Both the circles in the figure below have a radius of 5 cm. Find the area of the rectangle?Immersive Reader
(1 Point)
50 sq.cm
50π sq.cm
100 sq.cm
200 sq.cm
PLEASE HELP ME PLS!
Answers
Answer:10
Step-by-step explanation:
I guessed
The area of the rectangle is 200 square cm
The radius of the circle is given as:
[tex]r = 5cm[/tex]
The width of the rectangle is made by 2 circles (i.e. 4 radii).
So, we have:
[tex]Width = 4r[/tex]
The length of the rectangle is made by 1 circle (i.e. 2 radii).
So, we have:
[tex]Length = 4r[/tex]
The area of the rectangle is then calculated as:
[tex]Area =Length * Width[/tex]
This gives
[tex]Area = 2r * 4r[/tex]
[tex]Area = 8r^2[/tex]
Substitute 5 for r
[tex]Area = 8 * 5^2[/tex]
[tex]Area = 200[/tex]
Hence, the area of the rectangle is 200 square cm
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Related Questions
Whitley park is a rectangular park with a perimeter of 70 yards. One side of Whitley park is 18 feet long. What is the area of Whitley park?
Answers
Answer:
174 yards squared
Step-by-step explanation:
If Whitley park is a rectangular park with a perimeter of 70 yards. One side of Whitley park is 18 feet long then 174 yards is the area.
What is Area of Rectangle?Area of rectangle is length times of breadth.
We know that 18 feet=6 yards.
It is given that One side of Whitley park is 18 feet long, so one side of length is 6 yards.
2(Lenght+breadth)=70
2(L+6)=70
2l+12=70
2l=70-12
2l=58
l=29 yards
Now
Area =Length×breadth
=29×6
= 174 square yards
Hence 174 square yards is the area of Whitley park.
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Susan has at most $90 to spend at the store to get ready for her party. She wants to buy deli meat that costs $10 per pound and fancy bread that costs $9 per loaf. However, she can only hold at most 6 items in her basket. How many pounds of deli meat and loaves of bread should she buy? Write a system of inequalities to model the situation. Let x represent number of pounds of deli meat and let y represent number of loafs of bread.
What is on of the inequalities from this situation above?
Answers
Answer:
.
Step-by-step explanation:
Jamal has an 8-foot piece of wood that he wants to cut to build a step for his tree house if each piece is going to be 5/6. What is the greatest number of pieces he will be able to use
Answers
Answer:
9
Step-by-step explanation:
A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar?
A) $140,800
B) $186,463
C) $152,875
D) $151,113
Answers
Answer:
D
Step-by-step explanation:
Craig hired 3 high school students to work for his dog walking business. This week, they walked a total of 31 dogs.
Allyson walked 5 less dogs than Brooke.
Carlos walked 3 more dogs than Brooke.
How many dogs did Carlos walk this week?
o Carlos walked 6 dogs.
o Carlos walked 8 dogs.
O Carlos walked 11 dogs.
o Carlos walked 14 dogs.
Answers
Answer:
Carlos walked 14 dogs
Step-by-step explanation:
Let x denotes number of dogs that Carlos walked this week.
As Allyson walked 5 less dogs than Brooke,
Number of dogs that Allyson walked = [tex]x-5[/tex]
As Carlos walked 3 more dogs than Brooke,
Number of dogs that Carlos walked = [tex]x+3[/tex]
Also, total number of dogs walked this week is equal to 31.
So,
[tex]x+x-5+x+3=31\\3x-2=31\\3x=31+2\\3x=33\\x=\frac{33}{3}\\ x=11[/tex]
Therefore, Carlos walked [tex]x+3=11+3=14[/tex] dogs
What does cap mean? Any help would be nice
Answers
Answer:
lie it means lie
Step-by-step explanation:
cap means lie
Answer:
it means "lie"
Step-by-step explanation:
for exmple instead of saying "no lie" u can say "no cap" or like "Cap" like it means u lying
y + x = 11
solve for y
Answers
Y can equal 5 or 6 and many different numbers.
Same with x.
6+x=115+x=11Lets fill in x and y in both.
6+5=115+6=11.
Simplify the expression.
5.15/5
Answers
Value of the expression 5.15 / 5 is equals to 1.03.
What is expression?
" An expression in mathematics is a representation of two or more numbers or variables which are connected by mathematical operation."
According to the question,
Given expression 5.15 / 5
= 1.03
Hence, value of the expression 5.15 / 5 is equals to 1.03.
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Evaluate
3x (x + 2) – 3x? for x = 19
Answers
Answer:
1140
Step-by-step explanation:
3x(x + 2) - 3x
x = 19
3 * 19( 19 + 2) - 3 * 19
3 * 19(21) - 3 * 19
3 * 19 = 57
57(21) - 3 * 19
57 * 21 = 1197
1197 - 57
1140
Hope this helped!
Which descriptions of a histogram are true? Check all that apply..
A peak is a bar that is lower than the other bars around it.
A peak is where the frequency is lowest.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is clustered toward the right side.
If the graph is symmetrical, the data is evenly distributed.
Answers
Answer:
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is evenly distributed.
Step-by-step explanation:
The correct statement about histogram is as follows;
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is evenly distributed.
We have to determine, which descriptions of a histogram are true?
According to the question,
A histogram meaning can be stated as a graphical representation that condenses a data series into an easy interpretation of numerical data by grouping them into logical ranges of different heights which are also known as bins.
Characteristics of a Histogram are as follows;
A histogram is used to display continuous data in a categorical form.
In a histogram, there are no gaps between the bars, unlike a bar graph.
The width of the bins is equal.
A histogram is a type of representation of a data set where bars are used to represent the frequencies.
The area of these bars is said to be proportional to the frequency of the variable.
The peak of a histogram represents the highest value of frequency. Also, the peak is a bar that is higher than the other bars around it.
In a histogram intervals wherein bars cannot be seen would represent the frequency of that would zero.
Also, if the histogram is said to be symmetrical, then the data should be distributed evenly.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
For more details refer to the link given below.
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Which of the following points is a solution to y s -2x + 3?
(0,4)
(1, 0)
(3,-2)
(5,-2)
Answers
Answer:
0,4
Step-by-step explanation:
a soccer ball is kicked from the ground, abd it traveled at a rate of 8 meter per second. using his function h= -5t^2+8t
Answers
Answer:
h(t)=0 so we have two answers from this equation t=0 & t=4. 4-0=4 seconds the ball was in the air
Step-by-step explanation:
Find the distance between the two points,(8,-7) (-4,-2) ROUND TO THE
NEAREST TENTH)
Answers
Answer:
square root of 169 =13
Step-by-step explanation:
distance between 2 points is given by the square root of (144+25)
Joe traveled 125 miles in 5 hours. How many miles would he travel in 1 hour?
Answers
Answer:25
Step-by-step explanation:
The distance traveled by Joe in 1 hour is required.
The distance Joe would travel in 1 hour is [tex]25\ \text{miles}[/tex]
SpeedDistance traveled by Joe in 5 hours is 125 miles.
[tex]5\ \text{hours}=125\ \text{miles}[/tex]
Divide by [tex]5[/tex] on both sides
[tex]1\ \text{hour}=\dfrac{125}{5}=25\ \text{miles}[/tex]
The speed of Joe is [tex]25\ \text{miles/h}[/tex]
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Traditionally, the earth's surface has been modeled as a sphere, but the World Geodetic System of 1984 (WGS-84) uses an ellipsoid as a more accurate model. It places the center of the earth at the origin and the north pole on the positive z-axis. The distance from the center to the poles is 6356.523 km and the distance to a point on the equator is 6378.137 km. Meridians (curves of equal longitude) are traces in planes of the form y=mx.
Required:
a. Find an equation of the earth's surface.
b. What is the shape of these meridians?
Answers
Answer:
a) x²/(6378.137)² + y²/(6378.137)² + z²/(6356.523)² = 1
b) x²/(6378.137)²/(1+m²) + z²/(6356.523)² = 1
Step-by-step explanation:
a)
We know that the general equation of the ellipsoid with center at the origin is
x²/a² + y²/b² + z²/c² = 1
Since the north pole is along the z-axis and north pole is at a distance of 6356.523 km from the center, so c = 6356.523
And the distance between center to a point on the equator is 6378.137 km so we have, a = b = 6378.137
Thus, the equation of the earth's surface as used by WGS-84 is
x²/(6378.137)² + y²/(6378.137)² + z²/(6356.523)² = 1
b)
Meridians are traces in planes of the form y=mx, so the equation of paraboloid gives;
x²/(6378.137)² + m²x²/(6378.137)² + z²/(6356.523)² = 1
x²/(6378.137)²/(1+m²) + z²/(6356.523)² = 1
6(3 + 2) + (8 – 2 x 4) =
Answers
Answer:
30
Step-by-step explanation:
6(3 + 2) + (8 - 2 × 4)
Always apply the law of BIDMAS when solving an expression
6(3 + 2)
18 + 12
30
(8 - 2 × 4)
= 8
8 - 8 = 0
30 + 0 = 30
A candy company used 18 pints of chocolate to make 3 boxes of candy. What is the rate of chocolate per box?
Answers
Answer:
6 chocolates per box.
Step-by-step explanation:
Kale is hiking 2,345 feet above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level. What is
the vertical distance between Kale and the mountain peak?
938 feet
O 942 feet
O 1,142 feet
O 5,628 feet
Answers
Answer:
938
Step-by-step explanation:
Because if you subtract 3,283-2,345 you will get 938
Also because it is right on edge
Answer:
938 :)
Step-by-step explanation:
1,000% of 880 is the same as 60 percent of what number?
Answers
Answer:
Step-by-step explanation:
1000% of 880=8800
60%*x=8800
60x=8800
/60. /60
1%x=146.6
*100. *100
100%=14666.67
Help with this pls thank you
Answers
A coin contains 999 grams of nickel and 161616 grams of copper, for a total weight of 252525 grams.
Answers
Answer:
X=64%
Step-by-step explanation:
The percentage of Cooper in the coin is 64%
How do you come to this conclusion?
252525--100%
161616--X%
Now you can use the cross rule: X=(161616x100)/252525
Check it out now X=64%
Answer:
Your MOM
Step-by-step explanation:
The table below shows the typical hours worked by employees at a company. A new employee is offered an annual salary of $37,000. Hourly employees get paid $14 per hour, but get $21 per hour for each hour over 40 hours. Should the new employee choose the salaried or hourly pay? Explain your reasoning.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8.5
9.5
7.5
8
8.5
4
Answers
The new employee should select the salary pay because a $37,000 yearly income is more than a $35,672 hourly wage.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The table below shows the typical hours worked by employees at a company.
Based on the data given:
Total number of hours = 0+ 8.5 + 9.5 + 7.5 + 8 + 8.5 + 4
Total number of hours = 46
Hourly pay = (40×$14) + (6×$21)
Hourly pay = $686 per week
Annual earnings = 52×686
Annual earnings = $35,672
The new employee should select the salary pay based on the calculations above since a $37,000 yearly income is more than a $35,672 hourly wage.
Thus, the new employee should select the salary pay because a $37,000 yearly income is more than a $35,672 hourly wage.
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Ktoś mi pomoże s tą stroną?
Answers
Answer:
Is there an English translation?
I Cant figure out to copy and paste and Ive been asking since yesterday for help but when I type it out no one understands it
Answers
Answer:
Copy and paste is just control+c if you are in a chromebook or something similar. If you are on a Mac then it is command+c
Step-by-step explanation:
:)) Im not sure if you wanted to learn how to copy and paste or the question. If you needed help on the question , the question is not fully visible.
Can you solve x and y please
Answers
Answer:
x = 12y = 125Step-by-step explanation:
The upper and lower angles are vertical angles, so congruent:
(5x -5)° = 55°
x - 1 = 11 . . . . . . . divide by 5°
x = 12
_____
The 55° angle and y° are a linear pair, so are supplementary.
y° = 180° -55°
y = 125 . . . . . . . simplify, divide by °
The administrator of a $200,000 trust fund must adhere to following guidelines.
a. The money may be invested in three different types of securities: a utilities stock paying a 9% dividend, an electronics stock paying a 4% dividend, and a bond paying 5% interest.
b. The amount invested in the stocks cannot be more than half the total amount invested; the amount invested in the utilities stock cannot exceed $40,000; and the amount invested in the bond must be at least $70,000.
c. The total amount need not be fully invested at any one time.
Required:
Setup an LP problem to maximize profit.
Answers
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
If the function f(x)= 2(x+1)²-1 is invertible, over what interval could the domain of f(x) be restricted?
A. (-∞, -1)
B. (-∞, ∞)
C. (-∞, 0)
D. (-∞, 1)
Answers
Help Solve???????????
Answers
Answer:
-m^2 - 9m + 3 (the third one)
Step-by-step explanation:
separate the terms and group them with their equivalents (integers:inetgers, variables: variables, etc.) like so:
4m^2 & -5m^2 = -m^2
-8m & -m = -9m
12 & -9 = 3
add them all together to get the expression -m^2-9m+3
A military commander has been assigned the task of defending an asset from enemy air attack. Commander has two types of air defense missiles; 5 missiles each of type I and type II are available for deployment. Each type I missile costs 7 units for installation and each type II missile costs 8.5 units for installation. The total budget available is 60 units. Each type I missile requires 6 persons for handling whereas each type II requires 2 persons. There are only 32 trained persons to handle the missiles at the site. If the site is not defended the enemy aircrafts are estimated to destroy 95% of the asset value. If one type I missile is deployed on the site, it is expected to save 13% of the asset value. Similarly, deployment of one type II missile is estimated to save 9% of the asset value. In other words, the enemy aircrafts which were earlier capable of destroying 95% of the asset value are able to destroy 82% of the asset value in the presence of one missile of type I and 86% of the asset value in the presence of one missile of type II. Formulate an LP to determine the mix of missiles that provides maximum protection to the asset against an attack of enemy aircrafts aiming simultaneously.
Answers
Step-by-step explanation:
we have A and B
for A,
95-82 = 13
for B,
95-86 = 9
cost of A = 9
cost of B = 8.5
total = 60
for person
A = 6,
B = 2
Total = 32
setting up objective function:
13x + 9y
constraints:
0≤x≤5, 0≤x≤5
7x + 8.5y ≤ 60
6x + 2y ≤ 32 this can be reduced by 2
3x + y≤16
this would take us to a bounded region which has the corner points and the objective values in the attachment i added.
Suppose the technology matrix for a closed model of a simple economy is given by matrix A. Find the gross productions for the industries. (Let H represent the number of household units produced, and give your answers in terms of H.)
Answers
Answer:
hello your question is incomplete attached below is the complete question
Answer :
products : [tex]\frac{7H}{17} units[/tex]
machinery : [tex]\frac{H}{17} units[/tex]
households : H units
Step-by-step explanation:
attached below is the remaining part of the detailed solution
products : [tex]\frac{7H}{17} units[/tex]
machinery : [tex]\frac{H}{17} units[/tex]
households : H units