A square pyramid has a base with a side length of 6 meters. If the
slant height of the pyramid is 5 meters, what is the surface area of the
pyramid?
m²

The numeric value of the expression √7 x√2/√2 is given as follows:

√7.

The expression for this problem is defined as follows:

√7 x√2/√2

For the second factor of the multiplication, we have a fraction in which the numerator and the denominator are the same. As the fraction is equivalent to a division operation, the quotient is of pone, as follows:

√2/√2 = 1.

Then the numeric value of the expression is obtained with the multiplication by 1, as follows:

√7 x 1 = √7.

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Answer:

huh?

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

number of sides (n) = 5

Sum of angles of polygon = (n - 2) *180

                                            = 3 * 180 = 540

9x + 71 + 92 + 5x + 139 = 540

9x +5x + 71 + 92 + 139 = 540

                   14x + 302   = 540

                               14x  = 540 - 302

                                14x = 238

                                    x = 238/14

x = 17

Linear equations involve equalities (i.e., "=") and are used to represent lines in a coordinate plane. Linear inequalities, on the other hand, involve inequalities (i.e., "<", ">", "<=", ">=") and are used to represent regions or areas of a coordinate plane that satisfy certain conditions.

A linear equation can be expressed in the form "y = mx + b," where "m" represents the slope of the line and "b" represents the y-intercept. Given the values of "m" and "b," you can calculate the y-coordinate for any given x-coordinate, and vice versa. The graph of a linear equation is a straight line.

A linear inequality is expressed in the form "y < mx + b," "y > mx + b," "y <= mx + b," or "y >= mx + b." Instead of representing a single line, a linear inequality represents a shaded region on the coordinate plane that satisfies the given condition. To graph a linear inequality, you can choose a test point not on the line and check whether it satisfies the inequality. If it does, shade the region containing the test point; otherwise, shade the other region.

In summary, the main difference between linear equations and linear inequalities is the use of equalities versus inequalities. Linear equations represent lines, while linear inequalities represent shaded regions on the coordinate plane. Equations deal with exact solutions, whereas inequalities deal with a range of possible solutions. Understanding the distinctions between these concepts is important in various areas of mathematics, such as algebra and geometry.

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Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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45x6=270.270 is the total for the friends.However instead you have to do 45x7=315.Because its Leahs friends and LEAH.So now the car.315+10=325.So your answer is 325

Answer: 19.42

Step-by-step explanation:

To find the distance, we need to use the distance formula.

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

With the given points, we can plug them in and solve.

\(d=\sqrt{(7-3)^2+(-11-8)^2}\)          [parenthesis]

\(d=\sqrt{(4)^2+(-19)^2}\)                       [exponent]

\(d=\sqrt{16+361}\)                               [add]

\(d=\sqrt{377}\)                                       [square root]

\(d=19.42\)

Now, we know the distance is 19.42.

Answer:

13=11/3(0)+c

c=13

y=11/3X+13

Step-by-step explanation:

please like and brainliest mee

The value of cos (x + pi) is -✓3/2, based on the stated information and known trigonometric values.

As per the known fact, the value of x wil be 30° as it is the specific value whose cosine or cos is ✓3/2. Now, we also know that π represents 180°. Also, the formula for cos (a + b) is cos A cos B - sin A sin B.

So, cos (x + pi) will be -

cos x cos pi - sin x sin pi

Keeping the values and solving -

cos (x + pi) = cos 30 cos 180 - sin 30 sin 180

cos (x + pi) = (✓3/2 × -1) - (1/2 × 0)

cos (x + pi) = -✓3/2

Hence, the value of cos (x + pi) is -✓3/2.

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Answer:

Step-by-step explanation:

a.) The population is years measured after 2000 so 2000 is 0. Any number to the 0 power is 1 so the population is 23.1 (million).

28.3 = \(23.1e^{0.0152t}\)

1.22510823 ≈ \(e^{0.0152t}\)

ln 1.22510823 ≈ 0.0152t

t≈13.4 million

Ratio:

Sparkling water / grape juice

1 1/2 / 3/4

a)

For 9/4 of grape juice:

x / 9/4

Equal both ratios:

1 1/2 / 3/4 = x /9/4

Solve for x:

(1 1/2 / 3/4) 9/4 = x

x= 4 1/2 of sparkling water

b)

For 15/4 of sparkling water:

15/4 / x

1 1/2 / 3/4 = 15/4 /x

x = 15/4 / (1 1/2 / 3/4)

x= 15/8

c)1 1/2 = 3/2

To find the volume of the solid, we need to integrate the area of each cross-section with respect to the \(\( x \)-axis.\) So, evaluating the integral , we get:
\(\( \text{Volume} = \frac{128}{3} \)\) cubic units.

To find the volume of the solid, we need to integrate the area of each cross-section with respect to the \(\( x \)-axis.\)

The base of the solid is a semicircle given by the equation \(\( y = \sqrt{16 - x^2} \), where \( -4 \leq x \leq 4 \).\)

The cross sections perpendicular to the \(\( x \)\)-axis are squares.

Since squares have equal side lengths, we can find the side length of each square by doubling the value of \( y \).

So, the side length of each square is \(\( 2y = 2\sqrt{16 - x^2} \).\)

To find the area of each cross-section, we square the side length:
\(\( (\text{Area}) = (2\sqrt{16 - x^2})^2 = 4(16 - x^2) \).\)

Now, we integrate this area from \(\( x = -4 \) to \( x = 4 \)\) to find the volume:
\(\( \text{Volume} = \int_{-4}^{4} 4(16 - x^2) \, dx \).\)

Evaluating this integral, we get:
\(\( \text{Volume} = \frac{128}{3} \)\) cubic units.

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Answer:

A ≈ 494.80 \(mm^{2}\)

V = 827.02 \(mm^{3}\)

Step-by-step explanation:

height ( h ) = 13 mm

radius ( r )  = \(\frac{9mm}{2}\) = 4.5 mm

Surface area  = \(2\pi rh + 2\pi r\)

                      = 2π(4.5)(13) + 2π(4.5)

                      ≈ 494.80 \(mm^{2}\)

Volume = \(\pi r^{2} h\)

             = \(\pi (4.5)^{2} (13)\)

             = 827.02 \(mm^{3}\)

Answer:  12

Step-by-step explanation:

Total = Cake + Ice Cream - Both

125 = 80 + 57 - Both

125 = 137 - Both

-12 = -Both

12 = Both

Answer:

Step-by-step explanation:

Total = Cake + Ice Cream - Both

125 = 80 + 57 - Both

125 = 137 - Both

-12 = -Both

12 = Both

Answer:

(0,6), (0,4), (0,-10)

Step-by-step explanation:

#x

#y

#z

Answer:

up to 5 candy bars

Step-by-step explanation:

The simplification of the given algebraic expression is;

yz = (z + 1)/z(z - 1)

We are given y left parenthesis z right parenthesis which is expressed as; yz

Now, we are given the algebraic expression that yz equals space fraction numerator z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction

z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction is expressed as; (z² - 1)/z(z - 1)²

Thus, our main expression is;

yz = (z² - 1)/z(z - 1)²

Factorizing the numerator and denominator gives;

yz = (z + 1)(z - 1)/z(z - 1)(z - 1)

(z - 1) is common to both numerator and denominator and as such, we now have;

yz = (z + 1)/z(z - 1)

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Answer:

g(x) = -16^x + 8

Step-by-step explanation:

This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:

f(x)=16^x  becomes  g(x) = -16^x + 8

Answer:

ok

ok

Step-by-step explanation:

thanks

thank

thanks

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Answer:

768

Step-by-step explanation:

The sequence is just dividing by 2 each number

6144/2=3072

3072/2=1536

1536/2=768

Answer:

0.1875?

Step-by-step explanation:

Complete question :

A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29

a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.

b. Does the value 3.29 represent the population parameter or the sample statistic?

Answer:

True ; population parameter

Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.

B.) population parameter

Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.

Same statistic represents estimates derived from a sample (subset of the entire population).

The required function h(x) is  h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3. Option d is correct.

Function g(x) =  2cos (x + π/2) - 2

What are trigonometric equations?

Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.

Here, the phase of the curve is increase by 7π/8.

So the phase = π/2 + 7π/8

                      = 11 π/8

And Shift of curve along y axis is by -1.

So, the total shift = -2-1

                             = -3

⇒ h(x) = 2cos (x + 11π/8) - 3

Thus, the function h(x) results when g(x) is translated.h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus

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Answer:

so to find the weight of this years model we do this

645*0.8=516

so the answer is 516

Hope This Helps!!!

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

E=-2

Step-by-step explanation:

Hope this helps!!!!

Answer:

E=-2

Step-by-step explanation:

sorry pressed wrong key

(A → ¬A) → ¬A (From 2 and 6 by implication introduction). Hence below is proof for TFL.

In TFL, we have to show ⊤ ⊢ (A → ¬A) → ¬A.

We shall construct a proof using basic TFL.

Since we know that ⊤ ⊢ A → ¬A, this can be proven as follows:

1. A → ¬A (Given)

2. Assume (A → ¬A)

3. Assume A

4. ¬A (From 1 and 3 by modus ponens)

5. ⊥ (From 3 and 4 by contradiction)

6. ¬A (From 5 by negation introduction)

7. Therefore, (A → ¬A) → ¬A (From 2 and 6 by implication introduction)

As a result, we can see that ⊤ ⊢ (A → ¬A) → ¬A, which is the desired conclusion.

Hence, the answer for the given question is as follows:

1. A → ¬A (Given)

2. Assume (A → ¬A)

3. Assume A

4. ¬A (From 1 and 3 by modus ponens)

5. ⊥ (From 3 and 4 by contradiction)

6. ¬A (From 5 by negation introduction)

7. Therefore, (A → ¬A) → ¬A (From 2 and 6 by implication introduction).

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A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

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⇛2√3.

Step-by-step explanation:

Given,

6/√3

The denominator is √3.

We know that

The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.

⇛(6/√3)×(√3/√3)

⇛(6√3)/(√3)²

⇛(6√3)/(√3*3)

⇛(6√3)/3

⇛2√3

Hence, the denominator is rationalised.