Estimate the sqaure root of 12.5

Answer:

(0, -10)

If you graph the points and follow where the line would go, then it would hit these coordinates.

Answer:

(0,-10)

Step-by-step explanation:

Answer:

x=-19

Step-by-step explanation:

Answer:

6-x=13

6-13=x

x=6-13

x=-7

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Explanation

We are given a right-angled triangle with the following:

We are required to determine the missing side (i.e. the value of x).

We can achieve this by using the Pythagorean theorem as follows:

Hence, the answer is:

Answer:

It's exactly the same, except the size

Step-by-step explanation:

Answer:

They are similar because if you look at the length of 2 of the sides that you know

Triangle ABC has side length 1 and 2 or 1:2

CFE has sides length 2 and 4 or 2:4 and 2:4 can also be written as \(\frac{2}{4}\) which is a fraction, and fractions can be simplified to 1:2.

So they are similar but just one is bigger then the other.

Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

A 11.544 acre-feet of this ice field will melt from the beginning of day 1 (t = 0) to the beginning of day 4 (t = 3). So, correct option is C.

To solve the problem, we need to integrate the given rate of melting with respect to time over the interval [0,3] to find the total amount of ice that melts during this time.

First, we can simplify the given rate of melting by using the identity: sin³(t) = (3sin(t) - sin(3t))/4

So, M(t) = 4 - (3sin(t) - sin(3t))/4 = 16/4 - 3sin(t)/4 + sin(3t)/4 = 4 - 0.75sin(t) + 0.25sin(3t)

Integrating this expression with respect to t over the interval [0,3], we get:

\(\int\limits^3_0\) M(t) dt = \(\int\limits^3_0\) (4 - 0.75sin(t) + 0.25sin(3t)) dt

= [4t + 0.75cos(t) - (1/3)cos(3t)]|[0,3]

= (12 + 0.75cos(3) - (1/3)cos(9)) - (0 + 0.75cos(0) - (1/3)cos(0))

= 11.544

Therefore, the answer is (C) 11.544.

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Answer:

y= 2/5x+3.6

Step-by-step explanation

used the formula

mark brainlist pls

Answer:

The answer is 9 (D).

Step-by-step explanation:

Hope this helps!

The correct order in greatest to least is A) 5, π, \(\sqrt{2}\), 0.76, -2, 1/2.

Ordering the numbers from greatest to least: 5, π, √2, 0.76, -2, ½

To order the numbers from greatest to least we need to check all the numbers given and then we specify the smallest and largest value corresponding to the given numbers. Also ordering can be done in ascending order from least to greatest value which is increasing order.

If we want to specify the descending order for the given numbers the order of ascending will be totally reversed. Then we will get the numbers from greatest to the least in order which means decreasing order.

Therefore, the answer is (A) 5, π, \(\sqrt{2}\), 0.76, -2, 1/2.

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The probability is a fraction of 43/205 which is approximately 0.2098.

To calculate the probability of the next person who leaves the lecture having gray hair, we need to know the total number of people who left the lecture, as well as the number of people who have gray hair.

From the given data, we can see that there were a total of 50+40+39+33+43 = 205 people who left the lecture. We also know that there were 43 people who had gray hair.

Therefore, the probability of the next person who leaves the lecture having gray hair is:

P(gray hair) = (number of people with gray hair) / (total number of people who left the lecture)

P(gray hair) = 43/205

P(gray hair) ≈ 0.2098

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Answer: it is in absolute value form, so when you take it out the signs would change to 7 + 42 = 49

Step-by-step explanation:

Answer:

90% of confidence interval for the true population of club members who use compost

(0.44424 , 0.45576)

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' =200

Given that the sample proportion

            p = 45% = 0.45

Level of significance = 90% or 10%

Critical value Z₀.₁₀ = 1.645

Step(ii):-

90% of confidence interval for the true population of club members who use compost

\((p^{-} - Z_{0.10} \sqrt{\frac{p(1-p^{-} )}{n} } , p^{-} + Z_{0.10} \sqrt{\frac{p(1-p^{-} )}{n} })\)

\(((0.45 - 1.645\sqrt{\frac{0.45(1-0.45)}{200} } , 0.45 + 1.645\sqrt{\frac{0.45(1-0.45)}{200} })\)

(0.45 - 0.00576 , 0.45 +0.00576)

(0.44424 , 0.45576)

Final answer:-

90% of confidence interval for the true population of club members who use compost

(0.44424 , 0.45576)

Therefore, the area of the figure is 48 square units.

Perimeter is the total distance around the boundary of a two-dimensional shape. It is calculated by adding up the lengths of all the sides of the shape. The perimeter is usually measured in units such as inches, centimeters, or meters, depending on the size of the shape.

To find the perimeter of the figure, we add up the lengths of all the sides:

Given by the question.

Perimeter = 6 + 8 + 10 + 5 = 29

Therefore, the perimeter of the figure is 29 units.

To find the area of the figure, we need to use the formula for the area of a trapezoid, which is:

Area = (1/2) x (sum of parallel sides) x (distance between them)

The distance between the parallel sides is the height of the trapezoid. To find the height, we need to use the Pythagorean theorem, since the trapezoid is a right trapezoid.

\(a^{2}\) + \(b^{2}\)= \(c^{2}\)

where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse.

In this case, a = 6, b = 8, and c = 10. So, we have:

\(6^{2}\) + \(8^{2}\) = \(10^{2}\)

36 + 64 = 100

100 = \(10^{2}\)

Therefore, the height of the trapezoid is:

h = \(\sqrt{c^{2}-b^{2} }\) = \(\sqrt{10^{2}-8^{2} }\)= √36 = 6

Now we can plug in the values for the sum of the parallel sides and the height to get the area:

Area = (1/2) x (6 + 10) x 6 = 48

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Total pizzas = 7

Students = 4

Divide the number of pizzas by the number of students:

total pizzas / total students = 7/4

7/4 of a pizza each

The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

The points are (3, 4) and (-1, -4). Then the equation of the line is given as,

(y + 4) = [(4 + 4) / (3 + 1)](x + 1)

y + 4 = 2(x + 1)

y = 2x + 2 - 2

y = 2x - 2

The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.

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Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

The direction of the vector is - 21.8 N of E , Option B is the answer.

A vector is an object with both magnitude and direction.

A vector is shown in the graph.

To determine the direction , The angle needs to be determined

The slope of the vector will give the direction of the vector

The vector starts from the point (1 , 1)

Another point on the vector (-4 , 3)

slope = -2 /5

It is making angle x with the line y = 1

tan x = -2 /5

x = - 21.8 N of E.

Therefore the direction of the vector is - 21.8 N of E , Option B is the answer.

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Step-by-step explanation:

To find the number that is 175% of 31, we can use the following formula:

175% of X = 31

Mathematically, we can represent 175% as 1.75 (since percentage is a ratio out of 100).

So, the equation becomes:

1.75 * X = 31

To solve for X, we divide both sides of the equation by 1.75:

X = 31 / 1.75

Using a calculator, we can evaluate the right-hand side to find the value of X:

X ≈ 17.714

So, 175% of approximately 17.714 is equal to 31.

Answer:

17.714

Step-by-step explanation:

The expected number of days that Kiran wears matching socks is equal to approximately 1.928 days.

To find the expected number of days that Kiran wears matching socks,

Calculate the probability of wearing matching socks on each day and sum up these probabilities.

Let us consider each day of the week separately.

On the first day, Kiran randomly selects two socks.

The probability of wearing matching socks on the first day is 1, as there is no other pair of socks chosen yet.

On the second day, there are 12 socks remaining in the drawer 2 socks from the first day and 10 remaining pairs.

Kiran selects two socks again, and the probability of wearing matching socks on the second day is 1/11,

As there is only one pair of matching socks among the remaining 11 socks.

Similarly, on the third day, the probability of wearing matching socks is 1/9.

On the fourth day is 1/7, on the fifth day is 1/5, on the sixth day is 1/3, and on the seventh day is 1/1.

Now, let us calculate the expected number of days that Kiran wears matching socks,

E = (1 × 1) + (1/11 × 1) + (1/9 × 1) + (1/7 × 1) + (1/5 × 1) + (1/3 × 1) + (1/1 × 1)

  = 1 + 1/11 + 1/9 + 1/7 + 1/5 + 1/3 + 1/1

  ≈ 1.928

Therefore, the expected number of days that Kiran wears matching socks over the course of the week is approximately 1.928 days.

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The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

1 5/36

Step-by-step explanation:

need a common denominator which would be 36

to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36

do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36

then add 20+21=41

put over 36       41/36

Find if you can lower it which you can:

41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.

Answer:

Feel free to copy and paste:

Use the slope-intercept form to find the slope and y-intercept. To do this, use y=mx+b. Plug the variables where m=1 and b=2. Slope of the line is m and y-intercept is value of b, so the slope is 1 while the y-intercept is (0,2). Any line can be graphed using two points, and using two x values to plug them into the equation to find the corresponding y values: 0=x+2 is (-2,0). Y-intercept is already known, so use the known values and make a table where x= -2,0 and y = 0,2. Now, graph the line using the slope, y-intercept, and known points (-2,0), (0,-2) to plot the graph. Coincidingly, the answer to solve your system of equations will be the x-intercept: (-2,0).

Given :

A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional  $110 per hour for each hour worked over 35 hours per week.

To Find :

A cashier worked 39  hours one week and 37 hours the second week.

Show and explain to the cashier how her salary calculated in this two-week period.

Solution :

Week 1 :

For first 35 hours he will get fixed amount i.e $540.

Now, for next four hours he will get $110 per hour.

So, total salary, T = 540 + (110×(39 - 35)

T = $980

Week 2 :

Total salary, T = 540 + ( 110×( 37 - 35 ))

T = $760

Therefore, salary of two week period is $( 980 + 760 ) = $1740.

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36

Answer:

Property of Symmetry

Step-by-step explanation:

The symmetric property of equality tells us that both sides of an equal sign are equal no matter which side of the equal sign they are on. Remember it states that if x = y, then y = x.

Answer: 90

Step-by-step explanation:

Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees