m(x - x₁)              "m" is the slope

You know:

m = -3

(x₁ , y₁) = (-1, -4)

So you can plug this into the equation:

y - y₁ = m(x - x₁)      

y - (-4) = -3(x - (-1)

y + 4 = -3(x + 1)

Answer:

The period is [tex]\dfrac{10\pi}{9}[/tex] and the amplitude is 3.

Step-by-step explanation:

The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.

The period of the function [tex]y=a\cos (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]

Consider the function [tex]f(t)=3\cos \left(\dfrac{9}{5}t\right).[/tex]

The period for the function [tex]f(t)[/tex] is

[tex]T=\dfrac{2\pi}{\frac{9}{5}}=\dfrac{2\pi}{1}\cdot \dfrac{5}{9}=\dfrac{10\pi}{9}[/tex]

and the amplitude is 3.

The amplitude of the function f(x) = 3cos(9/5 t) is 3, and the period is approximately 3.4907 units of time.

The amplitude of the function f(x) = 3cos(9/5 t) is 3. This is because the amplitude A of a cosinusoidal function of the form x(t) = Acos(wt + φ) is the coefficient in front of the cosine, which describes the peak-to-peak swing of the wave.

The period T of the function can be found using the relationship between angular frequency w and the period T, which is T = 2π/w. Here, the angular frequency w is 9/5. Thus, the period T is 2π × (5/9), which simplifies to approximately 3.4907 units of time.

Answer:

If you mean it's 89 feet, the answer is 415.3333 yards.

If you mean it's 89 yards, the answer is 1246 yards.

Step-by-step explanation:

Multiply 14 and 89 to get the distance of 14 identical cranes.

Since your question had two types of distance,

Feet: Divide by 3 since the conversion of feet to yards is 1/3.

Yards: Don't convert to a mile, as a mile is alot larger, and you will have a small answer.

Hope this helps.

The total length of cable on 14 identical cranes, each with a cable 89 yards long, would be approximately 0.71 miles.

The question you're asking involves measurement conversion and multiplication. If each cable is 89 yards long, and one yard is equivalent to 3 feet, then we first need to convert the length of each cable into feet. Therefore, 89 yards equal to 89*3 = 267 feet. Thereafter, to determine the total length of cable that 14 identical cranes would have, we simply multiply 267 feet by 14, which gives us 3,738 feet.

Bigger unit for feet is in miles, and we know 1 mile is equal to 5,280 feet, so to convert the total feet to miles, you divide the total length in feet by the number of feet in a mile. Hence 3,738 divided by 5,280 equals approximately 0.71 miles.

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