Triangular prism has 4 sides, including the base. The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]
How to find the lateral area of a triangular prism?Lateral area of the considered triangular prism is the sum of areas of the triangles it is made up from except that of the base triangle.
The lateral area of a right prism which is regular (all lateral sides congruent) is given by:
[tex]A_L = P \times h[/tex]
where, P = Perimeter of the base
h = height of that prism
For the given case, we have the base of the triangular prism of side length x units.
Thus, perimeter of the base = x + x + x = 3x
Height of the base = h = 4 times x = 4x
Thus, we get:
Lateral area of the prism = [tex]3x \times 4x = 12x^2 \: \rm inch^2[/tex]
Thus, The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]
Learn more about lateral surface area of a prism here:
https://brainly.com/question/9656717
Awnser:
B: 12x (2) <----- (squared) square inches
Step-by-step explanation:
edge 2023
Brainliest to whoever can answer this question the best + 50 pts.
Solve the system of linear equations BY ELIMINATION. Show a step-by-step process.
3x - 2y = -2
5x - 3y = -4
[tex]\\ \tt\hookrightarrow 15x-10y=-10--(3)[/tex]
[tex]\\ \tt\hookrightarrow 15x-9y=-12--(4)[/tex]
Subtracting
[tex]\\ \tt\hookrightarrow -y=+2[/tex]
[tex]\\ \tt\hookrightarrow y=-2[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 3x+4=-2[/tex]
[tex]\\ \tt\hookrightarrow x=-2[/tex]
Answer:
x = -2 and y = -2
Explanation:
Given equations:
3x - 2y = -2
5x - 3y = -4
---------------------
Make the value before y equal:
( 3x - 2y = -2 ) * 3
9x - 6y = -6 .........equation 1
( 5x - 3y = -4 ) * 2
10x - 6y = -8 ...........equation 2
solve them by elimination:
10x - 6y = -8
-9x + 6y = +6
----------------------
x = -2
If x is -2
Then y:
10x - 6y = -8 .................from equation 2
-6y = -8-10x
y = [-8 - 10(-2)]/-6
y = -2
approximate the square root of 110
Answer:
10.4880885 or 10.5
Step-by-step explanation:
The square root of 110 is a decimal ... 10.4880885
If we round up it will be 10.5
Answer:
10.488 to nearest thousandths
Step-by-step explanation:
If you mean using a calculator, sqrt(110) is approximately 10.488.
If you mean by hand (unlikely), there are methods such as Newton-Raphson method that converge quite quickly (after around 10 iterations it's basically no different than your calculator)
1) Each student has 2 shoes. How many shoes are there for 8 students?
Answer:
16 shoes
Step-by-step explanation: If every student has 2 shoes and you want to know how many shoes for 8 students. Then you do 8 times 2 which is 16 shoes for 8 students. Hope this helps
X+4,x+12,x-1 and x+5 are in proportion.find the value of x
Answer:
Step-by-step explanation:
As they are in proportion,
x +4 : x +12 :: x -1 : x + 5
Product of means = Product of extremes
(x + 12)(x -1) = (x +4)(x+5)
Use FOIL method for polynomial multiplication
x*x + x*(-1) + 12*x + 12*(-1) = x*x + x*5 + 4*x + 4*5
x² - x + 12x - 12 = x² + 5x + 4x + 20
Combine like terms
x² + 11x - 12 = x² + 9x + 20
x² + 11x - 12 - x² - 9x - 20 = 0
Combine like terms
x² - x² + 11x -9x -12 -20 = 0
2x - 32 = 0
2x = 32
x = 32/2
x = 16
Mrs. Koch is Improving in her Golf Game. She makes about 60% of her putts.
If she has 10 putts, what is the
Probability she makes all of them?
Answer:
most likely / 16 2/3
Step-by-step explanation:
60% = 10
60/10 = 100/x
x= 50/3
50/3 = 16 2/3
Factor: 10m^3 + 12m^2-35m -42
we are doing factoring trinomials and factor by grouping
Answer:
( 5m + 6 ) ( 2m² - 7 )
Step-by-step explanation:
please refer the image
This is due tomorrow and I don't know, what is 5/7 of 28? or how to solve itttt
Answer:
answer is 20
Step-by-step explanation:
5/7 of 28
5/7×28= 20
hope it helps
An old light bulb uses 60 watts of power, but a new LED bulb uses only 9 watts. What is the percent change?
Answer: 85%
Step-by-step explanation:
Percent of change formula is (old - new / old) * 100
So then you input the numbers
60 - 9
——— *100
60
51
— *100
60
= 0.85(100)
85%
Hope this helps!
What is the equation of the line?
Answer: 5x + 4y - 6 = 0
Step-by-step explanation:
Find the slope of the line by finding 2 points that are on the line
(-2,4) and (2,-1)
(4--1)/(-2-2) = 5/-4
y = -5x/4 + c
Substitute (2,-1)
-1 = -10/4 + c
6/4 = c
So the equation is y = (6-5x)/4
4y = 6-5x
5x + 4y - 6 = 0
(Side note: So many people are asking about line equations)
NEED HELP ASAP DUE SOON!!!!
Answer:
Step-by-step explanation:
We can easily get 'a' in the equation by setting x to zero which will get rid of the b variable leaving us with:
a = 2
Now for b, we know the second point is (1,6), so let's plug it into the function
6 = 2 * b^1
b = 3
Thus the function is [tex]y = 2*3^{x}[/tex]
Hope that helps!
Y=2x
Y= 3x -10
What is the solution to the system of equations?
Enter as an ordered pair
( , )
Answer:
( 10,20 )
Step-by-step explanation:
Y=2x
Y= 3x -10
What is the solution to the system of equations?
2x=3x-10 *combine like terms*
-1x= -10 x=10 *divide*
Y=2(10) y=20 *plug in for y into other equation*
CHECK:
plug both x and y into both equations to get a true statement.
Y=2x 20=2(10) 20=20
Y= 3x -10 20= 3(10) -10 20=20
Rosenfeld enjoys a delicious meal at BJs, and the bill comes back at $24.50. The service was amazing, so she wants to leave a 25% tip. How much do you pay total (bill and tip together)?
Answer:
30.62
Step-by-step explanation:
24.50 x .25 = 6.12
24.50 + 6.12 = 30.62
first responder gets
Step-by-step explanation:
Storage facility => 12x²y³ • 4x⁴y²
Storage facility => 48x⁶y⁵
[tex]\implies \: \frac{12 {x}^{6} {y}^{ - 4} z {}^{2} }{3x {}^{2} {y}^{ - 6} z {}^{3} } \\ \implies \: 4( {x}^{6 - 2} ) \times ({y}^{ -4 + 6} ) \times( {z}^{2 - 3} ) \\ \implies \: 4 {x}^{4} \times {y}^{2} \times {z}^{-1} \\ \implies \: \frac{4 {x}^{4} {y}^{2}}{z} [/tex]
Which is the one of the correct formula of T.S.A of cylinder with himsphere *
πr(3r+h)
3πr^3+2h
πr(3r+2h)
Answer:
[tex]\pi \: r(3r + 2h) \: is \: the \: answer[/tex]
How much paneling needs to be removed?
I'll draw it for you cause im nice. (Blue bit is the part we dont have paneling on).
So the the total surface area of panelling needed to remove will be (8 x 6 1/2) x 2 = 104. And also 3 x 8 x 2 = 48. So total surface area = 152. So its 152ft^2
=A
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius!
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Members of a lacrosse team raised $1793.50 to go to a tournament. They rented a bus for $757.50 and budgeted $64.75 per player for meals. Write and solve an equation which can be used to determine
x
x, the number of players the team can bring to the tournament.
Answer:
They can bring 16 students to the tournament
Step-by-step explanation:
$1793.50 - $757.50 = 1063
$1063 / $64.75 = 16
Answer:
16 students
Step-by-step explanation:
Hello :)
This question gave us a flat charge of 757.50 dollars for the bus, which means it does not depend how many members of the lacrosse team ride the bus.
However, the meals cost 64.75 per member.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 1783.50, so the equation would be:
1793.50=64.75x+757.50 where x=the number of players the team can bring to the tournament without going outside of their budget
Let's solve now.
1793.50=64.75x+757.50
-757.50 -757.50
1036=64.75x
x=16
questions in the photos. 40 points if you answer correctly.
Answer:
V
Step-by-step explanation:
The point in the question is U
When reflected in the x-axis, it becomes W
When W is reflected in the y-axis, it becomes V
Answer:
U
Step-by-step explanation:
the answer is U because -6.5 is negative and 1 is positive
For problems 12-17, write each number as a percent.
Answer: There's not picture????? or Queston
Step-by-step explanation:
Trina runs 4 laps around a park. each lap is 1/3 of a mile. trina wants to know how many total miles she runs
Answer:
1 1/3 miles
Step-by-step explanation:
4 laps times 1/3 mile per lap equals 1 1/3 miles
Answer:
1 1/3 mile(s)
Step-by-step explanation:
Multiply laps by miles: 4 times 1/3
= 4/3 or 1 1/3
Daniel and Saquon are each saving money.
Daniel starts with $50 in his savings account and adds $8 per week.
Saquon starts with $65 in his savings account and adds $5 each week.
QUESTION: After how many weeks will Daniel and Saquon have the same amount of money in their savings account?
please help, quick, this is my last question
Answer:
5/2 I think bec a was moved to 1/1 before it was 6/3
Find m CF
44
D
5
-52
Answer:
Step-by-step explanation:
Answer:
148°
Step-by-step explanation:
The external angle at E is half the difference of the measures of arcs FD and FC.
(CF -44°)/2 = 52°
CF -44° = 104° . . . . multiply by 2
CF = 148° . . . . . . . . add 44°
The measure of arc CF is 148°.
Marshall scored 80 on his first quiz and 70 on his second quiz. What was the percent of decrease in his scores?
Answer:
12.5% Decrease
Step-by-step explanation:
(10/80)*100
HELP 20 POINTS!!!!!!Using the equation y = 3x – 5, what would the output be for an input of 4?
3
7
-3
-5
Answer:
7
Step-by-step explanation:
3(4)=12
12-5=7
A phone line runs east along a field of 1 miles and then north along the edge of the same field for 3 miles. If the phone line cost 3500 per mile to install, how much could have been saved if the phone line had been installed diagonally across the field?
Answer:
nsnenenenwnneennenewnw
which is greater 4/9 or 12/18
Answer:
12/18
Step-by-step explanation:
4/9 = 0.4444....
12/18 = 2/3 = 0.66666....
HELP FAST PLS YOU GUYS
Answer:
Function increase (-4,inf)
Step-by-step explanation:
cause it increases as the it rises from left to right
I’m so sorry i Don’t know the answer I would help if I could
At the local bakery Ariel bought 2 oatmeal cookies for $1.50. Mei bought 1/2 dozen oatmeal cookies for $4.50. Becky bought 8 oatmeal cookies for $6.00 what does the point (1,0.75) represent in...
Answer:
Its proportional because when you divide each oatmeal bought and the amount you will end up with .75
Which expression Is equivalent to x^2+10x+24
Answer:
(x+4)(x+6)
Step-by-step explanation:
First we factorise:
x²+4x+6x+24
x(x+4)+6(x+4)
(x+4)(x+6)
So the last one is equivalent
Answer:
(x+4)(x+6)
Step-by-step explanation:
Pls answer this I need it
Answer:
f = 42 , q = 127
Step-by-step explanation:
3f + 1 and 127 are alternate angles and are congruent , so
3f + 1 = 127 ( subtract 1 from both sides )
3f = 126 ( divide both sides by 3 )
f = 42
q and 127 are corresponding angles and are congruent , so
q = 127
BTW I like ur name hahahah
Have great day.