1.
The diagram below shows a composite shape formed by joining two rectangles.
4 cm
I
xcm
12 cm
(x + 2)cm
Diagram not drawn to scale
The area of the larger rectangle is 4 times the area of the smaller rectangle.
Calculate the dimensions of the smaller rectangle.
You must justify any decisions that you make.
Answers
9514 1404 393
Answer:
24 cm^2
Step-by-step explanation:
The larger rectangle has dimensions in cm of 12 by (4+x). The smaller rectangle has dimensions of (x+2) by x. The area of the larger is 4 times the smaller, so ...
12(4+x) = 4(x)(x+2)
3(4+x) = x(x+2) . . . . . . divide by 4
x^2 +2x -3x -12 = 0 . . . eliminate parentheses, subtract 3(4+x)
(x -4)(x +3) = 0 . . . . . . . factor
The positive solution is x = 4, so the area of the smaller rectangle is ...
x(x+2) = 4(4+2) = 24 . . . cm^2
Related Questions
Example: At a baseball game, Henry bought 3 hotdogs and a bag of chips for $14. Scott bought 2 hotdogs and a
bag of chips for $10. Each of the boys paid the same price for their hotdogs, and the same price for their chips. The
following system of equations can be used to represent the situation. Determine the best method to solve the system
of equations. Then solve the system.
Answers
Answer:
h = $4 a hotdog
c = $2 bag of chips
Step-by-step explanation:
3h + c = 14
2h + c = 10
3h + c = 14
-2h - c = -10
h = $4 a hotdog
2(4) + c = 10
8 + c = 10
c = $2 bag of chips
11x – 2y = 20 in slope intercept form
Answers
Answer:
[tex]y=\frac{11}{2}x-10[/tex]
Step-by-step explanation:
Answer: y= 11/2 x - 10
Step-by-step explanation: I think
25-g4 = 2- (29)4 252
2
= 2.
16
24
a=
b=
c=
Answers
Step-by-step explanation:
(2⁵ * 8⁴) / 16
= [2⁵ * (2³)⁴] / 16
= (2⁵ * 2¹²) / 2⁴
= 2¹⁷ / 2⁴
= 2¹³.
Hence a = 3, b = 12 and c = 13.
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee assstin
90×90×90×90
Answers
Answer:
65610000
Step-by-step explanation:
Answer:
65,610,000
Step-by-step explanation:
Every year, a teacher surveys his students about the number of hours a week they watch television. In 2002, his students watched an average of 12 hours of television per week. In 2012, the number of hours spent watching television decreased to five per week.
Answers
Answer:
58.3%
Step-by-step explanation:
Answer:
Answer:58.3%
Step-by-step explanation:
Solve for B -18r+18s=-4
Answers
Answer:
B=-4+18r-18s
Step-by-step explanation:
move all terms not containing B to the right side of the equation. Hope this helps.
Can anyone help me answer this?
Answers
Answer:
Vertex is (-1,1)
Y-intercept is (0,0)
Axis of symmetry is x= -1
A restaurant owner has found that 80% of her customers return to the restaurant within two weeks. She wants to create a tool that will simulate the habits of her customers and allow her to predict the probability that three of the next four customers to visit her restaurant will return within two weeks. Which spinner simulation uses an appropriate device and has the correct number of trials? a spinner divided into 5 congruent sectors, spun 3 times a spinner divided into 5 congruent sectors, spun 4 times a spinner divided into 2 congruent sectors, spun 3 times a spinner divided into 2 congruent sectors, spun 4 times
Answers
B. A spinner divided into 5 congruent sectors, spun 4 times
Have a good day
The correct answer is “a spinner divided into 5 congruent sectors, spun 4 times”
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, A restaurant owner has found that 80% of her customers return to the restaurant within two weeks. She wants to create a tool that will simulate the habits of her customers and allow her to predict the probability that three of the next four customers to visit her restaurant will return within two weeks.
The correct spinner to use among the 4 should have a probability of winning of 80%, similar to what the owner has found out. So, we must calculate the probability of each spinner.
1. Spun 3 times, and chance of winning is 1 in 5, therefore P = (3) (1/5) = 0.6 = 60%
2. Spun 4 times, and chance of winning is 1 in 5, therefore P = (4) (1/5) = 0.8 = 80%
3. Spun 3 times, and chance of winning is 1 in 2, therefore P = (3) (1/2) = 1.5 = 150%
4. Spun 4 times, and chance of winning is 1 in 2, therefore P = (4) (1/2) = 2 = 200%
We can see that there is only 1 choice that has 80% probability,
Hence, the correct answer is “a spinner divided into 5 congruent sectors, spun 4 times”
For more references on probability, click;
https://brainly.com/question/30034780
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60+40+39X+2=180
I need help
Answers
Answer:
102+39x=180
180-102=39x
78/39=x
the sum of a number times 4 and 29 is at least 26
Answers
Answer:
4 + 29 ≥ 26.
Step-by-step explanation:
I'm assuming you want me to make an inequality with this, so I will do that. Since sum means to add, we write this: 4 + 29. At least can translate to greater than or equal to, we can write that symbol as ≥. Now, let's write the whole inequality, we can write it as 4 + 29 ≥ 26.
Find the measure of the missing angle.
Answers
Answer:
Hi
U should do like this
90-51=39...
Answer: 39 degrees
Step-by-step explanation:
Right angle is 90 degrees so 51 plus a will equal 90
A is 39 degrees
Question 1
Review
Listen
Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10
years from his original purchase, it was worth $6000. Assuming the growth rate remains the
same, which type of function could he create to find the value of his investment 30 years from
his original purchase?
1.
exponential function
2.
linear function
3.
quadratic function
4.
trigonometric function
Submit Answer
Answers
Answer:
Exponential
Step-by-step explanation:
The seventh grade class is raising money to have a class trip at the end of the year. They began the year with $1500. They now have $1650 in the account. What is the percent of increase for the money the class has raised ?
Answers
Answer:
The percent of the increase for the money the class raised is 10 %
Step-by-step explanation:
Because if you divide 1500 by 10 you get 150 that means 150 is 10 % of 1500 and if you add 150 to 1500 you get 1650 so the increase of money the class raised is 10 %
I hope this helped :)
Graph each quadratic equation 2. y = x2 - 6x
Answers
Answer:
Vertex: (3,-9)
Domain:{ x|x∈R}
AOS: x=3
Step-by-step explanation:
PLEASE ANSWER
What is a ratio?
Answers
The quantitative and relatable relation between two amounts of goods or numbers shows the number of times one value contains or is contained within the other or one number/value with respect to the other number/value.
It is basically the relationship between two similar magnitudes with respect to the number of times the first contains the second.
Lets us understand this with the help of an example that the ratio of x to y can be written as
x: y x / yExample: the ratio of 1 to 2, written 1:2 or 1/2.
Know more about Ratio: https://brainly.com/question/12024093
Find the exact value of x using the pythagorean theorem.
Do the side lengths for a pythagorean triple?
Answers
Answer:
Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle. However, right triangles with non-integer sides do not form Pythagorean triples.
Step-by-step explanation:
Answer:
[tex]\huge\bold\purple{ hope \:it's \:help \:u }[/tex]
[tex] {17}^{2} = {8}^{2} + {x}^{2} \\ 289 = 64 + {x}^{2} \\ 289 - 64 = {x}^{2} \\ {x}^{2} = \sqrt{225} \\ x = 25(pythagorean \: tripet)[/tex]
please help me on this!
Answers
Answer:
9*572=5148
Step-by-step explanation:
in dallas, a tax of 11,400 is owed on a property tax whose value is 600,000. if tax rates are proportional in this city, find the tax property on whose value is 340,000
Answers
Answer:
6460Step-by-step explanation:
Use tax/property ratio:
11400/600000 = x/ 340000x = 340000*11400/600000x = 6460GIVING BRAINLEST FOR CORRECT ANSWER
(On select it says
"IS" or "Is Not")
Answers
Answer:
Is
Step-by-step explanation:
helpeleleeplpl3pel!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
im guessing D sorry if wrong
Answer: D
Step-by-step explanation:
Since the scale factor is 4:1, you need to divide each side by 4.
10 / 4 = 2.5
12 / 4 = 3
Also you can clearly rule out answer choices b and c because they just don’t make since since the object is smaller than the scale drawing.
Help with the whole thing please and thanks
Answers
1a. closest to 1
b. closest to 0
2a. closest to 1
b. closest to 1/2
Numb 3. Ain't clear.
4. Not sure.
5a. closer to 1
b.closer to 1/2
c. 3/4 - 5/12 = 1/3
6. 26/15
7. 7/18
8. 47/240
9. 191/225
10. 11/60
11. 81/200
please help meeeeeeee!!!!!
Answers
Step-by-step explanation:
Answer:
5,15
Step-by-step explanation:
For mixed fractions, mutiply the bottom and add the top Ex: 1x4=4 and 4+1=5 hence 1 1/4 being 5/4 and the second you just mulitply. 3X5=15 4X5=20 or 15/20.
34 (7)-7
Need helpppp
Answers
Answer:
231
Step-by-step explanation:
1. 2x + 5 = 9
2. 9 + 3x = 18
3. 2x - 16 54
4. 2(x + 1) = 8
5. 4m-316
(pls help me to answer this)
Answers
Answer:
1. 2
2. 3
3. 35
4. 3
5. m=79
2. 9 + 3(3) = 18
3. 2(35) - 16= 54
4. 2(3+ 1) = 8
5. Actually, number 5 doesn’t provide an answer to solve for.
Glad I could help and also, can you please mark my answer as the brainliest answer?
Thank you so much!
Jamar wants to rent a car for a trip. He calls the rental company to get prices. Cars rental charges $99 for one week plus $0.11 per mile what is the slope
Answers
Triangle DEF is dilated to create triangle DAB. What scale factor was used?
please hurry in less than 10 min
Answers
Answer:
Not sure how you would word it but the bigger triangle is 2 times larger than DEF.
Step-by-step explanation:
DE=4
AE=4
4+4=8
AD=8
Hope this helps!!
The scale factor used to create DAB from triangle DEF is 2.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The length of the base of the triangle DEF is 4 units and of DAB is 8 units.
The length of the height of DEF is 3 units and that of DAB is 6 units.
From this, we conclude that the scale factor is 2 as 8 is a multiple of 2×4 and 6 is a multiple of 2×3.
learn more about transformation here :
https://brainly.com/question/11709244
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Can somebody please answer this will mark brainliest if you hurry
Answers
Answer:
5.6
Step-by-step explanation:
Mrs. Sanchez gets 36 miles per gallon
Mr. White gets 30.4 miles per gallon (76 ÷ 2.5)
Oscar made 28 out of 35 field goals during football practice. Which proportion shows how to find the percent of field goals made?
Answers
Answer:
80 %
Step-by-step explanation:
Step one:
Given data
We are told that Oscar made 28 out of 35 field goals during football practice.
Required
The percentage accuracy
Step two:
% Accurracy= number of goals/number of practice*100
% Accurracy= 28/35*100
% Accurracy=0.8*100
% Accurracy= 80%
Hence the percentage that he made is 80 %
Answer:
It's 80
Step-by-step explanation:
the side length of the following right isosceles triangle is 10 cm. if the area of a equals the area of b, then what is the area of the circle which the sector aef is in?
Answers
New help needed dont be gross please.. :C
Answers
Answer:
19/15
Step-by-step explanation:
To solve this, we need to add 2/3 and 3/5, to do this, we need to find the LCM of 3 and 5, that is 15. We multiply 2/3 by 5/5 and 3/5 by 3/3. This gets us 10/15 + 9/15. When we add those together, we get 19/15.
Answer:
9/15+10/15
19/15
I hope this helps: