Sue 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
Answer:
Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet,
Total area = triangle 1 area + triangle 2 area + rectangle area= 312.5 + 32 + 280 = 624.5
Triangle1 area = height × base2
Triangle1 area = 25 × 252/ = 312.5
The other height and base of 8 feet,
Triangle 2 area = height × base2
Triangle 2 area = 8 × 8/2= 32
And one rectangle measuring 35 feet by 8 feet
Rectangle area = height × base
Rectangle area = 35 × 8 = 280
The area of the polygon is 624.50 ft².
The shapes in the polygon.The area of the polygon can be determined by adding the areas of the shapes in the polygon. The polygon is made up of two right triangles and a rectangle.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
Area of a rectangle = length x width
Area of the polygonArea of the rectangle
Width = 8 feet Length = 35 feetArea = 35 x 8 = 280 ft²
Area of the triangles
Area of the bigger triangle
Base = 33 ft - 8ft = 25 ftLength = 25 feetArea = 1/2 x 25 x 25 = 312.50 ft²
Area of the smaller triangle
Base = 43 ft - 35ft = 8 ftLength = 8Area = 1/2 x 8 x 8 = 32 ft²
Area of the polygon = 32 ft² + 312.50 ft² + 280 ft² = 624.50 ft²
To learn more about rectangles, please check: https://brainly.com/question/16595449
Related Questions
Solve for x.
Your answer must be simplified. −30< x/-4
Answers
Answer:
x<120 i think
How many 1/3 blocks can fit into a 1/2 block?"
Can u help me
Answers
Answer:
Step-by-step explanation:
two blocks 1/3 size would fit into 1/2
Answer:
36 rectangular blocks will fit into the cube-shaped block. ... this problem is asking for how many full blocks could fit, not how many parts of blocks could fit. ... For example, suppose each block was 12" by 1" by (1/2)
Step-by-step explanation:
Without solving the systems, explain why the following systems must have the same solution.
System (a): 4 − 5 = 13 System (b): 8 − 10 = 26
3 + 6 = 11 − 11 = 2
Answers
(basically system b is 2(4x-5y=13) )
Please help me! I'm stuck and really confused, thank you so much!
Answers
Answer:
(a) [tex]5 * (2x - 1) = 10x - 5[/tex]
(b) [tex]6 * x = x + 2x + 3x[/tex]
(c) [tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]
(d) [tex]y(3x + 4z) = 3xy + 4yz[/tex]
(e) [tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex]10x - 5[/tex]
Required
Express as a product
Express 10x as 5 * 2x
[tex]10x - 5 = 5 * 2x - 5[/tex]
Apply distributive property
[tex]10x - 5 = 5(2x - 1)[/tex]
[tex]10x - 5 = 5 * (2x - 1)[/tex]
So:
[tex]5 * (2x - 1) = 10x - 5[/tex]
Solving (b):
Given
[tex]x + 2x + 3x[/tex]
Required
Express as a product
Express 2x and 3x as 2 * x and 3 * x, respectively
[tex]x + 2x + 3x = x + 2*x + 3*x[/tex]
Apply distributive property
[tex]x + 2x + 3x = x(1 + 2 + 3)[/tex]
[tex]x + 2x + 3x = x(6)[/tex]
[tex]x + 2x + 3x = 6*x[/tex]
So:
[tex]6 * x = x + 2x + 3x[/tex]
Solving (c):
Given
[tex]\frac{1}{2}(x - 6)[/tex]
Required
Express as a sum/difference
Apply distributive property
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6[/tex]
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}[/tex]
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]
Solving (d):
Given
[tex]y(3x + 4z)[/tex]
Required
Express as a sum/difference
Apply distributive property
[tex]y(3x + 4z) = 3x * y + 4z * y[/tex]
[tex]y(3x + 4z) = 3xy + 4yz[/tex]
Solving (e):
Given
[tex]2xyz - 3yz + 4xz[/tex]
Required
Express as a product
Factorize
[tex]2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z[/tex]
Apply distributive property
[tex]2xyz - 3yz + 4xz = z(2xy - 3y + 4x)[/tex]
So:
[tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]
Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Answers
Answer: A
Step-by-step explanation:
Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The law of large numbers states that as the sample size increases, the observed frequency of an event will converge to the expected frequency based on the theoretical probability of the event. In this case, the expected frequency of pulling a blue pen is 3/6 or 1/2, which is based on the theoretical probability of pulling a blue pen.
Although Ron pulled a blue pen only 1 time in 4 trials, it is important to note that he replaced the pen each time.
This means that each trial was independent of the others, and the probability of pulling a blue pen in each trial remained the same at 3/6 or 1/2.
As Ron continues to repeat the trials and increase the sample size, the observed frequency of pulling a blue pen will become closer and closer to the expected frequency of 1/2, as predicted by the law of large numbers.
Therefore, Ron's conclusion that the observed frequency will eventually be closer to the expected frequency is reasonable and supported by probability theory.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
-6(12p-8n) Please help me with this distributive property question.
Answers
Answer:
=48n−72p
Step-by-step explanation: Good luck
Answer:
48n−72p
Step-by-step explanation:
−6(12p−8n)
=(−6)(12p+−8n)
=(−6)(12p)+(−6)(−8n)
=−72p+48n
=48n−72p
i need help figuring this out step by step
Answers
Answer:
X-intercepts: (2,0) and (4,0)
Vertex: (3,-1)
Step-by-step explanation:
1) First, let's find the x-intercepts. The x-intercepts are the points at which the graph intersects the x-axis. Look at the x-axis. The x-axis is crossed at two points, (2,0) and (4,0). Therefore, those are the x-intercepts.
2) Now, let's find the vertex. For parabolas, the vertex can either be the lowest point of the graph (the minimum) or the highest point on the graph (the maximum). So, seeing how the graph goes up until infinity, find the lowest point the graph hits. Reading the graph, it would be (3,-1).
the value of the expression is?
Answers
Answer:
24
Step-by-step explanation:
u can do mental math or use a calculator
8 rows of 7 squares.
What is 56 ÷ 7?
Answers
Answer: 56 ÷ 7 = 8
because 58 divided by 7 equals 8 and 7 times 8 equals 54
Help Please! Brainliest if Correct!
Answers
Answer
[tex]\frac{6}{y^4}[/tex]
Step-by-step explanation:
6y−4
=6*y−4
=6*
1
y*y*y*y
=
6
y*y*y*y
=
6
y4
Answer:
[tex]\frac{6}{y^{4} }[/tex]
hope this helps
Step-by-step explanation:
20 times what equals 8
Answers
x=2.5
To check
8(2.5)=20
Answer:
The answer is 0.4
Step-by-step explanation:
Because 8 divided by 20 is 0.4
Hope this helped have a great day
What is 3\sqrt{2}\cdot2\sqrt{8}\cdot\sqrt{3}\cdot\sqrt{6} in simplest radical form?
Pls help i really need this :/
Answers
Step-by-step explanation:
3√2 * 2√8 * √3 * √6
= 3√2 * 2√4√2 * √18
= 3√2 * 2(2)√2 * √9√2
= 3√2 * 4√2 * (3)√2
= (3√2)² * 4√2
= (18) * 4√2
= 72√2.
Which two fractions name point P on the number line?
Number line and choices shown in picture..... plss help me btw I’ll give u branliest if u get it right
Answers
The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The section from zero to one is divided into 12 equal parts. And point P lies in the second section. Then the location of the point P will be given as,
⇒ 2 / 12
⇒ 1 / 6
The two fractions that lie on point P on the number line will be 1/6 or 2/12. Then the correct option is A.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ2
Does anyone know the answer to this?
Answers
Answer:
Rectangle
Step-by-step explanation:
(hope this helps!!)
Bob puts $500 into an account that pays 5% interestc ompounded anually. What is the balance after 5 years?
a
$525.25
b
$625.00
c
$526.72
d
$638.14
Answers
Answer:
b
Step-by-step explanation:
need help asap
please
Answers
6. Translate 90° counterclockwise
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
Answers
Answer:
2.45$
Step-by-step explanation:
pleaseeee
help
meeee
Answers
Answer:
rotate the object 90° about the point of origin
Step-by-step explanation:
Sara and Ellie have $60 to spend on a gift for their mom. They want to buy her a bracelet that costs $62.50. What is the minimum discount that they need to be able to buy the bracelet including the CT tax?
Please show your work!
Answers
Answer:
Simplify the expression. 4x - 3 + 8x - 5 - 3x
Step-by-step explanation:
HELP ME ILL GIVE BRAINLIEST AND A THANK YOU There are 650 people expected to donate to the fundraiser. Each person who donates to the fundraiser will receive 10 tickets to put towards prizes. There are 100 tickets on each strip of tickets.
Answers
Please please help no scames ty
Answers
Answer:
not mine sorry
Answer:
7059079318
Step-by-step explanation:
M1ZLSm9lRFozZmR1M0N1QXEwd2pidz09
Write the product using exponents. (pls help)
Answers
Hope this helpssssss
The table below shows the height and the hand span of five students.
Which pattern of association best describes the relationship between the height and the hand span?
A. no association
B. nonlinear association
C. positive linear association
D. negative linear association
Answers
There is no association between the height and the hand span.
We can only establish an association when there is a consistent rate of increase or decrease between two variables. The increase or decrease is linear when they occur smoothly.
As we can see, we can not establish any particular relationship between the height and the hand span hence we conclude that there is no association between them.
Learn more: https://brainly.com/question/165414
4.6x10^10/ 1.2x 10^3 simplified
Answers
Answer:
i hope this helps
Step-by-step explanation:
Help with the question plz
EXPLAIN TOO!
Answers
Answer:
it's B
Step-by-step explanation:
Explaining: I ready math dianostic
(HELPP PLEASE worth a lot of points)Use the bar graph to find the experimental probability of rolling a number less than 7. what is the experimental probability?
Answers
Answer:
7
Step-by-step explanation:
Good luck allllll the best! God bless youu
Nikki, Kylie and Andy are arguing about who has the biggest candy bar. Below are their measurements of each candy bar:
Nikki's candy bar: 9.99 oz
Kylie's Candy Bar: 1.999 oz
Andy's Candy bar: 10.0 oz
Who has the heaviest candy bar? How do you know?
Answers
Answer:
Andy.
Step-by-step explanation:
10 is greater than 9.99 by 0.01. 10 is also greater than 1.999 by 8.001
What fraction is equavalient to 1/2
Hiiiiiiiiiiiiiiiii
Answers
Answer:
2/4
Step-by-step explanation:1/2= 2/4
Answer:
4/8, 3/6, 5/10, 6/12, 7/14, 8,16, ETC.
Step-by-step explanation:
I NEED HELPP IT A QUIZ PLSSS
Answers
Answer:
A
Step-by-step explanation:
Please help!!! Due in 30 mins!!!
Answers
You find the rate you dividing the cost ($18) by how many gallons (5). Then you multiply by what you are looking for (7 gallons). You get 25.20.