-3, -5
a b
Step by step?

Appraisal is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.

Appraisal refers to the cognitive process through which individuals assess and evaluate the various events, situations, or occurrences that trigger emotional responses within them. It involves the interpretation and analysis of the meaning and significance of these events, which ultimately influences the emotional experience and response. During the appraisal process, individuals assess several key factors, such as the relevance of the event to their goals, the implications and consequences of the event, and the personal significance it holds for them. They also evaluate their ability to cope with or manage the event and consider the potential for future similar events. The appraisal process is subjective and influenced by individual beliefs, values, and previous experiences. Different people may appraise the same event differently, leading to variations in emotional responses.

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Answer:

you could do like 110 length and 80 wide and that will give you a perimeter of 380 which is the same and a area of 8800 which is 400 higher than the original area

Explanation:

The inequality theorem states that the sum of any two sides of a triangle must be grater than the sum of the third side.

We have to try this rule for each option:

• {15, 27, 44}

This cannot represent the sides of a triangle.

• {10, 24, 33}

This set can represent the sides of a triangle.

• {5, 19, 25}

This set cannot represent the sides of a triangle.

• {6, 12, 19}

This set cannot represent the sides of a triangle.

Answer:

The set of numbers that could reprensent the sides of a triangle is {10, 24, 33}

Answer:

Option (4)

Step-by-step explanation:

To solve this problem we will satisfy the polynomials given in the options with the input-output values given in the table.

Lets take a point (4, 40),

Option (1),

f(h) = h² + 4h + 80

40 = 4² + 4(4) + 80

40 = 16 + 16 + 80

40 = 112

False.

Therefore, table doesn't represent the polynomial given in option (1).

Option (2)

f(h) = 5h²- 5h + 13

40 = 5(4)² - 5(4) + 13

40 = 80 - 20 + 13

40 = 73

False.

Therefore, table doesn't represent the polynomial given in option (2).

Option (3)

f(h) = h³ + 50h² + 13

40 = 4³ + 50(4)²+ 13

40 = 64 + 800 + 13

40 = 873

False.

Therefore, table doesn't represent the polynomial given in option (3).

Option (4)

f(h) = 5h³- 50h²+ 13h

40 = 5(4)³ - 50(4)²+ 130(4)

40 = 320 - 800 + 520

40 = 840 - 800

40 = 40

True.

Therefore, given table represents this polynomial.

Option (4) will be the answer.

Using the chain rule, the derivative is given by:

\(\frac{df}{dt} = 4t^3 + 6t^5\)

Suppose we have a function f(x,y), with both x and y functions of a variable t, that is:

x = x(t)

y = y(t)

Hence, the derivative of f as a function of t is given by:

\(\frac{df}{dt} = \frac{df}{dx}\frac{dx}{dt} + \frac{df}{dy}\frac{dy}{dt}\)

In this problem, we have that:

\(f(x,y) = x^2 + y^2\)

\(x(t) = t^2\)

\(y(t) = t^3\)

Hence:

\(\frac{df}{dx} = 2x = 2t^2\)

\(\frac{dx}{dt} = 2t\)

\(\frac{df}{dy} = 2y = 2t^3\)

\(\frac{dy}{dt} = 3t^2\)

Hence:

\(\frac{df}{dt} = \frac{df}{dx}\frac{dx}{dt} + \frac{df}{dy}\frac{dy}{dt}\)

\(\frac{df}{dt} = 2t^2(2t) + 2t^3(3t^2)\)

\(\frac{df}{dt} = 4t^3 + 6t^5\)

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Answer:

If Sharon has 300 channels with her cable service, then her monthly cost is calculated as follows:

300 channels × $0.20 per channel = $60

This means that Sharon's current cable bill is $60 per month. If she switches to Great Vista Satellite, her monthly cost will be $180, which is $120 more than her current bill. This increase in cost can be represented by the equation:

$120 = 300 channels × $0.20 per channel × m

where "m" is the number of months Sharon has to subscribe to the satellite service to break even.

Simplifying the equation, we get:

m = $120 ÷ ($0.20 × 300 channels) = 2

Therefore, Sharon will have to subscribe to the satellite service for 2 months to break even. After that, she will start saving $0.20 per channel per month compared to her cable service.

The measured unknown sides are -

GH = 4.6

QR = 1.3

AB = 15

UW = 41

Two triangles are similar if the ratio of their corresponding sides is same and their corresponding angles are equal.

Given are the triangles as shown in the image.

{ 1 } -

We can write -

GH/HJ = GK/KJ

GH/4.6 = 3.6/3.6

GH = 4.6

{ 2 } -

QT/TS = QR/RS

4.7/4.7 = QR/1.3

QR = 1.3

{ 3 } -

AD/DC = AB/BC

AD/AD = AB/BC

AB/BC = 1

5x/4x + 3 = 1

5x = 4x + 3

x = 3

AB = 15

{ 4 } -

UW/UV = DW/DV

7x + 13 = 9x + 1

3x = 12

x = 4

UW = 41

Therefore, the measured unknown sides are -

GH = 4.6

QR = 1.3

AB = 15

UW = 41

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The gas used and miles are proportional for each scooter.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y = k x

for some constant k , called the constant of proportionality .

Therefore, let's check whether the scooter A and scooter B shows proportional relationships.

Hence,

For scooter A:

y = kx

where

Therefore,

2 = 150 k

k = 2  /150

k = 1 / 75

Hence,

y = 1 / 75 x

From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.

For the Scooter B the graph is also proportional because the ratios of the variables are constant.

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The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.

The function being used is;

f(x) = (x - 3)⁻²

If we separate this function according to x, we obtain;

f'(x) = -2/(x - 3)³

Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.

This suggests that;

0.06 - 0.25 = -2/(c - 3)³ x 6

-0.19 =  -12/(c - 3)³

(c - 3)³ = 63.157

c = 6.98

If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).

But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.

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The complete question is-

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?

Step-by-step explanation:

Hey there!

The given points are;(0,8) and (6,7).

Note: Remember to use two point formula for finding the eqaution which has two points.

Or

You can find Slope through the slope formula and then use one point formula to find eqaution.

Now, let's use here two point formula.

The formula is;

\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)

Now, keep all values.

\((y - 8) = \frac{7 - 8}{6 - 0} ( x - 0) \)

Simplify it.

\((y - 8) = - \frac{1}{6} (x)\)

\(y - 8 = - \frac{1}{6} x\)

\(or \: \frac{1}{6} x + y - 8 = 0\)

Therefore, the eqaution is; (1/6)X + y - 8 = 0.

Hope it helps....

The like term expressions are 3x^4 and 2x^4, 2x^2 and 3x^2 & finally 2x and 3x

Like terms are terms that have the same variable raised to the same power.

For example, in the expression 3x^2 + 4x^2, the terms 3x^2 and 4x^2 are like terms because they both have the variable x raised to the power of 2.

Using the above as a guide, we have the following like terms in the options

3x^4 and 2x^4, 2x^2 and 3x^2 & finally 2x and 3x

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A sample size of at least 1068 to obtain a 95% confidence interval for the proportion of fat in meat that is within 3% of the true value.

To calculate the sample size needed for a 95% confidence interval for the proportion of fat in meat that is within 3% of the true value, we can use the following formula:

\(n = (Z^2 \times p \times (1-p)) / E^2\)

where:

n is the sample size

Z is the Z-score for the desired confidence level (1.96 for a 95% confidence interval)

p is the estimated proportion of fat in the population (we can use 0.5 as a conservative estimate)

E is the maximum allowable margin of error (0.03 in this case)

Substituting the values, we get:

\(n = (1.96^2 \times 0.5 \times (1-0.5)) / 0.03^2\)

n = 1067.11

Rounding up to the nearest whole number, we get a sample size of 1068. Therefore, we need a sample size of at least 1068 to obtain a 95% confidence interval for the proportion of fat in meat that is within 3% of the true value.

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Answer:

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

Step-by-step explanation:

Given that:

Price per yard of satin fabric = $8.09

Yards of satin fabric bought = s

Price per yard of cotton fabric = $3.79

Yards of cotton fabric bought = c

Let,

Y be the total cost.

Y = 8.09s + 3.79c

Hence,

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

Answer:18

Step-by-step explanation:

same as other side 90 degrees

Answer:

5 lollies are left over

Step-by-step explanation:

Total lollies Jordan has = 47

Number of boys at the party = 6

If the lollies are shared equally,

Number of lollies each boy gets = Total lollies ÷ number of boys

= 47 ÷ 6

= 7 lollies remainder 5

That is,

6 boys × 7 lollies each = 42 lollies

How many lollies were leftover.

Remaining lolly = Total lollies - shared lollies

= 47 - 42

= 5 lollies are left over

B. Make a histogram of the data.It can also be used to detect outliers and to compare distributions of different data sets.

A histogram is a type of graph used to visualize the distribution of a given set of data. It is created by plotting the frequency of occurrence of each data point on a graph, with the x-axis representing the data points and the y-axis representing the frequency of occurrence. The height of the bar above each data point indicates how often the value appears in the data set. The shape of the histogram gives an indication of the underlying distribution of the data. By plotting the frequency of occurrence of each data point, a histogram can provide insights into the mean, median, mode, and other characteristics of the data set. It can also be used to detect outliers and to compare distributions of different data sets.

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Answer:

MAD - mean absolute deviation is indication of the distance of data points from the mean.

Data set B shows the greater variability since has greater MAD.

It means the B data set is more spread compared to A data set.

Answer:

yes

Step-by-step explanation:

they both equal to 2 pedestirans: 1 day

Answer: Yes.

Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.

The function f(x) = 3x³ + 5 is neither even nor odd. To determine whether a function is even or odd, you need to check how the function behaves when x is replaced with -x.

To determine whether the given function is even, odd, or neither, we need to check the following conditions:

Even function: If f(-x) = f(x) for all x in the domain of f, then the function is even.

Odd function: If f(-x) = -f(x) for all x in the domain of f, then the function is odd.

Let's check these conditions for the given function:

f(x) = 3x³ + 5

f(-x) = 3(-x)³ + 5 = -3x³ + 5

f(x) = 3x³ + 5

Since f(-x) is not equal to f(x), the function is not even.

f(-x) = 3(-x)^3 + 5 = -3x^3 + 5

-f(x) = -(3x^3 + 5) = -3x^3 - 5

Since f(-x) is not equal to -f(x), the function is not odd.

Therefore, the given function is neither even nor odd.

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All of the following properties listed in the question are properties of indifference curves.

The correct option is option d. None of the above.

A) Higher indifference curves are preferred to lower ones: Indifference curves indicate a consumer's preferences for two goods and illustrate their trade-off between them. The higher the indifference curve, the more of the two goods a consumer is willing to give up for one another.
B) Indifference curves do not cross: Indifference curves are not able to cross because it would imply that the consumer would be indifferent between two combinations of two goods that were previously not equal.
C) Indifference curves are bowed outward: Indifference curves are bowed outward to indicate that, as a consumer's available amount of one good increases, they are willing to give up less of the other good to maintain their desired level of satisfaction.
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Indifference curves represent combinations of two goods that give a consumer the same amount of satisfaction. They are used to analyze consumer behavior in microeconomics.Indifference curves have several characteristics, including:Higher indifference curves are preferred to lower ones: This is a property of indifference curves. When consumers move from a lower indifference curve to a higher one, they obtain a higher level of satisfaction. Indifference curves do not cross: Another property of indifference curves is that they do not intersect. If they intersect, it would imply that the same combination of two goods would give the consumer different levels of satisfaction, which is not possible.Indifference curves are bowed outward: The third property of indifference curves is that they are bowed outward. This means that the slope of the curve is negative, and it gets flatter as we move down the curve from left to right. This property is due to the diminishing marginal rate of substitution. At higher levels of consumption of one good, consumers are willing to give up less of the other good to maintain the same level of satisfaction as they did at lower levels of consumption of that good.None of the above: All of the properties mentioned above are true for indifference curves. Therefore, the correct answer is (d) None of the above.

Correct answer for function f(x) is: x = -√(43/S) for x < 0, and x = -11/2 for x > 0.

We need to analyze the function separately for the cases x < 0 and x > 0.

1. For x < 0, the function is defined as f(x) = Sx². We need to find x such that Sx² = 43.

Sx² = 43
x² = 43/S

Since x < 0, we have x = -√(43/S)

2. For x > 0, the function is defined as f(x) = 10 - 6x. We need to find x such that 10 - 6x = 43.

10 - 6x = 43
-6x = 33
x = -33/6
x = -11/2

Thus, the correct answer is: x = -√(43/S) for x < 0, and x = -11/2 for x > 0.

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Answer:

1. The mean temperature for this sample can be found by adding up the temperatures and dividing by the sample size of 10:

98.6 + 98.5 + 98.8 + 98.2 + 98.1 + 99.0 + 98.3 + 98.5 + 98.9 + 98.7 = 986.6

986.6 / 10 = 98.66

Therefore, the mean temperature for this sample is 98.66 degrees.

2. No, we would not expect to get the exact same value for the sample if we were to take a different random sample of size 10. This is because random sampling means that each sample will be slightly different from each other, and the sample mean will vary based on the particular individuals included in each sample. However, we would expect the sample means to be similar and clustered around the true population mean of 98.6 degrees. The variability of the sample means can be quantified using the standard error of the mean, which is a measure of the average distance that the sample means are from the true population mean. The standard error of the mean decreases as the sample size increases, meaning that larger samples are more likely to provide a more accurate estimate of the population mean.

Step-by-step explanation:

Answer:

well its two

Step-by-step explanation:

but A nonlinear system could be representative of two circles that overlap and intersect in two locations, hence two solutions. A nonlinear system could be representative of a parabola and a circle, where the vertex of the parabola meets the circle and the branches also intersect the circle, hence three solutions.

In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

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

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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The rectangular stainless steel tank should have outer dimensions of approximately 4.87 feet in length, 2.87 feet in width, and 12.87 feet in height to meet the given constraints.

To determine the outer dimensions of the tank, we'll need to find the length, width, and height of the tank based on the given constraints.

Let's assume:

Length of the tank = L (in feet)

Width of the tank = L - 2 (as the width should be 2 feet less than the length)

Height of the tank = L + 8 (as the height should be 8 feet more than the length)

The volume of the tank can be calculated as follows:

Volume = Length * Width * Height

Given that the volume should be 89.58 cubic feet, we have the equation:

89.58 = L * (L - 2) * (L + 8)

Simplifying the equation:

89.58 = L * (L^2 + 6L - 16)

Expanding the equation:

89.58 = L^3 + 6L^2 - 16L

Now, let's solve this equation to find the value of L (length).

Since this is a cubic equation, we'll need to use numerical methods or a calculator to find the value of L. Using a numerical solver, the value of L is approximately 4.87 feet.

Now that we have the length, we can calculate the width and height:

Width = L - 2 ≈ 4.87 - 2 ≈ 2.87 feet

Height = L + 8 ≈ 4.87 + 8 ≈ 12.87 feet

Therefore, the outer dimensions of the tank should be approximately:

Length: 4.87 feet

Width: 2.87 feet

Height: 12.87 feet

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The value of m < 5 would be A. 50.

We are given that m < 1 = 40 °. This means that we can assume that the angles are complimentary in this triangle.

If the angles are complimentary, that means that they add up to 90 degrees. Should that be the case, if m < 1 = 40 °, the m < 5 can be found to be :

= 90 degrees - 40 degrees

= 90 - 40

= 50 degrees

In conclusion, m < 5 would be 50 degrees.

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The full question is:

If m<1=40° , what is m<5

A.50

B.40

C.35

D.25

The tangent vector  → \(r(t)=〈4cos(2t),4sin(2t),5t〉\), normal vector at t=0 is given by →N(0) = 〈-1,0,0〉, and binormal vector at t=0 is given by →\(B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector, normal vector, and binormal vector of the given curve are as follows:

Given curve:

→ \(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0

To find: Tangent vector, the Normal vector, and the Binormal vector (→T, →N and →B) at the point t=0

Tangent vector: To find the tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0,

we need to differentiate the equation of the curve with respect to t.t = 0, we have:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉→r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

Differentiating w.r.t t:→\(r(t) = 〈4cos(2t),4sin(2t),5t〉 → r'(t) = 〈-8sin(2t),8cos(2t),5〉t = 0\),

we have:

→\(r'(0) = 〈-8sin(0),8cos(0),5〉= 〈0,8,5〉\)

Therefore, the tangent vector at t = 0 is given by

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Normal vector:To find the normal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to differentiate the equation of the tangent vector with respect to t.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating w.r.t t:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉t = 0\),

we have:

→\(T'(0) = 〈-16cos(0),-16sin(0),0〉= 〈-16,0,0〉\)

Therefore, the normal vector at t = 0 is given by

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Binormal vector: To find the binormal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to cross-product the equation of the tangent vector and normal vector of the curve.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉\)

The cross product of two vectors:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the binormal vector at t = 0 is given by→B(0) = 〈0, -0.441, -0.898〉

Hence, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are as follows:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The given curve is

→\(r(t)=〈4cos(2t),4sin(2t),5t〉 at the point t=0.\)

We are asked to find the tangent vector, the normal vector, and the binormal vector of the given curve at t=0.

the tangent vector at t=0. To find the tangent vector, we need to differentiate the equation of the curve with respect to t. Then, we can substitute t=0 to find the tangent vector at that point. the equation of the curve Is:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉\)

At t = 0, we have:

→\(r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

We can differentiate this equation with respect to t to get the tangent vector as:

→\(r'(t) = 〈-8sin(2t),8cos(2t),5〉\)

At t=0, the tangent vector is:

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Next, we find the normal vector. To find the normal vector, we need to differentiate the equation of the tangent vector with respect to t. Then, we can substitute t=0 to find the normal vector at that point.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating this equation with respect to t, we get the normal vector as:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉\)

At t=0, the normal vector is:

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Finally, we find the binormal vector. To find the binormal vector, we need to cross-product the equation of the tangent vector and the normal vector of the curve.

At t=0, we can cross product →T(0) and →N(0) to find the binormal vector.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

The normal vector is:

→N(0) = 〈-1,0,0〉Cross product of two vectors →T(0) and →N(0) is given as:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0 is given by →\(T(0) = 〈0.000,0.898,0.441〉.\)

The normal vector at t=0 is given by →N(0) = 〈-1,0,0〉.

The binormal vector at t=0 is given by →B(0) = 〈0, -0.441, -0.898〉.

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Answer:  (1) Deena and Eduardo, (2) (A) or cube root of 343

Step-by-step explanation:

Number 1 : Deena and Eduardo are correct,

16 x 16 = 256

4 x 4 x 4 = 64

Number 2 : (a) the cube  root. of 343 will give Patel the correct answer,

h^3 = 343

cube root of both sides

so, h. = cube root of 343