Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:
[tex]P=2(l+w)[/tex]
Perimeter of a rectangular paper is 22 inches.
[tex]2(l+w)=22[/tex]
[tex]l+w=\dfrac{22}{2}[/tex]
[tex]l=11-w[/tex] ...(i)
Area of a rectangle is:
[tex]A=lw[/tex]
Area of the rectangular paper is 28 square inches.
[tex]28=lw[/tex]
Using (i), we get
[tex]28=(11-w)w[/tex]
[tex]28=11w-w^2[/tex]
[tex]w^2-11w+28=0[/tex]
Splitting the middle term, we get
[tex]w^2-7w-4w+28=0[/tex]
[tex]w(w-7)-4(w-7)=0[/tex]
[tex](w-7)(w-4)=0[/tex]
Using zero product property, we get
[tex](w-7)=0\text{ and }(w-4)=0[/tex]
[tex]w=7\text{ and }w=4[/tex]
If [tex]w=7[/tex], then by using (i)
[tex]l=11-7[/tex]
[tex]l=4[/tex]
If [tex]w=4[/tex], then by using (i)
[tex]l=11-4[/tex]
[tex]l=7[/tex]
Therefore, the dimensions of the paper are either [tex]7\times 4[/tex] or [tex]4\times 7[/tex].
Plsssss help me illl appreciate it
Answer:
(2,2)
Step-by-step explanation:
-3 + 5 = 2
4 - 2 = 2
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Answer:
Hi, there your answer
Number 15: 16
Number16: 176
Number 17: 0
Number 18: 12
Number 19: -3
Number 20:-52
Number 21:{−9}
Number 22: {13}
Number 23:{1}
Number 24:{−90}
Number 25:{−2}
Number 26:{−2}
Number 27:{56}
Number 28:{9}
Number 29:{15}
Number 30: {−10}
Step-by-step explanation:
The answer are in bold I don't know if you are looking for the work or the answer???
Hope this helps :)
Photos shown below :)
Answer:
choose the second one
Step-by-step explanation:
Is 20 quarts greater, less than, or equal to 80 cups
Answer:
20 quarts is equal to 80 cups
Type the correct answer in the box.
Step-by-step explanation:
4 triangles bh/2=area
2 x 2/2 = 2
2 x 4triangles = 8 units
two rectangles bh=area
2 x 6 = 12
12 x 2rectangles = 24 units
last rectangle is bh
6 x 8 = 48 untis
24+48+8=80 units
Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?
Answer:
5 pencils per box
Step-by-step explanation:
what is two plus two
Answer:
4
Step-by-step explanation:
Dude, that's easy!
Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia
Wallace bought 4 gallons of milk last week because his family drinks a lot of milk. If
his family drinks 3 quarts of milk every day, how many days will it take for them to
finish all 4 gallons?
Help now please
Answer:
5 days
Step-by-step explanation:
There are 16 quarts in 4 gallons of milk, so if they drink 3 quarts every day just divide 16 by 3 which will give you 5.3 but rounding your answer is 5 days.
I hope this helps!!
How many seconds will it take for the penny to hit the ground?
Answer:
1 second
Step-by-step explanation:
[tex]-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1[/tex]
n - 6 > -4 or 2n - 9 < -13
Answer:
the answer is
N>2 or N<-2
Step-by-step explanation:
Answer:
This is the answer N>2 or N<-2
HELP Whatisthedifferencebetweenthe4.1%simpleinterestpaidon$2,750for4yearsandthe3.8% interest compounded annually on the same amount over the same period of time? Show your work.
Answer: Simple interest amount larger by $9.00
Step-by-step explanation:
Simple interest of 4.1% on $2,750 for 4 years:
Formula for simple interest is:
= Amount * (1 + rate * no. of periods)
= 2,750 * ( 1 + 4.1% * 4)
= 2,750 * 1.164
= $3,201
Compound interest of 3.8% on $2,750 for 4 years:
= Amount * (1 + rate) ^ no. of periods
= 2,750 * ( 1 + 3.8%)⁴
= $3,192
Difference:
= 3,201 - 3,192
= $9.00
If the second term of a geometric sequence is 4 and the third term is –12, find the
explicit formula.
an= 3•(4/3) n-1
an =-4/3•(-3)n-1
an=-3•(-4/3) n-1
an = 4/3 •(3)n-1
Answer:
[tex]\bold{a_n=-\frac43\cdot(-3)^{n-1}}[/tex]
Step-by-step explanation:
The formula of a geometric sequence: aₙ = a₁ rⁿ⁻¹
[tex]a_2=4\\a_3=-12\\r=\frac{a_{n+1}}{a_{n}}=\frac{-12}{4}=-3[/tex]
[tex]a_1=a_1\div r=4:(-3)=-\frac43\\\\a_n=-\frac43\cdot(-3)^{n-1}[/tex]
what is the answer to The value of y is directly proportional to the value of X. If y=55, when X=120, what is the value of y when X=60?
Answer:
27.5
Step-by-step explanation:
y = kx
55 = 120k
k = 55/120
y = 55/120 x 60
y = 55/2
y = 27.5
Wich expression makes equation true for all values of x.
Answer:
A
Step-by-step explanation:
there are 4 grams of fiber in 1/2 cup of oats how many grams of fiber are in 3 1/2
Answer:
28 grams
Step-by-step explanation:
In cup of oats, amount of fiber is = 4 grams
In 1 cup of oats amount of fiber is = = 8 grams
So, in or cups of oats, amount of fiber is = 28 grams
Answer:
28 grams of fiber
Step-by-step explanation:
4/0.5 = x/3.5
3.5/0.5 = 7
4 · 7 = 28
A square has an area of x square units. X is a whole number that is a perfect square. What set of numbers best describes the length of the side of the square?
Answer:
when the area is whole number it's length and width should be the set of whole number
The sum of three consecutive even numbers is 108. Write and evaluate an expression in terms of x to determine the smallest of the three numbers. Include parentheses in your expression.
Answer:
[tex]34[/tex]
Step-by-step explanation:
Let the first number be [tex]x[/tex]
The next number be [tex]2[/tex] more than the previous as it is an even number
The second number is [tex]x+2[/tex]
and the last number is [tex]x+4[/tex]
The sum of the numbers is [tex]108[/tex], so the expression will be
[tex]x+(x+2)+(x+4)=108[/tex]
[tex]\Rightarrow 3x+6=108[/tex]
[tex]\Rightarrow x=\dfrac{108-6}{3}[/tex]
[tex]\Rightarrow x=34[/tex]
The smallest of the three numbers is [tex]34[/tex].
PLZ HELP WILL GIVE BRAINLIEST.
Answer:
1/24 or 4.17%Step-by-step explanation:
Probability of chocolate ice cream = 1/4Probability of chocolate chips = 1/3Probability of waffle cone = 1/2Probability of chocolate ice cream in a waffle cone with chocolate chips:
1/4*1/3*1/2 = 1/24 or 4.17%Find the area of the regular hexagon if the radius of a circle inscribed in the hexagon is 10√3
meters.
Answer:
D. 600√3Step-by-step explanation:
Refer to your previous question:
https://brainly.com/question/22624022Radius of the inscribed circle is the apothem of the hexagon.
Apothem (a) and half of the side (s) make a 30-60-90 right triangle.
The ratio of the legs, as per property of 30-60-90 triangle:
s : a = 1 : √3 ⇒ s : 10√3 = 1 : √3 ⇒ s = 10Half the side is s = 10 units, then side of the hexagon is 20 units.
The area of the hexagon:
A = 1/2Pa, P- perimeter, a- apothem A = 1/2(6*20)*(10√3) = 600√3Correct choice is D
This distance between New York and DC is 226 miles. If you're looking at a map that has a scale of ½ inch equals 25 miles, how far apart would the two cities be on the map?
Answer:
4.52 inches
Step-by-step explanation:
Hope this help:) 5 star please:))))
Mr. Rodriguez had his students line up in order from shortest to tallest. Tia was exactly in the middle of all the students. Which measure of center would describe her height?
Answer:
Median
Step-by-step explanation:
The median value of a distribution is obtained by :
FIRSTLY : Arranging the data in order usually ascending order.
Then the 50th percentile of the data is determined , the value which falls in the 50th percentile is the median of the distribution. The 50th percentile is the exact mid value of the distribution.
This describes the exact same way Tia was chosen in the scenario described above. Hence the measure of the center described is the Median.
Helpp me find the answer ASAP!!! plss!!
2.) Whats the answer for EBD
4.) Whats the answer for PNS, NSR, and NPR
Answer:
Perpendicular
90 degrees
Step-by-step explanation:
When perpendicular lines intersect they form 4 right angles. Since these lines meet at 90-degree angles they must be perpendicular. Also, <ABC is directly across from <EBD, this means they are vertical angles. Vertical angles are congruent, so <EBD measures 90 degrees.
Find the value of x and each arc measure
Answer:
x = 11
m(arc)MN = 65
m(arc)NP = 115
m(arc)NQP = 245
Step-by-step explanation:
10x - 45 = 6x - 1
4x = 44
x = 11
m(arc)MN = 10x - 45 = 10(11) - 45 = 110 - 45 = 65
m(arc)NP = 180 - 65 = 115
m(arc)NQP = 360 - 115 = 245
Na atmosfera,a temperatura diminui cerca de1 grau a cada 200 m de afastamento da superficie terrestre.Se a temperatura na superficie e de +20c,qual sera a temperatura na atmosfera a uma altura de 10 km a] +30c b] +20c c] _20c d] _30c
Responder:
- 30 ° C
Explicação passo a passo:
Dado que :
A temperatura diminui 1 ° para cada 200 m afastados da superfície terrestre
Temperatura na superfície da terra = 20 ° C
Temperatura atmosférica a uma altura de 10 km de. Superfície Terrestre :
Queda de temperatura para uma altura de 10 km de distância;
10km = 10 * 1000 = 10.000 m
1 * (10000/200)
1 * 50
= 50 ° C
Portanto ;
Temperatura da superfície terrestre - 50 ° C
20 ° C - 50 ° C
= - 30 ° C
I have 20 min left pls help!!
Step-by-step explanation:
5: 24
6: 39.3
7: 89.22
8: 691.15
Answer: suck to be you
Step-by-step explanation:
please answer them and attach a picture explaining them! Thank you so so much! Please add this is for number 1 this is for number 2 and 3
m/1= 58° and m/2= 122°
1
2
3
4
What is m/3?
Enter your answer in the box.
Answer:
58 degrees.
Step-by-step explanation:
M<3 = M<1 (opposite angles).
Find the length of the hypotenuse of the right triangle.
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Answer: 34
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: C=34
Step-by-step explanation:
[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]
The Cheer Squad is raising money to pay for their trip to the State Finals. They already have $1200 and they are selling really big candy bars for $10 each
If they need at least $3000, how many candy bars do they need to sell? Write an inequality and solve it
Answer:
10c + 1200 ≥ 3000, c≥ 180
Step-by-step explanation:
We know that they need at least $3000; meaning, it may be $3000 or more. This leaves us with eliminating the bottom two choices.
We then look at the first two choices. If we were to subtract from 1200, we would not know the total income amount that has been gained. It would also eventually give us negative numbers. We cannot have a negative amount earned. Instead, we would use the 10c+1200 because this would allow us to visualize that it needs to be greater than or equal to 3000
One of the legs of a right triangle measures 7 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
about 7.6
Step-by-step explanation:
I got the measure of the hypotenuse to be about 7.6 because I did the Pythagorean theorem.
a^2+b^2=c^2
The value of a is the first leg (7cm), and the value of b is the second leg (3cm).
So, 7^2+3^2=58. Next, I found the square root of 58. The square root of 58 is 7.615773106. This value rounded to the nearest tenth is 7.6.
In conclusion, the measure of the hypotenuse rounded to the nearest tenth is about 7.6.