I'm giving out a lot of points for this one!

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

For similar question on cuboid.

https://brainly.com/question/29568631  

#SPJ8

Answer:

I need more to solve!!

Have an amazing day!!

A mean is an arithmetic average of a set of observations. The correct option is D.

A mean is an arithmetic average of a set of observations. It is given by the formula,

Mean = (Sum of observations)/Number of observations

To make the calculations easy let's round off the given numbers. Therefore, we can write the values as,

Least expensive A=30

Most expensive B=90

half of order C=70

Now, the mean and the money for half the people can be written as,

Mean = (least + most)/2 = 60

money for half people = 5 × 60

Therefore, the amount of money for half people will be,

Amount of money for half people = 300

Lower limit for amount of the other half = 29.95 × 5 = 149.5

The Upper limit for the amount of the other half = 89.95 × 5 = 449.75

Mean = (149.75 + 449.75)/2 = 299.6Total money spent (Mean) = 299.6 + 299.6 = 599.25

Hence, The Best estimate is $660. This is because it is closest to 599.25.

Learn more about Mean here:

brainly.com/question/15397049

#SPJ1

Ten people ordered calculators. The least expensive was $19.95 and the most expensive was$39.95. Half ordered a $29.95 calculator. Select the best estimate of the amount spent on calculators.

a.$240,

b. $310,

c.$345,

d. $355

Answer: 8 days

Step-by-step explanation:

Depth of well = 10

Each day:

Distance crawled up = 3 feets

Distance crawled down = 2feets

Hence ;

Net distance climbed per day:

(distance climbed up - distance crawled down)

= (3 - 2) = 1

If depth of well = 10 and a net distance of 1 feet is claimed daily,

Then after 7 days, the snail would have climbed up to. (7 × 1 feet) = 7 feets

Then on the 8th day, it will crawl a distance of 3 feets upward, hence, position will be (7 + 3) = 10 feets.

Hence, at this point it would have reached the top of the well , and there would be no avenue to crawl downward at night

Hence it will Take 8 days

The unit twenty-six point seven ounces in terms of milligrams is 756932.3  

To convert ounces (oz) to milligrams (mg), we can use the following conversion factor:

1 oz = 28,349.5 mg

Therefore, to convert 26.7 oz to mg, we can multiply 26.7 by the conversion factor as follows:

26.7 oz × 28,349.5 mg/oz = 756932.3  mg

So, there are approximately 756932.3 milligrams in 26.7 ounces of mass.

Comparing the calculated answer with the options given, we see that the answer is closest to 756,498.15 mg, which is not one of the options.

Therefore, we cannot choose any of the options given.

Read more about metric units at

https://brainly.com/question/3851249

#SPJ1

An inequality for the number of tickets the theater club needs to sell is 10x+8y ≤ 800 and need to sell at the door to reach its goal is 48.

Given:

Tickets to a play cost $10 at the door and $8 in advance. The theater club wants to raise at least $800 from the sale of the tickets from the play. Write and graph an inequality for the number of tickets the theater club needs to sell. If the club sells 40 tickets in advance.

Use x to represent the number of tickets sold at the door and y to represent the number of tickets sold in advance.

Standard form:

10x + 8y ≤ 800

Slope intercept form:

y < (-5/4)x + 100

Slope: -5/4

y-intercept: 100

Tickets sell at the door to reach its goal is:

10x + 8*40 = 800

10x + 320 = 800

10x = 800 - 320

10x = 480

divide by 10 on both sides

x = 480/10

x = 48

Learn more about the inequality here:

https://brainly.com/question/28823603

#SPJ1

Answer:

{x:x is a natural number less than 6}

Step-by-step explanation:

Set builder is a type of set where we have to represent any value inside a set

by using the variable x, v, b, a, c etc.

Eg A={1,2,3,4}

For eg {a: a is a natural number less than 5}

\(-21x^{2}-588\)

let me know if anything is unclear, I'm happy to help!

Answer:665280

Step-by-step explanation:

12•11•10•9•8•7=665280

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

To know more about standard deviation visit:

https://brainly.com/question/23907081

#SPJ1

Answer:

-5/6,-1/4,-0.11,0.567

Step-by-step explanation:

After solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.

Equation: A statement stating the equality of two expressions containing variables or numerical values.

Equation: A formula that uses the equals sign to combine two expressions and declare their equality.

In essence, equations are questions, and the methodical pursuit of solutions to these questions has served as the driving force behind the creation of mathematics.

Sean mass = x

Lan mass = x - 2.5

Then, form the equation and solve it as follows:

x + (x - 2.5) = 121.5

x + x - 2.5 = 121.5

2x - 2.5 = 121.5

2x = 121.5 + 2.5

2x = 124

x = 124/2

x = 62

Then, x - 2.5 = 59.5.

Therefore, after solving the equation we know that the mass of Sean and Ian is 62kf and 59.5 ks respectively.

Know more about equations here:

brainly.com/question/2972832

#SPJ1

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

To know more about Pythagorean theorem visit the link

brainly.com/question/343682

#SPJ1

complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

I think its C

Step-by-step explanation:

Answer:

3 4/8

Step-by-step explanation:

From the problem :

Factor completely :

We need to find the factors of 10 and 7

We have :

10 = 1 x 10

10 = 2 x 5

7 = 1 x 7

We will do trial and error, The sum of the product of the factors must be equal to the middle term which is 19

Let's say for 10 = 1 x 10 and 7 = 1 x 7

(1 x 7) + (1 x 10) = 17 not equal to 19

(7 x 10) + (1 x 1) = 71 not equal to 19

try the other factors of 10.

10 = 2 x 5 and 7 = 1 x 7

(2 x 7) + (5 x 1) = 19 Equal to 19

Now we have the factors, let's arrange in this way :

O will be the outer and I will be the inner.

O is the paired factors of 10 and 7

For O, we have 2 and 7

For I, we have 5 and 1

This will be :

The answer is (2x + 5)(x + 7)

The equation of the line is with the coordinates f(-6) = 9 and f (20) = 5. is y = (-2/13)x + 117/13.

Y = mx + b, where m is the line's slope and b is the y-intercept, is the slope-intercept form of a linear equation. This form is helpful since it provides information about the line's slope and y-intercept in a clear and understandable manner. We can quickly determine the slope of the line (m) and its point of intersection with the y-axis by glancing at the equation (b). By beginning at the y-intercept and using the slope to determine other locations along the line, we can also graph the line using this method.

The slope of the line is given as:

m = (y2 - y1) / (x2 - x1)

Substitute the given coordinates:

m = (5 - 9) / (20 - (-6))

m = -4 / 26

m = -2 / 13

Using the point slope form we have:

y - y1 = m(x - x1)

Using the point (-6, 9):

y - 9 = (-2/13)(x - (-6))

y - 9 = (-2/13)x - 12/13

y = (-2/13)x + 117/13

So the equation of the line is y = (-2/13)x + 117/13.

Learn more about slope intercept form here:

https://brainly.com/question/29146348

#SPJ1

The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

More on breathalyzers can be found here: https://brainly.com/question/26086547

#SPJ1

Answer:

aₙ = 9 + 2n

Step-by-step explanation:

Formula for the nth term of an arithmetic sequence, aₙ with a common difference of d and first term of a₁ is

aₙ = a₁ + d(n-1)

The common difference is the difference between two consecutive terms and is a constant

Here d = 13- 11 = 15-13 = 2

First term is 11

nth term:

aₙ = 11 + 2(n-1)

aₙ = 11 + 2n -2

aₙ = 9 + 2n

So if you wanted the 10 term say it would be

a₁₀ = 9 + 2x 10 = 9 + 20 = 29

Step-by-step explanation:

search-icon-header

Search for questions & chapters

search-icon-image

Question

Bookmark

The value of the expression x

4

−8x

3

+18x

2

−8x+2, when x=2+

3

, is:

Medium

Solution

verified

Verified by Toppr

Correct option is B)

Let f(x)=x

4

−8x

3

+18x

2

−8x+2

Substituting x=2+

3

, we get

f(2+

3

)=(2+

3

)

4

−8(2+

3

)

3

+18(2+

3

)

2

−8(2+

3

)+2

=(2+

3

)

2

((2+

3

)

2

+18)−8(2+

3

)((2+

3

)

2

+1)+2

=(7+4

3

)(4

3

+25)−8(2+

3

)(8+4

3

)+2

=175+48−128−96+2

=1

Hence, option B is correct.

Answer:

x1 = -4,

y1 = 6,

x2 = 3,

y2 = 13

Step-by-step explanation:

{y = x^2 + 2x - 2,

{y = x + 10;

Since both equations are equal to y, they are equal to one another aswell:

\( {x}^{2} + 2x - 2 = x + 10\)

Collect like-terms:

\( {x}^{2} + x - 12 = 0\)

a = 1, b = 1, c = -12

Let's solve this quadratic equation:

\(d = {b}^{2} - 4ac = {1}^{2} - 4 \times 1 \times ( - 12) = 1 + 48 = 49 > 0\)

\(x1 = \frac{ - b - \sqrt{d} }{2a} = \frac{ - 1 - 7}{2 \times 1} = \frac{ - 8}{2} = - 4\)

\(x2 = \frac{ - b + \sqrt{d} }{2a} = \frac{ - 1 + 7}{2 \times 1} = \frac{6}{2} = 3\)

{x1 = -4,

{y1 = -4 + 10 = 6;

{x2 = 3,

{y2 = 3 + 10 = 13

Answer:

(- 4, 6 ) , (3, 13 )

Step-by-step explanation:

y = x² + 2x - 2 → (1)

y = x + 10 → (2)

substitute y = x² + 2x - 2 into (2)

x² + 2x - 2 = x + 10 ← subtract x + 10 from both sides

x² + x - 12 = 0 ← in standard form

(x + 4)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

substitute these values into (2) for corresponding values of y

x = - 4 : y = - 4 + 10 = 6 ⇒ (- 4, 6 )

x = 3 : y = 3 + 10 = 13 ⇒ (3, 13 )

Answer: 96

Step-by-step explanation:

Length = Area/Width

7584/79 = 96 feet

96 x 79 = 7584 ft²

The solutions of x in the circles are

19. x = 7

20. x = 17

21. x = 20

Circle 19

The chords in the circle are intersecting chords

So, we use the equation of intersecting chords as follows

x * 27 = 9 * 21

Divide both sides by 27

x = 9 * 21/27

Evaluate

x = 7

Circle 20

The secants in the circle are intersecting secants

So, we use the equation of intersecting secants as follows

7 * (7 + x) = 8 * (8 + 13)

Divide both sides by 7

7 + x = 8 * (8 + 13)/7

Evaluate

x = 24 - 7

So, we have

x = 17

Circle 21

Here, we have intersecting secant and tangent lines

So, we use the following equation

x * x = 8 * (8 + 42)

This gives

x * x = 400

Take the square roots

x = 20

Read more about circles at

https://brainly.com/question/25871159

#SPJ1

Answer:

216

Explanation:

Answer:

5

Step-by-step explanation:

Answer:

5 I the answer

Step-by-step explanation:

bxhguwwugifyd8yrd8yrse8ys8yes

Answer:

7/5

Step-by-step explanation: To find the square root of a fraction, find the square root of the top and bottom.

Please thank, hope this helps.