Given rectangle: 2 feet by 8 feet. Similar rectangle: Option A (4 feet by 16 feet).
Use the concept of the rectangle defined as:
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Given that,
Rectangle dimensions: 2 feet by 8 feet
And here are the options provided:
A) 4 feet by 16 feet
B) 6 feet by 12 feet
C) 12 feet by 32 feet
D) 22 feet by 28 feet
To determine if two rectangles are similar,
Compare their corresponding side lengths.
In this case,
A rectangle with dimensions 2 feet by 8 feet.
After simplifying it we can write 1:4
Let's check each option to see if it matches the similarity:
A) 4 feet by 16 feet:
The ratio of the corresponding side lengths is 2:8, which simplifies to 1:4. However, the given rectangle has side lengths of 4:16,
Which simplifies to 1:4 as well.
So, option A is similar to the given rectangle.
B) 6 feet by 12 feet:
The given rectangle has side lengths of 6:12,
Which simplifies to 1:2.
So, option B is not similar to the given rectangle.
C) 12 feet by 32 feet:
The given rectangle has side lengths of 12:32,
Which simplifies to 3:8.
So, option C is not similar to the given rectangle.
D) 22 feet by 28 feet:
The given rectangle has side lengths of 22:28,
Which simplifies to 11:14.
So, option D is not similar to the given rectangle.
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Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then they spent 1 hour and 13 minutes shopping for a dress for Brenna. Finally, they spent 1 hour and 2 minutes eating dinner at the food court. What time was it when Brenna and her mom finished eating dinner?
Brenna and her mom finished eating dinner at 7:28 PM
They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.
4:47 + 26 = 5:13 PM
They spent another 1 hour and 13 minutes shopping for a dress.
5:13 + 1 hr 13 min = 6:26 PM
Finally, they spent 1 hour and 2 minutes eating dinner at the food court.
6:26 + 1 hr 2 min = 7:28 PM
Hope this helps :)
The 25th percentile for waiting time in a doctor's office is 25 minutes. The 75th percentile is 40 minutes. The interquartile range (IQR) is
Group of answer choices
15 minutes.
14 minutes.
impossible to determine without knowing n.
13 minutes.
Answer:
15 minutes
Step-by-step explanation:
The IQR is the range between Q1 and Q3. The quartile that represents 25% is Q1 and 75% is Q3. So, to solve find the range between 75% and 25%. The range is the difference. Therefore, subtract 25 from 40 to get the final answer, 15 minutes.
15. (x - 3)
If f(x) = 2x2 – 5, find the following.
16.fly-2)
17. f(a+h)-f(a)
Answer:
16. f(y-2) = 2(y-2)²-5
= 2(y²-4y+4)-5
= 2y²-8y+8-5
= 2y²-8y+3
17. f(a+h)-f(a) = 2(a+h)²-5-(2a²-5)
= 2(a²+2ah+h²)-5-2a²+5
= 2a²+4ah+h²-2a²
= h²+4ah
what is the maximum number of students among whom 100 orange ,150 cirtrus, and 250 guavas can be equally distirbuted ? what is the share of each fruits for a student?
Answer:
Hello,
Step-by-step explanation:
HCF(100,150,250)=50*HCF(2,3,5)=50*1=50
Part of each fruits for a student:
2 oranges, 3 cirtrus and 5 guavas.
there are 40 marbles in an urn: 14 are green and 26 are yellow. you reach into the urn and randomly select 4 marbles without replacement. what is the probability that at least one of the marbles is green
Answer:
p=0,83641536
Step-by-step explanation:
Let's calculate the probability that all 4 marbles are yellow:
p=26/40*25/39*24/38*23/37 ( no replacement)
=0,1635846372688....
probability that at least one of the marbles is green= 1-p
=0,83641536...
how many bit strings of length 10 contain exactly six 1s?
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Answer:
210
Step-by-step explanation:
The number of combinations of 10 things taken 6 at a time is ...
10!/(6!(10-6)!) = 210
210 bit strings of length 10 will have 6 1-bits.
Using combination
[tex]\\ \sf\longmapsto {}^{10}C_6[/tex]
We know
[tex]\boxed{\sf {}^nC_r=\dfrac{n!}{r!(n-r)!}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{10!}{6!(10-6)!}[/tex]
[tex]\\ \sf\longmapsto \dfrac{10!}{6!(4!)}[/tex]
[tex]\\ \sf\longmapsto 210[/tex]
Look at the image for the question
Answer:
Does the answer help you?
Michigan and Michigan State play each other this Saturday in football. Based on data from ESPN, Michigan averages 38.1 points per game with a SD of 8.4 and average 424 yards gained per game with a SD of 72. The correlation between points scored and yards gained is 0.68. Thus:
Average points = 38.1, SD= 8.4
Average yards gained = 424, SD= 72, r = 0.68
Required:
a. Find the slope of the regression equation for predicting number of points scored based on average yards gained per game). Report your answer to 4 decimal places.
b. If Michigan gains 500 yards in the game against Michigan State, what is Michigan's predicted points scored? Round to the nearest whole number.
Answer:
200000
by 10009
Step-by-step explanation:
nbebsbsbsbbsbsbsbsbBz
If a drawing of a house is 12 inches tall and the scale ratio is 1 inch:6 feet, how tall is the house?
А
6 feet
B
18 feet
C
72 feet
D
82 feet
Answer:
72 ft
Step-by-step explanation:
We can use a ratio to solve
1 inch 12 inches
---------- = -----------
6 ft x ft
Using cross products
1 * x = 6*12
x = 72 ft
I'm having an issue with a perpendicular line equation
Answer:
Step-by-step explanation:
y = [tex]\frac{5}{6}[/tex] x - 12
m = [tex]\frac{5}{6}[/tex]
( - 1, 2 )
y - 2 = [tex]\frac{5}{6}[/tex] ( x - ( - 1 ))
Equation of the ║ line is y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{17}{6}[/tex]
Slope of the perpendicular line is ( - [tex]\frac{6}{5}[/tex] )
y - 2 = - [tex]\frac{6}{5}[/tex] ( x - ( - 1 ))
Equation of the ⊥ line is y = - [tex]\frac{6}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Write the sum using summation notation, assuming the suggested pattern continues. 6, -18, 54, -162, +… Is this sequence arithmetic or geometric? Explain your answer.
Answer:
Hello,
This sequence is geometric with a ratio of -3
the first term is 6
Step-by-step explanation:
[tex]u_1=6\\u_2=-18=6*(-3)=u_1*(-3)\\u_3=54=-18*(-3)=u_2*(-3)=u_1*(-3)^2\\u_4=-162=u_3*(-3)=u_1*(-3)^3\\\\...\\u_{n+1}=u_1*(-3)^n\\\\\displaystyle \sum\limits^\infty _{i=1}u_i = \lim_{n \to \infty} \sum\limits^n _{i=1}u_1*(-3)^{i-1}\\=6*\lim_{n \to \infty} \sum\limits^\infty _{i=1}(-3)^{i-1}\\=6*\frac{1-(-3)^n}{1-(-3)} \\=\dfrac{3}{2} *({1-(-3)^n)\\[/tex]
serie does not converge.
5 4. Cos^8A - singa^8A
Answer:[tex]z=a+bi=|z|(cos(θ)+isin(θ))tofindthtrigonometricform.√sin2(ga8A)+cos16(A)(cos(arctan(−1sin(ga8A)cos8(A)))+isin(arctan(−1sin(ga8A)cos8(A))))[/tex]
Step-by-step explanation:
Needs to be done using the Pythagorean Theorem
Answer:
11.3 ft high
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
4² + b² = 12²
16 + b² = 144
b² = √128
b = 11.3
(a + b + c)(a + b - c)
Answer:
[tex]a^{2} + 2ab + b^{2} - c^{2}[/tex]
Step-by-step explanation:
A B C
A a^2 ab -ac
B ab b^2 -bc
C ac bc -c^2
HELP HELP ASAP!!! ANYONE ANYONE
Answer:
Step-by-step explanation:
factor each total
27 = 3 x 3 x 3
18 = 3 x 3 x 2
45 = 3 x 3 x 5
The largest (and only) common factor is 3
however each factorization also contains the product 3 x 3 = 9
so the maximum each bag may have cost is $9 and if so, she sold 5 bags of sugar cookies.
another option would be that each bag cost $3 and she sold 15 bags of sugar cookies. However, the question asked for the maximum possible price.
HELP PLEASE WILL MARK BRAINLIEST
Answer:
C.
Step-by-step explanation:
since x=1 it should be -1 so C. is correct
what is the area of triangle JHK?
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Answer:
4.18 square units
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
where b is the length of the base, and h is the perpendicular distance from the base to the opposite vertex.
A = 1/2(2.2)(3.8) = 4.18 . . . square units
(2f-1)^2, please help, also tell me how to give you brainlyist, or what ever it’s called
9514 1404 393
Answer:
4f^2 -4f +1
Step-by-step explanation:
It can be useful to memorize the form of the square of a binomial:
(a +b)^2 = a^2 +2ab +b^2
Here, you have a=2f and b=-1. Then the square is ...
(2f)^2 +2(2f)(-1) +(-1)^2 = 4f^2 -4f +1
__
More generally, the distributive property applies.
(2f -1)^2 = (2f -1)(2f -1) = 2f(2f -1) -1(2f -1)
= (2f)(2f) +(2f)(-1) +(-1)(2f) +(-1)(-1) = 4f^2 -2f -2f +1 = 4f^2 -4f +1
The angle between a chord and a targent is equal to the angle in the alternate segment
that's the diagram above
if <BAD =19°
find <ACB
Answer:
19
Step-by-step explanation:
The angle between a chord and a targent is equal to the angle in the alternate segment
if <BAD =19°
<ACB=19
d is the same as k less than 372
(How can I write this as an equation)
I thought it would be d=k-372
Answer:
d = 372 -k
Step-by-step explanation:
is means equals
less than means subtract from
d = 372 -k
URGENT! 15 PNTS
Points T, R, and P, define _____
A. plane B
B. line e
C. line segment PR⎯⎯⎯⎯⎯⎯⎯
D. plane M
Answer:
Since points T, R, and P are all present on plane B, the answer is A.
Points T, R, and P define plane B
We have given that,
A. plane B
B. line e
C. line segment PR⎯⎯⎯⎯⎯⎯⎯
D. plane M
We have to determine the Points T, R, and P, define
What is the plane?A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. The generalization of the plane to higher dimensions is called a hyperplane. The angle between two intersecting planes is known as the dihedral angle.
Since points T, R, and P are all present on plane B, the answer is A
Points T, R, and P define plane B.
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Find the equation of the line passing through the point (-7,2)(−7,2) that is perpendicular to the line 4x - 3y = 104x−3y=10.
Answer:
Step-by-step explanation:
Slope of the given line: m=4/3
Slope of the perpendiclar : m'=-3/4 (the inverse of the opposed of m)
Equation of the perpendiclar line: (passing through (-7,2))
[tex]y-2=(x+7)*\dfrac{-3}{4} \ or\\\\ y=-\dfrac{3x}{4} -\dfrac{13}{4}[/tex]
If the largest of 89 consecutive integers is 324, what is the smallest?
Answer:
Step-by-step explanation:
If the larger of 2 consecutive integers is 324, then 324-(2-1) = 323 is the smaller.
If the largest of 89 consecutive integers is 324, then 324 - (89-1) = 236 is the smallest.
Hence, the smallest consecutive integer is [tex]237[/tex].
What is the smallest consecutive integer?
Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Here given that,
The largest of [tex]89[/tex] consecutive integers is [tex]324[/tex]
So, it is of the form
[tex]324-89=237[/tex]
Hence, the smallest consecutive integer is [tex]237[/tex].
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453,193 what is the value of the 5
Answer:
50,000
Step-by-step explanation:
3 is in the ones place so 3
9 is in the tens place (90)
1 is in the hundreds place (100)
3is in the thousands place (3,000
Find the distance between the pair of points.
(-6/11, -3)
and (-6/11, 2/3)
The distance between the pair of points is
Type an integer or a simplified fraction.)
Answer:
3 2/3
Step-by-step explanation:
The x value is the same for both points. So we're only trying to figure out the difference in the y values. One y value is three steps down from zero and one y value is 2/3 of a step up from zero. So the total vertical distance between the two points is 3 and 2/3.
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
c. y + 3 = f(x)
d. y - 3 = f(x)
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Answer:
b. y = f(x -3)
Step-by-step explanation:
The translation right h and up k units is ...
y -k = f(x -h)
Here, the red graph is translated right 3 and up 0, so the translated function is ...
y = f(x -3)
_____
Additional comment
You can check this if you like by listing a couple of corresponding points:
y = f(x)
1 = f(-3) . . . . left-most point on black graph.
The corresponding point on the red graph is (0, 1). Putting this into the equation (b), we get ...
1 = f(0 -3) = f(-3) . . . . . correct value for f(-3)
Type an equation for the
following pattern.
X
Y
1
5
N
2
3
-1
y=[? ]x+[ ]
4
Answer:
Does the answer help you?
please mark this question as brainliest answer.Cause it take a few mins to solve your question.Tq
Mr. Green just spent $11.95 on a
haircut. About how much should he
leave for a 15% tip?
1) you find the multiplier by dividing 15÷100=0.15
2) multiply the answer by 11.95 so 0.15x11.95=1.792 so the answer is $1.792 because it is 15% of $11.95
Answer:
13.74
Step-by-step explanation:
To determine the tip, take the total amount and multiply by the tip percentage
11.95 * .15
1.7925
Round to the nearest cent
1.79
Add this to the cost of the haircut
11.95+1.79
13.74
Find the coordinates of the vertices of the figure after the given transformation: T<0,7>
A. X′(1,−1),L′(0,2),W′(2,1)
B. X′(−4,2),L′(−5,5),W′(−3,4)
C. X′(3,2),L′(2,5),W′(4,4)
D. X′(0,−3),L′(−1,0),W′(1,−1)
Answer: B
Step-by-step explanation:
Why did historians choose to study this topic?
X>70
y<45
What is the smallest whole number value of x - y?
Answer:
27
Step-by-step explanation:
x-y
We are subtracting and we want the smallest number
We want the smallest number for x and the largest number for y
The smallest number for x is 71
The largest number for y is 44
71-44
27
