Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
6-inch apothem
A = sq. in.

Answer:

Step-by-step explanation:

You subtract 310 from 25 and get 285 then you multiply 285 x 21 and I believe that should solve this equation.

To find the value of 'y' when 'x' equals 21 in this equation, we substitute 21 for 'x', perform the multiplication 25*21 first, and then subtract this result from 310, yielding a 'y' value of -215.

This question pertains to the mathematical equation y=310-25x. To find the value of 'y' when 'x' equals 21, we simply substitute 21 for 'x' in the equation. So, y = 310 - 25*(21). Multiplication happens first (due to the order of operations), yielding 525. When you subtract this from 310 (310-525), you get -215. Therefore, the value of 'y' when 'x' is 21 in this equation is -215.

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It is D.) 237 and 2/3... glad I was able to help!

2852/12 is ———————> (A) 237

Answer:

The expression is equivalent to x^2-17x-60 would be (x - 20)(x + 3)

Step-1 : Multiply the coefficient of the first term by the constant   1 • -60 = -60 

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -17 .

-60+1= -59

-30+2= -28

-20+3= -17

Final (x + 3) • (x - 20)

Using the Empirical Rule, it is found that the percent best represents the probability that any student scored between 61 and 93 on the test is of:

B. 95%.

It states that, for a normally distributed random variable:

In this problem, the mean is of 77 while the standard deviation is of 8, hence scores between 61 and 93 are exactly 2 standard deviations from the mean, hence 95% of the students scored in this range, and option B is correct.

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Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Rationalise the denominator by multiplying both the numerator and denominator by the radical on the denominator, that is

[tex]\frac{32}{\sqrt{8} }[/tex]

= [tex]\frac{32\sqrt{8} }{8 }[/tex] → ([tex]\sqrt{8}[/tex])² = 8

= [tex]\frac{32\sqrt{4(2)} }{8}[/tex]

= 4× 2[tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex]

My answer would be 8.. I may not be correct, but I tried. So, I placed the numbers from least to greatest and split it 1’s and 2’s VS 3’s and 4’s. I just added 1 plus 2 plus 2 and a half plus 2 and a half and got 8. I also added (3+3+3)+3 and a half plus 3

Answer:

Base #2

Step-by-step explanation:

For this question, we need to find the base that's volume is a factor of 60.

Base #1 Volume = 7 * 3 or 21

21 is not a factor of 60, so it cannot be the base.

Base #2 Volume = 5 * 3 or 15

15 is a factor of 60, so it is the base.

Answer: I think it's base 4. Don't rely on me, 'cause I can't understand this right now.

Answer:

249/10 = x, or x = 24.9

Step-by-step explanation:

25 1/2 × 5 –3 = 5 x  should be written as  25 1/2 × 5 –3 = 5x

The goal here is to solve for x (you should state this specifically).

Start by multiplying 25  1/2 by 5, since we must multiply before addition or subtraction:

One way of doing this multiplication is to multiply 25 by 5 and then 1/2 by 5 and then summing up the results:

25×5 = 125, and 1/2 × 5 = 5/2, so the end result is:

125  + 5/2, or 125 + 2  1/2, or  127 1/2.

Next, subtract 3 from this result:

127  1/2 - 3 = 124  1/2

Then 124  1/2 = 5x.  Solve for x.  Converting 124  1/2 into an improper fraction:

249/2 = 5x.  Dividing both sides by 5, we get:

249/10 = x, or x = 24.9

Answer:

[tex]\large\boxed{x>-25}[/tex]

Step-by-step explanation:

[tex]-\dfrac{3}{10}x-7<\dfrac{1}{2}\qquad\text{multiply both sides by 10}\\\\10\!\!\!\!\!\diagup^1\cdot\left(-\dfrac{3}{10\!\!\!\!\!\diagup_1}x\right)-(10)(7)<10\!\!\!\!\!\diagup^5\cdot\dfrac{1}{2\!\!\!\!\diagup_1}\\\\-3x-70<5\qquad\text{add 70 to both sides}\\\\-3x<75\qquad\text{change the signs}\\\\3x>-75\qquad\text{divide both sides by 3}\\\\x>-25[/tex]

In this situation of selling two properties for the same price but with different gain and loss percentages, the real estate agent does not break even but incurs an overall loss of 6.25%.

This is essentially a problem in profit and loss calculations in the domain of Mathematics. Since the selling price of both the sites is the same, the loss and gain percent will cancel out each other, resulting in no overall gain or loss. Here's why:

The total cost price is Rs. 14400 + Rs. 24000 = Rs. 38400 and the total selling price is Rs. 18000 + Rs. 18000 = Rs. 36000. So, the real estate agent has incurred an overall loss. To find the percentage of loss, use the formula face: [(Loss) / (Cost Price)] * 100 = [(Rs. 38400 - Rs. 36000) / Rs. 38400] * 100 = 6.25% loss.

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If you would like to show the questions to us, would be fine!

Answer:

Step-by-step explanation:

This is a course specific question. What I think is a postulate may not be listed in your lesson. A postulate is a statement that is assumed to be true. There has not been an exception found in over 2000 years. A postulate does not require proof: its truth is accepted.

Example: Two points on the same plane have exactly 1 line that can go through them.

Theorem: using the postulates to begin with, a theorem is a statement that can (and should) be proved.

Example: Two lines that are on the same plane, if they intersect at all, intersect only once.

a^2 + b^2 = c^2

This well known theorem can be proved well over 100 ways.

In geometry, a postulate is an accepted statement without proof that serves as a fundamental assumption, while a theorem is a proven statement based on previously established postulates, theorems, and definitions.

An example of a postulate is the "Parallel Postulate," and an example of a theorem is the "Pythagorean Theorem."

To find the difference between a postulate and a theorem

Now,

A postulate is a statement that is accepted without proof and serves as a fundamental assumption. It provides the basis for building geometric reasoning.

An example of a postulate is the "Parallel Postulate," which states that if a line intersects two other lines forming congruent alternate interior angles, then the two lines are parallel.

On the other hand, a theorem is a statement that has been proven based on previously established postulates, theorems, and definitions.

An example of a theorem is the "Pythagorean Theorem," which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, while postulates are accepted as true without proof, theorems are derived from logical deductions and require proof.

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              The value is:

                      -4

We are asked to find the value of the ceiling function: [tex]\left \lceil -4.6 \right \rceil[/tex]

As we know that the ceiling function always occupy the higher value in integers.

i.e. the ceiling function act as follows:

it takes value 0 when   -1< x≤0

                       1 when  0 < x ≤ 1

                       2 when  1 < x ≤2

and so on.

As we know that:

            -4.6 lie between -5 and -4.

            Hence, we have:

            [tex]\left \lceil -4.6 \right \rceil=-4[/tex]

Answer:  -4

Step-by-step explanation:

The ceiling function (also known as the least integer function) is written as

[tex]f(x) = [x][/tex]

It gives the smallest integer greater than or equal to x .

For example : [5.6]=6

or [-1.9]= -1   [∵- 1 > -1.9 ]

To find : The value of [-4.6]

Clearly ,  [-4.6] is written in ceiling function notation.

Then,  [-4.6]  = smallest integer greater than or equal to -4.6

= -4              [∵ -4>-4.6]

Hence, the value of [-4.6] = -4

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The answer is 9x10 to the positive 16 power

The sum of the given equation in the scientific notation should be [tex]9 \times 10^{16}[/tex]

Here we Move the decimal due to this there is one non-zero digit to the left of the decimal point. In the case when the decimal is being moved to the right, so the exponent will be negative and vice versa.

So,

[tex]= (2 \times 10^{16}) + (7 \times 10^{16}) = 9 \times 10^{16}[/tex]

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Answer:

I think it is a but it is hard to see

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

Given the triangle is right, then use Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

The hypotenuse is 5, hence

5² = 4² + b² OR 4² + b² = 5²

Answer:

Option C (Median: 347 and Mode: 347 and 348)

Step-by-step explanation:

Median is the middle point of the data and mode is the most repeated observation is the data. The first step involved in calculating the median it to list the observations in the ascending order. This gives:

335, 336, 337, 338, 339, 340, 347, 347, 348, 348, 356, 357, 358, 359

The second step is to identify the middle number (in case the observations are in odd numbers) or numbers (in case the observations are in even numbers) after the ascending order step has been done. It can be observed that the middle numbers in this data set are 347 and 347. Since there are two numbers, so their average will be the median of this data set. Therefore, the median is 347. It can be seen that maximum repetitions are 2 times for 347 and 348. So the mode is 347 and 348.

Therefore, Option C is the correct answer!!!

The correct option is c: Median: 347, Mode: 347 AND 348. This is determined by sorting the numbers and finding that 347 is the median and both 347 and 348 are the modes.

This question involves identifying measures of central tendency, specifically the median and the mode, from a list of numbers.

To determine the correct answer, we proceed step-by-step to calculate the median and mode from the provided sequence: 359, 357, 348, 347, 337, 347, 340, 335, 338, 348, 339, 356, 336, 358.

Step 1: Sorting the List
The sorted list is: 335, 336, 337, 338, 339, 340, 347, 347, 348, 348, 356, 357, 358, 359

Step 2: Finding the Median
The median is the middle value of a sorted list. For a list of 14 numbers, it is the average of the 7th and 8th values:
Median = (347 + 347) / 2 = 347

Step 3: Finding the Mode
The mode is the number that appears most frequently. Here, 347 and 348 each appear twice.
Mode = 347 and 348

Based on these calculations, the correct option is Option c: Median: 347, Mode: 347 AND 348.

Answer:

So like terms are terms that have the same VARIABLE...

Step-by-step explanation:

So 2n + 3n is 5n and you can do that because they are like terms. you only need like terms for adding and subtracting

multiplying: 2n * 3n^2 = 6n^3

hope this helps!

Answer:

Step-by-step explanation:

start with 35 and add 1 repeatedly.

y=x+1 for ex, y= 35+ 1 and so on

Answer:

45 m

Step-by-step explanation:

The height at time of launch is at x = 0

Substitute x = 0 into f(x)

f(0) = - 5(0 + 1)(0 - 9) = - 5(1)(- 9) = 45 m

Answer:

Option A) 0.02

Step-by-step explanation:

The probability p that one of the questions is correct is

[tex]P = \frac{1}{4}[/tex]

The number of questions that will answer (number of trials) is [tex]n = 3[/tex].

We want to find out the probability that [tex]x = 3[/tex] three questions will be answered correctly.

To calculate this probability we use the binomial formula:

[tex]P(x) = \frac{n!}{x!(n-x)!} p^x(1-p)^{n-x}[/tex]

Where

[tex]x=3\\n=3\\p=0.25[/tex]

Then:

[tex]P(x=3) = \frac{3!}{3!(3-3)!} 0.25^3(1-0.25)^{3-3}[/tex]

[tex]P(3) =0.25^3[/tex]

[tex]P(3) = 0.0156[/tex]

P(3) = 0.0156≈0.02

Answer:

19.4

Step-by-step explanation:

40^2=35^2+b^2

(Pythagorean Theorem)

b^2=375

b=19.4

The x-coordinates of points P and Q, where lines y=2x+8 and y=2x-12 intersect the x-axis, are -4 and 6 respectively. Therefore, the distance between them, PQ, is 10 units.

The two given lines are y = 2x + 8 and y = 2x - 12. These lines intersect the x-axis when y = 0. Setting y=0 in these two equations, we find the x co-ordinates of the intersection points P and Q.

For y = 2x + 8, solving 2x + 8 = 0 gives x = -4. Hence, Point P is at (-4,0).

Similarly, for y = 2x - 12, solving 2x - 12 = 0 gives x = 6. Hence, Point Q is at (6,0).

The distance PQ can then be calculated using the distance formula: "PQ = |Q - P| = |6 - (-4)| = 10 units".

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Answer:

 11 13/15

Step-by-step explanation:

-3 2/3+b = 8 1/5

Add 3 2/3 to each side

-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3

b = 8 1/5 + 3 2/3

We need to get a common denominator of 15

8 1/5 = 8 3/15

3 2/3 = 3 10/15

           ----------------

             11 13/15

Answer:

[tex]\large\boxed{4x+6y^3}[/tex]

Step-by-step explanation:

[tex]2x+x+x+2y\times3y\times y\\\\=(2x+x+x)+(2y\times3y\times y)\\\\=4x+(2\times3)(y\times y\times y)\\\\=4x+6y^3[/tex]

Answer: Last Option

[tex]x=2,\ y=-5[/tex]

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

[tex]x =\frac{Det(A_X)}{Det(A)}[/tex]

[tex]y =\frac{Det(A_Y)}{Det(A)}[/tex]

For this problem we know that:

[tex]Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|[/tex]

Solving we have:

[tex]|A|= 4*(-2) -(-6)*8\\\\|A|=40[/tex]

[tex]Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|[/tex]

Solving we have:

[tex]|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80[/tex]

[tex]Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|[/tex]

Solving we have:

[tex]|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200[/tex]

Finally

[tex]x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2[/tex]

[tex]y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5[/tex]

The shape of the resulting two-dimensional cross section is a . A right rectangular pyramid.

The trapezoid is a quadrilateral with one pair of opposite sides that are parallel. These are sometimes classified as having at most one pair of opposite sides parallel, and sometimes as containing one pair of different sides parallel.

This trapezoid limits the goaltender's ability to play the puck by giving them a small amount of space behind the goal line.

It was trapezoidal when we slice the pyramid, we obtain two shapes: a triangle and a trapezoid.

Trapezoidal is the appropriate two-dimensional shape.

a triangle

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The resulting two-dimensional cross section of a right rectangular pyramid sliced through its vertex and perpendicular to its base is a triangle.

The shape of the resulting two-dimensional cross section is a triangle.

When a right rectangular pyramid is sliced through its vertex and perpendicular to its base, the resulting cross section will be a triangle. This is because the cut passes through the top vertex of the pyramid and intersects all the edges of the base, forming a triangle shape.

For example, if the base of the pyramid is a rectangle, the resulting cross section will be an isosceles triangle with its top vertex at the center of the rectangle's longer side.

Answer:

22 feet²

Step-by-step explanation:

We are given:

height of tree h = 45 inches

Circumference= πd × inches

But d = 22.2inches

Therefore area will be

Area = 22.2π × 45 inches²

Area = 3137 inches²

Let's convert from inches² to feet², we have:

1 foot = 12 inches.

Therefore,

1 square foot = 1foot × 1foot = 12inches×12inches

= 3137inches² / 144 inches²

= 22feet²

Note: I attached missing data which states that diameter at year 13 is 22.2inches

To calculate the square footage of the tree wrap needed, we multiply the circumference of the tree trunk by the desired height. Assuming the tree trunk is cylindrical, we use the formula for the circumference of a circle: C = 2πr. Then, we convert the height to feet and calculate the square footage.

To calculate the square footage of the tree wrap needed, we need to find the circumference of the tree trunk and multiply it by the desired height. Assuming the tree trunk is cylindrical, we can use the formula for the circumference of a circle: C = 2πr. We can then multiply the circumference by the desired height to get the square footage. Since we know the height is 45 inches, we need to convert it to feet by dividing by 12. Let's say the circumference of the tree trunk is 10 feet. The square footage of the tree wrap needed would be C * H = (2πr) * H = (2π * 5) * 3.75 = 47.12 square feet (rounded to the nearest square foot).

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I believe it would be C

Answer:

C. measurement of one angle and length of one side.

Step-by-step explanation:

A rhombus is a parallelogram with four sides of equal length and two different pairs of angles. Hence, the measurement of one angle and length of one side is need to construct a rhombus. The right answer is C.

Answer:

Final answer is $12696.

Step-by-step explanation:

Given that initial amount P = $28000

Interest rate r = 5.8% = 0.058

Time = 1 year

Then future value is given by :

[tex]A=P\left(1+r\right)^t[/tex]

[tex]A=28000\left(1+0.058\right)^1=29624[/tex]

Similarly calculate future value for 2nd case:

Given that initial amount P = $16000

Interest rate r = 5.8% = 0.058

Time = 1 year

Then future value is given by :

[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]

[tex]A=16000\left(1+0.058\right)^1=16928[/tex]

then difference = 29624 - 16928 = 12696

Hence final answer is $12696.

Answer:

$696.

Step-by-step explanation:

We are asked to find the amount of interest earned on $28,000 than $16,000 with APYs of 5.8% for a year.

We will use simple interest formula to solve our given problem.

[tex]I=Prt[/tex]

[tex]I[/tex] = Amount of interest,

P = Principal amount,

r = Interest rate in decimal form,

t = Time in years.

[tex]5.8\%=\frac{5.8}{100}=0.058[/tex]

Let us find difference of interests as:

[tex]\$28,000\times 0.058-\$16,000\times 0.058[/tex]

[tex](\$28,000-\$16,000)\times 0.058[/tex]

[tex](\$12,000)\times 0.058[/tex]

[tex]\$696[/tex]

Therefore, it will earn $696 more in interest.

Answer: The greatest distance, in feet is the first one 3ft.

Answer: 3 feet

Step-by-step explanation:

Given: The blueprints for a police station show that one of the lamp posts has a motion detector on it, and that the equation describes the boundary within which motion can be sensed. :

[tex](x+14)^2+(y-6)^2=9[/tex] → which is a equation of a CIRCLE.

When we compare it to the standard form of equation of circle i.e. [tex](x-(-14))^2+(y-6)^2=3^2[/tex] , we get the radius of the circle = 3

Consider the lamp post as the center of the area covered by the detector.

Then the greatest distance a person could be from the lamp and be detected = Radius of the circular area

=3 feet.