Use the net to find the size of the base and the height of each triangular face of this square pyramid. Enter your answers in the boxes. A net shown on a grid with a square in the center and a triangle connected to each side of the square. The square has side length 4 and the distance from the side of the square to the top of each triangle is 2.

Answer:

62

Step-by-step explanation:

IM NOT SURE I THINK BUT hope this helps :)

Francisco teaches group lessons to all of the violin and viola students at the Scott School of Music. All of his classes have the same number of students.

What is the greatest number of students he can have in each class We can determine the greatest number of students that Francisco can teach in each class by finding the greatest common factor (GCF) of the total number of violin and viola students at the school.

Suppose there are a total of m violin students and n viola students. Then the total number of students at the school is m + n. Let's find the GCF of m and n in order to determine the greatest number of students Francisco can teach in each class.

GCF of m and n will give us the number of students that can be divided equally among all the classes. Following the steps to find GCF :

Step 1 :List down all factors of m and n

Step 2 :Identify the common factors of both m and n

Step 3 :Find the largest common factor m and n. We find the factors of m and n below: Suppose m = 36 and n = 72.Therefore, the greatest common factor of m and n is 36.So, the greatest number of students that Francisco can teach in each class is 36.

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The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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Answer:

6×3 is 18÷2 is 9 so the triangle is 9units square

y is directly proportional to x

y = kx

from,

3y = -7xy

y = -7/3 x

by comparing the 2 eqns,

k = -7/3

9514 1404 393

Answer:

Step-by-step explanation:

Arithmetic sequence

The terms of an arithmetic sequence have common difference. If the missing term is x, then the difference between terms is the same:

  x -250 = 10 -x

  2x = 260 . . . . . . add 250+x to both sides

  x = 130 . . . . . . . . divide by 2

The missing term of an arithmetic sequence is 130.

(the common difference is -120)

__

Geometric sequence

The terms of a geometric sequence have a common ratio. If the missing term is x, then the ratios between terms are the same:

  x/250 = 10/x

  x^2 = 2500 . . . . . . . multiply both sides by 250x

  x = ±√2500 = ±50 . . . take the square root

The missing term of a geometric sequence is +50 or -50.

(the common ratio is ±1/5)

Answer:

89

Step-by-step explanation:

\( {3}^{4} + \frac{18}{3} + 2 \\ = 82\)

o Answer:

It's 89 and I didnt mean to reaspond to this question so report it

Explanation:

Let the recurring decimal be x

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

x = 0.216216216216...

1000x = 216.216216...

1000x - x = 216

999x = 216

x = 216/999

x = 8/37

Answer:

Let x equal the recurring decimal:

\(\sf Equation\:1: \quad x=0.216216216...\)

Create another number with recurring 216s by multiplying the above expression by 1000:

\(\sf Equation\:2: \quad 1000x=216.216216...\)

Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:

\(\sf \implies 1000x-x=216.216216...-0.216216...\)

\(\sf \implies 999x=216\)

Divide both sides by 999:

\(\sf \implies \dfrac{999x}{999}=\dfrac{216}{999}\)

\(\sf \implies x=\dfrac{216}{999}\)

Simplify:

\(\sf \implies x=\dfrac{216 \div 27}{999 \div 27}=\dfrac{8}{37}\)

Using the normal distribution, there is a 0.209 = 20.9% probability that the commute on a particular game day exceeds the commute on a particular non-game day.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Researching the problem on the internet, on game days, the parameters are:

\(\mu = 20, \sigma = 9\)

On non-game days, the parameters are:

\(\mu = 12, \sigma = 4\)

For the distribution of differences, the mean and the standard deviation are given by:

The desired probability is P(X > 0), which is one subtracted by the p-value of 0, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (0 - (-8))/9.85

Z = 0.81

Z = 0.81 has a p-value of 0.7910

1 - 0.7910 = 0.209 = 20.9% probability that the commute on a particular game day exceeds the commute on a particular non-game day.

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Answer:

201.5

Step-by-step explanation:

806/4=201.5

this is the answer

Answer:

201.5

Step-by-step explanation:

The value of y of the given triangle using law of sines is: 5.20

The law of sines is basically one of two trigonometric equations commonly applied to find lengths and angles in scalene triangles

The Law of Sines is the relationship that exists between the sides and angles of non-right (oblique) triangles . It simply states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.

Using the formula for law of sines, we have:

y/sin 48 = 7/sin 90

y = 7 * sin 48/sin 90

y = 5.2

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Answer:

2

Step-by-step explanation:

p/2-5

You can use PEMDAS to help:

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

So, first we have to substitute 14 for p to get:

14/2-5

Next, comes division before subtraction, so we can rewrite the equation as this:

(14/2)-5

7-5

=2

Answer:

27.5

Step-by-step explanation:

Well for me i would divide 110 by 4 because there are 4 sides and that will be your answer

To solve problems, construct one-variable equations and inequalities.

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

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Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

As the complement of K, K', is an open set, it follows that K is a closed set.

To show that K is a closed set, where K = {x : h(x) = 0} and h : R → R is a continuous function, we can prove that the complement of K is an open set.
Define the complement of K.
Let K' be the complement of K, so K' = {x : h(x) ≠ 0}.
Show that K' is an open set.
To show that K' is an open set, we need to prove that for every point x in K', there exists an open interval (a, b) containing x such that (a, b) is a subset of K'.
Use the continuity of h.
Take any point x in K'. Since h(x) ≠ 0, there exists a small interval (a, b) around x such that h(x) remains non-zero in the interval. This is because h is continuous, and a continuous function preserves the sign of non-zero values within some small interval.
Establish the subset relationship.
We have established that there is an interval (a, b) around x such that h(x) ≠ 0 for all x in (a, b). This means that (a, b) is a subset of K', as K' consists of all x with h(x) ≠ 0.
Conclude that K' is an open set.
Since we have shown that for every point x in K', there exists an open interval (a, b) containing x such that (a, b) is a subset of K', we can conclude that K' is an open set.
Conclude that K is a closed set.

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Answer:

67.5 (rounded down to 67, usually)

45/2 is 22.5 so that is for one hour

22.5 x 3 = 67.5

Answer:

add me on brainliest please

Step-by-step explanation:

65 is the answer

Answer:

17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x - 3y

y = 5, x = 32

Step 2: Evaluate

Answer:

\( \huge{ \orange{y + 3 = 2(x + 7)}}\)

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1) \\ \)

where

m is the slope

( x1 , y1) is the point

From the question we have

\(y - - 3 = 2(x - - 7) \\ y + 3 = 2(x + 7)\)

Hope this helps you

Answer:

Therefore, the surface area of the composite figure is 368 cm².

Step-by-step explanation:

To find the surface area of the composite figure, we need to find the areas of each individual face and add them together.

The triangular prism has two triangular faces and three rectangular faces.

The area of each triangular face is 1/2(base × height).

Area of each triangular face = 1/2(10 × 5) = 25 cm²

The area of each rectangular face is length × width.

Area of the rectangular face with dimensions 5 cm by 10 cm = 5 × 10 = 50 cm²

Area of the rectangular face with dimensions 5 cm by 10 cm = 5 × 10 = 50 cm²

Area of the rectangular face with dimensions 10 cm by 8 cm = 10 × 8 = 80 cm²

Total area of the triangular prism = 2 × 25 + 3 × 50 + 80 = 280 cm²

The rectangular prism has two rectangular faces and four square faces.

The area of each rectangular face is length × width.

Area of the rectangular face with dimensions 4 cm by 5 cm = 4 × 5 = 20 cm²

Area of the rectangular face with dimensions 4 cm by 5 cm = 4 × 5 = 20 cm²

The area of each square face is side × side.

Area of each square face with side length 4 cm = 4 × 4 = 16 cm²

Total area of the rectangular prism = 2 × 20 + 4 × 16 = 88 cm²

The total surface area of the composite figure is the sum of the surface areas of the triangular prism and the rectangular prism.

Total surface area = surface area of triangular prism + surface area of rectangular prism

= 280 cm² + 88 cm²

= 368 cm²

Answer:

14. 58 degrees

16. 11 degrees

Step-by-step explanation:

14. The sum of all 3 interior angles of a triangle is 180. We know right angles are 90 degrees. So 180 - 90 - 32 = 58 degrees

16. When two parallel lines are cut by a transversal, the corresponding angles have the same measure. So the angle above angle a has the same measure as the 169 degree angle in the same position on the other line. I hope those words make sense. Then angle a and the angle above it (which we know = 169 degrees) combine to make a straight line/straight angle, which = 180 degrees. 180- 169 = 11

Please let me know if you have questions.

The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

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Check the picture below.

Answer:

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

Factor the expression in following steps:

Answer:

B. Make a table of values for y with x values of 0, 1, 2, 3, 4, 5.

Step-by-step explanation:

because if jaeyun gives becky 1 starburst becky will give 3 m&ms

The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.

The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

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