Answers
Answer:
Exact area = 272 - 28.125pi square cm
Approximate area = 183.6875 square cm (when using pi = 3.14)
=======================================================
Explanation:
The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.
You could also use this trapezium area formula
A = h*(b1+b2)/2
A = 24*(25+15)/2
A = 480
Whichever method you use, the trapezium has an area of exactly 480 square cm.
--------------------------------------
The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm
The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.
The parallelogram and semicircle areas add to 208+28.125pi
---------------------------------------
Subtract this from the area of the trapezium to wrap things up
480 - (208+28.125pi)
480 - 208 - 28.125pi
272 - 28.125pi
This is the exact area of the blue shaded region in terms of pi
To get the approximate area, replace pi with something like 3.14 and compute.
So 272 - 28.125pi = 272 - 28.125(3.14) = 183.6875 is the approximate area when pi = 3.14
Use more decimal digits of pi to get a more accurate value.
Related Questions
-100x – 100 = 0
-100x =
X =
Answers
Answer:
-1
Step-by-step explanation:
-100x-100=0
-100x=100
x/-100=100/-100
x=-1
When you are solving for a variable your goal is to get the variable by it seff.
x = -1
- 100x = 100
Step-by-step explanation:
[tex] - 100x - 100 = 0[/tex]
Move the constant to the right side and change the sign
[tex] - 100x = 100[/tex]
Change the sign of both side of the equation
[tex]100x = - 100[/tex]
Divide both side by the same number
[tex]x = - 1[/tex]
[tex] - 100x[/tex]
[tex] - 100 \times - 1[/tex]
Remove the ( - ) sign since negative number are multiplied by even number...
[tex]100 \times 1 \\ 100[/tex]
There are 7 black cards and 13 red cards. The probability of selecting a red card will be
Answers
Answer:
0.65
Step-by-step explanation:
Add together 7 and 13: there are 20 cards.
Then the theoretical probability of selecting a red card will be:
13
------- = 0.65
20
Answer:
Step-0.65
by-step explanation:
yes or no for part two
Answers
Show all the work and answer quick!
Answers
Answer:
a) 3x
b) 3x
c) 2 2/3 times greater
Step-by-step explanation:
The length of the rectangle:
The width of the rectangle is x. If you add the two widths together when finding perimeter, x + x, that would give you 2x.
Sum of widths: x + x = 2x
Use the sum of the widths to find the sum of the lengths by subtracting from the perimeter.
sum of lengths = perimeter - sum of widths
8x - 2x = 6x
Since there are 2 lengths divide by 2.
6x/2 = 3x
The length of the rectangle is 3x
Perimeter of the square:
The sides of the square are 1/4 of the length of the rectangle. "of" means to mulitply: (I made 3x a fraction by placing it over 1)
[tex]\frac{1}{4} (\frac{3x}{1} )[/tex] = [tex]\frac{3}{4} x[/tex]
Now find the perimeter of the square by multiplying the side length by 4.
[tex]\frac{3}{4}x(\frac{4}{1} )[/tex] = [tex]3x[/tex]
Last part:
solve the rectangle's perimeter by substituting x with 4.
P = 8x
P = 8(4)
P = 32 cm
Solve the square's perimeter by substituting x with 4.
P = 3x
P = 3(4)
P = 12 cm
Divide the rectangle's perimeter by the square's perimeter.
32/12 = 2 2/3 times bigger.
please help like i really need it
Answers
Answer:
145 degrees.
Step-by-step explanation:
It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35
A textbook store sold a combined total of 255 sociology and physiology textbooks in a week. The number of sociology textbooks sold was two times the number of physiology textbooks sold. How many textbooks of each type were sold?
Answers
Answer:
75 physiology Textbook was sold and 150 sociology textbook was sold
Step-by-step explanation:
Let x represent textbook
2x + x = 225
⇒3x = 225
⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]
⇒x = 75
75 textbooks for physiology
To find How many textbook for sociology
Multiply 2 by the amount of physiology
⇒2 × 75
⇒150 sociology textbook
Find the value of X and y in this figure
Answers
Answer:
Step-by-step explanation:
What is the value of y when y + 2.9 = 11?
Answers
Answer:
y=8.1
Step-by-step explanation:
A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.
The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.
The function p(x)=100−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.
What does (p⋅c)(2) mean about the horse-drawn carriage tour company?
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $60.
Answers
Answer:
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Step-by-step explanation:
We have,
The function representing the price charged by the customers is .
The function representing the number of customers is .
Then, the product of the functions is given by,
Substituting x = 2 in the above product gives,
Also, the charge per customer when x = 2 is,
Hence, the product (p-c)(2) represents,
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Answer:
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Set 1: 6
Set 2: 4.5
Step-by-step explanation:
To find the mean you would add them all up and divide by the total number of points, found by counting the x's. You have one 4; three 5's, two 6's, three 7's, and one 8. You would then add this up. This adds up to 60, and there are 10 points. The mean for set one is 6.
Repeat this process for set b. For this one you would get 4.5
quick qustion the answer is at the tip of my tong but I cant seem to get it right what is 100 divided by 2
Answers
Answer:
50
Step-by-step explanation:
100/2=50
Answer:
100 divided by 2 is 50
Step-by-step explanation:
i just did it in my head
I guessed Supplementary, but I think I'm just not understanding, help
Answers
Now, that you have the new wheel circumference, what will happen to the number of rotations if the circumference of the tires were increased by 20%? Calculate the number of rotations for the new wheel. Divide 63,360/new circumference =_______rotations (Please only put the number as your answer)
Answers
The number of rotations for the new wheel will be 1,056 rotations
How to calculate the circumference of a wheel?Let the initial circumference be 50 rotations (assumed)
If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:
Ne circumference = 1.2 * 50 = 60
number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations
Hence the number of rotations for the new wheel will be 1,056 rotations
Learn more on circumference here: https://brainly.com/question/20489969
66 books in 2 boxes how meany
books per box?
Answers
Answer:
33
Step-by-step explanation:
In one or two sentences, explain how Archimedes' principle can be used to find out an object's density if you already know its mass
Answers
Answer:
The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.
Step-by-step explanation:
ACTIVITY 2: Apply Pythagorean Theorem to complete the data below and write your answers on your answer sheet. Refer to the given examples. (2 points each number) A 1. 8 15 b 2. 18 24 3. 24 40 a C B 4. 16 20 5. 4 9 a² + b2 or Formulas: If c is unknown: c2 = If a is unknown: a2 = Ifb is unknown: b2 = c² - b2 or c= Va2 + b 2 a= vc2-b2 b = c2 - a2 = a² C2 - a2 or
Answers
To completely complete the data use the formula a2 + b2 = c2 in order to find the value of the missing side.
What is the pytagorean theorem?This is a general formula that can be used to find out the lenght of one of the sides in a right-angle triangle by knowing the other sides.
The general formula is:
a^2 + b^2 = c^2side a = base of the triangleside b = altitudeside c= hipotenuse (diagonal line)How to use the theorem?Replace the known sides and find the third side. For example:
a^2 + b^2 = c^25^2+6^2 = c^215 + 36 = c^251 = c^2c = √51c = 7.14Learn more about Pythagorean Theorem in: https://brainly.com/question/14504604
Full explanation please.
Answer as soon as possible
Answers
Answer:
(- 5, 9)Step-by-step explanation:
Given system of equations
- 2x - y = 1- 4x - y = 11Express the first equation as
y = - 2x - 1Substitute the value of y into second equation
- 4x - (- 2x - 1) = 11Solve for x
- 4x + 2x + 1 = 11- 2x + 1 = 11- 2x = 102x = - 10x = - 5Find the value of y
y = - 2(- 5) - 1 = 10 - 1 = 9Answer:
(-5, 9)
Step-by-step explanation:
Given system of linear equations:
[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]
To solve by substitution, use arithmetic operations to isolate y in Equation 1:
[tex]\implies -2x-y=1[/tex]
[tex]\implies -2x-y+y=1+y[/tex]
[tex]\implies -2x=1+y[/tex]
[tex]\implies -2x-1=1+y-1[/tex]
[tex]\implies y=-2x-1[/tex]
Substitute the expression for y into Equation 2 and solve for x:
[tex]\implies -4x-(-2x-1)=11[/tex]
[tex]\implies -4x+2x+1=11[/tex]
[tex]\implies -2x+1=11[/tex]
[tex]\implies -2x+1-1=11-1[/tex]
[tex]\implies -2x=10[/tex]
[tex]\implies -2x \div -2=10 \div -2[/tex]
[tex]\implies x=-5[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies -2(-5)-y=1[/tex]
[tex]\implies 10-y=1[/tex]
[tex]\implies 10-y+y=1+y[/tex]
[tex]\implies 10=1+y[/tex]
[tex]\implies 10-1=1+y-1[/tex]
[tex]\implies y=9[/tex]
Therefore, the solution to the given system of linear equations is (-5, 9).
Learn more about system of equations here:
https://brainly.com/question/27931586
Which inequality is shown in this graph?
6
5
(-2, 2)
-5
5
(0, -2)
Answers
The inequality of the graph is a linear inequality
The inequality shown in the graph is y > -2x -2
How to determine the inequality?The points on the graph are given as:
(x,y) = (-2,2) and (0,-2)
The slope (m) is calculatedusing:
m = (y2 - y1)/(x2 - x1)
This gives
m =(-2 - 2)/(0 + 2)
Evaluate
m = -2
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -2(x - 0) -2
y = -2x -2
The upper part of the graph is shaded with a dotted line, so the inequality is a greater than inequality
The equation becomes
y > -2x -2
Hence, the inequality shown in the graph is y > -2x -2
Read more about inequality at:
https://brainly.com/question/11234618
124 7/8 drained in 25 mins how much is drained each min
Answers
Convert 124 7/8 to 999/8
In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)
Use the line plot to answer the questions, and describe how you figured out the answer to each question. 80 POINTS IF ANSWERD AND GIVING BRAINLIEST
How many boxes did Lamar sell?
How many more boxes did John sell than Suzy?
How many more boxes would Lizzy have to sell to equal how many Mark sold?
Answers
X = 5 boxes
figure out the X for each person
Lizzy = 5 XLizzy sold: 5 * 5 = 25 boxes
Suzy = 1 XSuzy sold: 5 * 1 = 5 boxes
John = 3 XJohn sold: 5 * 3 = 15 boxes
Mark = 8 XMark sold: 5 * 8 = 40 boxes
Lamar = 4 XLamar sold: 5 * 4 = 20 boxes
→ How many boxes did Lamar sell?
Answer: 20 boxes
→ How many more boxes did John sell than Suzy?
Answer: 10 boxes
workout: 15 boxes - 5 boxes = 10 boxes more
→ How many more boxes would Lizzy have to sell to equal how many Mark sold?
Answer: 15 boxes
workout: 40 boxes - 25 boxes = 15 boxes more
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
Each Cross (X) represents 5 boxes
Now, let's move on to questions :
1. How many boxes Lamar sell ~-) 4 Cross = 4 × 5 = 20 boxes
2. How many more boxes did John sell than Suzy ?-) (4× Cross) - (1 × cross)
-) (3 × 5) - (5)
-) 25 - 5 = 10more boxes than Suzy
How many more boxes would Lizzy have to sell to equal how many Mark sold ?-) (8 × Cross) - (5 × Cross)
-) (8 × 5) - (5 × 5)
-) 40 - 25
-) 15 more boxes to be sold to get equal to the number of boxes mark sold.
Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
Question 9 options:
slope = -3 and y-intercept = 2
slope = 3 and y-intercept = -2
slope = 3 and y-intercept = 2
slope = -3 and y-intercept = -2
Answers
Answer:
D
Step-by-step explanation:
The formula for y=
y=(slope)x-(y intercept).
So, we are given -3 and -2 in the places-
y=(slope)-3x-(y intercept)-2
So, the answer is -3 and -2.
(D)
The 400-meter race times recorded in the boys track meet was normally distributed with a standard deviation of 3 seconds If David finished the race in 51.2 seconds with a -score of -2.6 , what was the mean time ?
Answers
Answer:
7AM was 8PM for a few days but 3the 3only 3and 3and 3and 3was is a little too much to me because I am not a fan of the cold and cold 4th
Which of the following values of x does NOT satisfy the inequality: √x > ∛x *
A:) 1
B:) 2
C:) 3
D:) 4
Answers
Answer:
1
Step-by-step explanation:
1>1 NO FALSE 1==1
Can someone please help me I will give y’all brainiest or whatever please
Answers
Answer:
c
Step-by-step explanation:
1 translates to 2 because it moves up and over
and 2 is a reflection of 3 because its a mirror image
f(x)=−8x+4 What is the value of f(−14)?
0
2
3
6
Answers
Answer: 116
Step-by-step explanation:
We can substitute x=-14, giving us f(-14)=-8(-14)+4=116
The Glitz Jewelry Kit contains round beads in 6 different colors plus 100 star-shaped beads.
There are 250 beads in all.
Answers
Answer:
False, it would actually be 106 beads. If this was a multiplication problem, that would also be false, because 6 times 100 is 600, not 350.
But let's attempt to make this statement true.
First/Last step: Find the missing beads.
The missing beads are 144.
Why?
Because you must add 144 to reach 250, there is no other way but to multiply. In this case, because the key word is, "In all" we are adding.
How do you use double angles to simplify equations? Please provide an example.
Answers
Answer:
provide an equation
ill let you know
Help if you understand thanks sm
Answers
Answer:
Represents decay ( because .72 < 1 )
The amount decreases 72% each 'x' time period
Step-by-step explanation:
Which expression has a value of -12?
F (-10 + 4)= (11 - 9)
G (3 - 5).(-4 + 10)
H (5 – 7 +22) = (-2)
(7 - 10) (3 - 7)
Answers
Answer:
G.
Step-by-step explanation:
(3 - 5).(-4 + 10)
= -2 * 6
= -12.
The units are equal to 0.2 mile
Valeria will Need to travel from information to Security frequently.
•She can ride a golf cart along the solid lines from one to other at 12 miles per hour.
•She can walk along the dashed line at 4 miles per hour.
She wants to use the faster method. How should she travel
Answers
Answer:
Take the golf cart for the fastest time, and bragging rights.
Step-by-step explanation:
See attachment
The golf cart will make the trip in 0.383 hours, while walking would require 0.85 hours.
