Answers
Answer:
d) 90 degree
Explanation:
Note the below properties of a rhombus;
*Diagonals bisect the angles of a rhombus
*In a rhombus, diagonals bisect each other at right angles
From the second statement, we can deduce that the below angles are right angles, that is, they are equal to 90 degrees;
\(\begin{gathered} \angle BFC \\ \angle\text{BFE} \\ \angle\text{CFD} \\ \angle\text{EFD} \end{gathered}\)As seen above, angle BFC is a right angle, that is, it is 90 degrees
Related Questions
Rewrite using a single positive exponent.
5^7/5^4
Answers
Answer:
5³
Step-by-step explanation:
5^7 : 5^4
5^(7-4)
5^3
The cheese cost $3.68 a lb With the total being $58.88 How many lbs is that cheese?
Answers
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.
Let P(x) be a predicate in the domain consisting of just the numbers 0 and 1. Let p be the statement P(0) and let q be the statement P(1).
(a) Write (∀x)P(x) as a propositional logic formula using p and q.
(b) Write (Ǝx)P(x) as a propositional logic formula using p and q.
(c) In this situation, which derivation rule from propositional logic corresponds to the universal and existential negation rules of predicate logic?
Answers
(∀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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Here's a graph of a linear function. Write the
equation that describes that function.
xpress it in slope-intercept form.
Answers
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
Sam must practice piano for 75 minutes each week. He played 15 minutes on Monday and 36 minutes on Wednesday. How much did he have to play on Friday to finish all 75 minutes?
Answers
Answer:
He had 24 minutes to finish all the hours
Step-by-step explanation:
75-51=24
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
Answers
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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please help me asap
Answers
Answer:
Step-by-step explanation:
it is B
Please answer this correctly
Answers
Answer:
282.74
Step-by-step explanation:
A=2πrh+2πr2=2·π·5·4+2·π·52≈282.74334
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
Answers
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.
The table below shows the number of painted pebbles of Claire and Laura. If Greg chooses a pebble at random from the box 75 times, replacing the pebble each time, how many times should he expect to choose a yellow pebble?
A) 11
B) 33
C) 32
D) 22
Answers
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.
The number of times that Greg chooses a yellow pebble is 22 times.
Finding the number of choices:
To find the number of possible choices, calculate the number of chances in the total number of
outcomes.
Since we need to find the number of choices that are expecting a yellow pebble, find the total number of yellow pebbles in the number of pebbles in both Claire and Laura's cases and find the total number of yellow pebbles.
Here we have
A table below shows the number of painted pebbles by Claire and Laura
From the table,
Number of pebbles that Laura painted = 8 yellow,
7 green, 10 blue
Number of pebbles that Claire painted = 14
yellow, 5 green, 6 blue
Total number of yellow pebbles = 8 + 14 = 22
Given that
Greg chooses a pebble at random from the box 75 times, and each time replaces the pebble
Hence, the number of time that Greg get yellow
pebble = number of yellow pebbles
Therefore,
The number of times that Greg chooses a yellow pebble is 22 times.
Find the unknown angle measure.
Answers
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
(5-2) x 180 = 540Now we have to find the sum the sum of the angles we are given
113 + 98 + 103 + 118 = 432And take that away from 540
540 - 432 = 108Our answer is 108!
Hope this helps, have a lovely day! :)
A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km? [1 mile = 1.6 km]
Answers
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,
\(\frac{1}{112}\times60=0.535\)Gallon of fuel required is 0.535.
4n - 30 = 7(-2n + 2) +10
Answers
Distribute them at the numbers, add 30 to both sides of the equation then simplify. Then add 14 to both sides of the equation. Simplify again. Divide both sides of the equation by the same factor. Simplify. Answer is n=3
answer to problem:
n = 3
4 to the 3 power, x 4 to the 4th power, divide by 4 to the 9th power
Answers
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.
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
Answers
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
1. In the right triangle shown below, determine the value of x. (Round to the nearest
tenth.)
Answers
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
Help me please in need of it
Answers
Answer:
-2
Step-by-step explanation:
Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).
What is the value of x?
Answers
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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what is the value of x?
Answers
Answer:
33
Step-by-step explanation:
if you set it as an equation equal to 180 its easier to tackle
Two people leave from the same point. One travels 12 meters north. The other travels 9 meters east. How far apart are they?
Answers
Answer:
It would be 3 meters apart
y bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expens prepare bank reconcilation
Answers
The adjusted bank balance after reconciling is Br. 5,224.42.
How the bank reconciliation will be prepared?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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One of the lamp posts at a shopping center has a motion detector on it, and the equation (x+16)2 + (y-13)² = 36 describes the boundary within which motion can be sensed. What is the greatest distance, in feet, a person could be from the lamp and be detected? A. 6 ft B. 12 ft C. 36 ft D. 72 ft
Answers
The greatest distance, in feet, a person could be from the lamp and be detected is: B. 12 ft
How to find the greatest distance?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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Write the following number as an improper fraction:
-12 2/3
Answers
36+2= 38
so the answer is -38/3
-38/ 3
Step-by-step explanation:
hope it helps!
....
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
Answers
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.
HELP ME. I HATE MATH DUDE.
Answers
write an equation that you can use to slove for x enter your answer in the box
Answers
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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TYPE OkOk12 AND YOU WIN Brainliest
Answers
Answer:
okok12
Step-by-step explanation:
okok12 okok12 okok12
A baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop. How many scoops will she need for the recipe?
Answers
Which expression is equival 81 1/3?
Answers
Answer: 3^3 Square root 3
Step-by-step explanation:
What is the area of this triangle? Enter your answer in the box. in² Triangle. Base is labeled 10 inches. A segment extending from the opposite vertex making a right angle with the base is labeled 4 inches.
Answers
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