Find the missing side lengths.
AB=
BC=

Given:

The pyramid has base sides measurements 6 cm and slant height 8 cm.

Required:

What is the surface area of the pyramid?

Explanation:

The surface afrea formula fo pyramid:

We have base sides equal 6 cm and slant height equals 8 cm.

So,

Answer:

Surface area of pyramid equals 132 cm square.

On solving the provided question we can say that - the linear equation of .25x + 3y = 1 +3 = 4

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation  two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, x= 4 and = 1

.25x + 3y

= 1 +3

= 4

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Answer:

I believe it's 9

Step-by-step explanation:

Answer:

9²

Step-by-step explanation:

9²

Intersection of angle of triangle known as incenter is equidistant from the sides of the triangle.

An angle of a triangle is divided into two congruent angles by a straight line known as the angle bisector.

The incenter is the location where the intersection of the three angle bisectors of a triangle occurs.

In the figure , I is incenter of ΔPQR.

The sides of the triangle are equally distance from the incenter.

Meaning, PI=QI=RI. The triangle's inscribed circle is a circle that contacts all three sides and has the incenter as its center and a radius equal to this distance.

The triangle can accommodate only one circle larger than this one.

An equilateral triangle will have an identical incenter and circumcenter.

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Answer: Its D

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

In the equation 7.2x = 14.4, to find x, we first want to isolate the variable.

It would be a little easier if there were no decimals so:

7.2x = 14.4

We could multiply both sides by 10 to get rid of the decimals

7.2x * 10 = 14.4 * 10

72x = 144

We then can divide both sides by 72

72x/72 = 144/72

x = 2

^ is your answer

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

Answers:

a.   T(4, -3)

b.   T(-6, 5)

============================================

Explanation:

The "T" stands for "translation" (not transformation; even though a translation is a type of transformation).

When we say something like T(3,-2), we mean "move 3 units to the right and 2 units down". The first coordinate handles left/right movement. Positive for right, negative for left. It's just like what you'd encounter on an xy grid system. The second coordinate handles the up and down motions (positive = up, negative = down).

The notation T(3,-2) is basically the same as writing the rule \((x,y) \to (x+3,y-2)\)

------------------------

It's perfectly possible to chain multiple translations together. The goal is to get it as one translation instead of two separate ones.

As you can probably guess, the T(1,-1) will have the point move 1 unit to the right and one unit down.

If we add 1 unit to the right on top of the x+3, then we bump it up to x+4

If we subtract 1 unit from the y-2, then we get to y-3

So we would go from \((x,y) \to (x+3,y-2)\)  to \((x,y) \to (x+4,y-3)\)

This then condenses to the shorter notation T(4,-3)

It says "move 4 units to the right and 3 units down.

------------------------

An example is shown below involving the point (5,7).

The translation T(3,-2) moves point A to point B.

Then the translation T(1,-1) moves point B to point C.

We can directly move from A to C applying the translation T(4,-3).

------------------------

All of that above explained part (a). Part (b) is the same idea, but with different numbers. The order of translations doesn't matter.

Instead of repeating the same steps as above, I'll just talk about the shortcut.

If we had two translations T(a,b) and T(c,d) composited together, then they simplify to T(e,f) where e = a+c and f = b+d. It's as simple as adding the two corresponding coordinates.

So T(-4,0) and T(-2,5) combine to T(-6,5).

Answer:

2/1

Step-by-step explanation:

Answer:

the answer is 2!

Step-by-step explanation:

you count the rise over run

count from where it meets a whole number to where it meets another whole number and then you have your answer!

for this you count from (3,3) to (2,1) which is 2/1 making it 2

Answer:

C. 215.12 feet per second

Step-by-step explanation:

Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.

How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?

From the above question

1 mile = 5280 feet

1 hour = 60 minutes

1 minutes = 60 seconds

1 hour = 60 × 60 seconds = 3600 seconds

We are to convert 146.67 miles per hour = feet per second

Hence:

146.67 miles /1 ft × 5280 feet/1 miles × 1 hr/3600 seconds

= 146.67 × 5280 feet/3600 seconds

= 774417.6 feet / 3600 seconds

= 215.116 feet per second.

Approximately = 215.12 feet per second

Option C is correct

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x). Option A is correct

The given diagram is a quadrilateral. Using the mid-segment theorem of shapes;

7 = 1/2(4 + x)

Cross mulltiply

7 * 2 = 4 + x

14  = 4  + x

Subtract 4 from both sides:

14 - 4 = 4 + x - 4

14 - 4 = x

x = 10

Hence the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x)

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According to BPT theorem

Lets see how

Yes this satisfies

Option D

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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Answer:

We conclude that:

Step-by-step explanation:

Given the expression

\(\left(5p^3\right)\:\left(-1m^8p^2\right)\)

Apply the rule:

\(a\left(-b\right)=-ab\)

so the expression becomes

\(\left(5p^3\right)\left(-1\cdot \:m^8p^2\right)=-5p^3\cdot \:1\cdot \:m^8p^2\)

Apply the rule:

\(a^b\cdot \:a^c=a^{b+c}\)

so the expression becomes

                             \(=-5p^{3+2}\cdot \:1\cdot \:m^8\)         ∵ \(p^3p^2=p^{3+2}\)

                             \(=-5p^5\cdot \:1\cdot \:m^8\)

                             \(=-5p^5m^8\)

Therefore, we conclude that:

The range of the interval will be smaller, when we calculate a 90% confidence interval instead of a 95% confidence interval, the interval will be narrower, meaning that it will exclude more values from the sample.

When we want to estimate the true population mean with a certain degree of certainty, we use a confidence interval. This interval specifies a range of values that the true mean is likely to fall within.

The confidence level is the percentage of times that the interval will include the true population mean of the estimation process is repeated many times.

Suppose we have calculated a 95% confidence interval for the population mean of a variable based on a sample. This means that we are 95% confident that the true population mean falls within the interval we have calculated.

Suppose we are asked to calculate a 90% confidence interval for the same population mean.

What will change?

The answer is that the range of the interval will be smaller.

The 95% confidence interval is wider because it needs to account for a higher probability of including the true population mean.

On the other hand, the 90% confidence interval is narrower because it needs to account for a lower probability of including the true population mean.

Therefore, the confidence level and the width of interval are inversely related. In other words, as the confidence level decreases, the width of the interval decreases, and vice versa.

In summary, when we calculate a 90% confidence interval instead of a 95% confidence interval, the interval will be narrower, meaning that it will exclude more values from the sample.

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The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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Answer: all of the above

Step-by-step explanation:

The two numbers are 3 and 11 respectively

From the information given, we have that

The first number is x

The second number is y

Also,

2x - y = -5

x + y = 14

Make 'x' the subject from equation 2

x = 14 - y

Make 'x' the subject

2(14-y) - y = -5

28 - 2y - y= -5

collect like terms

-3y = -33

y = 11

Substitute the values

x = 3

Hence, the values are 3 and 11

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

69.12ft

Step-by-step explanation:

I'm

pretty sure

The angle measure of  m∠B = 24°.

Two angles are supplementary.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

Two angles are supplementary.

The m∠A is five times the sum of the m∠B plus 7.2°.

That means,

5(B + 7.2) + B = 180

6B = 180 - 36

B = 24.

Therefore, the angle measures of m∠B = 24°.

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$12.25

                                                                   you welcome that the answer

Answer:

11.25$

Step-by-step explanation:

19.00 - 7.75 = 11.25

In the given situation there are 144 possible ways for the nine representatives at the table.

We will first determine how many different options there are to seat the delegates of the three nations at the table.

We can arrange the three delegates we have for England in 3! = 6 different ways.

We can arrange the four delegates we have for Germany in 4! = 24 different ways.

We can organize the two representatives we have for France in 2! = 2 different ways.

The total number of arrangements for all nine delegates is obtained by multiplying the number of arrangements for each country's representatives.

6 x 24 x 2 = 288 ways

However, because the table is round, two configurations are deemed identical if they can both be created by rotating one.

To put it another way, the configurations are identical to one another and are not counted individually.

The total number of configurations divided by the number of identical arrangements gives the number of ways to position all nine representatives around the table (also known as rotations).

288 / 2 = 144

The nine representatives can be seated at the table in 144 different ways.

Because 144 is an even number, it should be noted that there are actually twice as many possible methods to solve the problem (144 x 2 = 288), or 540 options.

Therefore, in the given situation there are 144 possible configurations for the nine representatives at the table.

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Complete question:
An international meeting is held between england, Germany, and france. three representatives attend from England, four from germany, and two from france. how many ways can all nine representatives sit around a circular table, if representatives of the same country sit together? (two ways are considered the same if one can be rotated to produce the other.)

Answer:

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Since the volume of oil in the tank is directly proportional to the depth of the oil, we can calculate the amount of oil left in the tank when it is 3 feet deep using a simple ratio.

First, we need to convert the tank's capacity from gallons to cubic feet because our measurements are in feet. According to the U.S. liquid gallon to cubic foot conversion, 1 gallon is approximately 0.133681 cubic feet. So, the tank's total volume in cubic feet is 620 gallons * 0.133681 cubic feet/gallon.

Let's denote the total volume of the tank as V_total and the remaining volume when the tank is 3 feet deep as V_remaining.

V_total = 620 * 0.133681 cubic feet.

Given that the total height (h_total) of the tank is 8 feet and the remaining height (h_remaining) is 3 feet, we can set up the following proportion:

h_remaining / h_total = V_remaining / V_total.

By cross-multiplying and solving for V_remaining, we can find the remaining volume in the tank when it's 3 feet deep. Then, we convert this volume back to gallons by dividing by 0.133681.

Let's calculate that.

Apologies for the confusion; I made a mistake. I can't execute calculations directly in this manner. I'll carry out the calculations below instead:

The total volume of the tank in cubic feet is:

V_total = 620 gallons * 0.133681 cubic feet/gallon = 82.9022 cubic feet.

The remaining volume when the tank is 3 feet deep can be calculated with the proportion:

h_remaining / h_total = V_remaining / V_total.

After cross-multiplying and solving for V_remaining, we have:

V_remaining = (h_remaining / h_total) * V_total = (3 ft / 8 ft) * 82.9022 cubic feet = 31.0941 cubic feet.

Then, we convert this volume back to gallons by dividing by 0.133681:

V_remaining_gal = 31.0941 cubic feet / 0.133681 = 232.63 gallons.

Rounding to the nearest whole number, approximately 233 gallons remain in the tank when the depth of the oil is 3 feet.

Answer:

$72 is the retail price

Step-by-step explanation:

100 x (100-28)/100

let

d1 = 250 mi the distance that Mattie Evans drove

v1 = the speed of Mattie Evans

d2 = 1300 mi the distance the plane traveled

v2 = the speed of the plane

The speed of the plane was 190 mph faster than the speed of the car:

v2 = v1 + 190

since time = distance/speed and they both traveled the same time we have

d1/v1 = d2/v2

250/v1 = 1300/v2 cross multiply

250v2 = 1300v1 divid eboth sides by 50

5v2 = 26v1

by solving the system of equations:

v2 = v1 + 190

5v2 = 26v1

we find

v1 = 45.24 mph

v2 = 235.24 mph

The values of the variables can be proved by solving the the equations to get;

8. y = 3

9. k = -2

10. w = 14

11. x = -9

An equation is a statement that indicates that two expressions are equivalent by joining them with the '=' sign.

The method used to prove the value of the variable is by solving the equations as follows;

8. (5·y - 1)/2 = 7

Therefore;

2 × 7 = 5·y - 1

14 = 5·y - 1

5·y = 14 + 1 = 15

y = 15/5 = 3

y = 3

9. 10·k - 4 = 2·k - 20

Therefore;

10·k - 2·k = 8·k = 4 - 20 = -16

8·k = -16

k = -16/8 = -2

Therefore;

k = -2

10. -8·(w + 1) = -5·(w + 10)

-8·w - 8 = -5·w - 50

Therefore;

-5·w + 8·w = 50 - 8 = 42

3·w = 42

w = 42/3 = 14

Therefore;

w = 14

11. 14 - 2·(x + 8) = 5·x - (3·x - 34)

Therefore;

14 - 2·x - 16 = 5·x - 3·x + 34

14 - 2·x - 16 = -2·x - 2

5·x - 3·x + 34 = 2·x + 34

Therefore;

-2·x - 2 = 2·x + 34

2·x + 2·x = -2 - 34 = -36

4·x = -36

x = -36/4 = -9

x = -9

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