Find the lateral area and the total area of the prism.
27 sq. ft.
36 sq. ft.
54 sq. ft.
Answers
1) the lateral area----------------> L=P*h
P=(3+3+3) h=6
L=(3+3+3)*6=54 in²
the answer part 1) is the lateral area is 54 in²
2) the total area=------------- > S=P*h+2B
2B=2*[3*3/2] P*h=54
S=2*[3*3/2]+54=63 in²
the answer part 2) is the total area is 63 in²
Answer:
54 sq. ft.
Step-by-step explanation:
LA=ph or in other words Lateral Area= base perimeter * height
The perimeter of the base is 9 because 3+3+3=9.
The height is 6. So 6 * 9 = 54
Related Questions
The area of a rectangle is 16, and its diagonal is 68−−√. find its dimensions and perimeter.
Answers
Find the product. (7 q - 5)(7 q + 5)
49q^2 - 10q - 25
49q^2 + 10q - 25
49q^2 - 25
Answers
[tex]Use\ (a-b)(a+b)=a^2-b^2.\\\\(7q-5)(7q+5)=(7q)^2-5^2=\boxed{49q^2-25}[/tex]
Final answer:
The product of the binomials (7q - 5) and (7q + 5) is found using the difference of squares formula, resulting in 49q² - 25.
Explanation:
To find the product of the given expressions (7q - 5)(7q + 5), we can use the difference of squares formula, which states that (a - b)(a + b) = a² - b².
Here, a is 7q and b is 5.
Applying the formula, we get:
(7q)² - (5)²49q² - 25This is because the mixed term +7q(-5) and the term -7q(+5) cancel each other out, leaving us with just the square terms.
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor? 2 × (7.5 + 15) 3 × (5 + 10) 5 × (3 + 6) 15 × (1 + 2)
Answers
The sum of 15+30 = 45 and can be expressed as a multiple of prime factors:
(3^2)5
So (15+30) could be expressed as 9*5, but it can not be expressed as a non-repeating multiple of prime factors.
Which equation can be rewritten as x + 4 = x2? Assume mc006-1.jpg
Answers
we have that
x + 4 = x²
step 1
raise to ^(1/2) both members
(x+4)^(1/2)=(x²)^(1/2)
(+-)√(x+4)=x
but remember that x>0
then
√(x+4)=x
the answer is the option C
Answer:
The answer is C
Step-by-step explanation:
Got it right on edge 2020
NEED HELP RIGHT NOW. ASAP!!! PLZ PLZ PLZ HELP ME. YOU WILL GET BRAINLIEST. IF YOU ANSWER FIRST OR IF YOU ARE RIGHT!
Answers
Let's take to heart a important thing to remember, a circle has a sum of [tex]360[/tex]°. So, were going to really brake this down!
[tex]\boxed{x=107/5=21.400}[/tex]
[tex]\boxed{5*x-6-(101)=0} \\ \\ (Solving \ a \ single \ variable \ equation) \\ \\ 5x-107=0 \\ 5x=107 \\ \\ x=107/5=21.400 \\ \\ Hope \ this \ help![/tex]
x= 15
here is the work:
101 +37 = 138
138/2 = 69
5x-6 = 69
add 6 to each side
5x = 75
divide:
x = 75/5
x = 15
A new board game uses special dice. Each die has eight sides. The game uses three of these special dice. How many outcomes are possible?
Answers
Final answer:
To find the number of possible outcomes when rolling three eight-sided dice, you multiply the number of outcomes of each die together, resulting in 512 total outcomes.
Explanation:
To determine how many outcomes are possible when rolling three eight-sided dice, we need to calculate the total number of combinations that can occur. Since each die has eight possible outcomes and the dice are rolled simultaneously, the number of outcomes for each die can be multiplied together to find the total number of outcomes for all three dice.
So, the calculation for the total number of outcomes is as follows:
8 (outcomes for die 1) × 8 (outcomes for die 2) × 8 (outcomes for die 3) = 512 total outcomes.
Therefore, there are 512 different possible outcomes when rolling three eight-sided dice.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -0.75m-0.5=2+0.25m
-2
-3
-4
-5
Answers
Rewriting we have:
-0.75m-0.5 = 2 + 0.25m
- (3/4) m- (1/2) = 2 + (1/4) m
To eliminate the fractions we must multiply both sides of the equation by -4
-4 * [- (3/4) m- (1/2)] = - 4 * [2+ (1/4) m]
3m + 2 = -8-m
Answer:
Each term of the equation can be multiplied by -4 to eliminate the fractions before solving.
The width of a rectangular prism is w centimeters. the height is 2 centimeters less than the width. the length is 4 centimeters more than the width. of the volume of the prism is 8 times the measure of the length, find the dimensions of the prism
Answers
w^2 - 2w = 8
w^2 - 2w - 8 = 0
(w-4)(w+2) = 0
w = 4 Or w = -2
However w cannot be less than 0
So w must = 4
Width is 4, height is 2, length is 8
Total Volume =64 which is 8(8).
Solve using substitution
Answers
Isolate x in the first equation. Subtract 3y from both sides
x+3y = 8
x+3y-3y = 8-3y
x = 8-3y
So we can see that x is the same as 8-3y
Now move onto the second equation
3x - 5y = -18
3( x ) - 5y = -18 ... rewrite x so it has parenthesis around it
3( 8-3y) - 5y = -18 ... replace x with 8-3y; solve for y
24-9y - 5y = -18
24-14y = -18
24-14y-24 = -18-24
-14y = -42
-14y/(-14) = -42/(-14)
y = 3
If y = 3, then x is...
x = 8-3y
x = 8-3*3
x = 8-9
x = -1
The x and y values are x = -1 and y = 3
Together they pair up to form the ordered pair (x,y) = (-1,3)
The solution is (-1,3)
If you graph the two original lines, then they cross at (-1,3)
(8)
7/x 11/x cross multiply x^2 = 77, square root of both sides x = sqroot of 77
My answer: D
Answers
Find the area of the shaded region of the trapezoid.
Answers
Trapezoid Area = (51 / 2) * 26
Trapezoid Area = 663
UN-shaded triangle area = .5 * base * height
UN-shaded triangle area = .5 * 23 * 26
UN-shaded triangle area = 299
SHADED Trapezoid Area = 663 -299
SHADED Trapezoid Area = 364
What is the volume of a cube with length 7 cm? V = lwh
Answers
Answer:
it is i also took da test
Step-by-step explanation:
How much interest would an account earn if 3,000 is invested at an interest rate of 4.8% compounded semiannually for 2 years
Answers
Total = 3,000 * (1 + .048/2)^2*2
Total = 3,000 * (1.024)^4
Total = 3,000 * 1.0995116278
Total = 3,298.53
Will graphs for these equations show parallel lines? Explain.
y=6x+1
y=6x-5
Answers
The reason why is because the two slopes for the equations are both 6 each. The equations are in y = mx+b form where m is the slope. The y intercepts are different (1 for the first; -5 for the second). So those two pieces of info lead to non-intersecting parallel lines.
Which solid figure has a base that is a polygon and a triangular faves that meet at a vertex
Answers
where the base is a polygon of 3 or more sides
There are 190 students taking band, chorus, or both. If there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus?
70
60
10
120
Answers
The answer would be 10. I know this because I got it right on my assignment. Have a great day!
If there are 180 students taking band and 60 students in both band and chorus, then 180-60=120 students are taking only band.
Now:
120 students are taking band;60 students are taking both band and chorus;190 students in total.Then 190-(120+60)=190-180=10 students are taking only chorus.
Answer: correct choice is C.
A nut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $3.10 per pound of cashew nuts. Over the entire day, 134 pounds of the nut mixture were sold for $241.10. If p is the number walnuts and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=134p+3.10n=241.10 Determine the correct description and amount of pounds for walnuts and cashew nuts that were sold.
Answers
b) The solution to the system of equations can be found many ways. Choose your favorite (including posting on Brainly, if you like). It is
.. p = 83
.. n = 51
83 pounds of walnuts and 51 pounds of cashews were sold.
Answer: 83 pounds of walnuts and 51 pounds of cashew nuts.
Step-by-step explanation:
Let p be the amount of pounds for walnuts and n be the amount of pounds for cashew nuts that were sold.
Given : A nut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $3.10 per pound of cashew nuts.
Over the entire day, 134 pounds of the nut mixture were sold for $241.10.
Then, system of equation represents the given situation will be :-
[tex]p+n=134----------(1)\\\\p+3.10n=241.10----------(2)[/tex]
Eliminate (1) from (2), we get
[tex]2.10n=107.1[/tex]
Divide 2.10 from both sides , we get
[tex]n=51[/tex]
Put value of n in (1), we get
[tex]p+51=134\\\\\Rightarrow\ p=134-51=83[/tex]
Hence, the correct description will be : 83 pounds of walnuts and 51 pounds of cashew nuts.
At summer camp, 150 kids had the opportunity to choose their activities. of those kids selected archery for their morning activity. Of that group, also chose to study drama in the afternoons. How many kids chose both archery in the morning and drama in the afternoons?
Answers
The correct answer is [tex]D = 23[/tex]
To solve this problem , let's define the given information:
Let [tex]T[/tex] be the total number of kids at the summer camp:
[tex]T = 150[/tex]
Let [tex]A[/tex] be the number of kids who chose archery for their morning activity:
[tex]\frac{A}{T} = \frac{3}{5}[/tex]
Let [tex]D[/tex] be the number of kids from the archery group who also chose drama in the afternoons:
[tex]\frac{D}{A} = \frac{1}{4}[/tex]
We want to find the value of [tex]D[/tex], which represents the number of kids who chose both archery in the morning and drama in the afternoons.
We can set up the following equations:
[tex]\frac{A}{T} &= \frac{3}{5}[/tex]
[tex]A &= \frac{3}{5}T[/tex]
[tex]A &= \frac{3}{5}(150)[/tex]
[tex]A &= 90[/tex]
[tex]\frac{D}{A} &= \frac{1}{4}[/tex]
[tex]D &= \frac{1}{4}A[/tex]
[tex]D &= \frac{1}{4}(90)[/tex]
[tex]D &= 22.5[/tex]
Therefore, the number of kids who chose both archery in the morning and drama in the afternoons is [tex]22.5 or 23[/tex] (since we cannot have a fractional number of kids).
[tex]D = 23[/tex]
look at the pictures below // please help // 50 points
Answers
Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. if you choose the upside-down cone to have the largest possible volume, what fraction of the volume of the larger cone does it occupy?
Answers
then x/b=h/r, and
volumeof smaller is 1/3pi(h-x)b^2, or
1/3pi(h-x)(x^2r^2/h^2=
1/3pi((x^2r^2/h)-(x^3r^2/h^2).
Now differinate with respect to x,
and set to 0, so
((2xr^2/h)-(3x^2r^2/h^2)=0,
so you get x=2/3h.
So, fraction is ((1/3pi(h-2/3h)(4/9r^2)/(1/3pir^2h)= 4/27
When a smaller, upside-down cone is placed inside a larger cone, both cones being similar and the vertex of the smaller one being at the center of the base of the larger one, the smaller cone would occupy 1/8 or 12.5% of the volume of the larger cone.
Explanation:The relationship between the volume of the larger cone and the smaller, upside-down cone placed inside it is represented through the formula for the volume of a cone, which is 1/3 * π * r² * h, where 'r' is the radius of the base and 'h' is the height. If you manage to place the smaller cone such that it has the largest possible volume (which will happen when the smaller cone is similar to the larger cone), the smaller cone will have a height and radius proportionately smaller than the larger one.
Thus, the volumes are proportional to the cube of their corresponding proportions, so the smaller cone will occupy 1/n³ of the volume of the larger cone, where 'n' is the proportion between their linear dimensions. In this particular set-up, the 'n' will equal 2 because when the vertex of the smaller cone is at the center of the base of the larger cone, the smaller cone's height is half that of the larger cone. Hence, the smaller cone will occupy 1/2³ = 1/8 or 12.5% of the volume of the larger cone.
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△XYZ∼△DEF , YZ is 10 meters, XZ is 15 meters, and EF is 8 meters.
What is DF ?
____ m
Answers
Answer:
The measure of KL is 12 meters.
Step-by-step explanation:
It is given that △XYZ∼△DEF.
The corresponding sides of two similar triangles are proportional.
[tex]\frac{YZ}{EF}=\frac{XZ}{DF}[/tex]
[tex]\frac{10}{8}=\frac{15}{DF}[/tex]
[tex]10\times DF=15\times 8[/tex]
Divide both sides by 10.
[tex]DF=\frac{120}{10}[/tex]
[tex]DF=12[/tex]
Therefore we can say that if △XYZ∼△DEF, then the measure of DF is 12 meters.
Which description compares the vertical asymptote(s) of Function A and Function B correctly?
Function A: f(x)= 1/ x+4
Function B
Both functions have a vertical asymptote at x=−4 .
Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x = 3.
Function A has a vertical asymptote at x = 4.
Function B has a vertical asymptote at x = 2.
Function A has a vertical asymptote at x=−4x=−4 .
Function B has a vertical asymptote at x = 2.
Answers
Function A has a vertical asymptote at x = -4.
The graph B has vertical asymptote is 2.
We have given function
A : f(x)=1/(x+4)
Since the rational function has the vertical asymptote at x=-4 then the denominator of function f(x) contains the term (x+4)
Function B :
What is the vertical asymptote?
A vertical asymptote is is a vertical line that guides the graph of function but is not part of it.
So from the graph we can see that the graph does not pass from the point at x=2
Therefore, the vertical asymptote is 2.
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Which of the following best describes set of numbers? 6, 9, 12, 15, ... infinite alternating sequence finite geometric sequence infinite arithmetic series infinite arithmetic sequence?
Answers
Answer:
It is an infinite arithmetic sequence
Step-by-step explanation:
we are given a set of numbers:
6,9,12,15,...
As we can see that
9-6=3
12-9=3
15-12=3
So, given set of numbers are a sequence of arithmetic progression with common difference 3 and terms in the sequence are infinite.
Hence, it is an infinite arithmetic sequence
(05.02 MC)Henry wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?
Can someone please explain step by step.
Offering all of my points and brainliest answer!!!!!
Please, Please, Please help me out
Answers
Let's separate the trapezoid into 3 shapes. Two triangles, and 1 rectangle.(I included an image of an isosceles trapezoid for reference)
First let's find the area of the triangles. We'll use this equation.a = areab = baseh = heighta = b · h · 0.5a = b · 3 · 0.5
We need to find the base of the triangle. To do this, we'll subtract 6 from 10, which equals 4. 4/2= 2 which is the base of the left and right triangle. Let me know if you're confused by that!!
a = 2 · 3 · 0.5a = 6 · 0.5a = 3The area of both triangles is 3.
Now we need to find the area of the rectangle. We'll use this equation.a = b · ha = 6 · 3a = 18
So the rectangle's area is 18, and both triangle's area is 3.18 + 3 + 3 = 24
Now we need to find the cost. 24 · 4 = 96
The answer is $96.
Hope this helps! :)
Answer:
96
Step-by-step explanation:
A pair of shoes costs three times as much as a scarf. The total cost of 1 pair of shoes and 1 scarf is $32. If s represents the cost of 1 scarf, which equation could you use to find the cost of 1 scarf?
Answers
I did it on TTM and it was correct ^^
Answer:
3s+s=32
Step-by-step explanation:
can anyone help me with this
Answers
See the attachment for the table values.
Obviously, the patterns are similar in that each row is multiplied by some constant to get the next row. They are different in that the constants are different. 2 is used for the left column, so the reward grows less fast than in the right column where 3 is used.
The King's Plan 2 will only be cheaper if the number of squares being filled is less than about 5/8 of the number of squares in the original Plan 1.
Which of the following is an advantage of an observational study over a sample survey? A)Observational studies are not dependent on people’s responses, which may not be truthful.
B)Observational studies involve the random selection of subjects.
C)Observational studies do not manipulate variables.
D)Observational studies do not involve treatments.
Answers
Observational studies involve the random selection of subjects.
What is an observational study?An observational study is used in subjects like epidemiology, social sciences, psychology, and statistics to draw inferences from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical restrictions.
Observational studies are ones in which a researcher makes observations about his thoughts and views. He observes the risk and other effects before the actual test takes place.
This is usually the initial phase of research where observations are made for the suitability of certain things that are to be researched. There is an initial feasibility test conducted to identify whether the further research process is beneficial or not.
Therefore Observational studies involve the random selection of subjects.
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If F(x)=x-5 and G(x)=x^2, what is F(F(x))?
Answers
I really hope this helps
Given F(x)=x-5 and G(x)=x^2 you want to find F(F(x)).
In order to do this, you don't need to know what G(x) is. Just put F into F...
F(x)=x-5
F(x-5)=x-5-5
F(F(x))=x-10
This is the question that you asked, but the photo makes it look like they want you to do G(F(x)) so I will do that one too.
G(x)=x^2
G(x-5)=(x-5)^2
THEREFORE...
G(F(x))=(x-5)^2
A is the answer!
EXPLANATION:
Remember that a function is like a machine. F(x) is a machine and G(x) is also a machine. Plugging F into G is basically taking the output of the F machine and putting it into the G machine.
I really hope this helps! If you need a more detailed explanation, feel free to message me.
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There are 40 total students in the class and 12 of them are girls. what percentage of the class is boys?
Answers
28/40 X 100 = 70%
Classify the polynomial 3x^5 by degree
A: cubic
B:quadratic
C:quintic
D:quartic
Answers
______________________________________________________
Note: The prefix "quint-" is ONE of the prefixes (other than "pent-") that means "5" ; and considering: "3x⁵ " ; we consider the "largest exponent value corresponding to a variable"— which, in the question, is "5" — as the "degree of the polynomial" .
______________________________________________________
Consider: "Choice: [A]: "cubic". This answer is incorrect.
This choice would be correct IF the polynomial was: " 3x³ " .
___________________________________________________________
Consider: "Choice: [B]: "quadratic" ; is incorrect.
This would refer to an equation, in "quadratic form" ; that is:
" ax² + bx + c = 0 ; { b[tex] \neq [/tex]0 } . " .
___________________________________________________________
Consider: "Choice: [D]: "quartic" ; is incorrect. This would refer to: " 3x⁴ " .
___________________________________________________________
The degree of the given polynomial [tex]3x^5[/tex] is quintic that is 5 and this can be determined by comparing the given polynomial with the generalized quintic equation.
Given :
Polynomial -- [tex]3x^5[/tex]
The following points should be remembered in order to determine the degree of any polynomial:
The generalized quadratic equation is represented by: [tex]ax^2 + bx + c =0[/tex]The generalized cubic equation is represented by: [tex]ax^3 + bx^2 + cx + d =0[/tex]The generalized quartic equation is represented by: [tex]ax^4 + bx^3 + cx^2 + dx+e =0[/tex]The generalized quintic equation is represented by: [tex]ax^5 + bx^4 + cx^3 + dx^2+ex + f =0[/tex]So, from the above points, it can be concluded that the degree of the given polynomial [tex]3x^5[/tex] is quintic that is 5. Therefore, the correct option is C).
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