10POINTS !!
the sum of the length of a side of two squares is 18cm and the sum of their areas is 212 cm^2. find the length of a side of the smaller square
Answers
Step-by-step explanation:
lengtha + b = 18cm
a = 18 - b
Areaa² + b² = 212cm²
(18-b)² + b² = 212
324 - 36b + b² + b² = 212
2b² - 36b + 112 = 0
b² - 18b + 56 = 0
b² - 4b - 14b + 56 = 0
b(b-4) -14(b - 4) = 0
(b-4) (b-14) = 0
b-4 = 0 OR. b-14 = 0
b = 4 cm b = 14 cm
so 4cm < 14cm
so , length of a side of the smaller square is 4cm .......
And , large square's = 14cm .....
Answer:
square one sides = 14, 14
square 2 sides = 4, 4
14 + 4 = 18
14 x 14 + 4 x 4 = 212
Step-by-step explanation:
14 x 14 + 4 x 4
this is the area of the 2 being added
the sides lengths are 14 and 4
Related Questions
PLEASE HELP ME ASAP!!!! PLEASE!!!
Answers
1) [tex]\overline{UT}[/tex]
2) [tex]\overline{UT} \cong \overline{UT}[/tex]
3) [tex]\overline{BT} \cong \overline{EU}[/tex]
4) [tex]\overline{BU} \cong \overline{ET}[/tex]
5) [tex]\triangle UBT \cong \triangle TEU[/tex] by SSS
6) CPCTC
PLEASE I REALLY NEED THIS RN!!! PLEASE HELP ME!!!
Answers
1) [tex]\overline{UP}[/tex]
2) [tex]\overline{UP} \cong \overline{UP}[/tex]
3) [tex]\overline{UR}[/tex]
4) [tex]\overline{PR}[/tex]
5) [tex]\triangle OUP \cong \triangle RUP[/tex] by SSS
6) CPCTC
Answer:
Medunno got the first pic, now i help with the second pic.
Step-by-step explanation:
Draw segment PU (don't forget the line above)
PU ≅ PU reflexive property
UO≅ UR given
PO≅ PR given
△OUP ≅ △RUP by SSS congruence postulate
∠O ≅ ∠R corresponding parts of congruent triangles are congruent.
Marita spent $13.0 at the grocery store. She bought pears, kiwis and pineaples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each. how many of each kind of fruit did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears?
Answers
Answer:
◘ 12 pears
◘ 3 pineapples
◘ 10 kiwis
Step-by-step explanation:
Let [tex]x[/tex] be the number of pears bought.
Therefore:
• number of pears = [tex]x[/tex]
• number of pineapples = [tex]x - 9[/tex]
• number of kiwis = [tex]x - 2[/tex]
We know that the total cost was $13.50.
This means if she bought [tex]x[/tex] pears at $0.50 each, [tex](x - 9)[/tex] pineapples at $1.50 each, and [tex](x -2)[/tex] kiwis at $0.30 each, the total would be $13.50.
∴ [tex][x \times 0.50] + [(x-9) \times 1.5] + [(x-2) \times 0.3] = 13.50[/tex]
Expanding and multiplying:
⇒ [tex]0.5 x + 1.5x - 13.5 + 0.3x - 0.6 = 13.5[/tex]
Collect like terms:
⇒ [tex]2.3x -14.1 = 13.5[/tex]
Solve for [tex]x[/tex]:
⇒ [tex]2.3x = 13.5 + 14.1[/tex]
⇒ [tex]2.3 x = 27.6[/tex]
⇒ [tex]x = 27.6 \div 2.3[/tex]
⇒ [tex]x = \bf 12[/tex]
Therefore, she bought:
• 12 pears
• [tex]x - 9[/tex] = 12 - 9 = 3 pineapples
• [tex]x - 2[/tex] = 12 - 2 = 10 kiwis
Marita bought 12 pears, 3 pineapples and 10 kiwis.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Let x the number of pears bought,
y the number of pineapples bought,
z the number of kiwis bought,
Given that, Marita bought 9 more pears than pineapples and 2 fewer kiwis than pears,
y + 9 = x
y = x -9 and
z + 2 = x
z = x - 2
We know that the total cost was $13.50.
This means if she bought pears at $0.50 each, pineapples at $1.50 each, and kiwis at $0.30 each, the total would be $13.50.
∴ 0.50x + 1.50y+ 0.30z = 13.50
Substitute the values of y and z in equation,
⇒ 0.50x + 1.50(x -9)+ 0.30(x - 2) = 13.50
Expanding and multiplying terms in equation,
⇒ 0.50x + 1.50x -13.50+ 0.30x - 0.60 = 13.50
Rearrange the like terms and apply the arithmetic operation
⇒ 2.3x - 14.1 = 13.50
⇒ 2.3x = 13.50 + 14.1
⇒ 2.3x = 27.6
⇒ x = 27.6/2.3
⇒ x = 12
Therefore, the number of pears bought = 12
So, the number of pineapples bought = 12 - 9 = 3
And the number of kiwis bought = = 12 - 2 = 10
Hence, Marita bought 12 pears, 3 pineapples and 10 kiwis.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ5
which symbol will make the number sentence |-12|?12 true
A =
B with a line going through it
C<
d>
Answers
Answer:
A
Step-by-step explanation:
|-12| = 12
distance from 0 to -12 is 12
and 12 = 12
When you have an absolute value, the number will always be positive. So, |-12| = 12
Which of the following is a line segment as shown in the drawing?
Answers
Answers:
- DH is correct because a line is connecting the two points D and H as shown in the image, forming a line segment.
- ED is correct because a line is connecting the two points D and E, forming another line segment, as shown in the drawing.
- EH is incorrect because in the drawing shown, there is no line connecting the two points E and H, so there would be no line segment formed between these two points.
- CD is correct because there is another line connecting the two points C and D, forming another line segment in the drawing.
Therefore, lines DH, ED, and CD are all line segments.
What is the difference between dilations and dilatations?
Answers
Dilations is the size of things
Dilitation is the size of things
HELP PLS
Figure AAA is a scale image of figure BBB.
Figure AAA maps to figure BBB with a scale factor of \dfrac{2}{3}
3
2
start fraction, 2, divided by, 3, end fraction.
What is the value of xxx?
Answers
2 to 3
10.5 to x
2/3 = 10.5 / x
2x = 31.5
x = 15.75
Check
2/3 = 0.667
10.5/15.75 = 0.667
Crossmultiply
31.5=2x
x=15.75
How many significant digits are there in the number obtained by dividing 10.24 by 16 using significant digits?
A. 1
B. 2
C. 3
D. 4
Answers
[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
Given:▪ [tex]\longrightarrow \sf{10.24}[/tex]
▪ [tex]\longrightarrow \sf{16}[/tex]
We start by obtaining it:
[tex]\longrightarrow \sf{\dfrac{10.24}{16} = 0.64}[/tex]
Therefore, we are asked how many significant figures 0.64 has. The answer is 2. In this case, the significant digits are 6 & 4.
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex]\large \bm{B. \: 2}[/tex]
PLEASE HELP!!!!
Is Figure B a scale copy of Figure A?
Answers
Answer: (A) Yes
Step-by-step explanation:
Let us look at the side lengths. When we are talking about scale copies, the lengths should stay proportionate from the original shape to the copy.
Both of the figures are triangles. I will be looking at the length of their legs. Figure A has leg lengths of 4 and 3. Figure B has leg lengths of 8 and 6, respectively.
This means Figure B is a scale copy of Figure A because 8/4=2 and 6/3=2. These mean the proportions stayed similar.
Thanom has a roll of paper consisting of a very long sheet of thin paper tightly rolled around a cylindrical tube, forming the shape indicated in the diagram.
Initially, the diameter of the roll is 12cm and the diameter of the tube is 4cm.
After Thanom uses half of the paper, the diameter of the remaining roll is closest to
Answers
Answer:
8 if including the tube and 4 if just counting the roll of toilet paper itself.
Step-by-step explanation:
Well like the question says the diameter of the toilet paper is 12 cm full both including the toilet paper and the tube. But we are also told the tube has a Diameter of 4. Taking this into consideration we both know that the tube will never get smaller but we do know the roll will decrease in size by half so while keeping the diameter of the tube at 4 we evenly remove half of the other 2 and we are left with a diameter of 2 / 4 / 2 in which giving us a total diameter of 8 therefore the diameter now being 8. (pls let me know if im wrong though i doubt i am)
in a survey of 3,100 people who owned a certain type of car, 2,015 said they would buy that type of car again. What percent of people of the people surveyed were satisfied with the car?
Answers
The percent of people of the people surveyed were satisfied with the car is the percent of people of the people would buy that type of car again, so we have: 2015 ÷ 3100 × 100% = 65%
ANSWER: 65%
Ok done. Thank to me :3
Answer:
2015 / 3100%= 65%
Step-by-step explanation:
You could never tell how many people there are in this world. So that is why the 3100 should have a percentage which is divided by 2015, equals 65%.
Standard six-sided dice have their dots arranged so that the opposite faces add up to 7.
If 27 standard dice are arranged in a 3×3×3 cube on a solid table what is the maximum number of dots that can be seen from one position?
Answers
Answer: 153
Step-by-step explanation:
The maximum number of dots that can be seen from one position is 153 dots.
Pls assistance
What is X?
x =x=x, equals
^\circ
∘
Answers
Answer:
x = 60°
Step-by-step explanation:
A straight angle is bascially a line with a point marked in it. That is 180°. Supplementary angles add up to 180°. Like the two right angles on the top part of the image are supplementary, as well as the two angles on the bottom part of the image.
120° + x = 180°
x = 60°
Explanation:
PLEASE HURRY!!!!! Which statement describes the situation shown in the graph?
Answers
Answer:
Sales increase with a decrease in the price.
Step-by-step explanation:
help i forgot how to do this and this is one of the last questions on my summer homework
Answers
Answer:
162°
Step-by-step explanation:
They are on a straight line so add to 180
8x + 10 + 2x - 20 = 180
10x - 10 = 180
10x = 190
x = 19
We want AXB so 8x + 10 where x = 19
8(19) + 10 = 162 so it is 162°
Answer:
162 degrees
Step-by-step explanation:
These two angles add up to 180.
8x + 10 + 2x - 20 =180 Next combine the x terms and the constant terms
10x -10 = 180 Next Add 10 to both sides
10x = 190 D Next divide both sides by 10
x = 19. Now that we know x, we can solve for <AXB
8x + 10
8(19) + 10
152 + 10 = 162
Please Helpppp!!!!! I Have no clue I forgot how to find the slope.
Answers
Explanation: the difference between -14 and -10 is 4 and in fractions x/y. so we have 4/y. the difference between -18 and -12 is 6 so we have 4/6 but we can simplify that to 2/3.
Use a table to identify three equivalent ratios of 2/5.
Answers
Answer: The simplest form of ratio 6:15=2×3:5×3=2:5
Step-by-step explanation: So, 2:5 is equivalent to 6:15.
Part 2: Organize Your Data
Create a table of values using the age and number of U.S. states named in 60 seconds.
A graph is provided with the first five points plotted. Use your table to add your five data points to the scatter plot.
You may create a new graph from scratch, containing all 10 points, print the sample graph and add your data, or save the sample as an image and use a drawing program to add your data to the image. If you choose to print and draw by hand, you need to be able to scan and upload your work at the end of the project.
A coordinate plane is shown. The x axis is labeled age in years and the y axis is labeled number of U.S. States named in 60 seconds. Five data points are already plotted on the graph. These points are located at 5 comma 7, 15 comma 42, 25 comma 49, 35 comma 35, and 65 comma 50.
Draw a line of best fit through your scatter plot. Draw by hand on your printed graph or use a drawing program on your computer to create the line.
Part 3: Drawing Conclusions
How did you decide where to place your line of best fit? Describe your reasoning.
Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.
Answers
So I don’t know the other 5 points because you didn’t give the data about the age and number of US states named in 60 seconds, but using the 5coordinate points you gave, I was able to make this line of best fit.
So basically the units are counting up by 5.
The x axis is age in years and y axis is the number of US states named in 60 seconds.
Since you didn’t give me the data to make the other 5 points, I can’t really answer the last question, but from the graph that I did make, there are no points that would be considered outliers, and there are no clusters in sight.
(BTW THIS IS IMPORTANT!! - when you use the data to add the other 5 points, there might be an outlier or more then one outlier. And there might be a cluster. Just look at it after you graph the last 5 and change the answer I gave you if there is an outlier or cluster)
GRAPH IS HERE:
A hydrogen atom has one positively charged proton and one negatively charged electron.
Write an addition equation to represent how their charges combine to make the overall charge of the atom.
Do not use spaces in your equation.
Answers
Answer:
i don't know the answer yet , I'm quite not sure
Q1 Write the number in expanded form for the significant digits ( as fractions)
117.000
20.018
13.265
3.4000
0.8100
Q2 - Write the difference in place value of the underlined digits
ex . 12.352 - 2 in the ones place is 1000x bigger than the 2 in the thousandths place
1568.156 ( both of the 5s are underlined)
03.3000 ( both of the 3s are underlined)
5164.66 ( both of the 6s are underlined
9.09 ( the 9s r underlined)
Answers
To write in expanded form is to simply mean writing each number into its place value.
PLEASE PLEASE PLEASE HELP ME ASAP!!!
Answers
2 UT≈UT
3 BT≈EU
4 BU≈ET
The table completing the proof is:
Statements Reasons
Draw segments UT Construction.
[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex] This is reflexive property.
[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex] Given
[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex] Given
ΔUBT ≅ ΔUET SAS congruency
∠B ≅ ∠E Proof
We have,
From the figure,
Step 1:
Draw segments UT.
Construction.
Step 2:
UT ≅ UT
This is reflexive property.
Step 3:
BT ≅ EU
Given
Step 4:
BU ≅ ET
Given
Step 5:
ΔUBT ≅ ΔUET
This is due to SAS.
Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
Step 6:
∠B ≅ ∠E
Thus,
Statements Reasons
Draw segments UT Construction.
[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex] This is reflexive property.
[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex] Given
[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex] Given
ΔUBT ≅ ΔUET SAS congruency
∠B ≅ ∠E Proof
Learn more about triangle congruency here:
https://brainly.com/question/12413243
#SPJ7
PLEASE HELP ME!!! I NEED THIS ASAP!!!!!
Answers
Answer:
It is proved because line segment AC and line segment BD are parallel.
Step-by-step explanation:
I am also trying my best. Please let me know if it’s wrong or you need more help. Have a great day!
PLEASE HELP BEST U CAN
What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54?
Answers
Answer:
the answer is d
Step-by-step explanation:
It is d because there is no relatinship between the angles. They are not supplementary nor complementary angles. And of course they are not vertical angles because they are not congruent angles.
HEEEELLLLLLLPPPPPPPP
The hexagon PQRSTU is plotted on a coordinate plane with vertices P(–1, 0), Q(–1, 3), R(1, 4), S(2, 5), T(4, 4), and U(4, 0). What is the hexagon's perimeter?
15.8 units
14.4 units
17.8 units
12.0 units
Answers
Sara has 845 beads to put on the bracelets she is making. It takes 13 beads to make each bracelet. How many bracelets can Sara make?
Answers
Answer:
65
Step-by-step explanation:
845 beads divided by 13 beads is 65. You can make 65 bracelets.
please explain your answer :)
and don’t answer if you won’t provide an explanation please :”D
Question: Explain why 200 people with email addresses may not be a random sample. When might it be a random sample?
Answers
Answer:
Explained Below
Step-by-step explanation:
200 people with those email addys might be people you know. While collecting addys randomly is a random sample.
its straight forward
Please Helpppp meeeeee! I really need it!!!
Answers
You divide original by dilated to get the scale factor!
Hope this helps
Solve for x.
Your answer must be simplified.
x+5≤−4
Answers
Answer:
x ≤ -9
Step-by-step explanation:
to solve this equation you must subtract 5 from both sides
you get
x ≤ -9
that is your answer
answer : x<-9
Manu borrowed Rupees 8500 at the rate of 5% interest per annum for 150 days. Find the interest and amount he paid
Answers
Answer:
See below
Step-by-step explanation:
5% interest = .05 :
8500 x .05 x 150days /365 days/year = R 174 .66 = interest......
then amount to be paid = 8500+ 174.66 = R 8674.66
Write an Algebraic expression and simplify it if possible:
200% of y
