the sum of angle of right angled pentagon is 450 degrees and the other side is 150 degrees what is the value of the other 3 angles​

On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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Answer:

Either B or C but i'll have to say B if I had to choose.

Step-by-step explanation:

\( {0.9}^{0} = 1\)

\( {0.9}^{1} = 0.9\)

\(0.9 ^{2} = 0.81\)

\( {0.9}^{3} = 0.729\)

\( {0.9}^{4} = 0.6561\)

\( {0.9}^{5 } = 0.59049\)

As we can tell it decreases slowly.

A rectangle is a quadrilateral ( four sided figure) with different length and breadth.

The array can be taken as the rows.

If we take the first side as the length denoted by L and the second side as breadth denoted by B.

Then the area can be obtained as

length × breadth

L× B

The total area of the quilt is 24 squares which can be obtained as follows

All squares arranged in a single row.

(r³-3 )× 1= 24

12 squares arranged in 2 rows.

(r²+3 )× 2= 24

8 squares arranged in 3 rows.

(r²-1 )× 3= 24

6 squares arranged in 4 rows.

(r²-3 )× 4= 24

3 squares arranged in 8 rows.

(r )× 8= 24

2 squares arranged in 12 rows.

(r-1 )× 12= 24

1 square arranged in 24 rows.

(r-2)× 12= 24

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Answer:

Step-by-step explanation:

8 8 is the anser of 54 and 56

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

For any isosceles right triangle (aka 45-45-90 triangle), the hypotenuse is always equal to sqrt(2) times the leg. If x is the leg and y is the hypotenuse, then

\(y = x*\sqrt{2}\)

which solves to

\(x = \frac{y}{\sqrt{2}}\)

from here we plug in the given hypotenuse y = 10 to get the final answer. Optionally we could rationalize the denominator, but your teacher has chosen not to.

Answer:b

On edge

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Where graph?

Answer:

A frequency distribution table lists the data values, as well as the number of times each value appears in the data set. A histogram is a display that indicates the frequency of specified ranges of continuous data values on a graph in the form of immediately adjacent bars.

Step-by-step explanation:

The standard form for this number is 7.1509 x \(10^4\).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(9 × 1) + (5 × 1100) + (6 × 11,000)

The standard form for this number is written with a decimal number greater than 1 but less than 2 with an exponent of 10.

Now,

= 9 + 5500 + 66,000

= 71509

= 7.1509 x \(10^4\)

Thus,

The standard form is 7.1509 x \(10^4\).

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Answer:

71509

Step-by-step explanation:

Answer:

.............................

B is true, so we can conclude ~~A by disjunctive syllogism.

This proof is based on the inference rules you provided.

D Proof: Premises:

C ---> (~D ---> ~X)

The Modus Ponens Rule was used.

Finally, X /D

Explanation: Using Modus Ponens, we can conclude that D ---> X from premises 1 and 2.

Because premise 2 is true, we can conclude X via modus tollens.

We can conclude that D must be false because X is true.

Evidence for C:

Conditions: A ---> B B

Modus Tollens is the rule that was used.

Finally, C / A

Explanation: Using Modus Tollens, we can conclude from premises 1 and 2 that A.

Because A is false in premise 1, we can conclude that B is true.

Because premise 2 is true, we can conclude C using disjunctive syllogism.

Proof for ~~A:

Premises:

A ---> ~D

~D ---> (~B v ~~A)

A

B

Rule used: Modus Ponens

Conclusion:

~~A /B

Explanation:

From premise 1 and 3, using Modus Ponens, we can conclude that ~D.

From premise 2 and ~D, using Modus Ponens, we can conclude that ~B v ~~A.

From premise 4, B is true, so we can conclude ~~A by disjunctive syllogism.

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The CD will earn $459.375 interest in 30 months and the balance at maturity will be $10,959.375.

Here, we are given that Ralph deposited $10,500 in an CD account that pays 1.75% simple interest for 30 months.

Simple interest can be calculated using the following formula-

Simple interest = Principle(P) × Time(t) × Rate(r)/ 100

Here,

P = 10,500

t = 30/12

r = 1.75

Thus,

Simple interest = 10,500 × 30/12 × 1.75/ 100

= 10,500 × 5/2 × 175/ 10000

= 10,500 × 5/2 × 7/ 400

= 26,250 × 7/ 400

= $459.375

Thus, the CD will earn $459.375 interest in 30 months.

Balance on maturity will be-

$10,500+ $459.375 = 10,959.375

Thus, the balance at maturity will be $10,959.375.

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The value of a triangular piece of land is, 1500 dollars.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We know that;

Area of triangular piece of land = 1/2 x  length x height

Here, Length = 20m

Height = 10m

Hence, We get;

Area = 1/2 x 20 x 10

       = 100 cm²

Since, The land is 15 dollar per square meter.

Hence, The total value is,

Value = 15dollars x 100

         = 1,500 dollars

Thus, The value of a triangular piece of land is, 1500 dollars.

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Answer: 2.40

Step-by-step explanation:

Given: The prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3.

Let x: 6.6, 5, 10.7, 7.3.

n= 4

Mean : \(\overline{x}=\dfrac{\sum x}{n}\)

\(\Rightarrow\ \overline{x}=\dfrac{6.6+5+10.7+7.3}{4}\\\\=\dfrac{29.6}{4}\\\\=7.4\)

Now , standard deviation = \(\sqrt{\dfrac{\sum(x-\overline{x})^2}{n-1}}\)

\(=\sqrt{\dfrac{(6.6-7.4)^2+( 5-7.4)^2+( 10.7-7.4)^2+( 7.3-7.4)^2}{4-1}}\\\\=\sqrt{\dfrac{0.64+5.76+10.89+0.01}{3}}\\\\=\sqrt{\dfrac{17.3}{3}}\approx2.40\)

Hence, the standard deviation of the sample of selling prices = 2.40

The Ratio of area covered  with water to area covered by land is 2.43 * 10⁰

Area covered by water = 361,419,000 km²

Area covered by land = 148,647,000 km²

Ratio of area covered  with water to area covered by land is:

Ratio = 361,419,000 km² / 148,647,000 km² = 2.43 * 10⁰

The Ratio of area covered  with water to area covered by land is 2.43 * 10⁰

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Answer:

Acute isosceles triangle!

Step-by-step explanation:

Hope this helps! :]

Answer:

its either 1/2 of 1/6.........

Answer:

1/24

Step-by-step explanation:

Spinner 1's probability is 1/6

Spinner 2's probability is 1/4

You would multiply the denominators to find that the probability is 1/24

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

B

Step-by-step explanation:

if a polynomial f(x) is divisible by (x - a) , then f(a) = 0

for the polynomial to be divisible by (x - 3) then the polynomial will equal zero when x = 3 , that is

3³ - 9(3)² + 3n - 12 = 0

27 - 9(9) + 3n - 12 = 0

27 - 81 + 3n - 12 = 0

3n - 66 = 0 ( add 66 to both sides )

3n = 66 ( divide both sides by 3 )

n = 22

the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.

716 - 572 = 144

The statement that the one with a higher coefficient of variation exhibits higher variability is true.

The coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.

If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.

To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.

The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.

The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.

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Answer:

1

Step-by-step explanation:

f(-3/5)=-5(-3/5)-2

f(-3/5)=3-2

f(-3/5)= 1

Answer:40

Step-by-step explanation:

21+8=29

29+11=40

Step-by-step explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

\(v = {s}^{2} ( \frac{h}{3} )\)

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)

28. The volume of a rectangular prism

\(v = l \times w \times h\)

where l is length

w is width

h is height

\(v = 11 \times 11 \times 8 = 968\)

29.

Use the same formula in 27

\(v = 100(3) = 300\)

30.

Volume of a Cylinder is

\(v = \pi {r}^{2} h\)

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

\(v = {11}^{2} (8)(\pi)\)

\(v = 968\pi\)

pi is approximately 3.14

\(v = 3041.06\)

31. Volume of A Sphere

\( \frac{4}{3} \pi {r}^{3} = v\)

The radius is half of diamter, thus r=7

\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)

Main Answer: s1=42 mi/hr.

                       s2=30mi/hr.

Concept and definitions should be there:

Just as distance and displacement have distinctly different meanings (despite their similarities), so do speed and velocity. Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. Contrast this to a slow-moving object that has a low speed; it covers a relatively small amount of distance in the same amount of time. An object with no movement at all has a zero speed.

Formula:

s = {d}/{t}

s=speed

d=distance traveled

t=time elapsed

Given data:

one car travels 189 miles on the same time that a second car travels 135 miles.

Solving part:

Let t be the amount of time the cars are traveling

s1=189/t and s2 = 135/t

We are told:

s1=s2+12

That is

189/t=135/t+12

Multiple t on both sides

⇒189 = 135+12t

⇒12t = 189-135

⇒12t = 54

⇒t = 4.5

s1 = 189/4.5

s1 = 42

s2 = 135/4.5

s2=30

Final Answer:s1=42 mi/hr.

                      s2=30mi/hr.

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Answer:

NOTE: I cannot tell from your image whether there is a plus sign or divided sign for the last number on 9, 10 & 11, so I answered them BOTH ways (addition first, then by division).

9) (2^4)*(2^5)*(2^6) + 2^15 = 65536  OR (2^4)*(2^5)*(2^6) / 2^15 = 1

10) (-2^-4)*(-2^2)+(-2^0) = -3/4 OR (-2^-4)*(-2^2)/(-2^0) = -1/4

11) (2^40)*(2^13)+(2^6) = 9007199254741056 OR (2^40)*(2^13)/(2^6) = 140737488355328

12) ((3^2)^3)/3^4 = 9

13) ((4^5)^4)*((4^2)^6) = 18446744073709551616

14) ((5^6*5^4))/5^7 = 125

Step-by-step explanation:

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Carly has $2342.67 in her account in 2047.

Growth rate of the account is 3.75% per year.

To get amount of money Carly has in her account in 2047, we need to substitute t = 2047 into equation \(P = 600(1.0375)^t.\)

Years = 2047 - 2010

Years = 37

\(P = 600*(1.0375)^{37}\\P = 600*(3.90445030158)\\P = 2342.67018095\\P = $2342.67\)

The growth rate is calculated by finding the exponent coefficient in the equation \(P = 600(1.0375)^t\)

Growth rate = (1.0375 - 1) × 100

Growth rate = 0.0375 × 100

Growth rate = 3.75%

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