19th October, 2020
the diagram below is a plane figure made up
of a rectangle of sizes 50m by 28 m and an
equilateral of height 24 cm. A circle is cut-out
of the rectangle as shown. If the circle
touches the three sides of the rectangle Calculate
a) the perimeter of the figure
the remaining portion of the figure.
Answers
Answer:
Step-by-step explanation:
Equilateral Triangle:
Side of triangle = breadth of rectangle
= 28 cm
height = 24 cm
Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]
= [tex]\frac{1}{2}*28*24[/tex]
= 28* 12
= 336 square cm
Rectangle:
length = 50 m
breadth = 28 m
Area of rectangle = length * breadth
= 28 * 50
= 1400 square cm
Diameter of circle = breadth of rectangle
d = 28 cm
r = 28/2 = 14 cm
Area of circle = πr²
[tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]
= 616 square cm
Area of the remaining portion = Area of rectangle - area of circle + area of triangle
= 1400 - 616 + 336
= 1120 square cm
Perimeter of the figure = 28 + 50 + 28 + 28 + 50
= 184 cm
Hint: Perimeter of the figure. three side of rectangle + two sides of triangle
Related Questions
Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consisting of two different dishes on the menu. How many different mix-and-match plates can you get consisting of two savory dishes?
Answers
Answer:
45
Step-by-step explanation:
Given that the number of savory dishes is 9 and the number of sweet dished is 5.
Denoting all the 9 savory dishes by [tex]p_1, p_2,...,p_9[/tex], and all the sweet dishes by [tex]q_1,q_2,...,q_5[/tex].
The possible different mix-and-match plates consisting of two savory dishes are as follows:
There are 9 plates with [tex]q_1[/tex] from sweet plates which are [tex](q_1, p_1), (q_1, p_2), ..., (q_1,p_9).[/tex]
There are 9 plates with [tex]q_2[/tex] from sweet plates which are [tex](q_2, p_1), (q_2, p_2), ..., (q_2,p_9).[/tex]
Similarly, there are 9 plated for each [tex]q_3, q_4[/tex] and [tex]q_5.[/tex]
Hence, the total number of the different mix-and-match plates consisting of two savory dishes
[tex]= 9+9+9+9+9= 9\times5=45[/tex]
Answer:
45
Step-by-step explanation:
each savory dish gets one sweet dish therefore 9*5=45
A company is re-evaluating the way they produce standard staple strips. Staples are individually cut from one piece of wire then bent and bonded to other staples before being put into boxes for distribution. The company currently uses 8-meter pieces of wire to create these staple strips; however, four other lengths are also available for use. Which is the shortest available wire that can be used to make a staple strip? A. 4-meter piece B. 5-meter piece C. 6-meter piece D. 7-meter piece
Answers
Answer:
Step-by-step explanation:
The given parameters are;
The length currently used to make staple strips by the company = 8-meter pieces
The process of making staples by the company = Cut, bending, and bonding
Therefore, given that the process of manufacturing staple strips are by cutting strips of wire, we have;
The wire most suitable for the manufacture of staple strips is a wire that is a factor of 8
Therefore, among the given options, the wire with length l = 4-meters which is the 8-meter length split into two, is the most suitable, because 4-meter = 8-meter/2, whereby 4 is seen as a factor 8 or 8 = 4 × 2, such that two 4-meter wire strips will make the same quantity of staple pins as one 8-meter strip.
if you move point toward point B along BC how does m_ABC change? How do mZBAC and mZACB change? What happens to these
angles if you move point C away from point B along BC?
Answers
Answer:
i think its abc stays same, bac gets smaller, and acb gets bigger
for the second part, abc same, bac bigger, acb smaller
Step-by-step explanation:
if you picture the triangle in your head that probably would help
If we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
What is an angle?Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.
Here Given in the question that Point C is movable and it moves towards point B.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same. Therefore ∠ABC will remain the same.
If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.
Therefore if we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.
If we take point C far from point B, then the thing will be reversed except ∠ABC.
Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
Learn more about the angle
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help plz ive been stuck on this for a while now
Answers
Answer:1.20/5
Step-by-step explanation:
Answer:
9/10 or in decimal form 0.9
Step-by-step explanation:
What is the graph of the line 4x + 2y = 6?
Answers
Answer:
here you go, this is your answer
why is eid more inportant than ramadan???
brainlest for 1
Answers
Answer:
eid is more important then Eid
Step-by-step explanation:
Eid al-Fitr - which means 'festival of the breaking of the fast - is celebrated at the end of Ramadan, , a month when many adult Muslims fast. Eid al-Adha - which means 'feast of the sacrifice' - is celebrated just over two months later, at the same time when many Muslims perform the Hajj pilgrimage.
Answer:
because we get to spend eid with family and friends.
Step-by-step explanation:
but they're equally important, in my opinion
Base area of a room is 34m^2 and height of the room is 10m. Find the volume
Answers
Answer:
340 m³
Step-by-step explanation:
Hi there !
V = Ab×h
= 34m²×10m
= 340 m³
Good luck !
The volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.
Given the following data:
Base area of room = 34 [tex]m^2[/tex]Height of room = 10 metersTo find the volume of the room:
Mathematically, the volume of a room is given by the formula:
[tex]V = Bh[/tex]
Where:
V is the volume of an object.B is the area of an object.h is the height of an object.Substituting the given parameters into the formula, we have;
[tex]V = 34 \times 10[/tex]
Volume = 340 cubic meter.
Therefore, the volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.
Read more: https://brainly.com/question/22497109
Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
Answers
Answer:
51 meters
Step-by-step explanation:
The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.
As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,
The length of fencing = The length of the diagonal AC or BD
As the length of both the diagonals of a rectangle are equals, AC=BD.
The length of fencing [tex]=\sqrt{l^2+w^2}[/tex] [length of the diagonal]
[tex]=\sqrt{45^2+24^2}=51[/tex] meters
Hence, Steve needs 51 meters of fencing.
can someone help me with this q6
Answers
Answer:
y=2X
Hope this helps!!!
I need Help! I have 2 questions.
Answers
Answer:
[tex]g=\frac{2m+b}{k}[/tex] ⇒ 2nd answer
[tex]x=\frac{c}{(a+b)}[/tex] ⇒ 1st answer
Step-by-step explanation:
To solve any equation for one of its variable do that:
Separate the variable on one side and the other terms on the other sideMake the coefficient of the variable = 1∵ [tex]\frac{2m+b}{g}=k[/tex]
→ Multiply both sides by g to take g to the right side
∴ [tex]\frac{(2m+b)(g)}{g}=k(g)[/tex]
∴ 2m + b = kg
→ Divide both sides by k, to move k to the left side
∵ [tex]\frac{2m+b}{k}=\frac{kg}{k}[/tex]
∴ [tex]\frac{2m+b}{k}=g[/tex]
→ Switch the two sides
∴ [tex]g=\frac{2m+b}{k}[/tex]
∵ ax + bx = c
→ Take x as a common factor from the both terms on the left side
∴ x(a + b) = c
→ Divide both sides by (a + b) to move it to the right sides
∴ [tex]\frac{x(a+b)}{(a+b)}=\frac{c}{(a+b)}[/tex]
∴ [tex]x=\frac{c}{(a+b)}[/tex]
If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all
Answers
Answer:
gbklkijgggddfhokjvhjk
Jackson Elementary School ordered 25 pizzas for an awards ceremony. At the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over. What is a reasonable estimate for the number of pizzas the students ate at the awards ceremony?
Answers
Answer: 9 pizzas
Step-by-step explanation:
From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.
A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:
= 25 - (8 1/4 + 7 3/4)
= 25 - 16
= 9 pizzas
Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.
Answers
Answer:
Put 6 yellow unit tiles on the right side of the equal sign.Step-by-step explanation:
Given the equation that Juanita wants to model expressed by the equation
3 x + 2 = -x + 6
If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6
We can as well calculate the value of x from the expression as shown;
3 x + 2 = -x + 6
collect like terms
3x+x = 6-2
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Answer:
the answer is D put 6 yellow unit tiles
Step-by-step explanation:
i took the test review and test
Car a travels 15 miles while car b travels 26 miles what is the ratio of car a to car b
Answers
Answer: 15:26
Step-by-step explanation:
Given: Car a travels 15 miles while car b travels 26 miles.
Now, the ratio of the distance traveled by car a to car b is given by :-
[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.
So, the the ratio of the distance traveled by car a to car b = 15:26
Hence, the ratio of car a to car b = 15:26
5x-8= 1/3 (6x+12)-3x
a) -1
b) -12/5
c)10/3
d) 2
Answers
Answer:
c
you have to do whatever is in the pertussis
What is -2x-4y=36 written in slope-intercept form?
Question 3 options:
y=12x+9
y=−12x+9
y=−2x−9
y=−12x−9
I will give a brainliest
Answers
+2x. +2x
-4y=2x+36
/-4. /-4. /-4
Y=-1/2x-9
Y= -1/2x -9 is the answer
8x+x(−2x+6)−7(−2x2+5x−6)
help me this
Answers
Answer: 12x2 -21x +42
Step-by-step explanation:
All the comic books in a store are the same price. Vera
buys 3 comic books for $7.50. How much do 5 comic
books cost? How much do 8 comic books cost?
Answers
Answer:
The price for 3 comics is $12.50 and the price for 8 comics is $20.00.
Step-by-step explanation:
To calculate the price of one comic, we can divide the price of the comics by the amount bought:
= $7.50 ÷ 3
= $2.50
Therefore, one comic is $2.50
To figure out how much 5 and 8 comics are, just multiply these numbers by the price of one:
= 5 x $2.50
= $12.50
= 8 x $2.50
= $20.00
The price for 3 comics is $12.50 and the price for 8 comics is $20.00.
4y+2x+30 if x=2and y=5
Answers
Answer:
54
Step-by-step explanation:
First let's replace the values x and y.
4y + 2x + 30 will become (4 * 5) + (2 * 2) + 30
Then we do order of operations.
(4 * 5) is 20..
20 + (2 * 2) + 30
Then we do (2 * 2) which is just four.
20 + 4 + 30
Lastly we add it all up.
24 + 30 = 54
I hope this helps, I hope it's not wrong, but I don't think it is.
Cinco menos tres cuartos x ?
Answers
Answer:
4.25
Step-by-step explanation:
5-3/4=4.25
sry if im wrong hope this helps
brainliest? please?
which is the best series on netflix ?
Answers
stranger things A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A brace
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring. yeey this is important
Answer:
on my block
Step-by-step explanation:
i really love it so you probably will too:)
Help!! For algebra 2
Answers
Answer:
the first is an expression with a variable x, it describes a parabola, while the second is an equation involving a variable x and x can only have specific values that satisfy the equation.
Step-by-step explanation:
How many degrees is are
Answers
Answer:
AMH = 32
Step-by-step explanation:
The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal
x+86 = 24+2x
Subtract x from each side
x+86 -x =24+ 2x+2x-x
86 = 24 +x
Subtract 24 from each side
86-24 = 24+x-24
62 =x
x+86 = 62+86 =148
AMH is supplementary since it forms a straight line
AMH + x+86 = 180
AMH + 148 = 180
AMH = 180-148
AMH = 32
Students at the college are allowed to work on campus
no more than 20 hours per week. The jobs that are
available pay different rates, starting from $8.75 an hour.
Students can earn a maximum of $320 per week.
Write at least two inequalities that could represent the
constraints in this situation.
Answers
Answer: theres a website called weegy did you try that?
Which of the x values are solutions to the inequality 4≥2-4x
Answers
Answer:
x = -1/2
Step-by-step explanation:
Given:
Inequality 4 ≥ 2 - 4x
Find:
Value of x
Computation:
4 ≥ 2 - 4x
4x ≥ -2
x ≥ -1/2
x = -1/2
can somebody please help me with this
Answers
Answer:
x=35 degrees
y=85 degrees
Step-by-step explanation:
2x+25=3x-10
x=35
2*35+25=95
180-95=85
Answer:
y=85
Step-by-step explanation:
2x+25 and 3x-10 are reflexive angles, which means they are equal.
First, we must find [tex]x[/tex]. We can do [tex]2x+25&=3x-10[/tex], x=35. We can now do [tex]2\cdot(35)+25=70+25=95[/tex]. There are 180 degrees on that line, which means that [tex]y=180-95=85.[/tex]
6. One of Mollie's favorite toys is a set of hollow rectangular plastic blocks that can be filled with water to use as bath toys. The red block has dimensions 4 1/4 inches by 6 1/4 inches by 5 1/4 inches. Which represents the volume of the red block? Select all that apply. a. 30 cubic inches b. 2,231 and 1/4 cubic inches c. 139 and 29/64 cubic inches d. 557 cubic inches e. (17/4) (25/4) (21/4) cubic inches f. 8,925/64 cubic inches
Answers
Answer:
Option c. is correct
Step-by-step explanation:
Given: The red rectangular block has dimensions [tex]4\frac{1}{4}[/tex] inches by [tex]6\frac{1}{4}[/tex] inches by [tex]5\frac{1}{4}[/tex] inches.
To find: volume of the red block
Solution:
Volume of the rectangular box = length × breadth × height
First convert [tex]4\frac{1}{4}[/tex], [tex]6\frac{1}{4}[/tex] and [tex]5\frac{1}{4}[/tex] inches into improper fractions.
[tex]4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}[/tex]
So,
Volume of the rectangular box [tex]=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}[/tex] cubic inches
What is f(5) for the function f(x) = 6x + 1?
Answers
Answer:
31
Step-by-step explanation:
plug in 5 for x
6(5)+1
30+1
31
A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given funciton,
f(x) = 6x + 1
At x = 5
f(5) = 6(5) + 1
f(5) = 30 + 1 = 31
Hence "A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31".
For more about the function,
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Terri's recipe for pies calls for 1 1/3 cups of flour. If she has 10 cups of flour, how many pies can she make?
Answers
Answer:
She can make 7 pies
10 divided by 1 1/3 is 7.5
Step-by-step explanation:
Answer:
She can make 7 pies
Step-by-step explanation:
1 1/3=1.333
1.333×7=9.331
and
1.333×8=10.664
Meaning she wouldn't have enough for 8 pies
Therefore the answer is 7
3. Tom, Sam and Matt are counting drum beats.
Tom hits a snare drum every 4 beats.
Sam hits a kettle drum every 10 beats.
Matt hits a bass drum every 12 beats.
Tom, Sam and Matt start by hitting their drums at the same time.
How many times are each of their beats heard before Tom, Sam and Matt next hit
their drums at the same time?
Answers
Answer:
When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.