Find the total surface area of this triangular prism

Answer:

where r the equations?

Answer:

3(12-x)=6

Step-by-step explanation:

hope that helps !!!!!!!!!!!!!!!!!

Answer:

3-(-5)

Step-by-step explanation:

The distance between these two points is 8. And this is the only answer that acheives this sum.

Answer:

|-5 - 3|

|3 -(-5)|

Step-by-step explanation:

Answer:

the triangles are congruent

Step-by-step explanation:

method 1: Angle-Angle-Angle congruency test

angle BAC = angle DEC(given)

angle ABC = angle EDC

angle BCA = angle DCE

method 2: Side Angle Side Congruency test

BC = DC (both are 4 cm)

angle BCA = angle DCE (vertically opp. angles, straight lines intersect)

AC = EC (both are 6 cm)

side note:

1. when testing for congruency and giving the different congruency test, always ensure that the sides or angles mentioned are in corresponding order of the congruent triangles.

2. see that from the explanation given i do not anyhow mix up the sides with any sides or mess up points with any points(will show drawing of an example of what i mean)

pls dont mind the ugly handwriting as well since i dont have a stylus

Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

Answer:

The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

Step-by-step explanation:

The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

Answer:

Step-by-step explanation:

4:12= 1:3

the equation of the problem is

because 1 bucket is full per hour

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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Answer:

All students at her high school

Step-by-step explanation:

Those are the people she in the opinion of

The correct option for Kristen's population of interest would be "All students at her high school."

Here, we have,

The population of interest refers to the specific group of individuals that the researcher wants to draw conclusions about or make inferences regarding a particular research question.

In this case, Kristen is specifically interested in the opinions of students at her high school regarding the proposed new school hours.

Therefore, her population of interest is limited to the students within her own high school.

The other options mentioned such as "All members of the school board," "All teachers at her school,"

"All students in the school district,"

and "All high school students in the state" represent broader or different groups that are not the specific focus of Kristen's investigation.

Hence, in this case, it is concluded that the correct answer is "All students at her high school."

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complete question:

Kristen is investigating the opinions of students at her high school on the new school hours proposed by the school board. Which of the following is her population of interest? All students at her high school All members of the school board All teachers at her school All students in the school district All high school students in the state

The given unity feedback system is the type-1 system, which can be observed from the given open-loop transfer function G(s).

Steady state error is the difference between the input and the output as time approaches infinity. It is also the difference between the desired value and the actual output at steady-state.

The steady-state error is calculated using the error coefficient, which depends on the type of the system.Find the steady-state error if the input is 80u(t):The transfer function of the given system can be written as follows;G(s) = 80(8²)/(s+4)(8+6)(8+17)The type of the given system is the type-1 system.

As the input to the system is u(t), the error coefficient is given as,Kp = lims→0sG(s) = 80/4(6)(17) = 5/153The steady-state error can be found out by the following formula;

ess = 1/Kp = 153/5.

Therefore, the steady-state error of the given system if the input is 80u(t) is 153/5.Find the steady-state error if the input is 80tu(t):As the input to the system is tu(t), the error coefficient is given as,Kv = lims→0s²G(s) = 0The steady-state error can be found out by the following formula;ess = 1/Kv = ∞.

Therefore, the steady-state error of the given system if the input is 80tu(t) is infinity.Find the steady-state error if the input is 80t²u(t):As the input to the system is t²u(t), the error coefficient is given as,Ka = lims→0s³G(s) = ∞The steady-state error can be found out by the following formula;

ess = 1/Ka = ∞.

Therefore, the steady-state error of the given system if the input is 80t²u(t) is infinity.

By using the error coefficient formula, we have found that the steady-state error of the given system if the input is 80u(t) is 153/5, steady-state error of the given system if the input is 80tu(t) is infinity and steady-state error of the given system if the input is 80t²u(t) is infinity.

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Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34

Answer:

2/3

Step-by-step explanation:

9*2/3=6

6*2/3=4

4*2/3=8/3

No, events a and b are not disjoint if if the p(a) = 0.25 and the p(b) = 0.5.

Two events are considered disjoint if they cannot occur at the same time, meaning their intersection is equal to zero. Mathematically, if A and B are disjoint events, then P(A ∩ B) = 0.

In this case, we do not know whether events a and b are independent or dependent. Therefore, we cannot determine whether they are disjoint based on the given probabilities alone.

To determine whether events a and b are disjoint, we need to know whether they share any common outcomes. If there are any outcomes that belong to both events, then the events are not disjoint.

Without further information, we cannot determine whether events a and b are disjoint.

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Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

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55

Step-by-step explanation:

The co-terminal angle to 5π/6 in the unit circle is C. 17π/6

Co-terminal angles in a unit circle are angles that share the same terminal point

Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.

We know that x = 5π/6 + 2π

Taking the L.C.M which is 6, we have that

x = (12π + 5π)/6

x = 17π/6

So, the angle is C. 17π/6

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The candy distributor needs to use 30 kilograms of 10% fat-content chocolate and 70 kilograms of 50% fat-content chocolate to create 100 kilograms of a 14% fat-content chocolate.

To solve this problem, we can use the method of mixture problems, which involves setting up a system of equations. Let x be the number of kilograms of the 10% fat-content chocolate and y be the number of kilograms of the 50% fat-content chocolate.

We have two equations based on the fat content and the total weight of the mixture:

0.1x + 0.5y = 0.14(100) (equation for fat content)

x + y = 100 (equation for total weight)

We can solve this system of equations using substitution or elimination. Using substitution, we can solve for x in terms of y from the second equation and substitute it into the first equation:

x = 100 - y

0.1(100 - y) + 0.5y = 0.14(100)

10 - 0.1y + 0.5y = 14

0.4y = 4

y = 10

Then we can substitute y = 10 back into the equation for x and get:

x = 100 - y = 100 - 10 = 90

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The dimensions of the given cylinder are that its height is 12cm, while its base radius is 4cm, which implies its diameter is 8 cm.

Thus, the first option, The height is 12 cm, and the diameter of the base is 8 cm, is the right choice.

The volume of a cylinder is calculated using the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.

The expression used by Aiden to calculate the volume of a cylinder is π(16)(12), or, π(4²)(12).

Comparing this expression with the general formula of the volume of a cylinder, V = πr²h, where V is its volume, r is its radius, and h is its height, we can say that the radius can be 4 units and the height can be 12 units.

Assuming the units to be cm, we can say that:

The dimensions of the given cylinder are that its height is 12cm, while its base radius is 4cm, which implies its diameter is 8 cm.

Thus, the first option, The height is 12 cm, and the diameter of the base is 8 cm, is the right choice.

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The complete question is:

Aiden evaluated the expression π(16)(12) to find the volume of a cylinder. What could be the dimensions of the cylinder?

The height is 12 cm, and the diameter of the base is 8 cm.

The height is 12 cm, and the area of the base is 16 cm².

The height is 16 cm, and the diameter of the base is 6 cm.

The height is 16 cm, and the area of the base is 12 cm².

Answer:

the answer is 486

Step-by-step explanation:

The length of side MN from triangle MNP is 30.78

Please see the attached picture below as reference of triangle MNP.

From the case, we know that:

∠M = 90°

∠P = 72°

∠N = 18°

PM = 10

To solve this problem we need to find the length of side NP first using cos formula to angle P.

Cos ∠P = PM

                 NP

Cos 72° = 10 / NP

0.309 = 10 / NP

NP = 32.36

Next, we will use the same approac to angle N:

Cos ∠N = MN

                 NP

Cos 18° = MN / 32.36

MN = 0.951 x 32.36

MN = 30.78

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When measured from a position on the ground 50 meters away from a tree, the height of the tree is 55.5 meters to the nearest hundredth of a meter.

The association between triangle line angle lengths and angles is examined in the mathematics discipline known as trigonometry. The application of geometry in astronomical inquiry gave rise to the area's first appearance in the 18th century, roughly in the third centuries BC. Exact approaches mathematics focuses on certain right triangle and how they could be applied to operations. In trigonometry, there are six well-known trigonometric functions. They are identified by their various names and buzzwords: sine, cosine, parallel, cotangent, hyperbolic tangent, and cosecant (csc). Trigonometry is the study of the properties of triangles, particularly of right triangles. The features of all geometric forms are studied in geometry.

given

Base = 50, Elevation Angle = 48

An angle's opposite or adjacent side is its tan.

Tan (48), 

height/distance, = 50*tan (48), 

height, or 55.5 feet.

When measured from a position on the ground 50 meters away from a tree, the height of the tree is 55.5 meters to the nearest hundredth of a meter.

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Answer:

x^2 + 2x

Step-by-step explanation:

divide second equation by 3 to get y

y = 4x

y = x^2 + 6x

make the equations equal each other

4x = x^2 + 6x

0 = x^2 + 2x

Answer:

0

Step-by-step explanation:

(5x^2+4x-7) + (-5x^2-4x+7)

= 5x² + 4x - 7 - 5x² - 4x + 7

= 4x - 7 - 4x + 7

= - 7 + 7

= 0

A left-recursive grammar rule is one where the non-terminal symbol appears on the left side of the production rule. In contrast, a right-recursive grammar rule is one where the non-terminal symbol appears on the right side of the production rule.

In a grammar, a production rule consists of a non-terminal symbol (the left-hand side) and a sequence of terminal and/or non-terminal symbols (the right-hand side). The order in which these symbols appear determines whether the rule is left-recursive or right-recursive.

A left-recursive grammar rule is of the form A -> Aα, where A is a non-terminal symbol and α is a sequence of terminal and/or non-terminal symbols. This rule allows the non-terminal A to derive itself or to derive a string that eventually leads to A. Left-recursion can cause infinite loops during parsing or evaluation.

On the other hand, a right-recursive grammar rule is of the form A -> αA, where A is a non-terminal symbol and α is a sequence of terminal and/or non-terminal symbols. In this case, the non-terminal A appears at the end of the rule, allowing the derivation to proceed from left to right.

The distinction between left-recursive and right-recursive grammar rules is important in parsing algorithms and language processing. Most top-down parsing techniques, like recursive descent parsing, can handle right-recursive rules efficiently, while left-recursive rules can cause problems.

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Step-by-step explanation:

1. us

p- parenthesis

e-exponents

m-multiplication

d-division

a -addition

s,-subtraction

ul

use that and go in order

The solution to the inequality 2|3x – 4| – 8 < 8 will be x < 4.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given inequality function is 2|3x – 4| – 8 < 8. The inequality will be solved as:-

2|3x – 4| – 8 < 8

6x - 8 - 8 < 8

6x - 16 < 8

6x < 24

x < 4

Therefore, the solution to the inequality 2|3x – 4| – 8 < 8 will be x < 4.

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Answer:

C

Step-by-step explanation:

You know it is an acute angle, meaning that it has to be below 90 degrees.

~theLocoCoco

Answer:

Answer would be C

Step-by-step explanation:

Answer:

a) An input of 5 gives an output of 14. An input of -1 gives an output of -4.

An input of x gives an output of 3x - 1

b) y = 3x - 1

Step-by-step explanation:

The pattern is that you multiply the number by 3 then subtract 1.

3*3 - 1 = 9 - 1 = 8

10 * 3 - 1 = 30 - 1 = 29

20 * 3 - 1 = 60 - 1 = 59

So:

a)

For an input of 5,

5 * 3 - 1 = 15 - 1 = 14

For an input of -1:

-1 * 3 - 1 = -3 - 1 = -4

For an input of x:

x * 3 - 1 = 3x - 1

So the equation is

b) y = 3x - 1

where x is the input value.

Answer:

M = -1  This is your slope

Step-by-step explanation:

a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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Answer:

It has 3 terms