The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer
Answers
Answer:
216 square feet
Step-by-step explanation:
Cement patio outside of lawn
(36*13)-(28*9)
468-252
216
Answer:
216
Step-by-step explanation:
Related Questions
Which points are the vertices of the ellipse?
points G and H
points J and K
points L and N
points M and N
Answers
Answer:
Your answer is A) points G and H
Step-by-step explanation:
I took the test on edge 100%
Which set of numbers does not contain the value below?
Select one:
a. Complex Numbers
b. Pure Imaginary Numbers.
c. Rational Numbers.
d. Integers.
Answers
Answer:
b. Pure Imaginary Numbers.
Step-by-step explanation:
[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]
-3 is an integer, a complex number, and a rational number.
Answer: b. Pure Imaginary Numbers.
A company sold 3,000 computers in one month, but 12 were returned. If 3,500 were sold the next month, the company would expect 14 to be returned.
What is a valid proportion to represent the problem?
Answers
Answer:
the last one is correct
Step-by-step explanation:
because 3000/12 = 250 and 3500/14 = 250 so they are porportional.
The sum of two numbers is 106. The bigger number is 22 more than the smaller number. Then what is half of the smaller number?
(1 Point)
a) 84
b) 21
c) 42
d) 32
7Rakesh's mother's age is three times the present age of Rakesh. After 5 years their ages when added together, will become 66 years. The equation that represents the above is as follows;
(1 Point)
a) x + 3x = 66
b) x + 3x + 5 = 66
c) 4x + 15 = 66
d) 4x + 10 = 66
8Equation 1 is : 2 x - 3 = - 9 and Equation 2 is : x - 7 = 2. The first equation has solution (x = - 3), and the second equation has solution (x = 9) and both these answers are correct for the respective equations. Choose the correct statement from below.
(1 Point)
a) Since the first equation has a negative solution, the second equation only is a Linear equation, as it has a positive solution
b) Both equations have solutions which are rational numbers
c) The first equation is called a Negative Linear Equation as it has a negative solution
d) None of the statements a, b or c are True
9Please see the Figure A, and choose the correct
statement that matches the figure from the
options given below.
(1 Point)
a) The above figure is a Polygon with 5 sides
b) The above figure is a Concave Polygon
c) The above figure is not a Polygon
d) The above figure is a Regular Pentagon
10The sum of measures of the exterior angles of any polygon is …
(1 Point)
a) 180 degrees
b) 360 degrees
c) ( n – 2 ) x 180 degrees
d) ( n – 2 ) x 360 degrees
11In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
(1 Point)
a) Is a Square
b) Is a Rhombus
c) Could be a Square, or could be a Rhombus, we need to know more about the length of the diagonals
d) None of the above statements is correct
12A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
(1 Point)
a) That the diagonals remain equal
b) That the diagonals continue to bisect the angles at the vertices equally
c) The lengths of the diagonals change
d) The diagonals are now bisecting each other in 4 equal parts
13Which statement is True for the following two Figures A and B, given below
(1 Point)
a) Figure A is a Rhombus and Figure B is a Kite
b) Figure A and B are both Rhombus
c) Figure A and B are both Kites
d) Figure A is a Kite and Figure B is a Rhombus
14Which statement out of the four options below, is True?
(1 Point)
a) All Rectangles are Squares
b) All Rhombuses are Parallelograms
c) All Squares are Concave Polygons
d) All Convex Polygons have diagonals outside them
15
(1 Point)
16If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
(1 Point)
a) 156
b) 15600
c) 15.6
d) 1.56
1712.00001 ÷ 0.600001 is closest to ……..
(1 Point)
a) 0.02
b) 2
c) 20
d) 200
18Complete:
(1 Point)
19The equation : 12 x + 16 = 20 is the same as ……
(1 Point)
a) 12 x + 8 = 12
b) 12 x = 20 + 16
c) 12 x – 16 = 20 – 16
d) 12 x – 20 = 16
2020. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
(1 Point)
21Which number will give us a quotient of - 4, if we divide - 24 by ……..
(1 Point)
a) 4
b) - 6
c) - 4
d) 6
22If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
(1 Point)
a) – 3
b) 3
c) – 6
d) 6
23The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
(1 Point)
a) Only Rohit got the correct answer
b) Both Rohit and Mohit got the correct answer
c) Rohit, Mohit and Rakesh all got the correct answer
d) Rohit, Mohit and Allen all got the correct answer
24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
(1 Point)
a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circle
b) Binu has walked more than Abhay, as he has walked more circles than Abhay
c) Both of them have covered the same distance
d) With the information given above, we cannot say who walked more
25Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
(1 Point)
a) +
b) –
c) x
d) ÷
Answers
Step-by-step explanation:
on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think
To solve the above, the solutions are given below.
1. b) 21
7. b) x + 3x + 5 = 66
8. b) Both equations have solutions which are rational numbers
9. a) The above figure is a Polygon with 5 sides
10. b) 360 degrees
11. In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
a) Is a Square
12. A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
b) That the diagonals continue to bisect the angles at the vertices equally
13. Which statement is True for the following two Figures A and B, given below
b) Figure A and B are both Rhombus
14Which statement out of the four options below, is True?
b) All Rhombuses are Parallelograms
16. If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
b) 15600
17. 12.00001 ÷ 0.600001 is closest to ……..
c) 20
19. The equation : 12 x + 16 = 20 is the same as ……
a) 12 x + 8 = 12
20. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
80°
21. Which number will give us a quotient of - 4, if we divide - 24 by ……..
d) 6
22. If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
b) 3
23. The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
a) Only Rohit got the correct answer
24. Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
c) Both of them have covered the same distance
25. Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
c) x
Therefore, the answers are as given above.
learn more about factorization from here: https://brainly.com/question/25829061
please help me oh my lord
Answers
Answer:
A
Step-by-step explanation:
Find the 25th term of the sequence -7,-22,-37.
Answers
Answer:
a₂₅ = - 367
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 22 - (- 7) = - 37 - (- 22) = - 15
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 15 , then
a₂₅ = - 7 + (24 × - 15) = - 7 - 360 = - 367
Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
Answers
Answer:
ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by
465.98*0.964=
449.20472
so now we round to two points to get
449.21
wanda spent 4 1/8 hours studying last night. She spent 1/3 of the time studying math. How much time did she spend studying math?
ANSWER PLSS
Answers
Answer:
[tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes
Step-by-step explanation:
Wanda spends a third of her [tex]4\frac{1}{8}[/tex] hours studying math. Let us multiply these two fractions to find how much time she spent. Our first step would be to convert the mixed number into an improper fraction, as mixed numbers are hard to manipulate with:
[tex]4\frac{1}{8} =\\\frac{33}{8}[/tex]
Now let us multiply:
[tex]\frac{1}{3} *\frac{33}{8} =\\\frac{11}{8}[/tex]
If we wish, we can convert this into a mixed number:
[tex]\frac{11}{8}= \\1\frac{3}{8}[/tex]
or, 1 hour and 22.5 minutes.
Therefore, Wanda spent [tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes studying math.
I hope this helps! Let me know if you have any questions :)
28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..
Answers
Answer:
HCF×LCM=a×b
6×60=a×b
a×b=360
So the numbers are whose product is 360 and LCM is 60
These two numbers can be 6,60 or 12,30
Sara sees some notebooks she likes in a shop. They cost 35p each. This is the money she has. Look in the image
a. How many notebooks can Amy buy? _________
b. How much money will she have left? __________
NEED ANS ASAP giving u 50points
Answers
Answer:
Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1
Step-by-step explanation:
93.1-35-35=23.1
8 × 4 ÷ 3 + 5 2 - 8 Can Someone Answer This Algebra Question
Answers
Answer:
164/3
Step-by-step explanation:
If m angle RTS = 8x + 18, find x so that line TR is perpendicular to line TS
Answers
Answer:
Point T is the right angle of the triangle, so RTS = 90 degrees
8x + 18 = 90 (degrees)
8x = 72
x = 9 degrees
Step-by-step explanation:
If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
What is perpendicular ?A line is said to be perpendicular to another line if the two lines intersect at a right angle i.e. make [tex]90^0[/tex] angle with that line.
We have,
[tex]\triangle RTS[/tex] in which,
[tex]\angle RTS=8x+18[/tex]
Also it is mentioned that [tex]TR \perp TS[/tex] i.e.
[tex]\angle RTS=90^0[/tex]
So, compare values of [tex]\angle RTS[/tex],
We get,
[tex]8x+18=90[/tex]
[tex]8x=72[/tex]
[tex]x=9^0[/tex]
Hence, we can say that If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
To know more about perpendicular click here
https://brainly.com/question/18271653
#SPJ2
Simplify 10( to the power of 9) divided by 10( to the power of 7)
Answers
The simplified form of 10⁹/10⁷ is 100.
The given expression is,
10⁹/10⁷
Since we know that,
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Since we also know that,
When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,
Therefore,
we can write the given expression
10⁹/10⁷ = [tex]10^{(9-7)}[/tex]
= 10²
= 10 x 10
= 100
Hence,
10⁹/10⁷ = 100
To learn more about exponent visit
https://brainly.com/question/31242910
#SPJ6
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Which of the following statements can you determine from the graph? Select all that apply.
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall.
The median height of the students in Mrs. Hill's class is 152 centimeters.
The interquartile range of this data set is 15 centimeters.
The mean height of the students in Mrs. Hill's class is 152.5 centimeters.
Answers
Answer:
152 and 9
Step-by-step explanation:
Savannah is using unit cubes to determine the volume of her desk drawer. What is true about the volume of Savannah's drawer?
Answers
Answer:
The volume is 60 cubic units
Step-by-step explanation:
It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.
Each of the cube have dimensions of 1 unit by 1 unit by 1 unit
The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.
Thus the volume of her desk drawer is = 4 x 3 x 5
= 60 cubic units
Which of the following is least likely to be an advantage of scientific models?
They can precisely replicate any scientific theory or law.
They can be used to help scientists formulate and improve hypotheses.
They can be used to visually represent objects that are very small or very large.
They can be used to simplify complex concepts so that they are better understood.
Answers
Answer:
send one
the second one boi
Step-by-step explanation:
pls help
In which choice do all three points lie on the same straight line?
A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)
Answers
Answer:
D
Step-by-step explanation:
we'll use the complex number system to solve this exercice
the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then
[tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]
for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number
[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]
so the points are aligned
Answer:
D (1, 2), (2, 4), (4, 8)
Step-by-step explanation:
Hope this helps
Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).
Answers
Answer:
[tex]S' = (-5,-5)[/tex]
[tex]Q"=(-5,-5)[/tex]
Step-by-step explanation:
Given
[tex]S = (5,-5)[/tex]
[tex]Q= (5,5)[/tex]
Solving (a): Reflect S across y-axis
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]S(5,-5) \to S'(-5,-5)[/tex]
Hence:
[tex]S' = (-5,-5)[/tex]
Solving (b): Reflect Q across x and y-axis
The rule to reflect across x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So:
[tex]Q(5,5) \to Q'(5,-5)[/tex]
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]
Hence:
[tex]Q"=(-5,-5)[/tex]
i dont get it either
Step-by-step explanation:
1.
Line RK
Line TY
Line RU
Line PQ
2. Pick three
- X
- T
- Q
- U
- Y
3. Pick three
- X
- s
- P
- R
- U
- T
4.
Plane QRP
Plane XUY
Plane s
Plane TRY
5. Show work if possible pls
(1/2, 4)
(4, 1/2)
(8, 1)
(1, 8)
6. Round to one decimal point
7-11. Show work if possible plz!
Answers
Answer:
the answer is plane try I'm pretty sure it's that.
in the diagram BC = 9. find AB and AC.
Answers
Answer:
where's the diagram can you tell
Solve for X
PLEASEEEEE HELPPPP
Answers
Answer:
ok from this we know the angle of this triange are
90+47+x=180
x=43
with these if we use the proper formula we know that the two other sides are
about 21 and 23
since the top side is longer we know that X=23
es para matematica cuanto es 9x (-8) =
Answers
Answer:
−72x
Step-by-step explanation:
The sales tax in a city in Chicago was 5.5%. Ms.M spent $60 on presents for
family members. What was Ms.M's total including sales tax?
Answers
Answer:
$63.30
Step-by-step explanation:
Assuming the $60 is excluding taxes:
60 * 1.055 = $63.30
Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
v ≈ 34.95ft^3
Step-by-step explanation:
h = 9.8ft
A^B = 10.7ft
V=A^B
h/3 = 10.7 • 9.8/3
≈34.95333ft^3
≈34.95ft^3
What is the length of side YZ?
Answers
Answer:
8
Step-by-step explanation:
The bottom angles are equal, so the sides are equal
2x = 5x-12
Subtract 5x from each side
2x-5x= 5x-12-5x
-3x = -12
Divide by -3
x = 4
YZ = 5x-12 = 5(4) -12 = 20-12 =8
ab + 4 + a + 4b
pls help if u can.
Answers
Answer:
(1+b)(a+4)
Step-by-step explanation:
If TU=z+9 and VX=z–41, what is VX? Picture down below.
Answers
Answer:
VX=50
Step-by-step explanation:
VX=[tex]\frac{1}{2} *UT[/tex] (The straight line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it.
[tex]z-41=\frac{1}{2} *z+9[/tex]
[tex]z-41=z+9/2[/tex]
do cross multiplication
2(z-41)=z+9
2z-82=z+9
2z-z=9+82
z=91
VX=z-41
=91-41
=50
PLEASE PLEASE ANSWER I NEED TO PASS!!!!
Answers
Your welcome :)
Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 27.
Use the variable b for the unknown number.
Answers
Answer:
2b-10≤27
Step-by-step explanation:
In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.
[tex]2(b-5)\leq 27\\2b-10\leq 27\\[/tex]
If you wish to solve for b from here, simply isolate the term containing b and solve from there.
I hope this helps! Let me know if you have any questions :)
Answer:
2(x - 5) < 27
Step-by-step explanation:
Equation
2(b - 5)<27
Explanation
Break this down
difference means subtract.
The number is b
and finally for now, the difference between a number and 5 is
x - 5
Twice that difference is
2(x - 5)
And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.
26.999999999999 < 27
So the final result is
2(x - 5) < 27
is this a reasonable estimate? Why?
Answers
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
