Given the rhombus BCDE, angle EBC=48° and ED=13 Find angle BFC

-38/ 3

Step-by-step explanation:

hope it helps!

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(∀x)P(x) can be written as p ∧ q, (Ǝx)P(x) can be written as ¬p ∨ ¬q, and the universal and existential negation rules of predicate logic correspond to the DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

a) The statement (∀x)P(x) states that P(x) is true for all x in the domain, which consists of just 0 and 1. So, if P(0) is true, represented by p, and P(1) is true, represented by q, then (∀x)P(x) is true. Therefore, (∀x)P(x) can be written as p ∧ q.

b) The statement (Ǝx)P(x) states that P(x) is true for at least one x in the domain, which consists of just 0 and 1. So, if either P(0) is true, represented by p, or P(1) is true, represented by q, then (Ǝx)P(x) is true. Therefore, (Ǝx)P(x) can be written as p ∨ q.

c) The negation of (∀x)P(x), represented as ¬(∀x)P(x), is equivalent to the negation of (∀x)P(x) in predicate logic, represented as (Ǝx)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∧ q) = ¬p ∨ ¬q.

Similarly, the negation of (Ǝx)P(x), represented as ¬(Ǝx)P(x), is equivalent to the negation of (Ǝx)P(x) in predicate logic, represented as (∀x)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

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Answer:

Step-by-step explanation:

it is B

Answer:

20 in³

Step-by-step explanation:

Area of a triangle is half the base times the perpendicular height:

A=0.5bh

=0.5*10*4

=20

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

It would be 3 meters apart

Answer:

5³

Step-by-step explanation:

5^7 : 5^4

5^(7-4)

5^3

Answer:

282.74

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·4+2·π·52≈282.74334

Answer:

33

Step-by-step explanation:

if you set it as an equation equal to 180 its easier to tackle

Answer:

88

Step-by-step explanation:

5 sided polygon is 540

133+98+188+103=452

540-452=88

Answer:

108

Step-by-step explanation:

To find the area of the shape we have to first know the equation for sum of interior angles which is (n-2) x 180, where n is the number of sides!

We know that our shape has 5 sides (pentagon), so we have to plug this into our equation

Now we have to find the sum the sum of the angles we are given

And take that away from 540

Our answer is 108!

Hope this helps, have a lovely day! :)

Answer:

-2

Step-by-step explanation:

Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).

Answer:

12

Step-by-step explanation:

10x - 20 + 6x + 8 = 180

Supplementary angles

Answer:

x = 12

Step-by-step explanation:

The two given angles create a straight line (Definition of Straight Line). This means that:

\((10x - 20) + (6x + 8) = 180\)

First, combine like terms. Like terms are terms that share the same amount of the same variables:

\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 12 to both sides of the equation:

\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)

Next, divide 16 from both sides of the equation:

\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)

12 is your answer.

~

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Given,

A motorcycle travels 70 miles per gallon.

We know,

1 mile =1.6 km

Thus the motorcycle travels,

70 miles=70x1.6 km=112 km.

So, 112 km distance takes 1 gallon of fuel.

Thus to travel 60 km we need,

Gallon of fuel required is 0.535.

The adjusted bank balance after reconciling is Br. 5,224.42.

To prepare the bank reconciliation, we have to analyze the differences between the bank statement balance and the company's ledger balance.

Details

Bank statement balance of Br. 4,964.47 at July 31.

Add: Deposit made after banking hours Br. 410.90

New balance: Br. 5,375.37.

Deduct Erroneously charged check of Br. 79

New balance Br. 5,296.37.

Deduct Outstanding checks:

Check No. 801 of Br. 100.00 (issued on June 15).

Check No. 888 of Br. 10.25 (issued on July 24).

Check No. 890 of Br. 294.50 (issued on July 27).

Check No. 891 of Br. 205.00 (issued on July 30).

Total outstanding checks: Br. 609.75.

New balance: Br. 4,686.62.

Deduct: Incorrectly charged amount of Br. 120.

Add: Correct amount of Br. 210.

Add: Proceeds from the collection Br. 500.

Add: Interest earned on the account balance  Br. 24.75.

Deduct: Returned check of Br. 10

Deduct: Fee charged by the bank for handling the collection Br. 5.00.

Deduct: Check from customer John Br. 50.25.

Deduct the service charge by the bank for the month of July of Br. 12.70.

New balance: Br. 5,224.42.

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Answer:

He had 24 minutes to finish all the hours

Step-by-step explanation:

75-51=24

Answer:

(B) {6,6,7}

Step-by-step explanation:

A criterion to determine if each triplet represents a triangle is the Law of Cosine, which states that:

\(a^{2} = b^{2}+c^{2}-2\cdot b \cdot c \cdot \cos \theta\)

Where \(a\), \(b\) and \(c\) are sides of the triangle and \(\theta\) is the angle opposite to side \(a\). Now, let is clear the cosine function:

\(2\cdot a \cdot b\cdot \cos \theta = b^{2}+c^{2}-a^{2}\)

\(\cos \theta = \frac{b^{2}+c^{2}-a^{2}}{2\cdot b \cdot c}\)

Cosine is a bounded function between -1 and 1, a triplet corresponds to a triangle if and only if result is located between upper and lower bounds. Now let is evaluate each triplet:

a) \(a = 2\), \(b = 5\), \(c = 9\)

\(\cos \theta =\frac{5^{2}+9^{2}-2^{2}}{2\cdot (5)\cdot (9)}\)

\(\cos \theta = 1.133\) (Absurd)

The triplet does not represent a triangle.

b) \(a = 6\), \(b = 6\), \(c = 7\)

\(\cos \theta =\frac{6^{2}+7^{2}-6^{2}}{2\cdot (6)\cdot (7)}\)

\(\cos \theta = 0.583\) (Reasonable)

The triplet represents a triangle.

c) \(a = 6\), \(b = 4\), \(c = 2\)

\(\cos \theta = \frac{4^{2}+2^{2}-6^{2}}{2\cdot (4)\cdot (2)}\)

\(\cos \theta = -1\) (Absurd)

The triplet does not represent a triangle, but a straight line.

d) \(a = 7\), \(b = 8\), \(c = 1\)

\(\cos \theta = \frac{8^{2}+1^{2}-7^{2}}{2\cdot (8)\cdot (1)}\)

\(\cos \theta = 1\) (Absurd)

The triplet does not represent a triangle, but a straight line.

Hence, the correct answer is B.

Answer: 3^3 Square root 3

Step-by-step explanation:

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

answer to problem:

n = 3

The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

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Answer:

okok12

Step-by-step explanation:

okok12 okok12 okok12

Answer:

20.8

Step-by-step explanation:

so x is opposite the 60 degree angle so that means that it is half of the hypotanuese times root three

so then x would be equal

24/12=12 root three which is equal to 20.8

To find out how many pounds of cheese there are, you can divide the total cost by the cost per pound:

$58.88 ÷ $3.68/lb ≈ 16 lbs

So there are approximately 16 pounds of cheese.

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

B) 33 times.

Step-by-step explanation:

The total amount of pebbles is 50. There is 22 yellow pebbles.

Note that 3/2 * 50 is 75. 3/2 * 22 = 33.

He should expect to choose a yellow pebble B) 33 times.

Answer:

We can simplify the expression as follows:

4^3 * 4^4 / 4^9

First, we can simplify the terms in the numerator by adding the exponents of 4:

4^3 * 4^4 = 4^(3+4) = 4^7

Now, we can substitute this value in the expression:

4^7 / 4^9

To divide powers with the same base, we can subtract their exponents:

4^(7-9) = 4^(-2)

Therefore, the simplified expression is:

4^3 * 4^4 / 4^9 = 4^(-2)

So, the final answer is 1/16 or 0.0625.

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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The greatest distance, in feet, a person could be from the lamp and be detected is: B. 12 ft

The equation (x+16)² + (y-13)² = 36 describes a circle with center (-16,13) and radius 6. The motion detector on the lamp post can detect motion within this circle.

To find the greatest distance a person could be from the lamp and still be detected, we need to find the diameter of the circle, which is equal to twice the radius. Therefore, the greatest distance a person could be from the lamp and still be detected is 2(6) = 12 feet.

Therefore, the correct answer is B) 12 ft.

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