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
How do you find the percentage of 70.9 of 100
Answers
70.9/100=0.709=70.9%
How to find the missing dimensions of a prism
Answers
Answer:
Below.
Step-by-step explanation:
You need to know the volume or total surface area of the prism and 2 of the dimensions.
The formula for the volume = wlh where w = width , l = length and h = height.
So knowing say w = 4, l = 8 and V = 192 we have:
V = wlh
192 = 4 * 8 * h
h = 192/4*8
= 192/32
= 6.
can someone please help will give brainleist
pythagorean modeling
Answers
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
Answer:
hi.............,,,,,........
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
Answers
Answer:
the answer is what you think it is fam on foenem
f(x) = x ^ 4 - 6x ^ 3 + 8x ^ 2 - 21 ^ 2 the possible rational zeros
Answers
Answer:
Step-by-step explanation:
[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]
we conclude that it has two or four real roots.
Write parametric equations of the line a. Please select the best answer from the choices provided A
Answers
Answer:
Parametric Equation of a Line
Step-by-step explanation:
A line, parallel to vector (a,b,c) passing through point P (x1,y1,z1) is represented by parametric equations
x = x1+ at
y = y1 + bt
z = z1 + ct
2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2
Answers
Answer:
Unit 9 Answer Key.pdf
Step-by-step explanation:
Search that up and you'll see all the answers
Please give me Brainliest and like and rate please hope this helps BYE!
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21
Answers
Answer:
B and C
Step-by-step explanation:
what s
2/3x(23+57)
jeefhjdfblfhlwkejbfhbfkjdsbfwjbf
Answers
Answer:
53
Step-by-step explanation:
53.3333333333
Answer:
160 x /3
Step-by-step explanation:
Find the surface area of the triangular prism shown below. 10 10 8 14 12
Answers
Answer:
Hello! answer: 544
Hope this helps!
The surface area of the given triangular prism is 544 units³
What is a triangular prism?A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.
Given that are the dimensions of a triangular prism, we are asked to find its surface area,
Surface area = (perimeter × length)+(base area)
Surface area = [(10+10+12)×14]+(8×12)
= 32×14+96
= 448+96
= 544
Hence, the surface area of the given triangular prism is 544 units³
Learn more about triangular prism, click;
https://brainly.com/question/27102803
#SPJ2
A car that is purchased got 24000 is expected to depreciate at a rate of 7% per year. If the function f(x)=ab^x models this situation, which function could be used to find the value of the car after 10 years?
Answers
Answer:
FV= 24,000*(1.07^-10)
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $24,000
Decrease rate (d)= 7%
Number of periods (n)= 10 years
To calculate the value of the car after 10 years, we need to use the following formula:
FV= PV*(1+d)^-n
FV= 24,000*(1.07^-10)
FV= $12,200.38
solve for c 4c+9d=16
Answers
1 plus 1 =2
2+2 4 3+3 6 77÷11 7
EXTREMELY URGENT!!!!! 25 points to who gets it right
in the following diagram, the length of ab is 9 units, and the length of bd is 2 units. find x, the length representing cb. give your answer to one decimal place.
Answers
20.3 units
i’m sorry if wrong, hope this helps!!
PLZZZ HELP MEEEEE!!!!
Answers
Answer:
She would use the mean.
Step-by-step explanation:
13. ¿Cuál es el vértice de la parábola y=2x^2-16x+2?
A) (4.-30)
B) (4,0)
C) (-4,38)
D) (-4,-30)
E) (5,2)
Answers
Find the volume of the composite figure. Select the correct
numbers into the boxes to complete the answers.
7 ft
4 ft
4 ft
11 ft
7 ft
Volume of rectangular prism:
Volume of the triangle prims:
Answers
Answer:
the volume of rectangular prism is 11 ft.
the volume of triangle prism is 7 ft.
Find the area of the figure. (Sides meet at right angles.)
Answers
5 x 3 = 15
7 x 5 = 35
35 + 15 = 50 m^2
Answer:
The answer would be 50m units squared.
4. Jason can travel 24 miles in hour . What is his average speed in miles per hour?
Answers
Answer:
if he is traveling 24 miles in an hour his average speed is going to be 24mph.
Answer:
Hello There!
Step-by-step explanation:
Your answer is:
24 miles per hourThis is because if he travels 24 miles in an hour, he stays that constant of 24 miles per hour.if this helps please give me a thanks!!
- abakugosimp
PLEASE HELP!
If triangle MNO and triangle PQR are similar, which of the following must be true?
Answers
Answer:
C and D
Step-by-step explanation:
Want explanation? Comment
Answer:
D
Step-by-step explanation:
It looks like triangle MNO and PQR are similar because PQR is a smaller version of MNO reversed. If this is true, MN is equal to PQ, OM is equal to RP, and ON is equal to RQ. Therefore, the answer should be D.
I really hope this helps!!
The correlation coefficient between two quantitative variables is approximately 0.02. What does the value of this correlation coefficient indicate about how well the model
fits the data?
O A. The correlation coefficient is not within the correct range.
O B. The model is a good fit.
OC. No conclusion can be drawn regarding how well the model fits the data.
The model is not a good fit.
Answers
Answer:
The model is not a good fit
Step-by-step explanation:
The correlation Coefficient is a metric used to evaluate the strength of the relationship between 2 variables, the correlation Coefficient ranges from - 1 to + 1 with values closer to either ±1 depicting the strongwr and better relationship. A value of 0 means no relationship exists and values close to zero means the relationship is weak. Wutb a correlation Coefficient value of 0.02, this value is very close to 0 and hence shows that the relationahip is extremely weak. Hence, the model is not a good fit.
Help 15 points for the answer
Answers
Answer:
3x² + 7x + 6
Step-by-step explanation:
Big Rectangle:
A = bh
A = (x + 3)(x + 2)
A = x² + 2x + 3x + 6
A = x² + 5x + 6
Small rectangle:
A = bh
A = (x + 1)(2x)
A = 2x² + 2x
Combined:
x² + 5x + 6 + 2x² + 2x
3x² + 7x + 6
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
Answers
Answer:
BC ≈ 4.17
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )
5.7 × cos43° = BC , then
BC ≈ 4.17 ( to 3 sf )
label sides hypotenuse, adjacent
cos43 = adjacent / hypotenuse
BC/AC = BC/5.7
x both sides by 5.7
5.7 x cos43 =BC
BC = 4.17(3sf)
Use the equation below to find y, if m =6, x = 3, and b = 5.
y = mx + b
Answers
3. Which of the following equations is
equivalent to the equation shown below?
3x + 5 = 7x
10
A. 10x + 5 = -10
B. 4x + 5 = -10
C. 7x - 5 = 3x
D. -4x + 5 = -10
Answers
Answer:
the question has some problems
Help Identify the elements plz
Answers
Answer:
a 3,4 k, 3,2 m,5,8
Step-by-step explanation:
Use the distributive property to expand -4 (-2+3x). Which is an equivalent expression?
-8/5 + 12x
-8/5 - 12x
8/5 + 12x
8/5 - 12x
Answers
Answer:
The answer should be 8-12x......if i take a wild guess out of your answer choices, would say C.
Step-by-step explanation:
-4 (-2+3x)
[carry over the -4 to (-2) and (3x) ]
8-12x
Simplify the expression. 9(5-3)+9v HELPPPPPPPppppppp timed
Answers
Step-by-step explanation:
Subtract the numbers
9
(
5
−
3
)
+
9
9({\color{#c92786}{5-3}})+9v
9(5−3)+9v
9
(
2
)
+
9
9({\color{#c92786}{2}})+9v
9(2)+9v
2
Multiply the numbers
9
⋅
2
+
9
{\color{#c92786}{9}} \cdot {\color{#c92786}{2}}+9v
9⋅2+9v
1
8
+
9
{\color{#c92786}{18}}+9v
18+9v
3
Rearrange terms
1
8
+
9
{\color{#c92786}{18+9v}}
18+9v
9
+
1
8
{\color{#c92786}{9v+18}}
9v+18
Solution
9
+
1
8
Help please I beg you. There’s a picture of the question and answers
Answers
The model below is shaded to represent an expression. Which expression represnts the model?
Answers
Answer:
stop rushing me aaaaaaaaaahhhhhhhh
Step-by-step explanation:
Find the area of this shape
Answers
Here's the solution,
Area of rectangle :
=》
[tex]l \times b[/tex]
=》
[tex]23 \times 12[/tex]
=》
[tex]276 \: \: cm {}^{2} [/tex]
Area of trapezoid :
note : h = 18 - 12 = 6 cm
=》
[tex] \dfrac{1}{2} \times (a + b) \times h[/tex]
=》
[tex] \dfrac{1}{2} \times (23 + 15) \times 6 [/tex]
=》
[tex]38 \times 3[/tex]
=》
[tex]114 \: \: cm {}^{2} [/tex]
Area of whole figure (V) = sum of their Areas,
=》
[tex]276 + 114[/tex]
=》
[tex]390 \: \: cm {}^{2} [/tex]