what is the surface area of the triangular prism shown

Answers

Answer 1

The surface area of the prism is 184 cm², So the correct answer is 184 square centimeters.

What is a Triangular Prism:

A triangular prism is a three-dimensional geometric shape that consists of two congruent parallel triangles as its bases and three rectangular faces connecting the corresponding sides of the two triangles.

The triangular prism has a total of six faces, to find the surface area of the prism we need to find the sum of the area of the six faces.

Here we have

The prism has a rectangular base with dimensions of 10 cm × 6 cm  

The height of the prism is 4 cm and the sides of the triangular faces are 5 cm

Here,

The surface area of the prism

= Area of base + Area of 2 rectangular faces + Area of 2 triangular faces

= 10 cm × 6 cm + 2 [ 10 cm × 5 cm ] + 1/2 2 [ 4 cm × 6 cm ]

= 60 cm² + 100 cm² + 24 cm²

= 184 cm²  

Therefore

The surface area of the prism is 184 cm², So the correct answer is 184 square centimeters.

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Complete Question:

What is the surface area of the triangular prism shown?

32 square centimeters

120 square centimeters

184 square centimeters

1,560 square centimeters

What Is The Surface Area Of The Triangular Prism Shown

Related Questions

Question 4 of 8
A runner charted how long it took her to run certain distances. Here is the
information she gathered:
Minutes O 8 16 24
Miles 0 1 2 3
At this pace, how long will it take her to run 6 miles?

Answers

Step-by-step explanation:

she runs 1 mil in each 8 minute

so you can easily find the answer by multiplying 6 with 8

6 • 8 = 48

Subtract. Write your answer in simplest form.

9 1/14 - 3 6/7

A. 6 1/14

B. 5 3/14

C. 5 11/14

D. 6 11/14

only for I Brainly Expert

Answers

Difference of the given fractions is [tex]5\frac{3}{14}[/tex]. Therefore, option B is the correct answer.

The given fractions are [tex]9\frac{1}{14}[/tex] and [tex]3\frac{6}{7}[/tex].

Here, [tex]9\frac{1}{14}[/tex] = 127/14 and [tex]3\frac{6}{7}[/tex] = 27/7

So, the difference is

127/14 - 27/7

= 127/14 - 27/7 ×2/2

= 127/14 - 54/14

= (127-54)/14

= 73/14

= [tex]5\frac{3}{14}[/tex]

Therefore, option B is the correct answer.

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AABC DEF. What sequence of transformations will move AABC onto ADEF?



A. A dilation by a scale factor of 2, centered at the origin, followed by
a 90° clockwise rotation about the origin

B. A dilation by a scale factor of, centered at the origin, followed by
the translation (x, y) - (x+4, y-2)

C. A dilation by a scale factor of, centered at the origin, followed by
a 180° clockwise rotation about the origin

D. A dilation by a scale factor of 2, centered at the origin, followed by
a reflection over the y-axis

Answers

Answer:

  C. Dilation by 1/2, rotation 180°

Step-by-step explanation:

You want the sequence of transformations that moves ∆ABC to ∆DEF.

Points

We note that the coordinates of corresponding points are ...

A = (-2, 2)D = (1, -1)

Comparing these, we find that D = (-1/2)·A.

The scale factor of -1/2 is equivalent to a dilation by a factor of 1/2 and reflection across the origin. Reflection across the origin is equivalent to a rotation of 180°.

Sequence

The sequence of transformations that moves ∆ABC to ∆DEF is ...

  C.  A dilation by a factor of 1/2 centered at the origin, followed by a 180° clockwise rotation about the origin.

__

Additional comment

The direction of rotation is irrelevant when the rotation angle is 180°. When the center of dilation is unspecified, it is assumed to be the origin.

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Electric utility poles in the form of right cylinders are made out of wood that costs $25.99 per cubic foot. Calculate the cost of a utility pole with a radius of 0.5 ft and a height of 25 ft. Round your answer to the nearest cent.

Answers

Answer:$509.51

Step-by-step explanation:

The volume of a right cylinder is given by:

V = πr^2h

where r is the radius and h is the height.

Plugging in the values given in the problem, we get:

V = π(0.5)^2(25) = 19.63 cubic feet

The cost of the utility pole is the product of its volume and the cost per cubic foot of the wood, which is $25.99. Therefore, the cost is:

Cost = 19.63 x $25.99 = $509.51

Rounding to the nearest cent, the cost of the utility pole is $509.51.

An author published a book which was being sold online. The first month the author sold 27500 books, but the sales were declining steadily at 10% each month. If this trend continues, how many total books would the author have sold over the first 6 months, to the nearest whole number?

Answers

The author would have sold a total of 128305 books over the first 6 months.

What is geometric series?

A geometric series is the sum of finite or infinite terms of a geometric sequence. For the geometric sequence a, ar, ar2, ..., arn-1, ..., the corresponding geometric series is a + ar + ar2 + ..., arn-1 + .... We know that "series" means "sum".

We can use the formula for the sum of a finite geometric series to calculate the total number of books sold over the first 6 months:

S = a(1 - rⁿ) / (1 - r)

where:

a = the first term of the series = 27500

r = the common ratio = 0.9 (since sales decline by 10% each month)

n = the number of terms in the series = 6 (since we want to calculate the total number of books sold over the first 6 months)

Plugging in the values, we get:

S = 27500(1 - 0.9⁶) / (1 - 0.9)

S = 27500(1 - 0.531441) / 0.1

S = 27500(0.468559) / 0.1

S = 128305.45

Rounding to the nearest whole number, the author would have sold a total of 128305 books over the first 6 months.

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Suppose y varies directly with x, and y = 104 when x = 8. What is the value of y when x = 18?​

Answers

Answer:

Okay, let's break this down step-by-step:

   y varies directly with x, meaning y is proportional to x.

   This can be expressed as y = kx for some constant k.

   We are given: When x = 8, y = 104.

   Substituting the given values: 104 = k(8)

   Solving for k: k = 104/8 = 13

   Now we want to find y when x = 18. We use the proportional relationship:

   y = kx

   = 13(18)

   = 234

Therefore, when x = 18, y = 234.

Step-by-step explanation:

Anton is seeking an advanced degree that requires an investment of
$70,000 and a three-year commitment during which he will lose
$20,000 a year in income. Without considering the interest lost on
the investment, how long will it take him to recover his out-of-
pocket investment and lost earnings if he makes $10,000 more per
year after completing the degree?

Answers

Based on the total of his out-of-pocket investment and lost earnings of $130,000, it will take Anton 13 years (payback period) to recover if he makes an additional $10,000 per year after completing the degree.

How the number of years is determined:

The number of years (payback period) that it will take Anton to recover his investments and lost earnings can be determined by dividing the total investment and lost earnings by the additional annual income of $10,000.

Investment = $70,000

Lost earnings per year = $20,000

Number of years required to complete the degree = 3 years

The total lost earnings = $60,000 ($20,000 x 3)

The total investment and lost earnings = $130,000 ($70,000 + $60,000)

Additional annual income after completing the degree = $10,000

The number years to recover investment and lost earnings = 13 years ($130,000 ÷ $10,000)

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plsssssssssss help state testing is coming up !!!!!

Answers

Answer:

Step-by-step explanation:

sorry, kinda messy cuz i was using my mouse to write

a 5 55-meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder and the wall is increasing at 6 66 meters per minute. at a certain instant, the top of the ladder is 3 33 meters from the ground. what is the rate of change of the area formed by the ladder at that instant (in square meters per minute)?

Answers

The rate of change of the area formed by the ladder at this instant is 11.1 m²/min.

At a certain instant, we are given that the top of the ladder is 3.33 m from the ground. This means that h = 3.33 m. We also know that the distance between the bottom of the ladder and the wall is increasing at a rate of 6.66 m/min. In other words, we can say that dx/dt = 6.66 m/min.

Our goal is to find the rate of change of the area formed by the ladder at this instant. Let's denote the area of the triangle by A. We know that:

A = (1/2) x L x h

To find the rate of change of A, we need to take the derivative of A with respect to time t:

dA/dt = (1/2) x (dL/dt x h + L x dh/dt)

We know that dh/dt is zero because the height of the triangle is not changing. We also know that the ladder is sliding down the wall, which means that dL/dt is negative. Therefore, we can rewrite the equation as:

dA/dt = (1/2) x (-dL/dt x h)

Substituting the given values, we get:

dA/dt = (1/2) x (-(-6.66) x 3.33) = 11.1 m²/min

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Find the exact length of the curve.x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3

Answers

To find the exact length of the curve given by x = et − 9t, y = 12et/2, 0 ≤ t ≤ 3, we can use the arc length formula:
L = ∫(a to b) √[dx/dt]^2 + [dy/dt]^2 dt
Substituting the given values, we get:
L = ∫(0 to 3) √[e^t - 9]^2 + [6e^(t/2)]^2 dt
Simplifying the expression under the square root, we get:
L = ∫(0 to 3) √(e^(2t) - 18e^t + 81 + 36e^t) dt
L = ∫(0 to 3) √(e^(2t) + 18e^t + 81) dt
L = ∫(0 to 3) (e^t + 9) dt
L = [e^t + 9t] from 0 to 3
L = [e^3 + 9(3)] - [e^0 + 9(0)]
L = e^3 + 27 - 10.99
L ≈ 25.5
Therefore, the exact length of the curve is approximately 25.5 units.

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Question in image, please help!​

Answers

The answer is 1/4 because 1 is rise and run is 4

how are binary categorical variables included in multiple linear regression?

Answers

Binary categorical variables are typically included in multiple linear regression models using a technique called "dummy coding" or "indicator coding".

These dummy variables are then included in the multiple linear regression model as additional predictor variables, along with the continuous predictor variables. The coefficient estimates for the dummy variables represent the differences in the intercept or slope between the two categories of the binary categorical variable.

It is important to note that when using dummy coding, one of the categories of the binary categorical variable must be chosen as the reference category, and the coefficient estimates for the other categories are interpreted relative to the reference category. The choice of reference category can affect the interpretation of the coefficient estimates and should be chosen based on the research question and the goals of the analysis.

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Last year Tory earned $8.00 an hour at her job. This year she earns $10.00 an hour. What is the percent increase in the amount Tory earns?

Answers

The percent increase of Tory's earnings is 25%.

What is the percent increase in the amount Tory earns?

Percentincrease is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.

It is expressed as;

C = ((x₂ - x₁) / x₁)100%

Where x₁ is initial value and x₂ is new value

Given that:

Initial value x₁ = $8.00

New value x₂ = $10.00

Percent increase C = ?

Substituting the given values, we get:

C = ((x₂ - x₁) / x₁)100%

C = (( 10 - 8 ) / 8)  × 100%

C = ( 2/8)  × 100%

C = 25%

Therefore, the percent increase is 25%.

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EXPLAIN EXPLAIN EXPLAIN!!!! Abdul is painting his bedroom. Two of the walls are 10 feet in length by 9 feet high. The other two walls are 12 feet in length by 9 feet high. He is painting the room white, along with the ceiling. His door measures 3 feet wide by 7 feet tall and his closet is 6 feet wide by 7 feet tall. He won’t be painting either the door or closet. One gallon of paint will cover 400 square feet. How many gallons of paint does Abdul need to purchase? Explain how you found your answer.

EXPLAIN

Answers

As one gallon of paint will cover 400 square feet, then Abdul needs to purchase 2 gallons of paint.

To find the total area that Abdul needs to paint, we need to calculate the area of each wall and the ceiling, and then add them up.

Area of first wall = length x height = 10 ft x 9 ft = 90 sq ft

Area of second wall = length x height = 10 ft x 9 ft = 90 sq ft

Area of third wall = length x height = 12 ft x 9 ft = 108 sq ft

Area of fourth wall = length x height = 12 ft x 9 ft = 108 sq ft

Area of ceiling = length x width = 10 ft x 12 ft = 120 sq ft

Total area to be painted = 90 + 90 + 108 + 108 + 120 = 516 sq ft

Abdul is not going to paint the door or closet, so we need to subtract their areas from the total area.

Area of door = width x height = 3 ft x 7 ft = 21 sq ft

Area of closet = width x height = 6 ft x 7 ft = 42 sq ft

Total area to be painted after subtracting door and closet = 516 - 21 - 42 = 453 sq ft

Since one gallon of paint covers 400 square feet, Abdul needs to purchase:

453 sq ft ÷ 400 sq ft/gallon = 1.13 gallons of paint

Thus, as we round up to the nearest gallon since Abdul cannot purchase a fraction of a gallon. Abdul needs to purchase 2 gallons of paint.

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let x be a connected subset of metric space m. if x is connected. is the interior of x necessarily connected?

Answers

NO, the interior of x is not necessarily connected.

A connected subset is one that cannot be expressed as the union of two non-empty separated sets.

The interior of x may not have this property. For example, consider the subset of the real line given by the closed interval [0,1]. This set is connected, but its interior, (0,1), is not. It can be expressed as the union of the two separated sets (0,1/2) and (1/2,1). Therefore, the interior of a connected subset may not be connected.
1. A connected subset X of a metric space M means that there is no separation of X into two disjoint non-empty open sets.
2. The interior of X refers to the set of all interior points of X, which are points where every neighborhood of the point lies entirely within X.
3. However, the interior of X may have a different connectivity structure than X itself. It is possible for the interior of X to be disconnected, meaning it can be separated into two disjoint non-empty open sets.
4. As a result, the interior of a connected subset X is not guaranteed to be connected.

Hence, The main answer is: No, the interior of a connected subset X of a matrix space M is not necessarily connected.

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A company promises to release a new smartphone model every month. Each model’s battery life will be 6% longer than the previous model’s. If the current models battery life is 731.0 minutes what will the latest models Battery life be in 9 months from now

Answers

The number of months that it will take the latest model's battery life to reach 731.0 minutes would be 8 months

Each month, there is an increase by a factor of 0.06 of the past months model.

By geometric sequence formula of aₙ = ar^(n - 1),

where; a is first term

r is common ratio, aₙ is nth term

we have;

1,008.9 = 731.0 * 1.06^(n - 1)

1008.9/731.0 = 1.06^(n - 1)

In 1.504 = (n - 1) In 1.06

0.408 = (n - 1) * 0.058

n - 1 = 0.408/0.058

n = 7.03 + 1

n ≈ 8 months

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what is 3/4 / 1/2 equal to using common denominators

Answers

3/4 divided by 1/2, when written with common denominators, is equal to 3/2 or 1.5 as a decimal.

What is common denominators?

In mathematics, common denominators refer to a shared multiple of the denominators of two or more fractions. When fractions have common denominators, their denominators are the same, which makes it easier to add, subtract, or compare them. For example, to add the fractions 1/4 and 3/8, we need to find a common denominator that both 4 and 8 can divide into evenly. One common denominator is 8, so we can rewrite the fractions as:

1/4 = 2/8

3/8 = 3/8.

In the given question,

To divide one fraction by another, we can multiply the first fraction by the reciprocal of the second fraction. Therefore, we can rewrite the expression 3/4 / 1/2 as:

3/4 * 2/1

To simplify this expression, we can multiply the numerators and denominators:

(3 * 2) / (4 * 1) = 6/4

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:

6/4 = 3/2

Therefore, 3/4 divided by 1/2, when written with common denominators, is equal to 3/2 or 1.5 as a decimal.

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which of the following statements could be false?
A. The diagonals of a rectangle are congruent.
B. The diagonals of an isosceles trapezoid are congruent.
C. The diagonals of a square are perpendicular and bisect each other.
D. The diagonals of a rhombus are congruent and perpendicular to each other

Answers

Optipn (d) is false.

At a particular location on the Atlantic coast a pier extends over the water. The height of the water on one of the supports is 5. 4 feet, at low tide (2am) and 11. 8 feet at high tide, 6 hours later. (Let t = 0 at midnight) a) Write an equation describing the depth of the water at this location t hours after midnight

Answers

If height of water on supports is "5.4 feet", at "low-tide" and 11.8 feet at "high-tide" which is 6 hours later, then the equation for depth of water at this location "t" hours after midnight is d(t) = 1.9×t + 5.4.

We assume that the depth of the water changes linearly with time

At the "Low-Tide", (2 a.m.) the height of water is 5.4 feet,

At the "High-Tide", the height of water is 11.8 feet,

Let d(t) denote the depth of the water at time "t".

By, using "slope-intercept" form of a linear-equation,

We get : d(t) = m×t + b,

where m is = slope and b is = y-intercept,

To find the slope, we use the two points (0, 5.4) and (6, 11.8);

⇒ m = (11.8 - 5.4) / (6 - 0) = 1.0666.. ≈ 1.1,

Now, to find the y-intercept, we use the point (0, 5.4),

We get, d(t) = 1.1×t + 5.4,

Therefore, the equation describing the depth of the water is d(t) = 1.9×t + 5.4.

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Task
In the picture below & and k are parallel:
m
Show that the four angles marked in the picture are congruent.




Help please I’m stuck

Answers

The four angles marked in the picture are equal, so they are congruent.

What are congruent angles?

Congruent angles are angles that have the same measure or value. That is, two angles are congruent if they have the same angle measure.

When two angles are congruent, they have the same shape and size.

Let's call each of the angles formed by line L "a" and "b"

Let's call each of the angles formed by line K "c" and "d"

From the given parallel lines;

angle a = angle b (vertical opposite angles are equal)

angle c = angle d (vertical opposite angles are equal)

angle b = angle c (alternate angles are equal)

angle a = angle d (alternate angles are equal)

So angle a, angle b, angle c and angle d are equal, hence they are congruent.

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editors preparing a report on the economy are trying to estimate the percentage of businesses that plan to hire additional employees in the next 60 days. they are willing to accept a margin of error of ​% but want ​% confidence. how many randomly selected employers will they need to​ contact?

Answers

Rounding up, the editors will need to contact at least 385 randomly selected employers to estimate the percentage of businesses that plan to hire additional employees in the next 60 days with a margin of error of ​% and a confidence level of ​%.


To calculate the sample size, the editors can use the following formula:
n = (Z^2 * p * q) / E^2
where:
- n is the required sample size
- Z is the Z-score corresponding to the desired confidence level (for example, if the desired confidence level is 95%, the Z-score would be 1.96)
- p is the estimated proportion of businesses that plan to hire additional employees (this value is unknown and will be estimated based on past data or other sources)
- q is 1 - p
- E is the desired margin of error
Assuming the editors want a 95% confidence level and a margin of error of ​%, let's say they estimate that 50% of businesses plan to hire additional employees. Plugging these values into the formula, we get:
n = (1.96^2 * 0.5 * 0.5) / (0.05^2)
Simplifying, we get:
n = 384.16
They have a desired margin of error and a desired confidence level, and you need to determine the number of randomly selected employers they must contact.

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When do you use the percent of a number?
No wrong answers for this question

Answers

when it’s a whole and the beginning is not be held into the cemetery al formula king long

Which of the following best describes the figure with vertices:

(-2,0), (-2, 8), (9, 8) and (9, 0)

Answers

Answer:

Step-by-step explanation:

If we connect the four points (-2,0), (-2, 8), (9, 8) and (9, 0), we get a rectangle.

A rectangle is a quadrilateral with four right angles. It has two pairs of parallel sides. The opposite sides of a rectangle are equal in length.

incent borrowed $500 from Mitchell for six months. How much interest will Mitchell earn if he charges Vincent a simple interest rate of 3 percent?

simple interest = P × r × t
A.
$7.50
B.
$15
C.
$75

Answers

The amount of interest Mitchell earn is $7.50.

We have,

P= $500

R= 3%

T= 6 month

 = 6/12

 = 1/2 year

Using Simple Interest

= (P x R x T)/ 100

= (500 x 3 x 1)/ 2 x 100

= 5x 3 /2

= 15/2

= 7.5

Thus, the simple interest is $7.5

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OFF TOPIC QUESTION (i think) if I have 74 algebra 1 lessons on ixl how many should I do a day before may 15

Answers

well your supposed to get a 80 on each of them.. and if you get them everyday and you keep up with them.. you also have to pass so you would have to do a lot like 34 or something… because if that’s last day for grades and you do like ten you’ll still fail so try to do as much as you can honestly

i don't know how to solve this problem. please help.

Answers

Answer:

$2.71 + 4j = $6.75

j = $1.01

Step-by-step explanation:

$2.71 + 4j = $6.75

4j = 6.75 - 2.71 = 4.04

j = 4.04/4 = $1.01

Answer:

$6.75 = $2.71 + 4j

j = $1.01

Step-by-step explanation:

The total amount of money Ava spent was $6.75. We can make this one side of an equation.

The other side of the equation can be what Ava bought for that $6.75. We know that she bought $2.71 of oranges and 4 juice bottles, so we can add these on the other sides of the equation.

[tex]\$6.75 = \$2.71 + 4j[/tex]

To solve this equation for [tex]j[/tex], we can first subtract $2.71 from both sides.

[tex]\textrm{ } \ \$6.75 = \$2.71 + 4j\\\underline{-\$2.71} \ \ \ \ \underline{-\$2.71 \ \ \ \ }[/tex]

  [tex]\$4.04 = 4j[/tex]

Finally, we can divide both sides by 4.

[tex]\$4.04 = 4j\\\overline{\ \ \ 4\ \ \,} \ \ \ \ \overline{\: 4 \:}[/tex]

[tex]\$1.01 = j[/tex]

[tex]\boxed{j = \$1.01}[/tex]

if axis deviation is present, which leads that normally have positive qrs complexes will have negative qrs complexes?

Answers

If there is an axis deviation, it can result in a reversal of the QRS complex polarity in certain leads. Leads that normally have positive QRS complexes may have negative QRS complexes, and vice versa.

For example, if there is a left axis deviation, leads I and aVL, which normally have positive QRS complexes, may have negative QRS complexes.

Axis deviation refers to the direction in which the electrical activity is traveling through the heart. If the electrical activity is deviated from its normal pathway, it can cause a change in the orientation of the QRS complex, which is a graphical representation of the electrical activity generated by the ventricles during the cardiac cycle.

The change in polarity occurs because the direction of the electrical activity is now opposite to what it would be in a normal heart. This change in polarity can be used to help diagnose the location and type of axis deviation. Understanding the significance of the polarity changes can help healthcare providers determine appropriate treatment plans for patients.

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a nationwide survey showed that 4% of childrean like lima beans. what is the probability that any 2 childrean will both like limabeans

Answers

The probability that any two children will both like lima beans is 0.0016 or 0.16%.

Assuming that every child's choice for lima beans is independent of the other, we will use the binomial distribution to calculate the probability that two kids out of a group of will both like lima beans.

Let p be the chance that a child likes lima beans, which we realize is 0.04 primarily based on the survey. The probability that anyone infant does no longer like lima beans is then 1 - p = 0.96.

The possibility that each children will like lima beans is given through the binomial chance mass feature:

P(X = 2) = (2 choose 2) * [tex]p^2 * (1 - p)^{(2-2)} = p^2 = (0.04)^{2 }= 0.0016[/tex]

So the chance that any two children will both like lima beans is 0.0016, or 0.16%. that is a very low probability, this means that that it is not likely that any two children selected at random will both like lima beans.

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Sean, a store manager earns $125. 20 for eight hours of work. How much does he earn per hour?

Answers

Answer:

$15.65 per hour

Step-by-step explanation:

125.20 / 8 = 15.65

Check

15.65 x 8 = 125.20

2. Identify if the following are one-to-one functions or not.
(a) People to their birthdays
(b) People to their Social Security System number
(c) People to their place of residence
[6]

Answers

a. yes cus one person only have one bday
b. yes cus one person have only one unique SSS
c. no cus one person can have many residence
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an organization reimburses managers for graduate school tuition whenever they receive a grade of a or b in management-related courses. this component of the hrm process is explain the difference between the dartos and cremaster muscles. what is their functional purpose? Why no citizen cared to expose his life and honor to become president Suggest three strategies that might solve Fadis problem. In 2006, the supreme court ruled in the hamdan v. rumsfeld case that:________ We wish to determine the moles ofcarbon dioxide produced when50.0 mL of 2.0 M hydrochloric acidreacts with excess sodiumcarbonate.2HCl(aq) + NaCO3(aq) 2NaCl(aq) + HO(1) + CO(g)How many moles of HCI arepresentin 50.0 mL of 2.0 M HCI? Jeremy tosses a fair die that has five sides labeled 1-5.Part AWhat is the probability that Jeremy rolls a 5?A 0% 5% 20% 25%Part BWhat is the probability that Jeremy rolls a 3 or 5? Represent your probability as a decimal. Circle properties problem:3 points.Write a subroutine that outputs the following properties of a circlefrom the diameter and arc angle:The radius of the circle (diameter divided by 2).The area of the circle (3.14 multiplied by the radius squared).The circumference of the circle (3.14 multiplied by the diameter).The arc length (circumference multiplied by the arc angle), divided by 360. A plane is at Manchester, which is 170km north of Worcester. The plane flies in a straight line for 230km and lands in Cambridge, which is directly east of Worcester.Show this information in a diagram.Use your diagram to find the bearing of Manchester from Cambridge. Historians who are troubled by the impact of political corruption on the democratic process will have no sympathy for richard nixon because:_______- suppose that when the level of output for the firm increases from 100 to 110 units, its variable costs increase from $500 to $750. what is the firm's marginal cost? Iron (IV) sulfide + Oxygen gas Iron (III) oxide + sulfur dioxide4FeS2 + 1102 2Fe2O3 + 8SO2Mole to Mole Problem:Using the chemical equation above, assume that 14.56 moles of iron(IV) sulfide are reacted. How moles of Iron(III) oxide will form. Protrusion of the medial border of the scapula posteriorly upon pushing an object may indicate injury to what nerve?A. Axillary nerveB. Dorsal scapular nerveC. Long thoracic nerveD. Suprascapular nerveE. Upper and lower subscapular nerves the jones company learned that several other shippers located in its hometown had customers located in the same markets it serves. with this information, jones could find it advantageous to investigate the potential of . how to make calcium chloride conduct electricity? other than putting it in a solution? You've come upon a resident that has collapsed, and is not responsive- what should you do? CAN SOMEONE HELP WITH THIS QUESTION?A student measures K for a certain blue dye to be 600.4 M^-1 at 560 nm. What is the molarity of the dye in a solution with an absorbance of 0.204 at this wavelength? 12.4. a manufacturer of small hydraulic turbines has the annual cost data given here. calculate the manufacturing cost and the selling price for a turbine. what is the rule for the nth term of the geometric sequence if the third term is 96 and the fifth term is 1,536? A liquid sample has a mass of 2.56kg and a volume of 0.820 L. What is the density of this liquid in kilograms per liter?