A ladder is leaning against a building forming a 25-degree angle with the building. If the ladder is 8 feet away from the building, how long is the ladder?

A: About 15 ft.
B: About 7.5 ft.
C: About 9 ft.
D: About 3 ft.

Answer:

2.5i

Step-by-step explanation:

-5/2 = 2.5

+i = 2.5i

Answer:

cube root of 9. the third option

Step-by-step explanation:

x^3 = 9

we take the cube root of both sides.

so x = cube root of 9

The smallest number is 27 and the greater number is 39 when  the smaller number is 15 more than the larger number twice.

Given that,

The smaller number is 15 more than the larger number twice.

We have to find what are the two numbers whose sum is 66.

We know that,

Let x = big number

Let y = small number

x + y = 66---->equation(1)

2y = x + 15---->equation(2)

We have to dins the x and y values

x+(x+15)/2=66

2x+x+15=66×2

3x+15=132

3x=132-15

3x=117

x=117/3

x=39

We take equation 2 and substitute x as 39

2y=x+15

2y=39+15

2y=54

y=54/2

y=27

Therefore, The smallest number is 27 and the greater number is 39 when  the smaller number is 15 more than the larger number twice.

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The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

Answer:

(-1/2 , -3/2)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-2 + 1) / 2 , (-8 + 5) / 2

P: (-1/2 , -3/2)

The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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The company needs to sell at least 50 shirts in a day to cover its fixed costs and break even.

Assuming that the profit function is linear, we can write it in the form:

f(x) = mx + b

where x is the number of shirts sold, m is the profit margin per shirt, and b is the fixed cost (i.e., the profit made when no shirts are sold).

Let's say that the company's fixed cost is $500, and the profit margin per shirt is $10. Then the profit function can be written as:

f(x) = 10x + 500

To find the daily profit the company makes, we need to determine how many shirts the company sells in a day. Let's say that the company sells 100 shirts in a day. Then the daily profit is:

f(100) = 10(100) + 500 = $1,500

So, the company makes a profit of $1,500 when it sells 100 shirts in a day.

If we want to find the number of shirts the company needs to sell to break even (i.e., make zero profit), we can set the profit function equal to zero and solve for x:

0 = 10x + 500

-500 = 10x

x = -50

This means that the company needs to sell at least 50 shirts in a day to cover its fixed costs and break even.

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Step-by-step explanation:

1. (2+4+1)/9 = 7/9

2. 2 1/3 + 2/3 = 2 + (1+2)/3 = 2 + 3/3 = 2+1 = 3

3. 1 1/5 + 2 3/5 = 1+2 + 1/5 + 3/5 = 3 + (1+3)/5 =

3 4/5

4. 5/6 + 2/10 + 1/5 = 5/6 + 1/5 + 1/5 = 5/6 + 2/5

= (5×5)/(6×5) + (2×6)/(5×6)

= 25/30 + 12/30

= (25+12)/30

= 37/30 = 1 7/30

5. 3 1/2 + 4 2/3

= 3+4 + 1/2 + 2/3

= 7 + (1×3)/(2×3) + (2×2)/(3×2)

= 7 + 3/6 + 4/6

= 7 + (3+4)/6 = 7 7/6 = 8 1/6

6. 9/13 - 5/13 = (9-5)/13 = 4/13

7. 7 6/8 - 5 2/8

= (7-5) + (6/8 - 2/8)

= 2 + 4/8

= 2 1/2

8. 2/3 - 3/7

= (2×7)/(3×7) - (3×3)/(7×3)

= 14/21 - 9/21 = (14-9)/21 = 5/21

9. 11 1/5 - 5 4/5

= 10 6/5 - 5 4/5

= (10-5) + (6/5 - 4/5)

= 5 + 2/5 = 5 2/5

10. 15 4/5 - 7 7/10

= (15-7) + (4/5 - 7/10)

= 8 + (4×2)/(5×2) - 7/10

= 8 + 8/10 - 7/10

= 8 + 1/10

= 8 1/10

The cone shaped pile can hold 235.5 feet sand.

What is volume of cone ?

  One-third the sum of the area of the cone's circular base and its height is the formula for a cone's volume. Cones are described as pyramids with circular cross sections in terms of geometric and mathematical ideas. A cone's volume can be quickly determined by measuring the cone's height and radius.

Here radius of cone = 5 feet

Height of cone h = 8 feet 10 inches = 8+1 = 9 feet

Now volume of cone is

=> V = \(\pi r^2\frac{h}{3}\) cubic unit

=> V= 3.14* 25 * 3 = 235.5 cubic feet.

Hence the cone shaped pile can hold 235.5 feet sand.

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\(k = 1.6d\)

\(k = 1.6(665)\)

\(k = 1064\)

The distance is 1064 km.

Answer:

A. 1,064 km

Step-by-step explanation:

1 Mile is 1,6 Kilometers

430 Miles  = 688 Kilometers (430 * 1,6)

665 Miles = 1064 Kilometers (665 * 1,6)

1- 1.6(430)= 688 Km

2. 1.6(665)=1064 Km

Using 1.6 as the consant then 430* 1.6 = 688 Km

655 * 1.6 = 1048Km

if i understand what you need properly, all you do is multiply the miles x 1.6 and you will get k. so 430miles x 1.6 = 688k

and 665miles x 1.6 = 1064k

Answer:

F

Step-by-step explanation:

This is a square if you think about it, but it has the abilities of a rectangle and parallelogram. So it is F.

Answer:

The quantity of oil in the tank is 12,000 liters

Step-by-step explanation:

Firstly, we find the volume of the tank.

The tank is a cuboid, so we find the volume of a cuboid.

Kindly understand that when finding the volume of the cuboid, we shall not use the height of 3m.

This is because the tank is not full but it is to a height of 1.2m

So mathematically, the volume is calculated as follows;

V = l * b * h

where b = 5m , l = 2m and h = 1.2m

Thus the volume would be ;

V = 5 * 2 * 1.2

V = 12 m^3

But that’s not the quantity of oil.

From the question, 1 cubic meters contains 1000 liters of oil

So 12 cubic meter will contain = 12 * 1000 = 12,000 liters of oil

Answer:

The quantity of oil in the tank is 12,000 liters

Step-by-step explanation:

Firstly, we find the volume of the tank.

The tank is a cuboid, so we find the volume of a cuboid.

Kindly understand that when finding the volume of the cuboid, we shall not use the height of 3m.

This is because the tank is not full but it is to a height of 1.2m

Answer:

x= -13

Step-by-step explanation:

-1 -x = 12

+1        +1

-x = 13

-13 = x

I hope this helps :0)

Answer:

x<3 cm²

Step-by-step explanation:

area of square: 4x

area of triangle: 1/2 (4x)=2x

total area: 6x

If the total area is less than 18:

6x<18

x<3

Inequality represents the missing dimension x is x<3.

Given that, the dimensions of the rectangle are length=4 cm and width=x cm.

The dimensions of the triangle are hieght=4 cm and base=x cm.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, the area of a figure> the area of a rectangle + the area of  a triangle

18 cm²>length×width+1/2 × base × height

⇒18 cm²>4×x+1/2 × 4 × x

⇒18>4x+2x

⇒18>6x

⇒x<3

Therefore, inequality represents the missing dimension x is x<3.

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Answer:

Possibly A

Step-by-step explanation:

Answer:

76.93

Step-by-step explanation:

The line draw down as per given dimensions of standard sheet of paper 8.5x11 in then half the width of paper is 4.25 inches long approximately.

Let's consider a standard sheet of paper, which typically has dimensions of 8.5 inches by 11 inches (width by height).

If you draw a straight vertical line down half the width of the paper,

It is essentially drawing a line from the top edge to the bottom edge, dividing the paper into two equal halves.

The width of the paper is 8.5 inches.

When you draw a line down half the width, you are going from one edge to the midpoint.

Since you are going halfway, the length of the line will be half of the width,

which is 8.5 inches divided by 2, resulting in approximately 4.25 inches.

Therefore, the line you draw down half the width of the paper will be approximately 4.25 inches long.

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Answer:

it is tetrahydrocannabinol for number 1 trust me

Step-by-step explanation:

Answer:

lol lots of luck

Step-by-step explanation:

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

v = 7

Step-by-step explanation:

So, I used a go.ogle calculator for this, so I don't evidence, but here

hope this helps:)

Answer:

v=7

Step-by-step explanation:

\(3(3v-4)=51\\9v-12=51\\9v=51+12\\9v=63\\v=\frac{63}{9}\\v=7\)

Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners

Step-by-step explanation:

95% confidence that the true mean of the violent crime rate in Seattle's census tracts lies between 20.43 and 33.69 per 1,000.

In the given study, Rountree and Warner (1999) observed a mean official violent crime rate of 27.06 per 1,000 in 100 census tracts over a two-year period in Seattle, WA. The standard deviation was 33.81. To construct a 95% confidence interval around this mean, we can use the formula:

\(CI = mean ± (Z-score * (standard deviation / √sample size))\)

For a 95% confidence interval, the Z-score is 1.96. The sample size is 100 census tracts. So, we can calculate the interval as follows:

CI = 27.06 ± (1.96 * (33.81 / √100))

CI = 27.06 ± (1.96 * (33.81 / 10))

CI = 27.06 ± (1.96 * 3.381)

CI = 27.06 ± 6.63

The lower bound for this confidence interval is 27.06 - 6.63, which is approximately 20.43. Therefore, we can say with 95% confidence that the true mean of the violent crime rate in Seattle's census tracts lies between 20.43 and 33.69 per 1,000.

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\(\text{If the number is x,}\\\\~~~~10\% \cdot x = 16\\\\\implies \dfrac{10x}{100} = 16\\\\\implies \dfrac x{10} = 16\\\\\implies x = 160\\\\\text{Hence,}~ 5\% \text{ of}~ 160 = \dfrac{5 \times 160}{100}=8\)

The correct answer is (d) Those values of a for which the numerator of the function r is not zero.

For a rational function r(x), the limit of r(x) as x approaches a can be determined by evaluating r(a) if the numerator of the function is not zero. This is because when the numerator is not zero, the limit of the function is defined and equal to the value of the function at that point.

However, if the numerator of the function is zero, then further analysis is required to determine the limit. In this case, the limit may be defined or undefined, depending on the behavior of the function as x approaches the point of interest.

In general, for a rational function, the limit exists and is equal to the value of the function at that point if and only if the numerator of the function is not zero at that point.

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