(05.03)Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.
Answers
we must divide the figure on parts
we have 3 areas
firts will calculate the green triangle
the formula is
\(A_g=\frac{b\times h}{2}\)where the height is 15ft and the base 19-4=15ft
so replacing
\(\begin{gathered} A_g=\frac{15\times15}{2} \\ \\ A_g=\frac{225}{2} \end{gathered}\)Second will calculate the red rectange
the formula is
\(A_r=b\times h\)where the height 25 and the base 4
\(\begin{gathered} A_r=25\times4 \\ A_r=100 \end{gathered}\)Third will calculate the yellog triangle
th formula is
\(A_y=\frac{b\times h}{2}\)where b is 4ft and the height 29-25=4ft
\(\begin{gathered} A_y=\frac{4\times4}{2} \\ A_y=8 \end{gathered}\)Finally to calculate the total Area add all areas
\(\begin{gathered} A_T=A_g+A_r+A_y \\ A_T=\frac{225}{2}+100+8 \\ \\ A_T=220.5 \end{gathered}\)so, the total area of the polygon is 220.5 square feet
Related Questions
A school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. If this pattern continues, in what week will the cafeteria sell 40 slices? Explain how you got your answer.
Answers
If you look at the question, You would see a pattern. That pattern is the amount of slices in one week is divided by 2 the next week. So on the fourth week you would do 320/2 and get 160. if you keep carrying on the pattern yourself, you would do: 160/2 = 80. 80/2 = 40. And there's your answer. week 4 we had 160 slices sold. week 5 80 slices sold. Week 6 40 slices sold
Simplify this into your own words if you have to
When ax³ + ax² + ax + a is divided by x + 2 the remainder is?
Answers
Answer:
The remainder of the expression ax³ + ax² + ax + a when divided by x+2 is "–5a"
What is the value of l-32l
Answers
Answer:32
Step-by-step explanation:
Dani decides to add the cost of each shirt and the cost of each bag together, and then multiply by seven to find the total cost. Write an algebraic expression for the total cost of the gifts using Dani’s method. Remember, use t and b as your variables. (3 points)
Answers
Answer:
Total cost of 7 pair = 7(t + b)
Step-by-step explanation:
Given:
Cost of each shirt = t
Cost of each bag = b
Number of pair = 7
Find:
Total cost
Computation:
Total cost of each pair = t + b
Total cost of 7 pair = 7(t + b)
What is the solution of √1-3x=x+3
Answers
Answer:
x = -1
Step-by-step explanation:
Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
A. List three possible dollar amounts in cash and prizes Regan can win
B. Write an inequality to represent the dollar amounts d in cash and prizes Regan can win.
Answers
An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
Let d represent the amount of cash in dollars and p represent the amount of prizes.
Since the grand prize winner is guaranteed to win at least $500,
So, p + d ≥ 500
Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
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Find the 15th term of the geometric sequence 2,−8,32,...
Answers
Answer: first term (a)= 2
second term (b) = -8
common ratio (r) = -8/2 = -4
15th term = ar^ (n-1)
= 2* (-4)^ 14 =536870912
Step-by-step explanation:
Answer:
536,870,912
Step-by-step explanation:
the formula for geometric sequences is:
aₙ = a₁·\(r^{n-1}\)
where aₙ is, in this case the 15th term
r = common ratio which, in this case, is -4
a₁ = first value in the sequence
so:
a₁₅= 2(-4)^14
= 2(268,435,456)
= 536,870,912
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
If cot theta = 3/2, what is the value of csc theta?
Answers
The value of csc theta is \(\frac{3. 61}{2}\)
How to determine the valueIt is important to note that the ratio for cot is given as;
Cot theta = adjacent/opposite
cosec theta = hypotenuse/opposite
If cot theta = 3/2, then
Adjacent = 3
Opposite = 2
Using Pythagoras theorem, we have
Hypotenuse square = opposite + adjacent square
\(H = \sqrt{2^2 + 3^2}\)
\(H = \sqrt{4 + 9}\)
\(H = 3. 61\)
Cosec theta = \(\frac{3. 61}{2}\)
Thus, the value of csc theta is \(\frac{3. 61}{2}\)
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Answer:
3.16/2
Step-by-step explanation:
Have a great day
3z+2x+6 use z=9 and x=6
Answers
multiply 3•9=27
multiply 2•6=12
27+12=39
g The false positive rate, P(+|N), for a test is given as 0.04. What is the specificity for this test?
Answers
Answer:
Step-by-step explanation:
Let us consider a data of prevalent diseases.
If the false positive rate is P(Test + | N) = 0.04
Therefore, sensitivity is defined as the probability of a positive test result given the presence of the disease. This can be written as: P (positive test | disease present).
Specificity is defined as the probability of a negative test result given absence of disease, that is, P (negativetest | diseaseabsent). PPV is defined as the probability of the presence of disease given a positive test result, ie, P (disease present | positivetest).
how Can I explain that 5/8 2/3 and 3/8 are in order?
Answers
what are you guys studying?
Answers
Answer:
im study about history it was my favourite subject!
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
Answers
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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based on the data in the graph, by approximately what percent did the sea ice decrease from 1980 to 2005 ?
Answers
Answer:
Step-by-step explanation:
Which of the following graphs represents a function that has a negative
leading coefficient? Check all that apply.
---
A. Graph A
B. Graph B
C. Graph C
D. GraphD
Answers
Answer: a, b, and c
Step-by-step explanation:
Hence, the price of the routes is € 244. Graph A, Graph B, and Graph C are the graphs with negative coefficients.
What is a polynomial graph equation?At different x-intercepts, graphs exhibit varying behaviours. On occasion, the graph will intercept the x-axis and cross it. On occasion, the graph will contact the x-axis and then deviate from it.
Determine the polynomial functions' zeros' even and odd multiplicities.
Plot the graph of a polynomial function using end behaviour, turning points, intercepts, and the Intermediate Value Theorem.
For zeros with even multiplicities, the graphs intersect or are tangent to the x-axis at these x-values. These x-values for zeros with odd multiplicities are where the graphs overlap or meet the x-axis.
Given the data,
Let A, B, C, and D represent the graph.
Currently, the graphs' measurements are
A cubic function that is pointing in the direction of a negative value is used to illustrate the first graph.
Hence, it has a negative coefficient.
The second graph is a parabola as well. It opens downward, which indicates that the leading coefficient is adverse.
The third graph is a linear one that is now tilted downward.
Thus, it has a low efficiency.
Hence , the graphs are solved
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what is the quotient in 10÷3
Answers
Answer:
its 3.333333333 but short form its just 3.3 as a fraction it would be 3 3/10
Step-by-step explanation:
sry i did this in a comment last time hope it helps
Answer:
The answer us 3.3 Reapeating
Step-by-step explanation:
0.3333
\(\sqrt[3]{10}\)
- 9
10
- 9
1
raise t to the 10th power then add the result to 3
Answers
The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3
How to write algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
Given: raise t to the 10th power then add the result to 3
Note: t is the variable here
Let's write algebraic expression now:
raise t to the 10th power => t¹⁰
then add the result to 3 => t¹⁰ + 3
Therefore, the algebraic expression is t¹⁰ + 3
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Which cross-sectional shapes do you find the most surprising? Which shapes do you find the least surprising? Explain why.
Answers
Answer:
I was surprised that a plane parallel to the vertical axis creates a rectangular cross-section. I guess I was expecting to always see a circle or a circular shape in the cross-section, not purely straight edges as seen in a rectangle.
Step-by-step explanation:
edmentum answer
Answer:
The circles were the least surprising because the base of the cone is a circle. The curves that look like bent rods were the most surprising because I have not seen geometric figures like those before.
Step-by-step explanation:
carpet is sold in square yards how much carpet would a person need to buy for a rectangle that has dimensions of 10 yards by 18 feet
Answers
A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
How to determine the amount of carpet needed for a rectangular room?
To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.
The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),
18 feet ÷ 3 feet/yard = 6 yards
So the dimensions of the room in yards are 10 yards by 6 yards.
To find the total area of the room, we need to multiply the length and width,
10 yards × 6 yards = 60 square yards
Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
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Cindy is attempting to calculate how much her car payment would be for a car that costs $27,000 to be repaid with monthly payments in 4 years at 4% APR.
Where, if at all, has Cindy made a mistake(s)?
Correct Cindy’s mistake(s). (Spoiler for part a, yes, she made several mistakes.)
What would the answer actually be?
Answers
The amount that would be paid for the cost of her car when repaid with monthly payments would be = $3,132
What is simple interest?Simple interest is defined as the extra amount of money received for an investment that is made over a specific period of time.
The formula for simple interest:
SI = P×T×R/100
Principal (p) = 27,000
Time (T) for the payment = 4years
Rate(R) = 4%
Simple interest (SI) = 2700×4×4/100
SI = 43200/100
SI= $432
Therefore, the total amount that would be for her car payment = 2700+432 = $3,132
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Math test Farley easy
Answers
Answer:
417.831823 \(in^{2}\)
Step-by-step explanation:
surface area of cone ;
\(=\pi r^{2}+\pi rl\\ =\pi (7^{2}) +\pi (7)(12)=417.831823 in^{2}\)
Answer:417.831823
Step-by-step explanation:
Ramon is filling cups with juice. Each cup is shaped like a cylinder and has a diameter of 4.6 inches and a height of 7 inches. How much juice can Ramon pour into 6 cups? Round to the nearest hundredth and approximate using π = 3.14.
116.27 cubic inches
303.32 cubic inches
697.65 cubic inches
2,790.58 cubic inches
Answers
Ramon can pour 6 cups of juice from a 581.59 cubic inch container.
What is unitary method?"A way to find a multiple unit value from a single unit value as well as the reverse."
In every case, we first count the unit or amount value before figuring out the more or less amount value.
This method is referred to as a unified procedure for this reason.
By dividing the set value by the quantity of sets, one can find numerous set values.
By dividing several set values by the total number of sets, one can determine a set value.
According to our question-
=3.14×(2.1)²×7
=3.14×4.41×7
=96.9318
Now for 6 glasses we have to calculate
=6×96.932
=581.59 cubic inches.
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Answer: 697.65 cubic inches
Step-by-step explanation: the volume of one cup can be calculated using the formula for the volume of a cylinder. The rest is history.
laws of circle theorem
Answers
Answer:
1. The angle at the centre is twice the angle at the circumference
2. The angle in a semicircle is a right angle
3. Angles in the same segment are equal
4. Opposite angles in a cyclic quadrilateral sum to 180°
5. The angle between the chord and the tangent is equal to the angle in the alternate segment
Step-by-step explanation:
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
Answers
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Answers
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
O A. negative
O B. parabolic
O C. strong
O D. weak
Which one is it
Answers
Answer:
theres no question to match an answer to, bud..
Step-by-step explanation:
Answer:
plz send full question
Step-by-step explanation:
ok
8. The side length of a square measures
Assume y is nonzero.
3x4/y5meters. What is the area of the square? Assume y is nonzero.
Answers
(3^2 * x^4*2)/ y^5*2
9x^8/y^10
Please help. It’s to finding a side length given the perimeter and side lengths with variables!
Answers
Answer:
Side length QR = 6 units
Step-by-step explanation:
\(3y-3+8+2y+y-1=46\\\\simplify\\\\6y+4=46\\6y=42\\y=7\\\\QR = y-1\\QR = 7-1\\QR = 6\)
are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
Answers
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
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The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.