The sum of the measure of the interior angles of a convex polygon is 2700º. Classify the polygon by the number of sides.choose your answer...
Answers
Step 1
Write equation for sum of interior angles of any polygon
\(\begin{gathered} \text{Sum of interior angles of any polygon = (n - 2)180} \\ n\text{ = number of sides} \\ \text{Therefore,} \\ 2700\text{ = (n - 2)180} \\ \text{Divide through by 180} \\ \\ \frac{2700}{180}\text{ = }\frac{(n\text{ - 2)180}}{180} \\ n\text{ - 2 = 15} \\ n\text{ = 15 + 2} \\ n\text{ = 17} \end{gathered}\)Number of sides = 17
Related Questions
Find the product. Write your answer as a fraction in simplest form.
$\frac{4}{7}\left(-\frac{1}{6}\right)=$
Answers
The result of the product of both fractions as required to be determined is; -2 / 21.
What is the product of both fractions?It follows from the task content that the product of both fractions is to be determined.
Given; ( 4 / 7 ) ( -1 / 6 )
The product of the fractions is therefore;
(4 × -1) / (7 × 6)
= -4 / 42
= -2 / 21.
Ultimately, the product of the fractions is therefore; -2 / 21.
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please help solve the problem correctly and identify what was wrong in solving the original problem.
Answers
The Pythagorean theorem
\(a^2+b^2=c^2\)states that the square on the hypotenuse of a triangle is equal to the sum of the squares on the legs for the same right triangle.
Since the image gives information for one of the legs and the hypotenuse, the theorem needs to be solved for one of the legs
\(\begin{gathered} a^2=c^2-b^2 \\ a=\sqrt[]{c^2-b^2} \end{gathered}\)with the triangles data
\(\begin{gathered} a=\sqrt[]{10^2-6^2} \\ a=\sqrt[]{100-36} \\ a=\sqrt[]{64} \\ a=8 \end{gathered}\)the missing side of the triangle is equal to 8.
Help me light get brainless ( math )
Answers
A circle, when using degrees, have 360 degrees. 1/360 of a circle can be calculated by multiplying the two numbers.
\(\frac{1}{360}*360=1\)
Therefore, the answer for the question is
1/360 of a circle measure 1 degree
I select two cards from a deck of 52 cards and observe the color of each (26 cards in the deck are red and 26 are black). Which of the following is the most appropriate sample space S for the possible outcomes?
a. S={red, black}
b. S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
c. S={0,1, 2}
d. All of the above
Answers
Answer:
b. S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
Step-by-step explanation:
The sample space S for the possible outcomes reflects all possible cmobinations linked to the event of selecting the two cars.In any case, you have to take into account all possible scenarios from te event of selecting two cars. Because there are two possible alternatives of color for the cars, when picking two cars, you can face the situations: S={(red, red), (red, black), (black, red), (black, black)}.The most appropriate sample space S for the possible outcomes will be S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
Option B is correct.
Sample space is defined as the total number of outcomes in an eventGiven that two cards are selected from a pack of 52 cards card where 26 cards in the deck are red and 26 are blackNote that the colors are being observed, hence the combination of colors we can select will be (red, red), (red, black), (black, red), (black, black)The most appropriate sample space S for the possible outcomes will be S={(red, red), (red, black), (black, red), (black, black)} where, for example, (red, red) stands for the event "the first card is red and the second card is red."
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LPQR is a right angle. Find m/PQS and mZSQR. Enter deg after any value that
is in degrees.
Answers
The required measures of the angles ∠PQS and ∠SQR are given as 51 and 49.
What is complementary angles?Complementary angles are two angles whose measures add up to 90 degrees. In other words, if angle A and angle B are complementary, then A + B = 90 degrees.
Here,
∠PQR is a right angle,
So ∠PQS and ∠SQR are supplementary angles, from the figure.
∠PQR = ∠PQS + ∠SQR
90 = 8x + 131 + 10x + 139
90 = 18x + 270
18x = -180
x = -10
Now,
∠PQS = 8x + 131 = -80 + 131 = 51°
Similarly,
∠SQR = 49°
Thus, the required measure of the angles ∠PQS and ∠SQR are given as 51 and 49.
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Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
Answers
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
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In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each shirt.
Answers
Answer: $12
Step-by-step explanation:
For this problem, we can use system of equations to solve. Let's use x for shirts and y for ties.
Equation 1
6x+3y=79.5
This equation comes from the first sentence. 79.5 is the total cost.
Equation 2
3x+2y=41
This equation comes from the second part of the first sentence. 41 is the total cost.
Since we are looking for the cost of each shirt, let's use the elimination method to eliminate y. First, we need to multiply both equations to that the y in both equations equal each other.
2(6x+3y=79.5)
3(3x+2y=41)
Now that we have chosen a common number, we can multiply.
12x+6y=159
9x+6y=123
We can now subtract both equations to cancel out y.
3x=36
Divide to get x alone.
x=12
Each shirt costs $12.
Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
Answers
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
Answers
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
4x+7=23. explain the steps you would use to solve the equation for x.
Answers
Answer:
x=4
Step-by-step explanation:
1. isolate the variable by subtracting 7 on both sides: 4x=23-7
2. simplify: 4x=16
3. divide both sides by 4: x=16/4
4. simplify: x=4
Answer:
x=4
Step-by-step explanation:
4x+7=23
Collect like terms
4x=23-7
4x=16
Divide both sides by the co-efficient of x
4x/4=16/4
x=4
-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answers
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Answers
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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Need help asap !! A toy rocket is launched from the ground. The height h (in feet) of the rocket t seconds after it is launched can be found with the equation: h=-16t²+128t. a)Find when the rocket will reach 112 feet and b)when it will land back on the ground.
Answers
Answer:
when it will reach 122 feet's is 16*16+128=384
Need to know the answer
Answers
Step-by-step explanation:
m and n are parallel so x+18+5x-6 is equal to 180°.
6x+12=180
6x=168
x=28
Answer:
x + 18° + 5x - 6° = 180°
6x = 180° - 12
x = 168/6
x = 28°
ANSWER :- 28°
Step-by-step explanation:
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A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle mo
each time the wheel goes around? (Use as an approximation for 7.)
88 inches
64 inches
44 inches
56 inches
Answers
Answer:
88 in
Step-by-step explanation:
we have to find the circumference of the circle which is ;
C = pie d
= 22/7 x 28
= 88 in
Which represents a function? Edge 2020.
Answers
If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
Answers
Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as \(\sqrt{d}\) then the equation relating them is
c = k\(\sqrt{d}\) ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k ×\(\sqrt{64}\) = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75\(\sqrt{d}\) ← equation of variation
When d = 324 , then
c = 1.75 × \(\sqrt{324}\) = 1.75 × 18 = 31.5
A 3-gallon container of disinfectant costs $36.24. What is the price per quart?
Answers
Answer:
10.74666666666667 per quart
Step-by-step explanation3 divided 36.24
What is one over two to the fifth power?
Answers
Answer:0.03125
Step-by-step explanation:
GOO*OOGLE
Step-by-step explanation:
(1/2)^5 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
Given the following composite figure, d = 7.5 cm and w = 15.1 cm.
What is the area of the figure?
Answers
Answer:
157.41
Step-by-step explanation:
It can be identified that, given the figure, there is a rectangle and 2 semicircles.
Let's find the area of the rectangle first: A=L*w
Plugging in the given values => A=7.5*15.1 which equals 113.25.
Now the area for the semicircles: 1/2(3.14*r^2)
First, we need to find the radius. To find the radius, you just have to divide the diameter by 2. So, 7.5/2=3.75.
We can plug square the radius which is 3.75 and plug it into the formula: 1/2(3.14*3.75^2)=>22.078125.
22.078125 is the area of only one semicircle so we need to multiply it by 2 because we have two semicircles. So, we get 44.15625.
Finally, we can add them all up to find the total area of the figure: 113.25+44.15625=157.40625.
Rounding to the nearest hundredth=>157.41
8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.
-
Answers
Answer:
Below in bold.
Step-by-step explanation:
3x + y = -1
2x + y=0
Subtract to eliminate y:
3x - 2x + y - y = -1 - 0
x = -1
So, substituting for x in the first equation;
3(-1) + y = -1
y - 3 = -1
y = 2.
The solution is the ordered pair (-1, 2).
The system is a pair of straight lines which intersect at the point (-1, 2).
Calvin estimated he would need 8 hours to
complete his science project. It actually took
him 12 1/2 hours to get everything done. What
was his percent error?
Answers
Answer:45%
Step-by-step explanation:
Hope this helps.
I’m not really good at percentages but I’m sorry I couldn’t give you the full answer. You got this though! <3
what is the significant digits in 430000
Answers
Weknowwhatthatislong
PLEASE ANSWER ASAP WITH SHOWN WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
im so confused
Answers
Answer:
A) 216 in²
Step-by-step explanation:
2(1/2)(6)(4)=24
2x5x12=120
6x12=72
24+120+72=216
A city has cone-shaped buildings for storing salt and sand for icy roads. Each
building has a radius of 30 feet and a height of 20 feet. Find the volume of the
building. Use 3.14 for π.
OA. 1884 ft³
OB. 18,840 ft³
OC. 628 ft3
OD. 56,520 ft³
Answers
The volume of the building is approximately 18,840 cubic feet.
So the answer is (B) 18,840 ft³
What is volume of cone ?
The volume of a cone is a measure of the amount of space that the cone occupies and can be calculated using the formula:
\(V = (1/3)\pi r^2h\)
where V is the volume of the cone, r is the radius of the base of the cone, h is the height of the cone, and π is a mathematical constant approximately equal to 3.14.
According to the question:
The volume V of a cone can be calculated using the formula:
\(V = (1/3)\pi r^2h\)
where r is the radius of the base of the cone, h is the height of the cone, and π is a constant approximately equal to 3.14.
In this case, the radius r is 30 feet and the height h is 20 feet. Substituting these values into the formula, we get:
\(V = (1/3)\pi (30)^2(20)\)
\(V = (1/3)\pi (900)(20)\)
\(V = (1/3)(56,520)\)
\(V = 18,840\)
Therefore, the volume of the building is approximately 18,840 cubic feet.
So the answer is (B) 18,840 ft³.
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The tables represent the points earned in each game for a season by two football teams.
Panthers
14 10 10
10 17 3
28 13 17
32 16 10
14 7 21
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3
Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 14 points
Cowboys; they have a larger median value of 10 points
Panthers; they have a larger mean value of about 14.8 points
Cowboys; they have a larger mean value of about 12.2 points
Answers
Answer:
Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.
Step-by-step explanation:
To compare the measures of center, we can calculate the mean and median points earned by each team:
Panthers: Mean = 212/15 = 14.13 points, Median = 14 points
Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points
Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.
So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).
Which problem can be solved by performing this multiplication?
3/4×8/9
Responses
Evan practiced piano this week for 3/4 hour. Last week he practice for8/9 hour. How much longer did Evan practice last week than this week?
Jada rode her bike 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike. How far did Sarah ride her bike?
Amelie drove 3/4 mile. She then drove another 8/9 mile. How many miles did she drive in all?
Three out of 4 containers hold lemonade. Each container holds 8/9 quart of lemonade. How much lemonade do the containers all hold?
Answers
The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
As per option (B),
Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.
Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.
Sarah rides her bike = 3/4 × 8/9
Therefore, this problem can be solved by performing the above multiplication.
Hence, the correct answer would be an option (B).
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The recommended daily amount of sodium is 2550 mg. One can of wild rice soup contains 535.5 mg of sodium. What percent of the total recommended daily amount of sodium is in this can of soup?
Round your answer to the nearest tenth of a percent, if necessary.
Answers
21% of the total recommended daily amount of sodium is in this can of soup?
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
The recommended daily amount of sodium is 2550 mg. One can of wild rice soup contains 535.5 mg of sodium. Hence:
Percentage of sodium in can = (535.5/2550) * 100% = 21%
There is 21% of sodium in can
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What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = –6x
(-3, [?]); ([ ]), ([ ])
Answers
Answer:
\( {x}^{2} - 2x + 3 = - 6x \\ = {x}^{2} - 2x + 6x + 3 = 0 \\ \\ = {x}^{2} + 4x + 3 = 0 \\ = (x + 1)(x + 3) \\ = x = - 1and \: x = - 3\)
In the figures below the cube shaped box is 6 in wide and the rectangular box is 10 inches Long 4 inches wide and 4 inches high how much greater is the volume of the cube shaped box than the rectangular box a 50 cubic inches B 60 cubic inches C 56 cubic inches d66
Answers
The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.
Define volume.Volume and capacity are two crucial ideas that are both fundamental and among those fundamental ideas that need to be thoroughly grasped. These ideas are a few that every youngster needs to comprehend from an early age. Different items will be displayed, especially when it comes to geometry in math, for which the volume and capacity must be computed. With a few practize problems, this will also enable the pupils to successfully solve bigger and more difficult problems. We come across a great deal of three-dimensional objects in our daily lives that take up a certain amount of space. The total amount of space that a material occupies is referred to as its volume.
Given
In the figures below the cube shaped box is 6 in wide and the rectangular box is 10 inches Long 4 inches wide and 4 inches high
Volume of cube box
= 6³
= 216
Volume of rectangular box
= 10 ×4×4
= 160
Difference
= 216 - 160
= 56
The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.
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