The expression cos x/cot x simplifies to sin x by utilizing trigonometric identities and canceling out the common cosine terms in the numerator and denominator.
To simplify the expression cos x/cot x, we need to utilize trigonometric identities. Cotangent (cot x) is the reciprocal of the tangent function, so we can rewrite cot x as 1/tan x.
Now, substituting 1/tan x for cot x in the expression cos x/cot x, we have:
cos x / (1/tan x)
To divide by a fraction, we multiply by its reciprocal. Therefore, multiplying cos x by tan x, we get:
(cos x)(tan x)
Using the identity tan x = sin x / cos x, we can substitute sin x / cos x for tan x:
(cos x)(sin x / cos x)
The cos x term in the numerator and denominator cancels out, leaving us with:
sin x
Therefore, the simplified expression for cos x / cot x is sin x.
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The July 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 expense
The reconciled difference between the bank balance and the ledger balance is Br. 479.69.
To reconcile the bank balance with the company's ledger balance, we need to consider the various transactions and adjustments provided in the information.
Starting with the company's ledger balance on July 31:
Ledger balance: Br. 4,173.83
Deposit made after banking hours:
Add: Br. 410.90
Updated ledger balance: Br. 4,584.73
Erroneously charged check:
Add: Br. 79
Updated ledger balance: Br. 4,663.73
Outstanding checks:
Deduct the amounts of the outstanding checks:
Deduct: Br. 100.00 (Check 801)
Deduct: Br. 10.25 (Check 888)
Deduct: Br. 294.50 (Check 890)
Deduct: Br. 205.00 (Check 891)
Updated ledger balance: Br. 4,054.98
Incorrectly charged check:
Add: Br. 90 (Br. 210 - Br. 120)
Updated ledger balance: Br. 4,144.98
Proceeds from collection of interest-bearing note:
Add: Br. 500
Updated ledger balance: Br. 4,644.98
Interest earned on average account balance:
Add: Br. 24.75
Updated ledger balance: Br. 4,669.73
Incorrectly recorded check:
Deduct: Br. 90 (Br. 100 - Br. 10)
Updated ledger balance: Br. 4,579.73
Bank fee for handling note receivable:
Deduct: Br. 5.00
Updated ledger balance: Br. 4,574.73
NSF check from customer:
Deduct: Br. 50.25
Updated ledger balance: Br. 4,524.48
Service charge by the bank:
Deduct: Br. 12.70
Updated ledger balance: Br. 4,511.78
Erroneously recorded check:
Deduct: Br. 27 (Br. 85 - Br. 58)
Final ledger balance: Br. 4,484.78
To reconcile the bank balance, we compare the bank statement balance of Br. 4,964.47 with the final ledger balance of Br. 4,484.78.
Bank statement balance: Br. 4,964.47
Ledger balance: Br. 4,484.78
To calculate the difference:
Bank balance - Ledger balance:
Br. 4,964.47 - Br. 4,484.78 = Br. 479.69
Therefore, the difference between the bank balance and the ledger balance is Br. 479.69.
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There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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simplify (2^-6)(5)(2^3*5)^2
To simplify the expression, we can use the rule of exponents to add the exponents of 2:`2^-6*2^6 = 2^0 = 1`.Therefore, our final answer is:`1(5)(5^2) = 1(5)(25) = 125`
In order to solve this problem, we will use the rule of exponents which states that if we have the same base, then we can multiply their exponents and add them.
If we have the same base, then we can divide their exponents and subtract them. And if we have a power of a power, then we can multiply their exponents.
Given that `(2^-6)(5)(2^3*5)^2`We can first simplify the expression inside the parentheses:`(2^3*5)^2 = 2^6*5^2`
Now we can substitute this back into the original expression:`(2^-6)(5)(2^6*5^2)`
To simplify the expression, we can use the rule of exponents to add the exponents of 2:`2^-6*2^6 = 2^0 = 1`
Therefore, our final answer is:`1(5)(5^2) = 1(5)(25) = 125`
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Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?
Answer:
Since the polynomial is of degree 5 and has three known roots, it has two unknown roots. If the coefficients of the polynomial are real, then the two unknown roots must be either real or a conjugate pair of complex numbers. If the coefficients of the polynomial are complex, then the two unknown roots can be any complex numbers. Therefore, the statement that describes the number and nature of all roots for this function depends on whether the coefficients of the polynomial are real or complex.
Solve for the measure of PMR
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
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Need answers please help
Answer:
-3, 3, 0.54545455, 8, 3.14159265..., 0, 2.44948974, 6
these are the real numbers
Find the probability that a randomly
selected point within the square falls in the
red-shaded circle.
6
18
18
P =
The probability of landing on the red shaded circle is 6/18
Concept of probabilityProbability simply measures the chances at which an event could occur in a sample or population.
Mathematically, Probability is calculated thus:
P(X) = required outcome/ Total possible outcomesHere ,
Required = red circle = 6Entire circle = 18P(red circle ) = 6/18
Therefore, the probability is 6/18
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7, 11, 2, 18, -7 select the next number continuing the pattern
Answer:
29
Step-by-step explanation:
7 + 4 = 11 --> 4 = 2²
11 - 9 = 2 --> 9 = 3²
2 + 16 = 18 --> 16 = 4²
18 - 25 = -7 --> 25 = 5²
Notice that the pattern is adding and then subtracting the next square number up. Therefore, the next number in the sequence would be -7 + 36 = 29 since 6²=36.
Prove segment AM is congruent to segment
СМ.
Using a two-column proof, we can show that segment AM is congruent to segment СМ as explained below in the given table.
How to Prove that the Segments in the Parallelogram are Congruent?The image attached below shows parallelogram ABCD having two diagonals, AC and BD. To proved that segment AM is congruent to segment CM, we would apply the two-column proof as shown below:
Statement Reason
1. Parallelogram ABCD 1. Given
2. AD║BC 2. Properties of parallelogram
3. <MAD ≅ <MCB; 3. Alternate interior angles theorem.
<ADM ≅ <CBM
4. AD ≅ CB 4. Properties of parallelogram
5. ΔADM ≅ ΔCBM 5. ASA congruence theorem
6. AM ≅ CM 6. CPCTC
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A salesperson sells $3000 in merchandise and earns a commission of $540 .
Find the commission rate. Write your answer as a percentage.
Answer: Therefore, the commission rate is 18%.
Step-by-step explanation: To find the commission rate, we divide the commission earned by the total sales and then express it as a percentage.
Commission Rate = (Commission Earned / Total Sales) * 100
In this case, the commission earned is $540 and the total sales are $3000. Plugging these values into the formula, we have:
Commission Rate = (540 / 3000) * 100
Calculating this expression, we get:
Commission Rate = 0.18 * 100
The diagram shows a particle P of mass M kg suspended from two strings
The angle made by one of the tensions suspending particle P is 50⁰.
What is the angle made by the two tensions?The angle θ made by one of the tensions is calculated by applying trig identities as follows;
the force opposite the angle = weight of the block = mg
W = 7.75 kg x 9.8 m/s²
W = 75.95 N
The angle θ made by one of the tensions is calculated as follows;
cos θ = (38 N ) / ( 59 N)
cos θ = 0.6441
θ = arc cos (0.6441)
θ = 50⁰
Thus, the angle θ made by one of the tensions is determined as 50 degrees.
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The missing part of the question is in the image attached.
2/3 of a number is 24. What is 1/2 of the same number
Answer:
Step-by-step explanation:
2/3 of n = 24
2n/3 = 24
2n = 72
n = 36
Half of 36 is 18
Simplify (2^-6)(5)(2^3*5)^2
The simplified form of the expression (2^-6)(5)(2^3*5)^2 is 25/2.
To simplify the expression (2^-6)(5)(2^3*5)^2, let's break it down step by step:
First, we can simplify 2^-6. A negative exponent indicates taking the reciprocal of the base raised to the positive exponent. In this case, 2^-6 can be written as 1/(2^6).
Next, we can evaluate (2^35)^2. Inside the parentheses, we have 2^35. This can be simplified to 8*5, which equals 40. Then, we raise 40 to the power of 2, resulting in 40^2.
Now, let's put everything together:
(2^-6)(5)(2^3*5)^2 = (1/(2^6))(5)(40^2)
To simplify further, we can simplify the powers of 2 and 40:
2^6 = 64
40^2 = 1600
Substituting these values back into the expression:
(1/64)(5)(1600) = (5/64)(1600)
We can further simplify by multiplying 5 and 1600:
(5/64)(1600) = 800/64
Finally, we can simplify 800/64 by dividing both numerator and denominator by 8:
800/64 = 100/8 = 25/2
Therefore, the simplified form of the expression (2^-6)(5)(2^3*5)^2 is 25/2.
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A basketball team scored a total of 97 points in a basketball game. They made a total of 42 2-point and 3-point baskets. How many 2-point baskets did they make? How many 3-point baskets did they make? Let the number of 2-point baskets = and the number of 3-point baskets =
Answer:
29 2-point baskets were made
13 3-point baskets were made
Step-by-step explanation:
Given:
x=number of 2-point baskets scored
y=number of 3-point baskets scored
First set of equations:
[tex]2x+3y=97[/tex]
Second set of equations:
[tex]x+y=42[/tex]
Solve for x or y in the second equation:
[tex]x+y=42\\y=42-x[/tex]
plug in y into the first equation:
[tex]2x+3(42-x)=97[/tex]
[tex]2x+126-3x=97\\[/tex]
combine like terms
[tex]x+126=97[/tex]
[tex]x=126-97\\x=29[/tex]
So, 29 2-point baskets were made.
Now plug in 29 for x in the second equation:
[tex]29+y=42[/tex]
subtract 29 from both sides
y=13
So, 13 3-point baskets were made.
Hope this helps! :)
Find the length of arc
l = 8.1 ft to the nearest tenth
What is an arc of a circle?In mathematics, an arc of a circle is defined as a portion of the boundary of a circle.
It is a fraction of the total circumference of a circle.
Let point O be the center of the circle and let angle POQ be denoted by x, since the sum of angles at a point is 360°, then,
x = 360 - 150 - 65 - 73
x = 72°
The formula for the length of an arc is given by
l = (θ/360) × 2πr............. Equation 1
Where,
r = radius of the circle
θ = angle subtended by the arc at centre of circle
π = 3.14
Substitute r = 6.48 and θ = 72 into eqn. 1
l = (θ/360) × 2πr
l = (72/360) × 2 × 3.14 × 6.48
l = 0.2 × 2 × 3.14 × 6.48
l = 8.13888 ft
l = 8.1 ft to the nearest tenth
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ITS THE FOURTH QUESTION
The surface areas of the figures are 336, 82 and 836
How to calculate the surface areasFrom the question, we have the following parameters that can be used in our computation:
The figures
For the triangular prism, we have
Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12
Surface area = 336
For the rectangular prism, we have
Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)
Surface area = 82
For the cylinder, we have
Surface area = 2π * 7 * (7 + 12)
Surface area = 836
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The surface area of the prisms are
1. 336 cm²
2. 82 m²
3. 836 cm²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of prism is expressed as;
SA = 2B +pH
where B is the base area , p is the perimeter and h is the height.
1. SA = 2B +ph
B = 1/2 × 6 × 8
= 24 m²
p = 6+8+10 = 24m
h = 12m
SA = 2 × 24 + 24 × 12
= 48 + 288
= 336 cm²
2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)
= 2( 6+21+14)
= 2( 41)
= 82 m²
3. SA = 2πr( r +h)
= 2 × 3.14 × 7( 7 + 12)
= 44( 19)
= 836 cm²
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Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age. Round your answer to the nearest a needed 54, 68, 68, 54, 59, 58, 68, 57, 57
A. 59.7
B. 58.0
C. 59.0
D. 60.3
Answer:
D. 60.3
Step-by-step explanation:
Finding the mean,
M = (sum of values of data)/(number of data)
now, number of data = 9,
calculating the mean,
M = (54 + 68 + 68 + 54 + 59 + 58 + 68 + 57 + 57)/9
M = 543/9
M = 60.333
M = 60.3
Triangle LMN has vertices at L(−1, 4), M(−1, 0), N(−3, 4) Determine the vertices of image L′M′N′ if the preimage is rotated 180° counterclockwise about the origin.
L′(4, 1), M′(0, 1), N′(4, 3)
L′(−1, −4), M′(−1, 0), N′(−3, −4)
L′(−4, −1), M′(0, −1), N′(−4, −3)
L′(1, −4), M′(1, 0), N′(3, −4)
Answer:
Therefore, the vertices of the image L'M'N' after rotating the triangle 180° counterclockwise about the origin are:
L'(1, -4), M'(1, 0), N'(3, -4)
Step-by-step explanation:
To determine the vertices of the image L'M'N' after rotating the triangle LMN 180° counterclockwise about the origin, we can apply the rotation transformation to each vertex.
The rotation of a point (x, y) by 180° counterclockwise about the origin can be obtained by switching the signs of both coordinates. So, if the original vertex is (x, y), the rotated vertex will be (-x, -y).
Applying this to each vertex:
L'(-x, -y) = L'(-(-1), -(4)) = L'(1, -4)
M'(-x, -y) = M'(-(-1), -(0)) = M'(1, 0)
N'(-x, -y) = N'(-(-3), -(4)) = N'(3, -4)
Therefore, the vertices of the image L'M'N' after rotating the triangle 180° counterclockwise about the origin are:
L'(1, -4), M'(1, 0), N'(3, -4)
WILL GIVE BRAINLIEST IF CORRECT ANSWER ASAP
What is the equation of the graphed function?
Enter your answer in the box.
f(x)=
Answer:
[tex]f(x) = {(x + 3)}^{2} = {x}^{2} + 6x + 9[/tex]
Step-by-step explanation:
move 3 units to the left
[tex] {x}^{2} [/tex]
hence
[tex] {(x + 3)}^{2} [/tex]
what is the answer to
-5x+y=-210
Answer:
y=−210+5x
Step-by-step explanation: easy
A ship is anchored off a long straight shoreline that runs north and south. From two observation points
miles apart on shore, the bearings of the ship are
and
. What is the distance from the ship to each of the observation points? Round each answer to the nearest tenth of a mile.
The distance from the north most ship to the observation is
miles.
The distance from the south most ship to the observation is
miles.
The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.
From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.
Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:
[asy]
unitsize(1cm);
pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);
draw(O--N--A,Arrow);
draw(O--S--B,Arrow);
[tex]label("$52^\circ$", N + 0.3*dir(52), NE);[/tex]
[tex]label("$134^\circ$", S + 0.3*dir(134), SE);[/tex]
draw(O--A--B--cycle,dashed);
[tex]label("$x$", (N+A)/2, W);[/tex]
[tex]label("$y$", (S+B)/2, E);[/tex]
[/asy]
We can use the tangent function to find x and y, since we have the angle and opposite side.
From the north observation point, we have:
[tex]$$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$[/tex]
From the south observation point, we have:
[tex]$$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$[/tex]
Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.
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Compare the values of the following numbers, using the symbols > (greater than), < (less than), and = (equal to).
0.5 _____0.500
Answer:
0.5 = 0.500
Step-by-step explanation:
Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.
0.5 = 0.500
what value of x is in the solution set of the inequality-2(3x + 2) > -8x +6
-6
-5
5
6
Answer:
5
Step-by-step explanation:
-2（3x+2)> -8x+6
-6x-4> -8x+6
-6x+8x> 6+4
2x> 10
x> 10/2
x> 5
Please help me with this
Answer:
D) g(x) = -4x²
Step-by-step explanation:
From f(x) to g(x), there is a reflection about the x-axis, followed by a vertical stretch.
So, we know that g(x) needs to have a negative leading coefficient, which eliminates the first two options.
Now C can't work because that would involve a vertical compression since the absolute value of the leading coefficient is less than 1
Therefore, D is correct!
Assume that by contributing your education you increase your yearly earning potential from 21,484 to 39,746 if the additional education cost $36,000 in about many years, will a it pay for itself
Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.
To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.
The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.
To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).
Payback Period = Cost of Education / Annual Increase in Earning Potential
Payback Period = $36,000 / $18,262
The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.
If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.
In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.
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The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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see photo please thank you
The area of the garden in this problem is given as follows:
201.07 ft².
How to obtain the area of the garden?For the rectangular part of the garden, the area is given by the multiplication of the dimensions as follows:
22 x 31 = 682 ft².
For the semi-circle, the radius is given as follows:
r = 0.5 x 22
r = 11 ft.
Hence the area is given as follows:
A = 0.5 x π x 11²
A = 190.07 ft.
Hence the total area is given as follows:
190.07 + 11 = 201.07 ft².
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the absolute value of the quantity one fifth times x plus 2 end quantity plus 4 is greater than or equal to 6
Answer: x <= -70 or x >= 22.
Step-by-step explanation:
The solution to the inequality is x <= -70 or x >= 22. To solve the inequality, we can begin by isolating the absolute value term. |1/5x + 2| + 4 >= 6 |1/5x + 2| >= 2 Next, we can split the inequality into two cases: 1/5x + 2 >= 2 or 1/5x + 2 <= -2 Solving for the first case: 1/5x + 2 >= 2 1/5x >= 0 x >= 0 Solving for the second case: 1/5x + 2 <= -2 1/5x <= -4 x <= -20 Therefore, the solution is x <= -70 or x >= 22.
Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value x in the secant line using the Intersecting theorem is 4.
What is the value of x?Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the figure:
First sectant line segment = ( x - 1 ) + 5
External line segment of the first secant line = 5
Second sectant line segment = ( x + 2 ) + 4
External line segment of the second secant line = 4
Using the Intersecting secants theorem:
5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )
Solve for x:
5( x - 1 + 5 ) = 4( x + 2 + 4 )
5( x + 4 ) = 4( x + 6 )
5x + 20 = 4x + 24
5x - 4x = 24 - 20
x = 4
Therefore, the value of x is 4.
Option C) 4 is the correct answer.
Learn more about Intersecting secants theorem here: brainly.com/question/30242636
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