Find the measures of each exterior angle of a regular 66-gon, the round to the nearest tenth.
Angles: 5.4,6.4,173.6,9720
Answers
The correct angle measure in degrees for each exterior angle is 5.5. The other values provided in the question, 6.4, 173.6, and 9720, are not relevant to the problem.
What is Exterior angles ?
In a polygon, an exterior angle is an angle formed by a side and an extension of an adjacent side. The measure of an exterior angle of a regular polygon with n sides is given by 360/n degrees.
To find the measure of each exterior angle of a regular polygon, we use the formula:
Measure of each exterior angle = 360 degrees / number of sides
In this case, the polygon is a regular 66-gon, so the number of sides is 66. Thus,
Measure of each exterior angle = 360 degrees / 66 = 5.454545...
Rounding to the nearest tenth, we get:
Measure of each exterior angle ≈ 5.5 degrees
Therefore, the correct angle measure in degrees for each exterior angle is 5.5. The other values provided in the question, 6.4, 173.6, and 9720, are not relevant to the problem.
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Related Questions
Ned help PLEASE…………………
Answers
Answer:
0.82
Step-by-step explanation:
A： area =2( 0.8*0.6*+0.6*1+0.8*1) =2(0.48+0.6+0.8)=2*1.88 =3.76
B：area = 2(1.4*0.5+0.5*1.2+1.4+1.2) =2(0.7+0.6+1.68)=2*2.98=5.96
total 9.72
cost = $6.79* 9.72/80 =$0.82
Ms. Chang has 24 students in her class, and 8 of them are boys. What is the ratio of girls to boys?
Answers
Answer:
8 of 24 students are boys
the remaining 16 students are girls
the ratio of girls to boys is 16:8 or 2:1, meaning that there are 2 girls for every one boy
In Luther v Borden, 1849 the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government. T or F?
Answers
In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.
Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.
The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.
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David buys a new car on hire purchase. The car costs R75 000 (excluding VAT) and he trades in his old car (that is fully paid for) for R9 500. The car registration, documentation and licence fees are R2 000.
Determine the cost of the car, inclusive of VAT, trade-in and the other fees.
Answers
Answer:
R93,750. (I have changed R to $ in explanation)
Step-by-step explanation:
To determine the cost of the car inclusive of VAT, trade-in, and other fees, we first need to calculate the VAT amount. Assuming the VAT rate is 15%:
VAT = 0.15 x $75,000 = $11,250
Next, we can calculate the total cost of the car, inclusive of VAT:
Total cost of car = Cost of car + VAT
Total cost of car = $75,000 + $11,250
Total cost of car = $86,250
We also need to take into account the trade-in and the other fees. The trade-in value of $9,500 and the other fees of $2,000 are subtracted from the total cost of the car:
Total cost of car inclusive of VAT and other fees = Total cost of car + Trade-in value - Other fees
Total cost of car inclusive of VAT and other fees = $86,250 + $9,500 - $2,000
Total cost of car inclusive of VAT and other fees = $93,750
Therefore, the cost of the car, inclusive of VAT, trade-in, and other fees, is $93,750.
First, we need to calculate the VAT on the cost of the car:
VAT = 15% of R75 000 = R11 250
Next, we need to calculate the total value of the trade-in and other fees:
Trade-in + other fees = R9 500 + R2 000 = R11 500
Now, we can calculate the total cost of the car, inclusive of VAT, trade-in, and other fees:
Total cost = Cost of car + VAT + Trade-in + Other fees
Total cost = R75 000 + R11 250 + R11 500
Total cost = R97 750
Therefore, the cost of the car, inclusive of VAT, trade-in, and other fees, is R97 750.
Cube A has a mass of 81 g.
Cube B has a mass of 128 g.
Work out
the density of cube A: the density of cube B
Give your answer in the form a: b, where a and b are integers.
Answers
The ratio of the density of cube A to the density of cube B as required in the task content is; 81 : 128.
What is the ratio of the density of cube A to the density of cube B?It follows from the task content that the ratio of the density of cube A to cube B is to be determined.
Recall that the density of an object is given as its mass to volume ratio.
Therefore, given that the volumes are equal; it can be inferred that the density and mass are directly proportional.
Ultimately, the required density ratio can be estimated from the given masses as;
Density of A : Density of B = 81 : 128.
Consequently, the required ratio is; 81 : 128.
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Find the missing segment in the image below
Answers
Answer:
20.4
Step-by-step explanation:
that is the procedure above
Answer:
Step-by-step explanation:
What is debris flow? What are the characteristics of flow and
deposition of a debris flow? How to monitor and reduce the risk of
a stream with potential debris flow?
Answers
Debris flow refers to a type of fast-moving landslide or mass movement that involves a mixture of water, soil, rocks, and other debris. It typically occurs in mountainous or hilly regions, especially after heavy rainfall or during periods of intense snowmelt.
The characteristics of debris flow include high velocity, thick consistency, and destructive power. They often exhibit a turbulent, surging flow pattern and can transport large volumes of material downstream. Debris flows have the ability to erode and carry away sediment, rocks, and vegetation, causing significant damage to infrastructure, property, and natural environments.
To monitor and reduce the risk of a stream with potential debris flow, various measures can be implemented. Monitoring techniques may include the installation of gauges and sensors to measure rainfall, water levels, and ground movement. Early warning systems can be established to alert residents and authorities of potential debris flow events.
To reduce the risk, structural measures such as the construction of debris flow barriers or channels can be implemented to divert or contain the flow. Land-use planning and zoning regulations can help restrict development in high-risk areas.
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question : Find 23% of 700kg
Answers
Answer:
\(700kg \times \frac{23}{100} \\ = 161\)
Answer:
161 kilograms
Step-by-step explanation:
change 'of' into a multiplication sign
23% × 700kg
change 23% into a decimal
0.23 × 700kg= 161
What is the value of i^20+1?
a. 1
b. -1
c. -i
d. i
Answers
Answer:
i
Step-by-step explanation:
The powers of i repeat in cycle of 4. For example, here are the first 4:
1: i
2: -1
3: -i
4: 1
If a number is divisible by 4, i to the power of that number would be 1. So, i^20 is 1, but we are multiplying it by i again, so the answer would be 1 * i = i
Answer: I
Step-by-step explanation:
Factor the following expression using the GCF :
2dr-4r
Answers
Answer:
2r(d-2)
Step-by-step explanation:
Answer:
The answer is I don't know
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the standard form of the equation of a quadratic function with roots of 2 and −5 that passes through (1, −3)?
y = −0.5x2 + 1.5x − 5
y = −0.5x2 + 1.5x + 5
y = 0.5x2 + 1.5x − 5
y = 0.5x2 + 1.5x + 5
Answers
Answer:
y = 0.5x^2 + 1.5x − 5
Step-by-step explanation:
See attached graph
Help me with this Question Please.
Answers
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
30 points HURRY
Using historical population data, Jasper determines the logistic regression equation y =
214
1+ 16.4e-0.05%
for the
population, in thousands of people, of his town after x years.
To the nearest thousand people, what is the projected population 30 years from now?
46,000 people
O 55,000 people
143,000 people
О 214,000 people
Answers
Answer:
46,000
Step-by-step explanation:
do the 16.4e part first, substitute x for 30 then add 1 = 4.66ish
214/4.66 rounded is about 46 so probably 46,000
5692 in standard form
Answers
Answer:
5.692 × 103.
Step-by-step explanation:
Answer:
5.692 × 10^3
Step-by-step explanation:
hope it helps you
What kind of angles are 1 and 2
Alternate Exterior
Alternate Interior
Corresponding
Adjacent
Vertical
Answers
Answer:
Adjacent
Step-by-step explanation:
Line B passes through the points (5, 10) and (0,0). What is the slope of the line
perpendicular to line B?
O 1
2
مسیر
1
2
o –
O2
None of the other answers are correct
Answers
Answer:
1/2 DID THE TEST
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
What is the area of the right triangle shown below?
Answers
Answer:
60 units²
Step-by-step explanation:
Find the other side length:
8² + x² = 17²
64 + x² = 289
x² = 225
x = 15
Find the Area:
1/2(8 x 15) = Area
1/2(120) = Area
Area = 60
If my answer is incorrect, pls correct me!
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-Chetan K
please help me solve thank you!!
Answers
The values that complete the blanks are 35 and 32
How to complete the missing values?From the figure, we have the following ratio
Blue : Purple = 3 : 5
So, the proportion of purple pieces is:
Purple = 5/(3 + 5)
Purple = 5/8
When there are 56 total pieces, we have:
Purple = 5/8 * 56
Evaluate
Purple = 35
When there are 20 purple pieces, we have:
20 = 5/8 * Total
Multiply both sides by 8/5
Total = 32
Hence, the values that complete the blanks are 35 and 32
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write an equation in slope intercept form that passes through (1,3) and has a y- intercept at y=7
Answers
Answer:
y=-4x+7
Step-by-step explanation:
Slope intercept form is y=mx+b, the m being slope and b being the y intercept. You already have the y intercept (7) so you don't have to do any math for that. To find m (slope) however, the formula is m=y2-y1/x2-x1. What this means is you're basically dividing the difference between the y's by the x's. You already have one point, (1,3) and because you know the y-intercept, the second point would be (0,7). Using the formula for m, we get m=7-3/0-1, m=4/-1, and our slope comes out to be -4. Now, we just plug everything into our equation, y=mx+b. Our m=-4, and b=7. Therefore our final answer is y=-4x+7.
To be honest I don’t know what I’m doing with this question
Answers
Answer:
\(\sqrt{231}\) cm
Step-by-step explanation:
The Pythagorean theorem is a mathematical principle that relates to the three sides of a right triangle. The formula for this is:
\(a^2 + b^2 = c^2\)
In this case, the hypotenuse (c) is 16 cm, and one of the legs (a) is 5 cm. We can plug in the values and solve for the missing value.
\(5^2+b^2=16^2\)
\(25+b^2=256\)
\(b^2=256-25\)
\(b^2=231\)
\(b = \sqrt{231}\) cm
How could I simplify it, could someone show me step by step?
Answers
By simplifying the expression (-4-√7)² we get the value as 23+8√7 in decimals we get 44.12.
Given that,
The expression is (-4-√7)²
We need to find the value and simplify the expression.
Take the expression.
(-4-√7)²
We know that (a+b)²=a²+2ab+b²
The expression is in the form of (a+b)² substitute the formula.
(-4)²+2(-4)(-√7)+(-√7)²
Now do the square
16+2(-4)(-√7)+7
Now do the multiplication.
16+8√7+7
Now do the addition.
23+8√7
We can write the √7 value
23+8(2.64)
Multiply 8 and 2.64
23+ 21.12
Now adding
44.12
Therefore, By simplifying the expression (-4-√7)² we get the value as 23+8√7 in decimals we get 44.12.
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what is the sum of the following equation? 16/100
a. 10/100
b. 22/100
c. 36/100
d. 76/100
Answers
Answer:
0.76
\(\frac{19}{25}\)
Step-by-step explanation:
Answer:
D) 76/100
Step-by-step explanation:
16/100 + 6/10 = ?
16/100 + 60/100 = ?
16/100 + 60/100 = 76/100
can someone please help me with this?
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Tangents to a circle from the same point are the same length.
43 -2x = 12x +1
42 = 14x . . . . . . . add 2x-1
3 = x . . . . . . . divide by 14
Which of the following is the correct factored form of the given equation?
4x2 - 11x + 6 = 0
(2x + 3)(2x + 2) = 0
(2x - 3)(2x - 2) = 0
(4x - 3)(x - 2) = 0
Answers
Answer:
\((4x - 3)(x - 2) = 0\)
Last answer is correct
Step-by-step explanation:
\(4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0\)
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brainliest appreciated
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NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
Answers
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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Estimate to the nearest whole number: 10.25 + 54.3 + 16.8 = ?
Answers
Answer: 81
Step-by-step explanation: If you add all of the numbers, then you end up getting 81.35 and 81.35 estimated to the nearest whole number is 81 because that's the closest whole number to 81.35.
A. Proportional side lengths
B. Same size
O C. Congruent
D. None of the above
Answers
HELP ME I NEED THIS DONE NOW
Answers
Answer:a
Step-by-step explanation:slope=4 y-int=-9
Answer:
A: Slope is 4
Y intercept (0,-9)
Step-by-step explanation:
slope intercept form is y=Mx+b
m= slope
b= y intercept
y=4x-9
here the m or slope is 4
And b or y intercept is -9
So a is the correct answer
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Given secant of theta is equal to the square root of 10 over 2 comma what is cos?
a. one fifth
b. 5
c. square root of 10 over 2
d. square root of 10 over 5
Answers
Answer:
D square root of 10 over 5
Step-by-step explanation:
sec means \(\frac{1}{x}\), so if sec of theta is \(\frac{\sqrt{10} }{2}\) in this situation then you can set those equal to one another to get x.
x=\(\frac{\sqrt{10} }{5}\)
cos is just another way to say x so what you got for x is your answer
The secant of theta is equal to the square root of 10 over 2 comma what is, then the value of cos is square root of 10 over 5 .The correct option is d.
What is secant?For a right angle triangle, secant of the angle formed by the sides opposite to hypotenuse is equal to the ratio of Hypotenuse and the base of triangle,
Given the value of sec of θ
secθ = sqrt (10)/2
Then cos θ = 1/secθ
Plug the value, we get
secθ= sqrt (10) / 5
Thus, the correct option is d.
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PLEASE HURRY AND ANSWER SOMEONE Decide if the relation is a function or not.
Ordered Pairs:
(2,1), (2,-5), (0,-7), (3,2)