Could somebody fill this all in I don't know how to do it. I have been stuck for a good while and I'm just confused. I would give more points but thats most of what I got.
Answers
These polygons have the following areas:
Case 9: 67
Case 10: 72
Case 11: 84
Case 12: 87.5
Case 13: 90
The walkway seal has a cost of $ 774.
How to determine the area of a polygon
In this question we need to determine the areas of irregular polygons and polygonal sections, these areas can be obtained in terms of sums and triangles and rectangles, whose formulas are introduced below:
Triangles
A = 0.5 · w · l
Rectangles
A = w · l
Where:
A - Area, in square units.w - Width, in units.l - Length, in units.Now we proceed to determine the areas of each polygon:
Case 9
A = 0.5 · 3 · 4 + 0.5 · 6 · 4 + 0.5 · 2 · 7 + 0.5 · 2 · 7 + 5 · 7
A = 6 + 12 + 7 + 7 + 35
A = 67
Case 10
A = 4 · 0.5 · 3² + 9 · 6
A = 18 + 54
A = 72
Case 11
A = 0.5 · 3 · 12 + 3 · 12 + 0.5 · 3 · 12 + 0.5 · 1 · 4 + 0.5 · 5 · 4
A = 18 + 36 + 18 + 2 + 10
A = 84
Case 12
A = 0.5 · 7 · 3 + 7² + 0.5 · 3 · 4 + 0.5 · 3 · 4 + 4²
A = 10.5 + 49 + 6 + 6 + 16
A = 87.5
Case 13
A = 0.5 · 5 · 3 + 0.5 · 1 · 5 + 10 · 8
A = 7.5 + 2.5 + 80
A = 90
Case 14
A = 4 · 0.5 · (12 ft) · (10 ft) + 2 · (18 ft) · (12 ft) + 2 · (10 ft) · (18 ft)
A = 240 ft² + 432 ft² + 360 ft²
A = 1032 ft²
And the seal cost is:
C = (0.75 $ / ft²) · (1032 ft²)
C = $ 774
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Related Questions
the university newspaper posts a survey question to its readers asking for opinions on the recently approved increase in fees for parking in a garage. the newspaper receives more than 5000 responses and reports that 90% of students are outraged over the approval of the garage parking fee. which of the choices is true?
Answers
a) Ninety percent is not a trustworthy estimate of the percent of all students who are outraged.
It is important to note that a sample of 5000 responses, while large, may not necessarily be representative of the entire population of students. The sample may have biases or limitations that affect the results of the survey. For example, the survey may have only been distributed to certain groups of students or there may have been a higher response rate from students who are particularly passionate about the issue.
In order to accurately estimate the percent of all students who are outraged, a representative sample of the entire population of students would need to be surveyed, and the survey would need to be designed and administered in a manner that minimizes biases and limitations.
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Complete question:
The university newspaper posts a survey question to its readers asking for opinions on the recently approved increase in fees for parking in a garage. The newspaper receives more than 5000 responses and reports that 90% of students are outraged over the approval of the garage parking fee. Which of the following is true?
a) Ninety percent is not a trustworthy estimate of the percent of all students who are outraged.
b) Ninety percent is an accurate estimate of the percent of all students who are outraged, since the sample size is so large.
3. There were 340,000 cattle placed on feed.
Write an equivalent ratio that could be
used to find how many of these cattle were
between 700 and 799 pounds. How many
of the 340,000 cattle placed on feed were
between 700 and 799 pounds?
Answers
The number of cattle would be 136,000 and the comparable ratio would be 4/10.
What is the equivalent ratio?When we compare two ratios, they are said to be equivalent.
To determine whether two or more ratios are equivalent, they can be compared to one another.
For instance, ratios 1:2 and 2:4 are equivalent.
Equivalent ratios are two ratios with the same value.
By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.
Finding equivalent fractions follows the same procedure.
So, an equivalent ratio is required by the question.
This refers to a fraction that is equal to 2/5 of the fraction between 700 and 799.
We multiply the numerator and denominator by the same amount to produce an equivalent fraction.
When we divide both by 2, we get:
(2*2)/(5*2) = 4/10
While working with thousands, tenths are helpful since subtracting a zero when taking a tenth makes it usable.
As a result, 1/10 would equal 34000, and 4/10 would equal four times that: 4(34000) = 136000.
Therefore, the number of cattle would be 136,000 and the comparable ratio would be 4/10.
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Complete question:
There were about 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700- 799 pounds. How many of the 340,000 cattle placed on feed were between 700-799 pounds?
Weight Group. Fraction of total cattle
less than 600. 1\5
pounds.
600-699. 11/50
700-799. 2\5
800. 9\20
When you multiply two terms by two terms, you should get four terms. Why is the final term result when you multiply two binomials sometimes only three terms? Give an example of how your final result can end up with only two terms
Answers
(a + b) * (a + b) = a * a + a * b + a * b + b * b = [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex]
This is an example of how the final result can end up with only three terms.
When you multiply two binomials, the result can sometimes have fewer than four terms because some of the terms may be combined or simplified.
The reason for this is that when you multiply two binomials, you use the distributive property, which states that you can multiply each term in one binomial by each term in the other binomial. The product of each pair of terms is a term in the final result.
For example, if you multiply (a + b) and (c + d), the final result will have four terms:
(a + b) * (c + d) = a * c + a * d + b * c + b * d
However, if one of the terms in either binomial is equal to zero, then the product of that term and the other term will be equal to zero, and that term will not appear in the final result:
(a + b) * (0 + d) = a * 0 + a * d + b * 0 + b * d = a * d + b * d
This is an example of how the final result can end up with only two terms.
Another way the final result can end up with only two terms is if two of the terms are equal to each other. When this happens, you can add them together and simplify the expression:
(a + b) * (a + b) = a * a + a * b + a * b + b * b = a^2 + 2ab + b^2
This is an example of how the final result can end up with only three terms.
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A boat is heading towards a lighthouse, whose beacon-light is 141 feet above the water. From point A, the boat's crew measures the angle of elevation to the beacon, 7 , before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 14°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Answers
The distance that exists from point A to B is 583 feet
How to solve for the distanceThe distance is given as Xa - Xb
WE have to solve for Xa
Tan 7 = 141 / Xa
Xa = 141 / Tan 7
Xa = 1148.4
Next we have to solve for xB
At B the vertical change remains 141 we are to find XB using the angle 14 degrees
Tan 14 = 141 / Xb
Xb = 141 / tan 14
Xb = 565.52
Then the distance = 1148.4 - 565.52
= 582.88
≈ 583 feet
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[tex] log_{a}(15) = m \: and \: log_{a}(5) = n \\ then \: what \: is \: \\ log_{a}( \sqrt{3} ) [/tex]
options =
1)
[tex] \frac{1}{2}n - m [/tex]
2)
[tex] \frac{1}{2} (n - m)[/tex]
3)
[tex]n \times m[/tex]
4)
[tex]n \div m[/tex]
Answers
Answer:
m-n/2
Step-by-step explanation:
we are here given that,
[tex]\longrightarrow \log_{a}(15)=m [/tex] and ,
[tex]\longrightarrow \log_{a}(5) = n [/tex]
Taking the first given equation, we have;
[tex]\longrightarrow \log_{a}15=m \\ [/tex]
[tex]\longrightarrow \log_{a}(5\times 3) = m\\[/tex]
[tex]\longrightarrow \log_a 5 + \log_a 3 = m [/tex]
now substitute the value from second equation,
[tex]\longrightarrow n + \log_a 3 = m \\ [/tex]
[tex]\longrightarrow \log_a(\sqrt3)^2 = m - n \\ [/tex]
[tex]\longrightarrow 2 log_a \sqrt3 = m - n \\ [/tex]
[tex]\longrightarrow \underline{\underline{ \log_a \sqrt3 = \dfrac{m-n}{2}}} [/tex]
And we are done!
I need help the question is Becca hit 7 more home runs than Beverly hit? which equation and solution represents this scenario
Answers
Becca hit 21 + 7 = 28 home runs.
The addition is the method of adding two or more entities together. In math, addition is the procedure of calculating the sum of two or more numbers.
It is a preliminary arithmetic operation that is typically used in our day-to-day life. One of the most common uses of addition is when we deal with money, calculate our bills, or calculate time.
The addition is an operation used to sum up, numbers. The result that is received after addition is known as the sum of the given numbers.
For example, if we wish to calculate the Becca hit, we would add the Beverly hit and 7.
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--The given question is incomplete; the complete question is
"Becca hit 7 more home runs than Beverly. Beverly hit 21 home runs. How many runs did Becca hit?"--
HELP I WILL GIVE BRAINIEST!!!! Find the measure of the missing angles.
Answers
Answer:
b = 93° , c = 87°
Step-by-step explanation:
b and 93° are vertically opposite angles and are congruent , then
b = 93°
c and 93° are a linear pair and sum to 180° , that is
c + 93° = 180° ( subtract 93° from both sides )
c = 87°
Answer:
b=93
c=87
Step-by-step explanation:
1. For b, the angle is 93 degrees because of the vertical angle theorem, where two straight lines intersect, forming two sets of linear pairs with congruent angles.
Therefore, that angle is 90 degrees.
2. For c, use the given angle that is provided, since angle C and the given angle are supplementary (equaling 180 degrees), we can subtract the total (180) from the part (93)
180 - 93 = 87
Could anyone please help me with these questions, just answer the un-answered questions, if I did a question incorrectly please let me know in the comments or your answer. Just also make sure to include a step-by-step explanation.
Answers
The ratio of wins to losses is 5:6.
The ratio of losses to ties will be 3:2
The ratio of losses to games played will be 2:5.
The ratio of wins to games played will be 1:3.
How to calculate the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
The ratio of wins to losses is:
= 10 / 12
= 5:6.
The ratio of losses to ties will be:
= 12 / 8
= 3:2
The ratio of losses to games played will be:
= 12 / (10 + 12 + 8)
= 12 / 30
= 2:5.
The ratio of wins to games played will be:
= 10 / 30
= 1:3
The ratio of children to adult will be:
= 165 / 66
= 5:2
The ratio of good bothes to games boothes will be:
= 6/15.
= 2:5
The ratio of children to games booths will be:
= 165 / 15
= 11:1
The ratio of female lions to make lions will be:
= 20 / 8
= 5:2
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The table shows the cost per pound of various vegetables at a farmers’ market.
Two people purchase 2 1/2 pounds of pinto beans, 1 1/3 pounds of brussels sprouts, and 2 pounds of olives. If the people split the total cost evenly, enter the cost per person of the purchased vegetables in the space provided.
Answers
The required cost per person of the purchased vegetables is given as $7.62.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The total cost of vegetables for 2 1/2 pounds of pinto beans, 1 1/3 pounds of brussels sprouts, and 2 pounds of olives is given as,
= 5/2× 1.24 + 4/3 ×2.82 + 2 × 4.19
= $15.24
This, amount of the bill is split between two people,
= 15.24 / 2
= $7.62
Thus, the required cost per person of the purchased vegetables is given as $7.62.
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What is the greatest common factor between 18 and 30 and 54
Answers
The greatest common factor (GCF) of 18, 30, and 54 is 6.
The greatest number that divides two or more numbers without leaving a residue is known as the GCF.
The prime factorization approach is the most effective way to resolve this issue.
Using this technique, you will first determine the largest common factor amongst each number's prime factors.
The prime factorization of 18 is 2 x 3 x 3.
The prime factorization of 30 is 2 x 3 x 5. The prime factorization of 54 is 2 x 3 x 3 x 3.
The largest common factor amongst all of them is 6, which is the GCF.
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Number half way between 3/10 and 4/5
Answers
Answer:
2.29
Step-by-step explanation:
add the 2 numbers in decimal form then divide by 2
A ball of mass 7 kg is thrown upward at an initial velocity of 20 m/s from a height of 50 m. The ball reaches a maximum height of 100 m before falling back to the ground. Calculate the potential energy of the ball at its highest point.
Answers
Step-by-step explanation:
The potential energy of an object can be calculated as the sum of its kinetic and gravitational potential energy. At its highest point, the ball has zero kinetic energy, so the potential energy is equal to its gravitational potential energy.
The gravitational potential energy of an object is given by:
PE = m * g * h
where m is the mass of the object (7 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height above a reference point. In this case, the reference point is the ground, so h = 100 m.
Substituting in the given values, we find:
PE = 7 * 9.8 * 100 = 686 J
This is the potential energy of the ball at its highest point.
Answer:
answeransweransweranswer is 686 Joules(J)
Step-by-step explanation:
Can someone please explain how to solve this step by step so I could learn how to do this, if I don’t figure this out I’m literally gonna shoot myself
Answers
[tex]2x+2y=-8 \implies x+y=-4 \implies y=-4-x[/tex]
We can substitufe this result into the second equation.
[tex]-10x-5(-4-x)=-5 \\ \\ -10x+20+5x=5 \\ \\ -5x+20=5 \\ \\ -5x=-15 \\ \\ x=3 \implies y=-4-3=-7[/tex]
[tex]\therefore[/tex] The solution is [tex](3,-7)[/tex].
Graph one period of: y = -8 cos 5x
Answers
The graph of one period of: y = -8 cos 5x is graph (a)
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
y = -8 cos 5x
Tto graph one period of y = -8 cos 5x, we use the following
Determine the amplitude and period of the function. In this case, the amplitude is 8 and the period is 2π/5.Plot the maximum and minimum values of the function over one period. These occur when cos 5x is equal to 1 and -1, respectively.Connect the maximum and minimum points with a smooth curve to form one period of the function.
In this case, the graph is (a)
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The ratio of students failing the test to students passing the test was 2/9 there were 143 students who took the test. How many did not pass?
Answers
Answer:
26 students
Step-by-step explanation:
We know
The ratio of students failing the test to students passing the test was 2/9
For every 11 students, 2 students fail the test, and 9 passes it.
2:9 = 11
143 students took the test. How many did not pass?
To get from 11 to 143, we time 13. To find how many did not pass, we take
2 times 13 = 26 students did not pass the test.
So, 26 students did not pass the test.
the price of a car was £11800 it is reduced to £10384
Answers
The percent reduction in the price of the car is given as follows:
12%.
How to obtain the percent reduction?The percent reduction in the price of the car is obtained applying the proportions in the context of this problem.
A proportion is applied because the percentage reduction is obtained dividing the reduction by the initial value, and then multiplying by 100%.
The parameters for this problem are given as follows:
Reduction: 11800 - 10384 = 1416.Initial value: 11800.Hence the percent reduction is given as follows:
1416/11800 x 100% = 12%.
Missing Information
The problem asks for the percent reduction in the price of the car.
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Two restaurants offer customers large pizzas using different measurements for diameter.
Restaurant 1: One large 16-inch pizza for $14.99
Restaurant 2: One large 41.91-centimeter pizza for $14.99
If 1 inch = 2.54 centimeters, what is the length of the crust around the larger pizza, using π = 3.14?
Answers
We can start by finding the diameter of the larger pizza in inches:
41.91 cm ÷ 2.54 cm/inch = 16.5 inches (rounded to one decimal place)
The diameter of the larger pizza is about 16.5 inches. Using this value, we can find the circumference (length of the crust) of the larger pizza using the formula:
C = πd
where C is the circumference and d is the diameter.
C = 3.14 × 16.5 inches
C ≈ 51.81 inches (rounded to two decimal places)
Therefore, the length of the crust around the larger pizza is about 51.81 inches.
Law of cosines: a2=b2+c2-2bccos(A)
What is the measure of angle N to the nearest whole degree
Answers
The measure of the angle N will be 82.8 degrees.
What is the law of cosines?The square of the length of any one side of a triangle is equal, by the cosine rule, to the sum of the squares of the lengths of the other two sides, multiplied by the cosine of the angle they are a part of.
Given that the formula form cosine law is,
a²=b²+c²- 2.bc.cos(A)
Let us assume the values a = 6, b = 5, and c = 4. The angle N will be calculated as:-
a²=b²+c²- 2.bc.cos(A)
6² = 5² + 4² - 2 x 5 x 4 cos(A)
36 = 25 + 16 - 40cos(A)
-5 = - 40cosA
cosA = 1 / 8
A = cos⁻¹( 1 / 8 )
A = 82.81°
Therefore, the value of angle N is 82.81°
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PLS HELP ME I WILL GIVE YOU 50 POINTS AND MAKE U BRAINLESS ONLY CORRECT ANSWERS PLS!!
Answers
Answer:
[tex]1 \frac{7}{12} [/tex]
Step-by-step explanation:
First you subtract the whole numbers
4-3
Then you
Subtract the fractions which will give 7/12
Combining them together we get
[tex]1 \frac{7}{12} [/tex]
what is 5,000 dg =____g
Answers
Answer: search it up
Step-by-step explanation:
HELP ILL GIVE BRAINLEST!!! Solve for the value of n.
(7n-2)°
(6n+6)
Answers
Answer: n=8
Step-by-step explanation:
7n-2=6n+6
add 2 to 6 and subtract 6 from 7
this gets you n=8
How should I work out this question?
Answers
Since side AD is the longest side, it is going to be C squared in the equation.
Your equation should look like this:
( 25^2 )+( 18^2 )=( C^2 )
625+324= C^2
949= C^2
C is approximately 30.8 which means side AD is approximately 30.8cm long.
Next subtract the length of AE from AD to find ED.
30.8-26= 4.8 cm
ED= 4.8 cm
Now we are going to use the Pythagorean theorem again to find the length of BE.
Your equation should look like this:
( 20^2 )+( B^2 )= ( 26^2 )
400+( B^2 )= 676
B^2=279
B is approximately 16.7 meaning ED is 16.7 cm long
ED=4.8cm
BE=16.7cm
The number of a country's unemployed workers decreased from 5.3 million to
3.9 million last year. If the country's population remained constant at 75
million, how did its unemployment rate change last year?
A. It decreased by about 2%.
B. It increased by about 18%.
C. It decreased by about 18%.
D. It increased by about 2%.
SUBT
Answers
Answer:
To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country. If the number of unemployed workers decreased from 5.3 million to 3.9 million, then the decrease is 5.3 million - 3.9 million = 1.4 million.
The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.
So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.
Therefore, the answer is:
D. It increased by about 2%.
The solution is: D. It increased by about 2%.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country.
If the number of unemployed workers decreased from 5.3 million to 3.9 million,
then the decrease is 5.3 million - 3.9 million = 1.4 million.
The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.
So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.
Therefore, the answer is:
D. It increased by about 2%.
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The positive angle between 0 and 2 in radians that is coterminal with the angle −143 in radians is
Answers
The positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians, which is equal to 59.8°.
To find the positive angle in radians that is coterminal with −143 radians, we must first convert the negative angle to its equivalent positive angle. The angle −143 radians is equivalent to the angle 2π - 143 radians. We can calculate this by using the formula 2π + x = 2π - |x|, where x is the given angle. In this case, x = −143. Applying this formula, we get 2π + (−143) = 2π - |−143| = 2π - 143. This is the equivalent positive angle of the given negative angle. To find the positive angle that is coterminal with the positive angle we just found, we must subtract it from 2π until we get a value that is between 0 and 2π. To do this, we subtract 2π - 143 from 2π until we get a value that is between 0 and 2π. After subtracting 2π - 143 from 2π multiple times, we get the result 1.057 radians, which is equal to 59.8°. Therefore, the positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians.
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a right square prism has a volume of 360 cubic units. which could be the dimensions, in units, of the prism? select three options. 3 by 3 by 40 4 by 4
Answers
The length, width, and height of the right square prism are all equal to 7units, i.e., 7units * 7units * 7units.
The volume of a right square prism can be expressed as the product of its length, width, and height. If the volume is 360 cubic units, and the prism is a square prism, then we can assume that its length, width, and height are all equal, so we can call them x. The volume formula can be expressed as:
V = x * x * x = 360
Taking the cube root of both sides of the equation, we get:
x = ∛(360) = 7.11
The cube root of 360 is approximately 7, so the length, width, and height of the square prism are all equal to 7 units.
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Which is the graph of f(x)=2(3)x?
Answers
The initial graph shows [tex]f(x)= 2(3)^{x}[/tex]
What do you mean by function?A function is a mathematical object that assigns a unique output (or "value") to each input in its domain. It is a rule that takes an input (or "argument"), performs some operations on it, and returns a corresponding output. Functions are often written using the notation f(x), where x is the input, and f(x) is the corresponding output. For example, the function f(x) = x^2 maps the input value x to its square. Functions are a key concept in mathematics and are used to model various phenomena in science, engineering, economics, and more.
The function provided is,
[tex]f(x)= 2(3)^{x}[/tex]
making x = 1
[tex]f(x)= 2(3)^{1}=f(x)= 2(3)=6[/tex]
The point (1, 6) that is (x, f(x)) must therefore satisfy the condition or be on the curve of the function.
The point (1, 6) only lies on the curve in the first graph.
As a result, the first graph accurately depicts the function.
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What are the factors of the cubic function f(x)=8x3+64?
Choose each correct answer.
Responses
(2x+4)
(2x−4)
(4x2−8x+16)
(4x2+8x+16)
Answers
Answer:
i think the answer is (2x+4)
streets that form a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.
Answers
The area of the square block is 48,881 m2, which is calculated by multiplying the length of each side (221 m) by itself.
The area of a square can be calculated by multiplying the length of one side by itself. In this case, the length of each side is 221 m. To find the area of the square block, we need to multiply 221 m by itself. This gives us 48,881 m2 as the final answer. To summarize, the area of the square can be found by multiplying the length of one side by itself. In this case, the length of each side of the block was 221 m, so 221 m multiplied by 221 m results in a total area of 48,881 m2.
The complete question: In one city there are four straight streets that form a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.
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Help please!15 points available.GCSE maths question.
Answers
Answer:
10^(3m-2n)
Step-by-step explanation:
Whenever we divide powers, we subtract them.
1000^m can be written as 10^3 (10×10×10)
100^n can be written as 10^2 (10×10)
So, we get 10^3m (m is multiplied by the power of 3) and 10^2n (n is multiplied by the power of 2).
So, the answer would be 10^(3m-2n).
Consider the series.
∞
∑ (3^n+13^n+1)
n=1
Does the series converge or diverge?
Select answers from the drop-down menus to correctly complete the statements.
The value of r from the ratio test is
Choose...
0
1
3
infinity
. The series
Choose...
Converges
Diverges
Answers
Answer:
Step-by-step explanation:
i guess converges