The lateral area of the prism is 182 in².
A three-dimensional structure with two triangle bases and three rectangle sides is called a triangular prism. The two bases are congruent and parallel to one another. It contains 5 faces, 6 vertices, and 9 edges altogether. There are three rectangular sides connecting the vertices and edges of both bases.
The dimensions of the base of a rectangular prism is given as 6 in × 7 in.
A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA).
Therefore, the lateral area of the prism is:
LA = 2 ( 6 × 7 ) + 2 ( 7 × 7 )
LA = 2 × 42 + 2 × 49
LA = 84 + 98
LA = 182 in²
Therefore, the lateral area of the prism is 182 in².
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Which situations can be modeled by a linear function?
A)
Car rental for $40 plus $0.25 per mile driven.
B)
New car worth $45,000 depreciates by 20% every year.
C)
10 pound six week old puppy gaining 3 pounds each month.
D)
City with a population of 50,000 doubles every 10 years.
E)
Gym membership that costs $30 and then just $2 per visit.
Answer:
the answer is a
Step-by-step explanation:
Answer:
A) Car rental for $40 plus $0.25 per mile driven.
C) 10 pound six week old puppy gaining 3 pounds each month.
E) Gym membership that costs $30 and then just $2 per visit.
Step-by-step explanation:
I NEED HELP!! ILL MARK BRAINLIEST AND GIVE YOU 100 POINTS!!
It's time to show off your creativity and marketing skills!
You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!
You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.
You must:
Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity.
Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)
I'm not entirely sure if the focus of this question is more on marketing or the proof, but I can try to help a bit with the proof.
From what I can tell this is basically asking you to take a polynomial from column A, square it, and then add it to column B, and then simplify it while showing your work in order to create an identity. For example:
(x+y)^2 + (ax+b) =
x^2 + xy + +y^2 + ax+b =
x^2 + ax +y^2 + xy + b
Factor out an x from x^2 + ax and a y from y^2 + xy (you don't have to simplify it this way, I'm just doing it as an example)
x(x+a) + y(y+x) + b
Therefore, (x+y)^2 + (ax+b) = x(a+x) + y(y+x)
I can't really help with making a flier, but hopefully this helps
Answer:
I’ll insert the picture!
Step-by-step explanation:
hope this helps everyone!
PLEASEEEE HELPPPPP !!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!
Answer: what are you looking for
Step-by-step explanation:
Answer: m<QRT = m<SRT
if there are 200 questions and 4 marks for correct answers and -1 for incorrect answer and total marks is 250then what is the number of correct answers
The number of questions answered correctly = 90.
What is a system of linear equations?A system of linear equations is a set of two or more linear equations. Linear equations refer to the equations that involve two or more variables in the form of "ax + b".Now,
Given:
Total number of questions = 200Marks for correct answer = 4Marks for incorrect answer = -1Total marks = 250To find : Number of correct answers = ?
Finding:
Now, assuming that the student attempted and answered all the questions,
Let the number of questions correctly answered be x and incorrectly answered be y.Then,
x + y = 200 (For number of questions) (eqn 1)and 4x - y = 250 (For the marks scored) (eqn 2)Solving the system of linear equations:
For eqn 2, we get that y = 4x - 250
Substituting in eqn 1, we get:
=> x + 4x - 250 = 200
=> 5x = 250 + 200 = 450
=> x = 90
That is, the number of questions answered correctly = 90, the incorrect answers = 200 - 90 = 110.
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If you deposit $7500 into an account paying 7% annual interest compounded monthly, how
much money will be in the account after 9 years?
HELP NOW 50 POINTS!
Given the system below, SELECT all terms that will be
eliminated by adding the equations together.
-X + y = -1
2x - y = 0
-x
2x
y
-y
-1
0
-x
2x
-1
0
Step-by-step explanation:
sorry I don't understand but have you tired go-oo?
The diameter of a circle is 26 inches. What is the circle's area?
Answer:
around 530
Step-by-step explanation:
26/2 = 13
A = pi × 13^2
What is the price of a $400 telescope after a 32% markup?
Answer:
$528 Dollars
Step-by-step explanation:
The answer is 528 because 32% of 400 is 128 and 400 plus 128 is 528.
P.S Can I have brainliest?
The product of 2 and the sum of 9 and -6, subtracted by 5, equals what number
Answer:
1
Step-by-step explanation:
9 + (-6) = 3
2(3) = 6
6 - 5 = 1
Answer:
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Step-by-step explanation:
Go to the link (you can just press it lol)
What is the equation, in point-slope form, for a line that goes through (2, -6) and has
a slope of 3/5
A. y - 6 = 3/5 (x + 2)
B. y - 2 = 3/5 (x + 6)
C. y+2 = 3/5 (x – 6)
D. y+6= 3/5 (x - 2)
Which expression is equivalent to 2(14x-3y+28x+12.2-5y-17.5)?
A.84x-16y-10.6
B.28x-6y-10.6
C.42x-8y-5.3
D.84x-16y-5.3
Answer:
a
Step-by-step explanation:
Equivalent expressions are expressions with equal values
The equivalent expression of 2(14x-3y+28x+12.2-5y-17.5) is 84x-16y-10.6
The expression is given as:
2(14x-3y+28x+12.2-5y-17.5)
Collect like terms
2(14x-3y+28x+12.2-5y-17.5) = 2(14x+28x-3y-5y+12.2-17.5)
Evaluate the like terms
2(14x-3y+28x+12.2-5y-17.5) = 2(42x-8y-5.3)
Open the bracket
2(14x-3y+28x+12.2-5y-17.5) = 84x-16y-10.6
Hence, the equivalent expression of 2(14x-3y+28x+12.2-5y-17.5) is 84x-16y-10.6
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raise v to the 2nd power, then subtract w
Answer: v^2 - w
Step-by-step explanation: any specific numbers that need to be plugged in?
franklin is thinking of two numbers. the sum of the two numbers is 40.the first number x, is 11 less than twice the second number, y. which system of equations can be used to find the two numbers? A) xy=40, x=2y-11 B) x+y=40, x=11-2y C) x-y=40, x=11-y D)x+y=40, x=2y-11
Answer: d) x+y =40
x=2y -11
Step-by-step explanation:
the sum of three numbers is 87. the second number is 2 times the third. the first number is 5 less than the third. what are the numbers?
The required numbers are 18,46 and 23.
This problem requires the idea of linear equation of 1 variable.
To clear up the linear equation we also need to recognize the BODMAS policies and the way to solve algebraic equations.
in this query the sum of the 3 numbers is 87.
let us count on that the third variable be x.
the second one variable is 2x.
The first variable is (x-5).
Now according to the question,
[tex](x-5)+2x+x=87[/tex]
⇒ [tex]4x-5=87[/tex]
⇒ [tex]4x=87+5[/tex]
⇒[tex]4x=92[/tex]
⇒ [tex]x=\frac{92}{4}[/tex]
∴ x=23
So, the third number is 23.
The second number is 2x i.e., 46.
The first number is (x-5) i.e., 18.
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A skydiver falls 144 feet in three seconds. How far does the skydiver fall per second?
Answer: 48 per second.
Step-by-step explanation:
First start by choosing a number. for example: 20. Then Sum The number 3 times 20 + 20 + 20 = 60. You need to get to 144 so I pass 20 and go to 30. 30 + 30 + 30 = 90. Lets pass and go to 40. 40 + 40 + 40 = 120. Its close. when Im close I Start summing 41, 42 and so on. 48 + 48 + 48 = 144. I reach to 144. So that means 48 is the answer.
Hope Is it correct!
-Mrs.Egg :3
7. Does line n intersect line q? Explain.
Answer:
Lines n and q are coplanar but not parallel. So, when the lines n and q are extended on the plane Q, they will intersect. ANSWER: Yes; line n intersects line q when the lines are extended. Name the geometric term(s) modeled by each object.
Step-by-step explanation:
Find the measure of each missing angle.
Answer:
Angles 1 and the angle provided (88°) are supplementary meaning their angles with total 180°. Therefore m<1 +88=180
m<1=92
We can see that by the arrow on the 2 lines that they are parralel and paralel lines form congruent angles. Therefore, the m<64 will equal that of 3
m<3=64
Now, that we have the m<1 and the m<3 we know that the m<2 is 24
This is because the measure of the interior angles of any triangle add up to 180.
92+64+m<2=180
156+m<2=180
m<2=24
Now, we see that the m<3+m<4+81 will total 180°. the m<3 is 64 so:
64+81+m<4=180
145+m<4=180
m<4=35
Now, by using the rule that the measure of the interior angles of any triangle add up to 180 we see that the m<4+m<5+64=180
m<4=35
35+64+m<5=180
99+m<5=180
m<5=81
Step-by-step explanation:
I need help!!
Describe the graph of the following function, including where it is shaded? My test ends in 9 minutes
Answer:
Go to desmos!!!
Step-by-step explanation:
Complete the pattern in the multiplication table
Find the exact length of the third side.
60
48
I’m stuck in this helppp
Which calculation and answer show how to convert 5/16 to a decimal
Answer:
0.3125
Step-by-step explanation:
There are two different methods:
make an equivalent fraction with the denominator as a power of
10
. This can be
10
,
100
,
1
,
000
,
10
,
000
,
100
,
000
and so on...
5
16
×
625
625
=
3125
10000
Once the denominator is a power of
10
, the number of zeroes indicates how many decimal places there will be.
3125
10000
=
0.3125
←
4
decimal places
This method only works if the denominator is a factor of one of the powers of
10
divide the numerator by the denominator
5
16
=
5
÷
16
=
0.3125
-g00gle I copied and pasted so might look weird
the average number of bridge construction projects that take place at any one time in a certain state is 7. p left parenthesis x equals k right parenthesis space equals space fraction numerator lambda to the power of k e to the power of negative lambda end exponent over denominator k factorial end fraction
k space i s space t h e space g i v e n space n u m b e r space o f space e v e n t space o c c u r r e n c e s
lambda space i s space t h e space a v e r a g e space r a t e space o f space e v e n t space o c c u r r e n c e s using the poisson distribution formula, what is the probability of exactly 4 bridge construction projects taking place at one time in this state? answer choices are rounded to the hundredths place.
The probability of exactly 4 bridge construction projects taking place at a time in this state is 0.09.
The average (λ) number of bridge construction projects taking place at a time in the state is 7.The average rate of event occurrences is "λ".λ = 7The given number of event occurrences is "x".x = 4The Poisson distribution is a discrete probability distribution in probability theory and statistics that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and regardless of the time since the last event.The Poisson distribution formula is :P(X = x) = [ (λ^x) * e^(-λ) ] / x!P(X = 4) = [ (7^4) * e^(-7) ] / 4!P(X = 4) = [ (7^4) * e^(-7) ] / 4!P(X = 4) = 0.09Thus, the probability of exactly 4 bridge construction projects taking place at a time in this state is 0.09.To learn more about probability, visit :
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Let x= t+2 and y= t² Write an equation for y in terms of only X
Answer:
[tex] y = {x}^{2} - 4x + 4[ /tex]
Step-by-step explanation:
[tex] x = t + 2 \\
\implies \: x - 2 = t....(1) \\
y = {t}^{2} ....(2) \\
plug \: t = x - 2 \: in \: equation \: (2) \\
y = {(x - 2)}^{2} \\
\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]
A poll was taken to total the candy collected by a few students who went trick or treating on Halloween. Determine the ratio that compares the number of
candy bars to the total pieces of candy.
Halloween Number of
Candy Pieces
Lollipops 10
Gumballs 15
Candy Bars
5
Chocolate 10
1:6
1:5
01:4
0 1:8
complete the square x2 + 4x +3=15 somebody help
Answer:
x=2
Step-by-step explanation:
2^2=4
4^2=8
4+8+3=15
Solve: |11x + 10| = 22
To solve the equation |11x + 10| = 22, we need to consider two cases: one where the expression inside the absolute value is positive and one where it is negative.
Case 1: (11x + 10) is positive:
In this case, the equation becomes 11x + 10 = 22. Solving for x, we subtract 10 from both sides, resulting in 11x = 12. Dividing by 11 gives x = 12/11.
Case 2: (11x + 10) is negative:
Here, the equation becomes -(11x + 10) = 22. Simplifying, we have -11x - 10 = 22. Adding 10 to both sides gives -11x = 32. Dividing by -11 yields x = -32/11.
Thus, the solution set for the given equation is x = 12/11 and x = -32/11, representing the two possible values of x that satisfy the equation |11x + 10| = 22.
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Helllpppp meeeee plsssssss
Answer:
The inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
Step-by-step explanation:
Given
[tex]\frac{8}{5}<\frac{9}{10}[/tex]
FALSE
Reason: 8/5 or 1.6 is greater than 9/10 or 0.9
[tex]1>\frac{6}{5}[/tex]
FALSE
Reason: 1 is smaller than 6/5 or (1.1)
[tex]\frac{5}{2}<2\frac{1}{2}[/tex]
converting mixed number to improper fraction
[tex]\frac{5}{2}<\frac{5}{2}[/tex]
FALSE
Reason: 5/2 can not be less than 5/2
[tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]
[tex]2<\frac{5}{2}[/tex]
TRUE
Reason: 2 is indeed smaller than 5/2 or 5.2 ∵ 5/2 = 2.5
Therefore, inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
Luis rides his bicycle 3/4 miles in 15 minutes along the bike trial. Assuming he rides at a constant rate, what is his speed? in miles per hour?
Answer:
3 miles per hour
Step-by-step explanation:
HELPPPPP ITS AN EMERGENCY!!!!!!
Answer:
FE < DE < FD
Step-by-step explanation:
None
You need a 40% alcohol solution. On hand, you have a 520 mL of a 70% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
The 390 ml of pure water will you need to add to obtain the desired solution.
It is required to find how much pure water will you need to add to obtain the desired solution.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
You know that the current solution is 70% alcohol, so the amount of alcohol present is 70% of 520 = 364
Let x be the amount of water to add. Then the new total amount would be 520 + x. To arrive at a solution that is 40% alcohol, you would want the amount of alcohol to be 40% of the new total.
So...
364 = .40 * (520 + x)
By simplify we get,
364=208+0.40x
364-208=0.40x
156=0.40x
x=390 ml
we must add 390 ml of water to get the 40% solution.
Therefore, the 390 ml of pure water will you need to add to obtain the desired solution.
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