Answer:
[tex]4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) = 3 \\ [/tex]
[tex]LHS = 4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) \\[/tex]
let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.
here ,
[tex] \cot(45) = 1 \\ \\ \tan(60) = \sqrt{3} \\ \\ \sec(60) = 2[/tex]
now ,
we just have to plug in the values considering certain other things given in the question and we're done!
so let's start ~
[tex]4(1) {}^{2} - 3( \sqrt{3} ) {}^{2} + 2(2) {}^{2} \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS[/tex]
hence , proved ~
hope helpful :D
Based on the graphs of the equations y = 2x + 4 and y = x2 – x + 4, the solutions are located at points:
(3, 10) and (–2, 0)
(–2, 0) and (0.5, 3.75)
(3, 10) and (0, 4)
(0.5, 3.75) and (0, 4)
The solution of the equations y = 2x + 4 and y = x² – x + 4 will be (0, 4) and (3, 10). Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The system of the equations are given below.
y = 2x + 4 …1
y = x² – x + 4 …2
From equation 1 and 2, then the equation will be
x² – x + 4 = 2x + 4
x² – 3x = 0
x(x – 3) = 0
x = 0, 3
At x = 0, the value of the y will be
y = 2(0) + 4
y = 0+ 4
y = 4
At x = 3, the value of the y will be
y = 2(3) + 4
y = 6 + 4
y = 10
Thus, the solution of the equations will be (0, 4) and (3, 10).
Then the correct option is C.
The graph of the line and the parabola is given below.
More about the solution of the equation link is given below.
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1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
A) Replace 3 with -3.
B) Replace x with -x.
C) Add -6 to the right side.
D) Replace x with -x and subtract 6 from the right side.
Using the concept of y-intercept, it is found that the response that is not correct is given by:
B) Replace x with -x.
What is the y-intercept of a function?It is the value of the function when x = 0, hence it is the point (0, f(0)).
In this problem, the function is:
[tex]f(x) = 3(2)^x[/tex]
The y-intercept is given by:
[tex]f(0) = 3(2)^0 = 3[/tex]
If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.
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find sine or cosine using identity
Answer:
sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]
Step-by-step explanation:
cos(theta) = [tex]\frac{x}{r}[/tex]
cos(theta) = [tex]\frac{3}{4}[/tex]
so x = 3 , r = 4 , and y =?
Pythagorean Theorem: x^2 +y^2 = r^2 or a^2 +b^2 = c^2
x^2 +y^2 = r^2
(3)^2 +y^2 = (4)^2
9 + y^2 = 16
y^2 = 7
[tex]y=\sqrt{7},-\sqrt{7}[/tex]
In Quadrant 1, so its only [tex]y=\sqrt{7}[/tex].
sin(theta) = [tex]\frac{y}{r}[/tex]
sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]
Please hurry Im timed!!
Divide.
3
2.
mo
-
23
5
9
02
10
11
1
15
ON
9
O3
10
3
014
45
Answer:
39/10
Step-by-step explanation:
.......................
3. What function can be used to model data pairs that have a common ratio? (1 point)
O linear
O quadratic
Oexponential
Onone of the above
Answer:
The function that can be used to model data Paris that have a common ratio is exponential.
On August 31, 2021, Cullumber Company had a cash balance per its books of $26,420. The bank statement on that date showed a balance of $16,780. A comparison of the bank statement with the Cash account revealed the following.
1.The August 31 deposit of $17,220 was not included on the August bank statement.
2.The bank statement shows that Cullumber received EFT deposits from customers on account totalling $2,050 in August. Cullumber has not recorded any of these amounts.
3.Cheque #673 for $1,230 was outstanding on July 31. It did not clear the bank account in August. All of the cheques written in August have cleared the bank by August 31, except for cheque #710 for $2,330, and #712 for $2,220.
4.The bank statement showed on August 29 an NSF charge of $187 for a cheque issued by R. Dubai, a customer, in payment of their account. This amount included an $10 service charge by Cullumber’s bank. The company’s policy is to pass on all NSF service charges to the customer.
5.Bank service charges of $27 were included on the August statement.
6.The bank recorded cheque #705 for $137 as $173. The cheque had been issued to pay for freight out on a sale. Cullumber had correctly recorded the cheque.
Prepare a bank reconciliation at August 31
Prepare the necessary adjusting entries on August 31.
a) The preparation of the bank reconciliation statement on August 31 for Cullumber Company is as follows:
Bank Reconciliation StatementBalance as per bank statement $16,780
Add uncredited deposits of 17,220
Check #705 overstated 36
Less uncashed checks (5,780)
Adjusted bank statement balance of $28,256
b) The preparation of the necessary adjusting entries on August 31 is as follows:
Debit Cash $2,050
Credit Accounts Receivable (EFT deposits) $2,050
Debit Accounts Receivable (R. Dubai) $197
Credit NSF charges $187
Credit Service charges $10
Debit Bank service charges $27
Credit Cash $27
What is bank reconciliation?Bank reconciliation is the comparison of an entity's records with those of its bank, to uncover any differences between these two sets of records of bank transactions.
Bank reconciliation is carried out by the preparation of a bank reconciliation statement, which outlines the deposits, withdrawals, and other activities affecting a bank account for a specific period.
Data and Calculations:Cash balance per books on August 31, 2021 = $26,420
Bank statement balance = $16,780
Analysis of Discrepancies:1. Uncredited deposit = $17,220
2. EFT deposits = $2,050
3. Outstanding checks:
Check #673 = $1,230
Check #710 = $2,330
Check #712 = $2,220
Total outstanding checks = $5,780 ($1,230 + $2,330 + $2,220)
4. NSF charge = $187
Service charge = $10
5. Bank service charges = $27
6. Check #705 overstated = $36 ($173 - $137)
Adjusted Cash Account:Balance as per Cash Book $26,420
EFT deposits $2,050
Less:
NSF charge 187
Bank service charges 27 (214)
Adjusted cash book balance $28,256
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Help Me with this please
Answer:
B) Δ+5
Step-by-step explanation:
Means that Austin has $5 more than Mark
Hope this helps
HELPPP MEE PLEASEEEEEEEEEE
Answer:
How many computers does my family own?
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where there will be variability in that data - Tasks
PLEASE HELP ILL GIVE FIVE STARS AND GIVE BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray.
How old will Ron be in 2 years?
Answer:
Ray is x years old.
Ron is x+y years old.
In 2 years, Ron will be two years older than now, so x+y+2 years old.
Step-by-step explanation:
Enjoy!
Answer:
Ray is x years old.
Ron is x + y years old.
In 2 years, Ron will be two years older than now, so
x + y + 2 years old.
Since their ages are variables, you should only have 1 clear digit which is 2. Due to the information given
In Finland UK the elevation from sea level is -4 m in San Diego US it is +40 feet the elevations are given in different units explain how to tell which location has a greater division
San Diego, US has a greater elevation
Step-by-step explanation:[tex]-4m < +40\%[/tex]
[tex]\&\ positive\ numbers\ are\ always\ greencer\ than[/tex]
[tex]negative\ numbers?[/tex]
[tex]So\ San\ Diego,\ US\ has\ a\ greater\ elevation[/tex]
I hope this helps you
:)
Charlie kicked the football 71 yards. He kicked it 48 more yards than his brother.
How far did his brother kick the football?
Show your work in the box below.
Answer:
23 yards
71 - 48 = 23
this is the answer to your question
if this helpful to you give me a brainliest.....
Statistics 1
You are buying uniforms for young male military recruits. You know the mean chest size and the standard deviation of the chest size. About what proportion of the chest sizes of the recruits would you expect to be within one standard deviation of the mean chest size? Choose the best answer below
A. 50%, if the mean chest size is Normally distributed
B. 2/3
C. 50%, if the chest sizes are Normally distributed
D. 68%, if the chest sizes are Normally distributed
E. 95%
At a local grocery store, each apple cost $1.89 and each orange cost $2.59. A total of 35 apples and oranges were purchased for a total of $79.95. Let x= number of apples and y=number of oranges. Write a system of linear equations that model the given information. Solve the system to determine the number of apples and oranges that were purchased.
x+y=35
1.89x+2.59y=79.95
y=35-x (and now we put this instead of 'y' in the second equation)
1.89x+2.59(35-x)=79.95 (now we solve this equation)
1.89x+90.65-2.59x=79.95
0.7x=10.7
x=15
y=35-15=20
ANSWER:
15 apples
20 oranges
Anthony has a square-shaped, wooden board. To build a door, he uses the board and cuts 3 feet off of its width. The new area of the wooden board is given by the expression below, where x represents the length in feet.
x(x-3)
Which statement best describes the term (x - 3)?
PLSSS ANSWER
[tex]\sqrt{28-3(4)}[/tex]
Answer:
[tex]\boxed{\sf{4}}[/tex]Step-by-step explanation:
Use the order of operations to solve this problem.
[tex]\Longrightarrow: \sf{\sqrt{28-3(4)} }[/tex]
Remove parentheses.
→ (4)=4
Rewrite the problem down.
[tex]\Longrightarrow:\sf{\sqrt{28-3*4} }[/tex]
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract→ 28-3*4
Multiply.
→ 3*4=12
→ 28-12
Subtract.
→ 28-12=16
[tex]\Longrightarrow:\sf{\sqrt{16} }[/tex]
[tex]\Longrightarrow\sf{\sqrt{16}=4^2 }[/tex]
Use the radical rule.
[tex]\Longrightarrow: \sf{4^2=\boxed{\sf{4}}[/tex]
Therefore, the correct answer is 4.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]\±4[/tex]
Step-by-step explanation:
Given expression: [tex]\sqrt{28 - 3(4)}[/tex]
Here, we can see that the terms, 28 and 3(4) are inside the root. Since the two terms are inside the root, we can subtract them. Therefore:
[tex]\implies\sqrt{28 - 3(4)}[/tex][tex]\implies\sqrt{28 - 12}[/tex][tex]\implies\sqrt{16}[/tex]Usually, [tex]\sqrt{16}[/tex] can also be written as [tex]\sqrt[2]{16}[/tex]. Therefore:
[tex]\implies\sqrt[2]{16} = \sqrt[2]{4 \times 4} = \± 4[/tex]Therefore, the simplified expression is ±4.
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I need help please I need help please
Answer:
1/8 of the class voted for the nature park
Step-by-step explanation:
there is only 1/4 votes left because 3/4 voted for the museum. 1/8 is half of 1/4. So the answer must be another 1/8 to equal 4/4 or 1.
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After graduation from college, Justin decided to join a new company. He agreed to a salary which will increase by 3.7% each year and will earn 77,536 for his twelfth year of work.
Part A: To the nearest dollar, what is Justins starting salary?
Using an exponential function, it is found that Justin's starting salary was of $50,137.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that r = 0.037 and A(12) = 77536, hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]77536 = A(0)(1.037)^{12}[/tex]
[tex]A(0) = \frac{77536}{(1.037)^{12}}[/tex]
A(0) = 50137.
Justin's starting salary was of $50,137.
More can be learned about exponential functions at https://brainly.com/question/25537936
What is If a = 3, then 2ª=
Answer:
2^3 = 2 * 2 * 2 which equals 8
Step-by-step explanation:
You buy apple chips and banana chips in the ratio of 2 : 7. How many ounces of banana chips do you buy when you buy n ounces of apple chips?
Answer:
7/2 n ounces of banana
Step-by-step explanation:
a / b = 2/7
re-arrange to
7/2 a = b
n ounces of apple would result in
7/2 n = banana chip ounces
A bookstore has 120 science fiction books. It has 30% fewer mysteries than science
fiction books. It has 25% more biographies than mysteries. How many biographies
are in the bookstore? Show your work.
Answer:
105
Step-by-step explanation:
Explanation is in photo
What is 40% of 160?
OA 20
OB. 40
OC. 32
OD. 64
OE 75
The correct answer would be D. 64
The 40 percentage of 160 is 64, the correct option is D.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Total value= 160
Percentage= 40%
Now,
To find 40% of 160,
=40%=0.4
We can multiply 0.4 by 160.
=0.4*160
=64
Therefore, by the given percentage the answer will be 64.
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Plss answer it, it is supposed to be done-
Use the shape to complete Questions 8, 9, and 10.
8. Draw a triangle around a point
9. Draw a box around a line segment.
10. Circle an angle.
The answers to the question are all attached given that they are all drawings. The subject here is shapes, lines, and angles.
What is a Triangle around a Point?A triangle around a point is a triangle that is constructed such that a point is equidistant from all the angles and all the sides that triangle. This point is thus referred to as the circumcenter of the triangle.
The triangle in the attached image is drawn around point D.
What is a Line Segment?A Line segment is the part of a line with two endpoints. The box in the diagram is drawn between points A and B.
What does it mean to circle an angle?When you put a circle around an angle, you have circled that angle. This most case is used to highlight an angle.
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Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80? Hint: The distance between consecutive horizontal gridlines is 0.004.
PLEASE HELP
Using the area of the right triangle, it is found that the probability of a value in the sample space being anywhere from 60 to 80 is of 16%, hence option A is correct.
What is the area of a right triangle?
The area of a right triangle is given by half the multipliction of it's sides.
In this problem, the total area has sides 0.04 and 50, hence:
T = 0.04 x 50/2 = 1.
The area between 60 and 80 has sides 0.016 and 20, hence:
D = 0.016 x 20/2 = 0.16.
The probability is of 16%, hence option A is correct.
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Answer:
16%
Step-by-step explanation:
A right triangle has a hypotenuse with a length 12 and a leg with
length 5. How long is the triangle's other leg?
Answer:
13
Step-by-step explanation:
pythagorean theorum
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
c^2=169
c=13
The length of the triangle's other leg is approximately 10.908.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the Pythagorean theorem to solve for the length of the other leg of the right triangle.
The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides (the legs).
That is, for a right triangle with legs a and b and hypotenuse c:
c² = a² + b²
In this case,
We know that the hypotenuse has a length of 12 and one of the legs has a length of 5.
Let's denote the length of the other leg as "x".
So we can set up the equation:
12² = 5² + x²
Simplifying, we get:
144 = 25 + x^2
Subtracting 25 from both sides, we get:
119 = x²
Taking the square root of both sides, we get:
x ≈ 10.908
Therefore,
The length of the triangle's other leg is approximately 10.908.
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Three same-sized cubes are glued together as shown below.
f the side length of each cube is 4 inches, what is the surface area of the figure?
A.
240 square inches
B.
192 square inches
C.
224 square inches
D.
288 square inches
Answer:
C
Step-by-step explanation:
the surface consists of
3 front squares
3 back squares
2 right side squares
2 left side squares
2 top squares
2 bottom squares
that means we have in total 14 squares.
one square is 4×4 = 16 in²
so the total surface area is
14 × 16 = 224 in²
Solve x2 - 64 = 0.
1. Isolate x2: x2 = 64
2. Apply the square root property of equality: Vx3 = +/64
3. Isolate the variable:
Answer: x = ±8
Step-by-step explanation:
x^2 – 64 = 0
Add 64 to each side
x^2 – 64 +64= +64
x^2 = 64
Take the square root of each side
sqrt(x^2) = ±sqrt(64)
x = ±8
Reduce the fraction 1602
-450
Answer:
the redued version of the fration 1602/420 is 3 14/25
Answer:
89/25
Step-by-step explanation:
you divide 1602 and 450
80, 85 ,53 , 68 , 99, 87 73, 88, 75, 76, 78, 79, 91 , 95 compute mean of the data
Answer:
80.5
Step-by-step explanation:
80 + 85 + 53 + 68 + 99 + 87 + 73 + 88 + 75 + 76 + 78 + 79 + 91 + 95 = 1,127
mean = total sum / numbers of numbers
mean = 1,127 / 14
= 80.5
Write the algebraic expression that represents the phrase “the quotient of a number and 4?”
Answer:
x/4
Step-by-step explanation:
Over the last 16 years Johanna saved some of her pay each month. She now has $46,000. She decides to invest some
of it at 5.25% annual interest and the rest at 3.75% annual interest. After one year, her total interest earned from both
accounts is $2001. How much did she invest in each account? (Clearly label which amount is for which account in
your answer.
The amount invested in the account that gives a 5.25% interest is $18400.
The amount invested in the account that gives a 3.75% interest is 27600.
What are the linear equations that represent this question?0.0525a + 0.0375b = 2001 equation 1
a + b = 46000 equation 2
Where:
a = amount invested in the account that gives a 5.25% interest
b = amount invested in the account that gives a 3.75% interest
What is the amount invested in the account that gives a 3.75% interest?
Multiply equation 2 by 0.0525
0.0525a + 0.0525b = 2415 equation 3
Subtract equation 1 from equation 3
414 = 0.015b
b = 27600
What is the amount invested in the account that gives a 5.25% interest ?Subtract 27600 from 46000
46000 27600 = $18400
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