A polygon is shown:
A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.
The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is
square units. (Input whole numbers only, such as 8.) (5 points)
Answers
Answer:
The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.
Step-by-step explanation:
In the given polygon MNOPQR, side MN is parallel to side RQ and the side MR is parallel to side PQ
We will draw a perpendicular line from point O on the side RQ, which will intersect RQ at point S. So, we can now divide the whole polygon into two different rectangles MNSR and OPQS with the areas as A₁ and A₂ respectively.
In rectangle MNSR, length(MN) = 5 units and width (MR) = 3 units
According to the formula for Area of rectangle,
A₁ = (length)×(width)
A₁ = (5 units)×(3 units)
A₁ = 15 square units
Now in rectangle MNSR, side MN= side RS and side MR = side NS,
so RS= 5 units and NS= 3 units
That means, SQ= RQ- RS = 7-5 = 2 units
and OS= NS - NO = 3- 2 = 1 unit
In rectangle OPQS, we have length(SQ) = 2 units and width(OS) = 1 unit
So, A₂ = (length)×(width)
A₂ = (2 units)×(1 unit)
A₂ = 2 square units
So, the area of polygon MNOPQR = (Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units)
Related Questions
One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.
Also if you could have and image of where everything is supposed to be graphed that would be awesome.
Answers
Answer:
Table C.
Step-by-step explanation:
------> x = -2, y = -4 --->k = -4 / -2 = 2
------> x = -1, y = -2 --->k = -2 / - 1 =2
------> x = 1, y = 2 --->k = 2/1 = 2
------> x = 2, y = 4 --->k = 4/2 = 2
Table C, has the same value of k
Thus, table c represent a " proportional relationship "
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Which expression has a coefficient of 2? Choose All
A. x + 2y + 18
B. 1.2a + 4b + 2
C. 24k divided by 12
D. 17 + 2j
E. 2t divided by 100
Answers
Answer: A, D, E
Step-by-step explanation:
A. Is correct because the coefficient of 2y is 2. D. is correct because the coefficient of 2j is 2. Lastly, E. is correct because 2t has the coefficient of 2.
A structure covering a sports practice field has the shape of half of a cylinder, as shown. What is the total surface area of the structure to the nearest square yard? Use 3.14 for pi.
Answers
Answer: E
Step-by-step explanation: Because yes
a
15°
b
25°
c
30°
d
60°
Answers
∠CAB +∠ CBA +∠ ACB = 180°
Sum of all angle of triangle is 180° ..
75 + 75 + ∠ACB = 180°
∠ACB = 180° - 150°
∠ACB = 30°
Now ,
x = ∠ACB ( being vertically opposite angle)
x = 30°
The angle measure of x is 30°.
What is a Triangle?The polygon known as a triangle has three sides and three vertices.
The triangle's total angle is 180 degrees.
Given that a triangle has 2 known angles measuring 75° and 75°.
Let the third missing angle measure is y.
And y and x are opposite angles in the diagram.
So, x = y.
The sum of all the interior angle measures of a triangle is 180°.
So, 75 + 75 + y = 180
y = 180 - 150
y = 30°
So x = y = 30°
Therefore, x = 30°.
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You flip a coin 8 times and get heads 6 times. so the probability is 6/8
Answers
Answer:
yes
Step-by-step explanation:
yes
If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the rule used was (x, y) --> (x, -y), which transformation has occurred?
A) Reflection across the y-axis
B) Reflection across the x-axis
C) Rotation of 90° around the origin
D) Translation
Answers
Answer: A) Reflection across the y-axis
A set of eight cards were labeled with D, I, V, I, S, I, O, N. What is the sample space for choosing one card?
S = {V, S, I, D, I, I, N, O}
S = {D, I, S, O, N}
S = {V, I, O}
S = {D, I}
Answers
Answer:S = {V, S, I, D, I, I, N, O}
Step-by-step explanation: Im not sure but im pretty sure that this is the answer
What is Calculus? Give equations that are an example of calculus.
Answers
Answer:
the branch of mathematics that deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences. The two main types are differential calculus and integral calculus.
Step-by-step explanation:
Let f(y) = y2 and g(y) = ey.
What is the ordered pair Pls hurry up !!!!!
y=3x +8
5x+8y=6
Answers
5x+24x+64=6
29x+64=6
29x=-58
X=-2
Y=3(-2)+8
Y=-6+8
Y=2
(-2,2)
50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
Answer the following linear equations: x3+y3+z3=k
2x – y = 6, x – y = 2
and ax + by = a-b, bx – ay = a+b
TYVM!! :)
Answers
Answer:
Linear Equation 1 — 3xyz
Linear Equation 2 — x = 4 and y = 2
Linear Equation 3 — x = 1 and y = (-1)
Step-by-step explanation:
(Linear Equation 1)
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
The required result must be 3xyz.
(Linear Equation 2)
2x − y = 6 ....(1)
x − y = 2 ....(2)
Equation(2)−Equation(1) we get
x − y − 2x + by = 2 − 6
(−x) = (−4)
x = 4
Substitute x = 4 in (1) we get
2x − y = 6
2*4 − y = 6
8 − y = 6
(−y) = 6 − 8
y=2
(Linear Equation 3)
ax + by = a − b .......... (1)
bx − ay = a + b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a²x + aby = a² − ab ..........(3)
b²x − aby = ab + b² ......... (4)
Adding (3) and (4), we get,
(a² + b²)x = a² + b²
x = 1
Now, from (1),
ax + by = a − b
a + by = a − b
by = (−b)
y = (−1)
Hope my answer helps you ✌️
Mark BRAINLIEST
Please help ASAP 20 points
Answers
= 28, and 40/1 = 40 would be the answer
guys i need help on my aleks topics pls!
Answers
No aswer is correct
Step-by-step explanation:
For a) it should be the second choice. You can clearly see as months pile on, so does the money. Now they ask for the rate. Let’s do the 6 months one. 423/6 is 70.5.
So the rate is for every 1 month, it’s $70.50 added. And if I’m not wrong, I believe she started with $70.50 in the bank. She rich rich
Please help I am le dum
Answers
Answer:
p = 2x + 14
Step-by-step explanation:
Perimeter
p = 2l + 2w
p = 2(x + 2) + 2(5)
p = 2x + 4 + 10
p = 2x + 14
Perímetro = 2(x + 7)
help ASAP please, tysm!
Answers
Answer:
22
Step-by-step explanation:
Area of rectangle: 6
Area of triangle: 4+3+1 = 8
8x7=56/2 =28
28-6=22
Answer: 22
Step-by-step explanation:
First, you want to find the area of the triangle with the formula 1/2 × b × h.
1/2 x 8 x 7 = 28
Next, you want to find the area of the smaller rectangle with the formula, b x h
3 x 2 = 6
Then, you subtract the two numbers
28 - 6 = 22
A student wants to know the approximate distance between London and Beijing. Using a string, she finds that the distance on a globe between London and Beijing is about 36 centimeters and between London and New York is about 22 centimeters. The actual distance between London and New York is about 5000 kilometers. If she lets d represent the approximate distance in kilometers between London and Beijing, what is d rounded to the nearest whole number?
Answers
Answer: 8182
Step-by-step explanation:A correct proportion to use is 22 over 5,000 = 36 over d
rite an addition equation to show how you decomposed
7/6
.
Answers
Answer:
For the fraction model, fill the whole left bar, and only 1 in the right bar.
The addition equation is:
⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ = 7/6
Explanation:
Since the bar is divided into sixths (1/6 each), just count by 1/6 each time you fill each one and use the equation to represent the process.
I don't really understand this question.
Answers
Answer:
a) 3/2 or 1 1/2
b) 5/3 or 1 2/3
Step-by-step explanation:
1/2 + 1/2 + 1/2 =
3 x 1/2 =
3/2 or 1 1/2
1/3 + 1/3 + 1/3 + 1/3 + 1/3 =
5 x 1/3 =
5/3 or 1 2/3
Answer: (a) 1 1/2 and (b) 1 2/3
Step-by-step explanation: (a) 1/2 + 1/2 + 1/2 = 1/2 x 3
= 3/2
Now convert this into mixed fractions (basically divide the smaller number of the improper fraction by the the bigger one).
Therefore, 3/2 = 1 1/2 ( 1 1/2 is 1 whole and 1/2)
(b) 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 1/3 x 5
= 5/3
mixed number = 1 2/3 ( 1 2/3 is 1 whole and 2/3)
Candy has some money
She bought a drink for £ 1.45 and a piece of cake for £ 1.20
She now has two thirds of her money left.
How much money did Candy have to start with
Answers
Answer:
7.95
Explanation:
1.45+1.20= 2.65
2.65x3=7.95
There are 30 businesses with 4 executives each for the new office building. Each business needs one office for each of its
executives. The building has 1,440 offices. What is the proportion of executives to offices?
A 1 to 12
B
4 to 1
C
1 to 6
D
6 to 1
Answers
Answer:
A. 1 to 12
Step-by-step explanation:
if each business has 4 executives there is a total of 120 executives
30(4) = 120
to find the proportion of executives to offices we divide the number of offices by the number of executives
1440/120 = 12
a more in depth look is
1440 offices / 120 executives
"offices" and "executives" cannot divide each other out, but the 1440 and 120 can so it would be
12 offices / 1 executive
If the Percent of Discount is 15% and the Sale Price is $146.54 what the Original Price? PLS Y'ALL GET 100 POINTS FOR DIS! PLS HELP ME!!??
Answers
Answer: the original price of the item was $172.40.
Step-by-step explanation: If the percent of discount is 15% and the sale price is $146.54, we can use the following formula to find the original price:
Original price = Sale price / (1 - Percent discount as a decimal)
First, we need to convert the percent discount to a decimal by dividing it by 100:
15% = 0.15
Substituting the given values into the formula, we get:
Original price = 146.54 / (1 - 0.15)
Original price = 146.54 / 0.85
Original price = $172.40
Therefore, the original price of the item was $172.40.
Answer:
172.40
Step-by-step explanation:
w-[0.15]=146.54
so w-85p=146.54
146.54 divided by 80=1.724 so when you make it a percent it turns it into 172.40 which is the final answer for the money.
The break-even point occurs when the amount of money they receive from selling popcorn is
equal to the amount of money they spent to make the popcorn. It is when Revenue-Total Cost.
The break-even point tells how many items they must create and sell in order to recover their
expenses.
4. Take the Total Cost and Revenue functions that you developed above, and sketch the graph
of the two functions on one coordinate plane. Label the axes appropriately.
7. Solve the equation R(x)-C(x) for x
5. Estimate the break-even point graphically.
6. To find the break-even point algebraically, write R(x)-C(x).
Picture attached
Answers
Step-by-step explanation:
Hello. in order to solve this problem, I need to know the functions for R(x) and C(x). Please repost and I'll gladly help.
The perimeter of a semicircle is 10. 28 miles. What is the semicircle's diameter?
Use 3. 14 for
Answers
Answer:
Answer is in attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note the diameter of a circle or a semicircle is:
d = 2 x radius
D = 2x radius
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Ashley has with her?
A: 14 m x 10 m
B: 70 m x 70 m
C: 60 m x 10 m
D: 55 m x 10 m
Answers
On Wednesday, 50 cars received parking tickets. The next day only 24 cars received parking ticket.
What is the percent change?
Answers
Answer: -52
Step-by-step explanation:
Answer: -52%
Step-by-step explanation: Number of tickets received on Wednesday = 50
Number of tickets received on the next day = 24
Difference = 24 - 50 = 26
Percentage = -26/50 x 100% = -52%
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.
S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}
Answers
Please help!
Thank you
Answers
Answer:
The answer is 11/12! Hope it helps!
= 1/4 * 11/4
= 11/16
factor the polynomial. an-mn-n^2+ma
Answers
Answer:
(a-n)(n+m)
Step-by-step explanation:
This is the answer for your problem.
HELp
what the least possible digit u can make using 2,0,2,3. AND this number has to be divisible by 4
Answers
Answer:
0232
Step-by-step explanation:
0232/4 = 58
What is the volume of the prism?
Answers
Answer:
Step-by-step explanation:
The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism. = l × w × h, where l, w, and h are the length, width, and height of the rectangular prism.
The volume of the triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm is 32 cm³.
Given is a triangular prism with dimension 2.5 cm, 3.2 cm and 8 cm.
We need to find its volume.
The volume of the triangular prism = base area × height
Here,
Base area = area of the triangle
= 1/2 × base × height
= 1/2 × 3.2 × 2.5
= 4 cm²
And,
Height of the prism = 8 cm
Substituting the values,
V = 4 × 8
V = 32 cm³
Hence the volume of the prims is 32 cm³.
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help me please if you know how to do this
Answers
Answer:hi
Step-by-step explanation:
sorry i needed the points
Answer:
135.6 ft²
Step-by-step explanation:
Surface area of triangular pyramid:In the triangular pyramid, base is an equilateral triangle, and the lateral faces are congruent triangles. So, to find the surface area add the area of base triangle with the area of 3 lateral triangles.
a) Base area of pyramid:
b= 8 cm
h = 6.9 cm
[tex]\boxed{\bf base \ area \ of \ pyramid = \dfrac{1}{2}*b*h}[/tex]
[tex]= \dfrac{1}{2}*8*6.9\\\\=4*6.9\\\\= 27.6 \ ft^2[/tex]
b) Area of one lateral surface area of pyramid:
b = 8 cm
slant height = l = 9 cm
[tex]\boxed{\text{\bf area of one lateral surface area of the pyramid = }\dfrac{1}{2}b*l}[/tex]
[tex]\sf = \dfrac{1}{2}*8*9\\\\= 4 * 9\\\\= 36 \ ft^2[/tex]
c) Lateral surface area of the pyramid = 3 * area of one lateral surface area of pyramid
= 3 * 36
= 108 ft²
d)TSA of pyramid:
[tex]\boxed{\text{\bf Total surface area of pyramid = base area + lateral surface area}}[/tex]
= 27.6 + 108
= 135.6 ft²
