The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
3.2 AT
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.
1.6
-
-
-
-
-
-
10.4
V
0.8
2.2.
Answers
Answer:
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
E)The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
C)The surface area changes by a factor of 8.
D)The larger prism has twice the volume of the smaller prism.
E)The area of the rectangular bases changes by a factor of 4.
Solution:
Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.
A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
Option A is correct.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
Option B is correct.
C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68
The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)
Option C is wrong
D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632
Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704
The larger prism volume is not twice of the smaller prism
Option D is wrong
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
The area of the rectangular bases changes by a factor of 4 (1.76 / 0.44 = 4)
Related Questions
in the figure below, all lines intersect at point M. what is the measure of
Answers
Answer:
m∠GML= 65°
Step-by-step explanation:
m∠GML= 180°-(m∠GMH+m∠HMI)
= 180°-(85°+30°)
=180°-115°
m∠GML= 65
--------------------------
hope it helps...
have a great day!!
If all lines intersect at point M then the measure of GML is 65 degrees
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
We know that the vertical angles are equal
And the sum of angles on a line are 180 degrees
So 85+30+x=180
115+x=180
Subtract 115 from both sides
x=180-115
=65 degrees
Hence, if all lines intersect at point M then the measure of GML is 65 degrees
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ2
Sakura wants to analyze the effect of drinking alcohol on the functioning capacity of the liver. Her two research associates will conduct two separate studies about the same topic. Ricochet use an experiment approach. Tituba will use an observation study approach. Determine what will be the difference between both studies.
Answers
Answer:
They will come out as the same but the process of the study might have a different time stamp of the study or they might see different things happening in the process.
Step-by-step explanation:
Patrice goes to fishers candy shop with the price of gummy candies modeled by the equation y=5/2x where x is the amount of gummy candy in lbs
Answers
Answer:
You need to put the question, but I'll try to help as much as I can without the question. y=5/2x, if you put the amount of gummy candy in lbs in the x's place, and you multiply the amount by 5/2, you will get the price.
Step-by-step explanation:
Find the missing side length in the following Pythagorean Triple:
7 - ? - 25
Answers
What’s the scale factor?
20:4
4:1
16:1
64:1
Answers
Answer:
B
Step-by-step explanation:
The first pyramids height is 20
The pyramids equivalents height is 5
20 divided by 5 is 4
So the scale is 4:1
Can someone please show me how to do this/ the work for it? I’ll award brainliest when possible
Answers
Step-by-step explanation:
I dont know how to do this sorry
Please help no fake answers or links please
Answers
Answer:
I think B as all the dots are near the line B
[tex]\mathtt{: )}[/tex]
Can someone plz help me with this one problem plz!!!
Answers
Answer:
Yes
Step-by-step explanation:
Since Lucia was not able to see which shirt she was picking, ( i think), this would be random.
A music store has 10 flutes costs $325.50 what is the cost of 10 flutes
Answers
The 10 flutes at the store cost 325.50 it was said in the question
Based on your work with similarity transformations in question 1, which images are similar to the preimage ABCDE? Which Images are not similar?
Answers
Answer:
Images FGHIJ, KLMNP, and VWXYZ are similar to preimage ABCDE. Image QRSTU is not similar.
Step-by-step explanation:
PLATO answer
If I have a circle with a raduis of 2 and I want to increase the raduis to 16, what is the scale factor?
4
6
8
12
Answers
Answer:
8
Step-by-step explanation:
2 * 8 = 16
Ben bought 3.2 pounds of oranges.
The oranges cost $1.60 per pound.
How much money did Ben spend on
oranges?
Answers
Answer:
$5.12
Step-by-step explanation:
Multiply the cost per pound price by how many pounds of oranges Ben bought
1.60 * 3.20 = 5.12
5 friends ate pizza . Each friend ate 2/3 of a pizza . How much pizza did they eat in total..ASAP PLEASE
Answers
Answer:
3 1/3 pizzas
Step-by-step explanation:
5 * (2/3) = 10/3 = 3 1/3 pizzas
Answer:
3 and 1/3 pizzas
is how many pizzas u need
prove
tantheta cottheta= Sec theta csc theta
Answers
Answer:
Step-by-step explanation:
LHS
tan θ * cot θ
= sin θ / cos θ * cos θ / sinθ
= 1
RHS
sec θ * cos θ
= 1/cos θ * cos θ
= 1
Therefore LHS = RHS proved.
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! AHH
Answers
Answer:
Step-by-step explanation:
Answer:
point A is (0.75, 0.75)
Step-by-step explanation:
A man has Rs 1900. he lent some of it at 5% p.a and rest at9% p.a. The total amount of interest which he got after4 years was Rs 580.Wwhat was the sum
ans= Rs650,Rs 1250
Answers
Answer:
The sum is Rs 1,250 and Rs 650
Step-by-step explanation:
Let the amounts be represented as $x and $y
The sum of both is 1900
Thus;
x + y = 1,900 •••••(i)
Mathematically, the interest on the amount borrowed is;
I = PRT/100
where p is the principal, representing the amount borrowed
R is the rate
T is the time
for the first amount of $x ; we have interest as;
I = (x * 5 * 4)/100 = 20x/100
for the second, we have
I = (y * 9 * 4)/100 = 36y/100
The sum of both is 580
Thus;
20x/100 + 36y/100 = 580
20x + 36y = 58000 •••••(ii)
From equation i;
x = 1,900 - y
Substitute this into equation ii
We have this as;
20(1900-y) + 36y = 58,000
38000 - 20y + 36y = 58,000
16y = 58000 - 38000
16y = 20,000
y = 20,000/16
y = 1250
From equation 1;
x + y = 1900
x = 1900-y
x = 1900-1250
y = 650
What is the range of 4,3,3,6,10,7,4,3
Answers
10
−
3
=
7
10
-
3
=
7
.
7
Step-by-step explanation:
We have,
3,3,3,4,4,6,7,10
The largest number (L) = 10
The smallest number(S) = 3
Since, the range is the difference between the largest and the smallest value given in the data,
Here,
R = L-S
= 10-3
= 7
Thus Range = 3
image down below plz help
Answers
Answer:
A
Step-by-step explanation:
I feel strongly that it is A.
A triangle has two sides measuring 8 and 15. The included angle is 33°. What is the length of the side opposite the 33° angle?
Answers
Answer:
Measure of the side opposite to the angle measuring 33° is 9.37 unit
Step-by-step explanation:
If a, b and c are the sides of a triangle,
And 'a' = 8
b = 15
Measure of the Included angle C = 33°
By applying cosine rule in the given triangle,
c² = a² + b² - 2abcos(C)
c² = 8² + (15)² - 2(8)(15)cos(33°)
= 64 + 225 - 201.28
= 87.72
c = √87.72
c = 9.266
≈ 9.27
Therefore, measure of the side opposite to the angle measuring 33° is 9.37 units
A quadrilateral with all sides is equal, opposite angles are congruent and diagonals bisected each at a right angle.
Answers
Answer:
Rhombus
Step-by-step explanation:
Rhombus has all the properties of a parallelogram and has additional features : like -
- all sides r equal
- diagonals bisect each other at a right angle
I hope im right
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Find the MEDIAN of the temperatures.
Answers
Answer:
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Step-by-step explanation:
There are 200 marbles in the bag, John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?
Answers
Answer:
Step-by-step explanation:
favorable success: 6/10
marbles: 200
So
P=Favorable cases/total cases
P=6(20)/10(20)
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Step-by-step explanation:
The average blue whale gains weight at a constant rate each day during its first six months of life. The relationship between the average blue whale's weight in tons, w, and its age in days d, for the first six months of its life can be modeled by the function w = 0.1d +3. Based on this relationship, which statement is not true for the average blue whale?
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Answer:
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Sonya has 5 sandwiches. She cuts each sandwich into fourths and gives away 6 pieces. How many 1/4 size sandwiches does she have now?
Answers
Answer:
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Step-by-step explanation:
5 divided into 1/4 pieces will be 20. 20-6 equals 14. :)
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Answer:
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Step-by-step explanation:
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Have a nice day!
and can I maybe have brainliest? Thanks!
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Answers
Answer:
Cells are the basic building blocks of all living things. The human body is composed of trillions of cells. They provide structure for the body, take in nutrients from food, convert those nutrients into energy, and carry out specialized functions.
Step-by-step explanation:
Hopes this help.
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Answers
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Helen has 2 winter coats, 4 hats, and 3 scarves. If she wears a coat, hat, and scarf, how many different outfit combinations does Helen have to choose from?
Answers
Answer:
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Step-by-step explanation:
Can someone help me please
Answers
Answer:
6*6+16*20
=320+36
=356 so it's C
Answer:
C: 356 sq ft.
Step-by-step explanation:
Imagine a rectangle filling the empty space in the polygon.
Using this, we get 440 sq ft.
Now subtract the area that you filled in.
440-(14x6)=A
440-84=A
356=A
Solve for x. round to the nearest tenth.
Answers
Answer:
13.7
Step-by-step explanation: