A square of side x is cut out of a larger square of side y. What is the area of the remaining
figure?
Answers
Answer:
The area of the remaining figure is [tex]y^2-x^2[/tex]
Step-by-step explanation:
Area of the Square Shape
Given a square of side length x, the area is calculated by the formula:
[tex]A_x=x^2[/tex]
It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.
The area of the square of side length y is:
[tex]A_y=y^2[/tex]
The shaded area of the remaining figure is the difference between both areas:
[tex]A=A_y-A_x[/tex]
[tex]A=y^2-x^2[/tex]
The area of the remaining figure is [tex]\mathbf{y^2-x^2}[/tex]
Related Questions
Jessica is hiring a plumber to remodel her bathroom. She knows that this job will take many hours to
complete, so she wants to find a plumber that costs less than $50 per hour (not including the fee for coming
out to her house). A number of plumbers submitted the cost of their most recent job. Which of the following
plumbers cost less than $50 per hour? Select two that apply.
Pattie's Plumbing charged $400 for a 7 hour job. There is no fee to come to the house,
Bill's Plumbing charged $180 for a 2 hour job. This includes a $100 fee to come to the house,
Tyrese's Plumbing charged $280 for a 3.5 hour job. This includes a $120 fee to come to the house.
Shannon's Plumbing charged $370 for a 5.5 hour job. This includes an $80 fee to come to the house.
Axel's Plumbing charged $220 for a 4 hour job. This includes a $10 fee to come to the house,
Answers
Answer:Tyreses plumbing and Bills plumbing
Step-by-step explanation:Tyrese:280-120=160/3.5=45.74
Bill:180-100=80/2=40
What does Z equal? Anyone know please help
Answers
Answer:
A z-score equal to 0 represents an element equal to the mean. ... A z-score equal to -1 represents an element that is 1 standard deviation less than the mean; a z-score equal to -2, 2 standard deviations less than the mean; etc.
Answer:
z=60 degrees
Step-by-step explanation:
Both triangles are similar which means their angles are the same but their sides/ legs aren't.
65+55=120
180-120=60
(+8)-(-9)+(-16)-(-4)=
Answers
Answer:
5
Step-by-step explanation:
8−(−9)−16−(−4)
=5
Answer:
5
Step-by-step explanation:
what's 1.5 :- 56
[tex] \div 52[/tex]
Answers
Merry Christmas
A line contains the points (4,4) and (5,2). What is the equation of the line
that contains these two points?
Answers
Answer:y=-2/1x+12
Step-by-step explanation:
To find slope you need to use slope formula (y2-y1)/(x2-x1)
(2-4)/(5-4)
-2/1 is our slope
Now we need the y-int
Y=-2/1x+b
Take one of the given points and apply it to our equation
2=-2/1(5)+b
2=-10/1+b
2=-10+b
Add 10 to each side
12=b
Our final equation is
y=-2/1x+12
Which of these strategies would eliminate a variable in the system of equations?
23 - 5y = 13
- 3x + 2y = 13
Choose all answers that apply:
A. Subtract the bottom equation from the top equation.
B. Multiply the top equation by 3. multiply the bottom equation by 2. then add the equations.
C. Multiply the top equation by 2, multiply the bottom equation by 3, then add the equations
Answers
Answer: Multiply the top equation by , multiply 3 the bottom equation by 2, then add the equations.
Step-by-step explanation:
6x - 15y = 39
+ (- 6x + 4y) + (26)
- 11y = 65
Length: 3
Width: 4+b
Answers
Answer:
18
Step-by-step explanation:
What is the slope of the line that passes through (10,-6) and (8,-16)? Write in the simplest form
Answers
Answer:
5
Step-by-step explanation:
y2-y1/x2-x1
-6- -16 = 10
10-8=2
10/2=5
Simplify using i
3 + 2i
6 + 5i
Answers
Answer:
-3i
Step-by-step explanation:
6(3+2i)
3(6+5i)
18+12i
-
18+15i
=-3i
Shannon's hair is 12 inches long and grows 0.25 inches per month. Write an equation that y is the length of her hair after x months. Interpret the slope.
Answers
Answer:
y= 12 + 0.25x
The slope would be 0.25 or 1/4 because the slope is ALWAYS the number that is next to X. I hope this helps!!!
A rental car agency charges $230.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $327.50?
The number of miles you can travl in one week for $327.50 is . (Type a whole number.)
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answers
Answer:
14.625
Step-by-step explanation:
327.50- 230.00 = 91.5
91.5 x 0.15 = 14.625
The two _______ compared in a ratio are called ______
Answers
A rope tied from a tent pole to a take in the ground forms 55 degrees angle with the ground. The pole is 3 feet from the stake, what is the length of the rope to the nearest tenth of a foot
Answers
Given:
A rope tied from a tent pole to a stake in the ground forms 55 degrees angle with the ground.
The pole is 3 feet from the stake.
To find:
The length of the rope to the nearest tenth of a foot.
Solution:
First draw a diagram according to the given information as shown below.
We know that, in a right angled triangle,
[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]
In triangle ABC,
[tex]\cos 55^\circ=\dfrac{BC}{AC}[/tex]
[tex]0.573576=\dfrac{3}{AC}[/tex]
[tex]AC=\dfrac{3}{0.573576}[/tex]
[tex]AC=5.23034[/tex]
[tex]AC\approx 5.2[/tex]
Therefore, the length of the rope is 5.2 foot.
A newly planted tree will be secured by wires, each attached to the ground 1.5 meters from the base of the tree. If each wire is 4 meters long, how high up the tree should each wire be attached, to the nearest tenth of a meter?
Answers
Answer:
3.7m
Step-by-step explanation:
The set up will form of right angled triangle with;
the length of the wires (the hypotenuse) = 4m
The base of the tree from the wire (adjacent) = 1.5m
The height of the tree(opposite ) = x
According to pythagoras theorem;
hyp² = opp²+adj²
4² = x²+1.5²
16 = x²+2.25
x² = 16 - 2.25
x² = 13.75
x = √13.75
x = 3.708
Hence the tree is 3.7m high (to the nearest tenth)
2+2(-3)(7) is the answer negative?
Answers
Answer: -40 so therefore the answer is negative
Ms. Ford is buying bundles of virgin hair from She’s Happy Hair that costs $75 per bundle, but $42.50 for shipping. If Ms. Ford spent $567.50 total, how many bundles of virgin hair did she buy?
Answers
Answer: 7 bundles.
Step-by-step explanation:
The cost per bundle is $75.
The cost for shipping is $42.50
She spent $567.50 in total.
The shipping is paid only one time, as all the bundles can be packaged togheter.
Then after paying the shipping, the left spent is:
$567.50 - $42.50 = $525
And each bundle costs $75, then the number of bundles that she bought will be equal to the number of times that we have $75 in $525. This is equal to the quotient between $525 and $75.
N = $525/$75 = 7
She bought 7 bundles
PROBLEM: Four women (Linda, Lisa, Glenda, and Dee) are married to four men (Tom, Duane, Ron, and Ernie). From the clues, determine who is married to whom:
· Ernie is Glenda’s brother
· Tom and Duane are training for a marathon next month
· Glenda and Duane were once engaged, but “broke up” later
· Dee has two brothers, but her husband is an only child
· Linda’s husband broke his leg in a ski accident with Ernie and his wife
Who is married to whom?
Answers
Answer:
How about asking your math teacher for help, instead of going to the internet? As your math teacher, I think it would be a better idea than having your teacher find your internet post!
Step-by-step explanation:
I'll be waiting for an email.
Help!!
Predict what a student would score if they studied for 3.5 hours
Answers
Answer:
85
Step-by-step explanation:
If x = 14, which equation is true?
Answers
Answer:
Is there a picture you can give us? I will try to answer it once you do! :)
Evaluate |a + b - c|, given a = 5, b = -3, and c = -2.
Answers
Answer:
4 or |4| (Absolute value of 4)
First one to answer this gets brainlest:
What is 5 * 4 + (6 / [ 2 + 1 ] ) *11
Answers
Answer:
42
Step-by-step explanation:
5 * 4 + (6 / [ 2 + 1 ] ) *11
5 * 4 +2 * 11
20 +2 * 11
20+ 22
42
Answer:
Step-by-step explanation:
5 x 4 + 6/3 x 11
20 + 2 x 11
20 + 22
42
What is the value of x?
55
105
*
O A. 50°
O B. 55°
O C. 20°
O D. 160°
Answers
Answer:
A50
Step-by-step explanation:
all angles should add up to 180
Answer:
I'm pretty sure it's A.
please help me out...
Answers
Answer:
Comunitive
Step-by-step explanation:
Answer:
The answer is Distributive Property
Step by Step:
Your given equation is 7(w+6)+4
You are distributing 7 to w to get 7w, and 7 to 6, to get 42. The plus 4 stays the same because you don't have anything to distribute.
Addition, is obviously wrong, does 7 + 6 = 42? Multiplication is wrong. Sure you might be multiplying, but you are distributing to both numbers. And Commutative is DEFINITY wrong, because it has nothing to do with this situation
:D
Write the sentence as an inequality.
A number x is greater than -6
Answers
The sum of 28 consecutive odd positive integers is a perfect cube. Determine the smallest possible set? What is the first and last terms in the sequence. Plz helppp!
Answers
Answer:
71 + 73 + ..... + 125 = 2,744 = [tex]14^{3}[/tex].
Step-by-step explanation:
The smallest set starts at 71. The last term is 125.
The total is 2,744, which is [tex]14^{3}[/tex].
The smallest possible set is 71,73,75,....125. The first and last terms in the sequence is 71 and 125 respectively.
What is airthmatic sequence?Geometric sequence is the sequence in which the next term is obtained by adding or substracting the previous term with the same number for the whole series.
The sumation of airthmatic sequence is find out using the following formula.
[tex]S=\dfrac{n}{2}(a+l)[/tex]
Here, (a) is the first term of the sequence, (l) is the last term and (n) is the number of terms in sequence.
Let x is the first and the smallest term of the set. This set consists 28 consecutive odd positive integers. Thus, the sum of this set will be,
[tex]\sum=x+(x+2)+(x+4)+...+(x+54)\\\sum=28x+(2+4+6+....+54)\\\sum=28x+[\dfrac{27}{2}(2+54)]\\\sum=28x+756\\\sum=28(x+27)\\\sum=2\times2\times7(x+27)[/tex]
Now here 7 is prime number. The value of (x+27) should be perfect square of 7 and 2 to make it perfect cube. thus,
[tex]x+27=7^2\times2\\x=98-27\\x=71[/tex]
Put this value to find the sequence as,
[tex]71,71+2,71+4......,71+34\\71,73,75,.......125[/tex]
The first term in this set is 71 and last term is 125.
Hence, the smallest possible set is 71,73,75,....125. The first and last terms in the sequence is 71 and 125 respectively.
Learn more about the airthmatic sequence here;
https://brainly.com/question/6561461
Of the girls on the Alden Middle School soccer team, % also play on a travel team. How many of the girls on the middle school team also play on a travel team?
Answers
Answer:
The question is incomplete, so I looked for similar ones and found:
Of the 25 girls on the Alden Middle School soccer team, 40% also play on a travel team. How many of the girls on the middle school team also play on a travel team?
we can solve this the following way:
25 girls on the soccer team x 40% that play on a travel team = 10 girls form the soccer team that play on a travel team
we can also multiply (25 girls x 40) / 100 = 10 girls
we can check our work by:
10 girls / 40% = 25 girls in total
someone help me ASAP !
7. Solve x/2 +4=-2 *
12
0-12
-3
Answers
Answer:x=-12
Step-by-step explanation:
x/2+4=-2
Subtract 4 from each side
x/2=-6
Multiply each side by 2
x=-12
Answer:
X = -12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
What is the slip of the line?
Answers
Answer:
slope m = 2
Step-by-step explanation:
to find the slope you have to pick two points in the line
(x1,y1) = (2,1)
(x2,y2) = (3,3)
And the equation for slope is
m = (y2-y1)/(x2-x1)
m = (3 - 1) / (3-2) = 2
PLEASE HELP WILL GIVE BRAINLIEST
| -10 - (25) | Determine the value of the expression. My teacher said something about absolute value
Answers
Answer:
35
Step-by-step explanation:
|-10-(25)|=|-10-25|=|-35|=35
-10-25 would equal -35 but since you’re finding the absolute value it would change it to a positive 35:)
remember the absolute value is the distance of the number from zero on a number line, therefore it is always positive
PMO and LMN are vertical angles. The measure of PMO is (X + 7). The measure of LMN is 55
1. What is the value of x? kwrite a number only)
2. The measure of PMO IS (Write a number only.)
Answers
Answer:
x= 48 and PMO= 55
Step-by-step explanation:
PMO= LMO so 55= x+7
x+7=55
-7 -7
x=48
Pmo = x+7 so (48)+7 = 55