What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit.

Answer:

15884

Step-by-step explanation:

just follow the order easy

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer:

Answer:

8

Step-by-step explanation:

7   : 2

We know the larger number is  28

28 : x

We multiply 7 * 4 = 28, so multiply the first ratio by 4

7*4   : 2*4

28  : 8

The second number is 8

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Given that the line passes through the points (-8,4) and (6,20), we can find the slope of the line below.

Explanation

To find the slope of the line we will use the formula below;

From the question we can choose the coordinates to be;

Therefore,

Answer: 8/7

The order approximately 1.1111 cubic yards of topsoil from the dirt store.

The volume of topsoil required in cubic feet.

The area of the garden is:

The area of the garden is found by multiplying the length and width of the garden. In this case, the garden is 15 feet by 12 feet, so the area is 15 ft x 12 ft = 180 sq ft.

Since we want a 2 inch thick layer of topsoil, we need to convert the thickness to feet:

2 inches = 2/12 feet = 0.1667 feet

The volume of topsoil required in cubic feet is therefore:

180 sq ft × 0.1667 ft = 30 cubic feet

To convert this to cubic yards, we divide by 27 (since there are 27 cubic feet in a cubic yard):

The dirt store sells topsoil by the cubic yard, so we need to convert our answer from cubic feet to cubic yards. Since there are 27 cubic feet in a cubic yard (3 feet x 3 feet x 3 feet)

30 cubic feet ÷ 27 = 1.1111 cubic yards

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Answer:

David gets £24, Stephen gets £36, and June gets £36.

Step-by-step explanation:

Firstly, add the ratio values together.

2:3:3  ⇒  2 + 3 + 3 = 8

Next, divide £96 (your total) by 8.

£96 ÷ 8 = £12

Now, we have the number of pounds for 1 value.

Multiply 12 by each ratio value.

12 × 2 : 12 × 3 : 12 × 3

= 24:36:36

Therefore, David gets £24, Stephen gets £36, and June gets £36.

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Answer:

David = £24

Stephen = £36

June = £36

Step-by-step explanation:

Total amount of money = £96

Ratio = 2:3:3

Total ratio = 2+3+3 = 8

David's share = 2÷8×96 = £24

Stephen's share = 3÷8×96 = £36

June's share = 3÷8×96 = £36

Answer:

True

Bones seperated from a joint

Step-by-step explanation:

Answer:

5 is bones separated from the joint

Step-by-step explanation:

The sum of two integers is also an integer.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.

When we conduct an operation on set members and always obtain a set member, the set is said to be closed under that operation. As a result, a set either possesses closure regarding a particular operation or it does not. A set is said to satisfy a closure property if it is closed by an operation or set of operations. A closure property is typically introduced as a hypothesis, known as the axiom of closure.

If a and b two integer.

Then the sum of the integer a + b is also an integer. Thus addition operation closer property.

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The simplification of the the given expression  2/1 - 5/2 : 15/4 is  1/2 : 15/4

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We have been given the number expression that is; \(\dfrac{2}{1} - \dfrac{5}{2} :\dfrac{15}{4}\)

Taking LCM on Left sides by 2:

\(\dfrac{2}{1} - \dfrac{5}{2} :\dfrac{15}{4}\\\\\dfrac{2\times 2}{2} - \dfrac{5}{2} :\dfrac{15}{4}\\\\\\\dfrac{4}{2} - \dfrac{5}{2} :\dfrac{15}{4}\)

Now solve the LCM part;

\(\dfrac{4 - 5}{2} :\dfrac{15}{4}\\\\\\\dfrac{-1}{2} :\dfrac{15}{4}\)

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The complete question is

Simplify the given expression  \(\dfrac{2}{1} - \dfrac{5}{2} :\dfrac{15}{4}\).

The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of "Law of Multiple Proportions."

When two elements combine to form and over one compound, the weights with one element which combine with such a fixed weight of the second are in a ratio of small whole numbers, according to the law of multiple proportions.

Some key features regarding the Law of Multiple Proportions are-

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The complete question is-

Carbon monoxide can be broken down into carbon and oxygen in a mass ratio of 3:4 or 0.75. Carbon dioxide can be broken down into carbon and oxygen in a mass ratio of 3:8 or 0.375. The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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There are 19/9 ounces in each sprinkle of sundae

From the question, we have the following parameters that can be used in our solution:

Number of sundaes = 4

Ounces of sprinkles = \(8\frac49\) ounces

From the above parameter, we can calculate the amount of sprinkles using the constant of proportionality formula

This is represented as

Ounces per sprinkle = Ounces of sprinkles/Number of sprinkles

Substitute the known values in the above equation

So, we have the following equation

Ounces per sprinkle = \(8\frac49\)/4

Evaluate the quotient

Ounces per sprinkle = 19/9

Hence, the ounces per sprinkle is 19/9 ounces

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Answer:

Rational numbers can be shown in the form of p/q.

The sum of two rational numbers is always rational.

The sum of two irrational numbers is always irrational.

This question is incomplete or incorrect.

None of the choices is equivalent.

Answer:

1.

1632 can be written as 1632/1. Rational

0.25 can be written as 25/100. Rational

0.0300300030... cannot be written as fraction. Irrational

0 is also irrational

2. Sum of two rational number = rational number

Sum of two irrational number = Rational or irrational number

3. Incomplete

The parametric equations of the line are:

x = 2

y = 1 - t

z = t

And the symmetric equations of the line are:

x - 2 = 0

y - 1 = -1

z = 1

For the line through the point (2, 1, 0) and perpendicular to both i + j and j + k, we can determine the direction vector of the line.

First, let's find the direction vector by taking the cross product of the vectors i + j and j + k:

(i + j) × (j + k) = i × j + i × k + j × j + j × k

= k - i + 0 + i - j + 0

= -j + k

Therefore, the direction vector of the line is -j + k.

Now, we can write the parametric equations of the line using the given point (2, 1, 0) and the direction vector:

x = 2 + 0t

y = 1 - t

z = 0 + t

The parameter t represents a scalar that can vary, and it determines the points on the line.

To write the symmetric equation, we can use the direction vector -j + k as the normal vector. The symmetric equation is given by:

(x - 2)/0 = (y - 1)/(-1) = (z - 0)/1

Simplifying this equation, we get:

x - 2 = 0

y - 1 = -1

z - 0 = 1

Which can be written as:

x - 2 = 0

y - 1 = -1

z = 1

In summary, the parametric equations of the line are:

x = 2

y = 1 - t

z = t

And the symmetric equations of the line are:

x - 2 = 0

y - 1 = -1

z = 1

These equations describe the line that passes through the point (2, 1, 0) and is perpendicular to both i + j and j + k.

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Answer:

if the condition of the son is very critical

a surgeon will say NO

Because after a successful operation, the son will become like a vegetable

and there's no point of doing so.

It's a torture to the son for the rest of his life.

The second graph  represents the function \(f(x)=8^{\frac{1}{3} x}\)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is

\(f(x)=8^{\frac{1}{3} x}\)

At x=0, f(0)=1

At x=1, f(1)=2

At x=2, f(2)=4

The graph of f(x) passing through the points (0,1), (1,2), (2,4),(3,8).

According to these coordinates we can say that the graph of f(x) is represented by option 2.

Therefore correct option is 2.

Hence, the second graph  represents the function \(f(x)=8^{\frac{1}{3} x}\)

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The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

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Answer: 78

Step-by-step explanation:

Area=b x h
13 x 6 =78

Answer:

78 m

Step-by-step explanation:

The formula to find the area of a rectangle or square = length * Height

A = L * H

In this scenario, the length is 6 and the height is 13

So the area (A) = 6 * 13 = 78

And don't forget your units ;)

Answer:

1.53 times

Step-by-step explanation:

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000143 mm, while the length of the second strain measures 0.0000000937 mm. How much larger is the first strain than the second?

We would have:

First strain : Second strain

0.000000143 mm : 0.0000000937 mm

How much larger is the first strain than the second?

We divide both by the length of the second strain

0.000000143/0.0000000937 : 0.0000000937 / 0.0000000937

1.52614727855 times

Approximately = 1.53 times

Given:

The first 10 GB of data costs $3 per GB.

After exceeds 10 GB, the company charges $15 for each GB.

Required:

We need to find the function for the given situation.

Explanation:

Let x be the number of GB that "Demetrius' used.

Let f(x) be the cost.

The first 10 GB of data costs $3 per GB.

After exceeding 10 GB, the company charges $15 for each GB

Final answer:

Answer:

D) 51 ft.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The probability that fewer than 3 of them use their smartphones in meetings or classes is 0.0366.

The binomial probability distribution is a discrete probability law with two parameters: trial number (n) and success probability (p) (p). When there are two mutually exclusive outcomes of finite trials, the binomial distribution is utilised.

The probability that a specific 3 people all use their smartphones in meetings or class is 0.53³.

Probability that remaining 7 people do not use their phone is 0.47⁷

¹⁰C₃ = 10*9*8/(3*2*1) = 120.

Thus, the probability of exactly 3 people using their smartphones in meetings or in class is 10C3*0.533*0.477, or 0.0905.

So, adding up the 3 possibilities (that 0 of them, 1 of them, or 2 of them use their smartphones in meetings or class) we get

¹⁰C₀*0.530*0.4710 + ¹⁰C₁*0.531*0.479 + ¹⁰C₂*0.532*0.478 = 0.0366.

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Complete question:

Assume that when adults with smartphones are randomly​ selected, 53​% use them in meetings or classes. If 10 adult smartphone users are randomly​ selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

a. The probability that a train arrives in 35 minutes or more is 0. This is because, according to the uniform probability distribution, there should be a 100% chance (probability of 1.00) that a train will arrive within the 0 to30-minutes time frame.
b. It may be possible that there were additional factors affecting the train schedule that your friend was not aware of, such as delays or schedule changes.

a. Given your friend's information, the probability of a train arriving in 35 minutes or more would be 0 because according to your friend, a train stops at the station every 30 minutes. Therefore, the maximum waiting time should have been 30 minutes.

b. Based on your actual experience of waiting for 35 minutes, you can conclude that your friend's information about the train schedule was not accurate or up-to-date. It is possible that the train schedule has changed or that there was a delay or some other unforeseen circumstance that caused the train to arrive later than expected. It is important to verify the information and not rely solely on assumptions or generalizations.

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Opposite angles of a parallelogram are congruent.

\(9x-13=14+6x \\ \\ 3x-13=14 \\ \\ 3x=27 \\ \\ x=9\)

This means \(m\angle ADC=68^{\circ}\).

The given vector equation represents a twisted tube or helix in three-dimensional space. The given vector equation r(s, t) = s sin(5t), s², s cos(5t) represents a parametric surface in three-dimensional space.

To identify the surface, let's analyze the components of the vector equation:

x = s sin(5t)

y = s²

z = s cos(5t)

From the equation, we can observe that the variable s appears in all three components. This suggests that the surface is radial, meaning it extends outward from the origin (0, 0, 0) or contracts towards it.

The trigonometric functions sin(5t) and cos(5t) indicate periodic behavior along the t direction. These functions oscillate between -1 and 1 as t varies.

The component s² indicates that the surface extends or contracts based on the square of s. When s > 0, the surface expands outward, and when s < 0, it contracts towards the origin.

Considering these observations, we can identify the surface as a twisted tube or a helix that extends or contracts radially while twisting in a periodic manner along the t direction.

In summary, the given vector equation represents a twisted tube or helix in three-dimensional space.

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