The right rectangular prisms are similar. The bigger prism has a length of 2.2, width of .8, and height of 3.2. The smaller prism has a length of 1.1, width of .4, and height of 1.6.
Which statements are correct? Check all that apply.
- The angles in the smaller prism measure 90 degrees.
- The perimeter of the rectangular bases changes by a factor of 2.
- The surface area changes by a factor of 8.
- The larger prism has twice the volume of the smaller prism.
- The area of the rectangular bases changes by a factor of 4.
Answers
Answer:
The angles in the smaller prism measure 90 degrees.
The perimeter of the rectangular bases changes by a factor of 2.
The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
Two polygons are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.
A) Since the two prism are similar, therefore they are to have the same angle measure. The bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
Hence, The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
C) Surface area of bigger prism = 2(2.2*0.8 + 3.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.1*0.4 + 1.6*0.4 + 1.6*1.1) = 5.68
22.72 / 5.68 ≠ 8, hence the surface area does not change by a factor of 8
Option C is wrong
D) Volume of bigger prism = 3.2 * 2.2 * 0.8 = 5.632
Volume of smaller prism = 0.4 * 1.6 * 1.1 = 0.704
The volume of larger prism is not twice of the smaller prism (5.732 / 0.704 ≠ 2)
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
Since 1.76 / 0.44 = 4; The area of the rectangular bases changes by a factor of 4
Related Questions
In a cookie jar containing 6
6
chocolate
chip cookies, 8
8
wafer cookies and 10
10
double chocolate cookies, what is the
probability that a person who isn't looking
when they get a cookie will get a chocolate
chip cookie?
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A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1, −7).
What are the vertices of r(90°, O) (WXYZ)?
Answers
Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answers
Answer:
6/7
Step-by-step explanation:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person 2/3 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Answers
Answer:
5 hrs 19.57 Minutes will be taken to prepare 1575 Bags by Ashley & her 4 friends if Ashley take 2/3 minute to prepare a bag & her each friend takes 75% Longer
Step-by-step explanation:
Ashley Takes 2/3 minute to prepare a bag
=> ashley prepare bag in 1 minute = 3/2
Her friends takes 75% Longer to prepare a bag
time taken by her friends = 2/3 + (75/100)(2/3)
= (2/3)( 1 + 3/4)
= (2/3)(7/4)
= 7/6 Minutes
Her one friend prepare bag in 1 minute = 6/7
Bag prepared by Ashley & her 4 friend in 1 Minute
= 3/2 + 4*6/7
= (21 + 48)/14
= 69/14 Bag
69/14 Bag prepared in 1 minute
1 Bag prepared in 14/69 minutes
1575 bags prepared in 1575 * 14/69
= 319.57 minutes
= 5 hrs 19.57 Minutes
without using calculator or table find the value of sin 15°
Answers
Answer:
.25881
Step-by-step explanation:
sin15
=sin(45-30)
=sin45.cos30-cos45.sin30
=(0.707×0.86)-(0.707×0.5)
=(0.6082)-(0.3535)
=0.25
The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, and interquartile range of the data
Answers
The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.
In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.
Answer:
Kindly check explanation
Step-by-step explanation:
Firstly, we need to write out values if the dataset :
Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.
For the stem plot attached :
Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The mean :
Σx / n
n = sample size = 10
= 225 / 10
= 22.5
Arranging data on ascending order :
08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The median :
1/2(n+1)th term
1/2(11)th term = 5.5 th term = (5+6)th term / 2
Median = (19+22)/2 = 20.5
Mode = all dataset (since they all occur once).
Range = (maximum - minimum) = 40 - 8 = 32
Interquartile range : (Q3 - Q1)
Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term
Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33
Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term
Q1 = (12+17)/2 = 14.5
Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5
Answer:
Median: 11
Mode: 3
Range: 30
Step-by-step explanation:
Just took the test :D
An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much water is needed for this tank? Round your answer to the nearest tenth if necessary. .
Answers
Answer:
[tex]V=45396.2\ cm^3[/tex]
Step-by-step explanation:
Given that,
The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.
The tank is filled to 80% capacity with water.
We need to find the water needed for this tank.
The volume of cuboid is given by :
[tex]V=lbh[/tex]
As it is filled to 80% capacity, so,
[tex]V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3[/tex]
So, [tex]45396.2\ cm^3[/tex] of water is needed for this tank.
Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?
A.
2 feet
B.
4 feet
C.
3 feet
D.
2.5 feet
E.
3.5 feet
Answers
Answer:
A: 2 Feet
Step-by-step explanation:
Got it right
x is 6 or less and more than – 5
A: – 5 <
x
≤ 6 B: – 5 >
x
≤ 6 C: – 5 ≤
x
≤ 6 D: – 5 <
x
< 6 E: – 5 ≤
x
< 6
Answers
Answer:
A
Step-by-step explanation:
X is 6 or less so we can start there x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.
The expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.
For the given situation,
The statement of inequality is x is 6 or less and more than – 5
The inequality for x is 6 or less ,
⇒ [tex]x\leq 6[/tex]
The inequality for x is more than – 5
⇒ [tex]x > -5[/tex]
Thus x is 6 or less and more than – 5 can be written as inequality,
⇒ [tex]-5 < x\leq 6[/tex]
Hence we can conclude that the expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.
Learn more about inequalities here
https://brainly.com/question/20383699
#SPJ2
The sum of the interior angles of a regular 16-gon is
Answers
Answer:
The answer should be 2520
which rule would you use to test this parallelogram
Answers
Answer:
Opposite sides are congruent
Step-by-step explanation:
you can create equations -18 + 7x = 3x + 14 and 13y = 9 + 10y to solve for x and y to find the length of each side and whether they(the two pairs of opposite sides) are congruent or not
I will mark you brainlist!
Jason agreed to make 12 payments of $38.50 to buy a new T.V. SO far he has made 8 payment. How much more money does he owe?
Answers
$38.50x8=308 …
so 462-308=154
meaning he owes $154
In how many orders can six people line up from left to right for a group photo?
Answers
Answer:
720 possible orders
Step-by-step explanation:
To order 6 people in a line, let's imagine them as 6 possible spaces:
( )( )( )( )( )( )
Going from left to right, let's start with space 1.
There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.
(6)( )( )( )( )( )
Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:
(6)(5)( )( )( )( )
Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.
(6)(5)(4)(3)(2)(1)
This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.
Multiply them together and we have:
6x5x4x3x2x1 = 720 possible orders.
Hope this helped!
Answer:
We have to arrange 6 people in line
. Now, the number of ways to arrange n items = n!.
Hence, the answer is 6!=
=6×5×4×3×2×1= 720 orders
Find the equation of the line which passes through (-2,-2) and (2,-4).
Answers
Equation of a line is given by
m (x - x¹) = (y - y¹)
where m is the gradient [tex]m \: = ( {y}^{2} - {y}^{1} ) \: \div ({x}^{2} - {x}^{1} )[/tex]where (x¹ , y¹ ) and (x² , y²)
(-2,-2 ) and (2 , -4)
m = ( -4 - (-1) ) ÷ ( 2 - (-2) ) m = ( -4 + 1 ) ÷ ( 2 + 2 )m = ( -3 ) ÷ ( 4 )[tex]m \: = - \frac{3}{4} [/tex]but equation of a line is given by
m (x - x¹) = ( y - y¹)
[tex] - \frac{3}{4} (x - ( - 2)) \: = \: (y \: - ( - 2))[/tex][tex] - \frac{3}{4} (x + 2) \: = \: (y \: + \: 2)[/tex]expanding the bracket[tex] - \frac{3}{4} x \: - \: \frac{3}{2} \: = y \: + \: 2[/tex][tex]y \: = \: - \frac{3}{4} x \: - \: \frac{3}{2} \: - \: 2 \\ \\ y \: = - \frac{3}{4} x \: - \: \frac{7}{2} \\ \\ {y} \: = \frac{ - 3x \: - \: 14}{4} [/tex][tex]multiply \: by \: 4[/tex][tex]4 \: \times \: y \: = 4 \: \times \: \frac{ - 3x \: - 14}{4} [/tex][tex]4y \: = \: - 3x \: - \: 14[/tex]Equation of the line is 4y = -3x - 14This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last year’s price. What was the old selling price?
Answers
subtract 359 minus 53.85 and you get 305.15
A farm sells peaches in boxes . Using the table , how many peaches will be in 12 boxes ? Please help
Answers
Explanation:
Number of boxes times 12 will give u number of peaches.
Hope this helps and can u plz mark brainliest,if u can?
What is the answer ??
Answers
Answer:
23 yards
Step-by-step explanation:
Please help ASAP!!!!Determine the total number of outcomes.
Picking a card from a standard deck then rolling a standard die.
A. 312
B. 58
C. 2
D. 46
Answers
Answer:
I believe it would be A
Step-by-step explanation:
A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B
The area of a rectangular park is 300 sq.M. If the length of the park is 25 m, find the breadth. *
Answers
Answer:
Breadth = 12 m
Step-by-step explanation:
Area of a rectangle is given by the formula,
Area = Length × Width
Value of area and length of the rectangular park has been given in this question.
Therefore, by substituting these values in the formula,
300 = 25 × Width
Width = [tex]\frac{300}{25}[/tex]
= 12 m
Therefore, width or breadth of the rectangular park will be 12 m.
Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.
Give your ratio in its simplest form.
Answers
Answer:
1,260:280
or
1,260 to 280
or
1,260/280 Simplified → 4 1/2
Step-by-step explanation:
Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.
which of the following are solutions to the inequality -7x+14> -3x -6
Answers
Answer:
x<5
Step-by-step explanation:
help me out?? thank you so much whoever does!!
Answers
43º é th
dgggg ggddddddd
helpp
Lily bought shares for $15 each.
When she sold the shares she made
a profit of 35%.
What price did she sell the shares for?
Answers
Answer:
profit %=35%
cp=Rs15
sp=?
profit amount =?
now,
sp=35%of cp
=35 of 15
__
100
= 5.25
again,
sp =cp + profit
=15+5.5
=20.5#
Step-by-step explanation:
hope it helps
Will give brainiest help please
Write the equation of the line in Slope-Intercept Form.
(-2,3),(0,-1)
Answers
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answers
Answer:
A and C are parallel
Step-by-step explanation:
They both are 70 degrees
Answer and Step-by-step explanation:
Lines A and C MUST be parallel.
This is because they both have the same vertical angles, that being 70 degrees. The other lines have different angle measures, so those can't be parallel.
So, the answer is:
D. A and C
#teamtrees #PAW (Plant And Water)
your cousin ben is confused about his catholic faith because most of his friends are member of another.HOW WILL YOU BRING CHRIST LIGHT IN THE FOLLOWING SITUATION???
Answers
Help plz!!
No links.
Answers
Answer:
10
Step-by-step explanation:
Here is why.
The angle going down is 10 meters long.
Therefore it would be ten.
Any questions?
Answer:
10
Step-by-step explanation: i just did it in school a few days ago gg
Given the function F(x) = x ^ 3 + 2x - 1 , find the value f(- 2)
Answers
hope this helps.
Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER
Answers
Answer:
how would i know the answer
Step-by-step explanation:
Vickie and Amy made $23.10 together selling cookies. Vickie made twice as much as Amy. How much did Vickie make? PLSS Help! giving brainliest!!
Answers
Answer:
amy made 5.775 while vickie made 17.325
Step-by-step explanation:
i dunno