The diagram shows a plan for a deck. The area of the deck is 511 ft squared what is the value of x? Show your work
Please helpp
Answers
Just have a good day
The dimension of the unknown variable x of the deck is equal to 14 feet in length.
What is a Rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.
Given in the question is a diagram showing a plan for deck. From the data given, we can write -
Area of Deck = 511 ft.
The value of x can be found out by subtracting the area of the deck from the area of rectangle having dimensions of length 29 ft and width (16 + 4) = 20 ft. The remaining area will be equated to the sum of the area of rectangle at top right corner having dimensions of length 9 ft and width 4 ft and the area of triangle at lower right corner.
Firstly, we will find the dimensions of the triangle at the lower right. The height of the triangle will be = (20 - 9) ft = 11 ft. The base of the triangle will be = 29 - ( x + 9) ft = (20 - x) ft. Now -
[Area of Rectangle (29 x 20)] - [Area of Deck] = [Area of Rectangle (9 x 4) + Area of triangle (lower right)].
Mathematically -
580 - 511 = 9 x 4 + 1/2 × (20 - x) × 11 = 69
36 + 5.5(20 - x) = 69
36 + 110 - 5.5x = 69
146 - 69 = 5.5x
5.5x = 77
x = 14 ft
Therefore, the dimension of the unknown variable x of the deck is equal to 14 feet.
To solve more questions on Area of Shapes, visit the link below-
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Related Questions
f(x)=−2x+3; Domain: {−1,0,2}
Find the range of the function for the given domain.
Answers
Answer:
Range: 1,3,7
Step-by-step explanation:
(-1,1),(0,3),(2,7)
2(-1)+3
2(0)+3
2(2)+3
Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?
Answers
Answer:
he can buy 8 of lilies and 12 of rose and 48 of daisies
Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.
According to the question
x+y+z = 24......(1)
3x+2y+0.5z = 24.......(2)
Here, we have three variables but only two equations.
2(2)-(1) gives, 5x+3y = 24......(3)
Since, x, y and z can take only integer values.
What are integers?Numbers that are not fractions called integers.
So, from (3) only x=3 and y=3 is possible
So, z= 24-x-y
z=24-3-3 = 18
So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.
To get more about linear equations visit:
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Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
93.3%
93.9%
94.8%
95.3%
Answers
Answer: the answer is 93.9
I hope this helps
Step-by-step explanation:
i know it its on k12
Answer:
93.9
Step-by-step explanation: I took the k12 test
Describe how
(2^3)(2^-4)
can be simplified.
Answers
Answer:
Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Step-by-step explanation:
your welcome
The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.
Answers
Answer:
9.852
Step-by-step explanation:
First, Graph all three functions and find where they intersect and the shape that they make through their intersection. Note that since the shape does not touch the y= -1 line, we will use the "washer" method (where the volume equals [tex]\pi\int\limits^a_b {R(x)\x^{2} - r(x)^{2} } \, dx[/tex].
The next step is to find a and b. Since the function that the area is going to be rotated about is a " y =" equations, the boundaries will be the x coordinates where the three functions intersect, b=1 for (1,1) and a=3 for (3,1).
Next we have to find R(x) and r(x). In this case, R(x) is the difference between the function furthest away from the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top), and r(x) is the difference between the function closest to the axis of rotation and the function of the axis of rotation (or visa versa depending on which is on top.
For this problem R(x) = 1 - (-1) and r(x) = 1/x - (-1) since when you look at the graph, Y = 1 is further from y = -1 than y = 1/x is, and both functions are on top of y = -1.
Finally plug in R(x) and r(x) and solve either using a calculator or through integration. If you solve through integration you should get [tex]\pi (-2ln(3) + \frac{16}{3} )[/tex].
Are these two triangles congruent?
A) SSS
B) SAS
C) Not Congruent
D) Other
I’ve tried different answers. Can someone please tell me what I’m missing? Thanks in advance.
Answers
Answer:
The angles are not congruent
Step-by-step explanation:
This is because the two triangles show angle angle angle and that does not prove triangle congruency.
oshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
Answers
Answer:
ten weeks
Step-by-step explanation:
62.50 multiped by 10 moves the decimal over 1 to the right which makes it 625 :)
pls solve this ,urgent no spam
Answers
Answer:
Question 3
Given expression:
[tex]\sf \left(\dfrac{-8}{9} \times \dfrac{1}{-5}\right)+\left(\dfrac{-8}{9} \times \dfrac{-7}{11}\right)[/tex]
Both parentheses share a common term.
To factor out a common term: ab + ac = a(b + c)
[tex]\textsf{Factor out the common term }\dfrac{-8}{9}[/tex]
[tex]\sf \implies\dfrac{-8}{9} \times \left(\dfrac{1}{-5}+\dfrac{-7}{11}\right)[/tex]
-------------------------------------------------------------------------------------------------
Question 4
To calculate the amount of money Rajni had to begin with, sum the three amounts she spent:
[tex]\sf \implies total=10\frac14+25\frac34+16\frac12[/tex]
As [tex]\sf a\frac{b}{c}=a+\frac{b}{c}[/tex], then:
[tex]\sf \implies 10+\frac14+25+\frac34+16+\frac12[/tex]
Collect and sum the whole numbers:
[tex]\sf \implies (10+25+16)+\frac14+\frac34+\frac12[/tex]
[tex]\sf \implies 51+\frac14+\frac34+\frac12[/tex]
As [tex]\sf \frac14+\frac34=\frac44=1[/tex], then
[tex]\sf \implies 51+1+\frac12[/tex]
[tex]\sf \implies 52+\frac12[/tex]
[tex]\sf \implies 52\frac12[/tex]
Ronnie raises chickens and pigs. He has 220 animals. He counted 640 legs. How many chickens does Ronnie have? Explain your thinking.
Answers
Answer:
f all his animals were pigs, there'd be 880 legs, There are 240 legs missing which represents 120 chickens (so he has 220 - 120 100 pigs.)
Check: (120 x 2) + (100 x 4) = 240 + 400 = 640 QED
What is the range? 6 7 8 7 10
Answers
Range is the highest number minus the lowest number, 10-6=4
Step-by-step explanation:
Range -6
Range is a higherd number
10-4=6
The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.
Answers
Answer:
-4 and 4
Step-by-step explanation:
Have a good day.
Answer:
answer is -4 and 4 ):(
Step-by-step explanation:
Name:
24. Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot
Answers
Answer:
Beach parking lot is the right answer.
Step-by-step explanation:
the beach parking is near the beach refreshment stand.
pls mark branliest.
Draw a pair of perpendicular lines
Answers
Answer:
+
perpendicular lines are lines that meet at a 90 degree angle
Step-by-step explanation:
If 12%of X is 306, what is X equivalent to?
Answers
Answer:
X = 2550
Step-by-step explanation:
Convert 12% to a decimal:
⇒ 12% = 12/100 = 0.12
12% of X is 306
⇒ 0.12X = 306
⇒ X = 306 ÷ 0.12
⇒ X = 2550
Answer:
2550
Step-by-step explanation:
Given expression: 12% of x is 306
We can make the following points of the expression:
1. The word "of" means multiplication (×).
⇒ 12% × x is 3062. The percent is always divided by 100 in fraction.
⇒ 12/100 × x is 3063. The word "is" means equal or equivalent.
⇒ 12/100 × x = 306Now, let's simplify the expression.
⇒ 12x/100 = 306
⇒ 12x = 306 × 100
⇒ 12x/12 = 306 × 100/12
⇒ x = 51 × 50 = 2550
3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?
A.
20 grapes
B.
60 grapes
C.
80 grapes
D.
90 grapes
Answers
Answer:
C. 80 grapes
Step-by-step explanation:
6 / 3 = 2
Each person gets 2 pounds of grapes.
2 X 40 = 80
1 pound = 40 grapes
2 pound = 80 grapes
Jessica bought a $30 outfit for $17. What percent discount did she receive?
Answers
Around 57%
Step-by-step explanation:17 / 30 = .56666666...
Move two decimal places to the left;
56.66666...
Estimate: 57%
Answer:
43.33%
Step-by-step explanation:
30 - 17 = $13
% discount = 13*100 / 30
= 43.33%
To determine whether or not they have a certain disease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Assume the probability that a person has the disease is 0.09 for all people, independently of each other.
Compute the expected number of tests necessary for each group.
Expected number for each group:
Answers
8. Rita looks at the floor plan of a room that was drawn with scale factor 1 inch equals 4 feet. She multiplied the perimeter of the drawing by four and ordered that many feet of molding. She multiplied the area of the drawing by four and ordered that many square feet of carpeting. When the orders arrived, Rita had enough molding, but the carpet covered only of the room. Explain the error.
Answers
What the value of q?
Answers
Step-by-step explanation:
again ?
out of the total of 70°, 30° are taken by the first angle.
so, that leaves 70 - 30 = 40° for the second angle.
q = 40°
is there still something unclear about this ? please let me know.
Answer for brainliest
25 X 1 =
;)
Answers
The answer is 25
25x1 is 25
anything multiplied by 1 Is itself
To earn a B on his quiz, John needs to get between 80%-89% of the questions correct. There are 30 questions on the quiz. What is the least number of questions John needs to get correct for his grade to be a B
Answers
Answer:
24 he can get 24 at the very minimum
Step-by-step explanation:
(150 Points If Ur right.) Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side RS. (ROUND PLEASE.)
Answers
Answer: 39.7
Step-by-step explanation:18/55 = 13/x you can get x by solving for it.
HURRYYYYY 100 POINTS The movie theater has 25 1/2 cups of popcorn. There are 15 people who ordered popcorn. Each person who ordered popcorn will receive the same amount. How much popcorn will each person get?
Answers
Answer:
1.7
Step-by-step explanation:
25.5 divided by 15
Jake is tiling his bathroom floor. He uses three green tiles for every white tile. Jake uses twenty four tiles in total. How many of them are green?
Answers
Answer: I think the answer is 18
hi! i need help finding the area of this shape! thank you
Answers
Answer: 7.5
Step-by-step explanation:
5x3 = 15 A = 1 half L x H
A = (3)(5)
A = 15
A = 15 x 1 half = 7.5
correct me if i am wrong.
.
If two complementary angles are placed side by side, they form a(n)
angle. Side-by-side angles that share a ray and a vertex are called
angles.
of comnlementary angles you can solve for the
Answers
Answer:
Two angles whose sides are opposite rays are called vertical angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called adjacent angles.
Further explanation
Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.
Where ∠1 and ∠2 are adjacent angles, ∠ABC and ∠1 are NOT adjacent angles because ∠ABC overlaps ∠1.
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines). Vertical angles are located across from one another in the corners of the "X" formed by the two straight lines. The example is shown in the picture below.
Where ∠1 and ∠2 are vertical angles, ∠3 and ∠4 are vertical angles, Vertical angles are not adjacent. ∠1 and ∠3 are not vertical angles (they are a linear pair) and Vertical angles are always equal in measure.
Step-by-step explanation:
Jackie has three pieces of ribbon Two of the pieces are q.75 inches in length and the other piece is 6.8 inches long. What is the combined length of Jackie's ribbons?
Answers
Answer:
7.55 inches
Step-by-step explanation:
Add the two values together:
0.75 + 6.8 = 7.55
The combined length of Jackie's ribbons is 7.55 inches!
i am confused please help
Answers
Answer:
volume = lenght x width x height
v= 12x20x14
v=3,360 in³
2x-7/2 = x+3/3 please help me
Answers
Answer:
x=4.5
Step-by-step explanation:
2x− 7/2 =x+1
2x− 7/2- x=1
x-7/2=1
x= 1+7/2
x=2/2+7/2
x= 2+7 is numerator and 2 is the denominator
x= 9/2
9/2 = 4.5
Elise had 1/4 of an apple pie. She gave 1/4 of what she had to her friend Danny. What fraction of the whole pie did Danny get?
Answers
The answer to your question is =
Danny got 1/16 of the whole pie