Answers
The lateral surface area of the triangular prism is
Explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
LSA = (a + b + c)h
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here: a = 5, b = 10,c = 8 and: h = 16.5
Substituting these values in the formula, we have,
LSA = (5 + 10 + 8) 16.5
Simplifying, we get,
LSA = (23) 16.5
Multiplying, we get,
LSA = 379.5
Thus, the lateral surface area of the triangular prism is,
379.5sq. units
Related Questions
the question is on the sheet.
Answers
area of the whole figure
[tex] = (x + 1)(2x + 3) \\ = x(2x + 3) + 1(2x + 3) \\ = 2 {x}^{2} + 3x + 2x + 3 \\ = {2x}^{2} + 5x + 3[/tex]
area of the unshaded region
[tex] = x(2x) \\ = {2x}^{2} [/tex]
area of the shaded region
[tex] = {2x}^{2} + 5x + 3 - {2x}^{2} \\ = ( {2x}^{2} - {2x}^{2} ) + 5x + 3 \\ = 5x + 3[/tex]
THEREFORE,
THE AREA OF THE FRAME IS C. 5x + 3
A store sells posters for $12.50 each and picture frames for $30.00 each. One day, the store sells a total of 32 posters and
picture frames combined for a total of exactly $645.00.
How many posters and picture frames does the store sell on that day?
O 13 posters and 16 picture frames
14 posters and 18 picture frames
16 posters and 16 picture frames
18 posters and 14 picture frames
Answers
Answer:
D
Step-by-step explanation:
Answer:
option D: 18 posters and 14 picture frames
Step-by-step explanation:
It isn't the first one because it doesn't have a total of 32 combined sales
It isn't the second because the total money is $715.00
It isn't the third because the money totals out to $680.00
The answer is the fourth option because the total product sold is 32 and the total money earned is $645.00
A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?
Answers
Answer:
$569.50
Step-by-step explanation:
15% deduction from the initial price(100%) will have us remaining with 85%
100% = 670
85% = 85% x 670
100%
= $569.50
ok how is every ones day ok what is 12345 times 23456=
Answers
PLEASE HELP ASAP!!!!!! HELP ME PLEASE!!!!!
Answers
Answer:
m∠A = 74°
m∠T = 32°
Step-by-step explanation:
m∠A must be m∠C due to symmetry.
m∠C + m∠A + m∠T = 180° because it's a triangle.
m∠T = 180 - m∠C - m∠A = 32
Members of a baseball team raised $1199.50 to go to a tournament. They rented a bus for $830.50 and budgeted $30.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answers
Answer:
The team can bring 12 players to the tournament.
Step-by-step explanation:
With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:
c=830.50+30.75x, where:
c is the cost of going to a tournament
x is the number of players
Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:
1199.50=830.50+30.75x
1199.50-830.50=30.75x
369=30.75x
x=369/30.75
x=12
According to this, the answer is that the team can bring 12 players to the tournament.
A large helium balloon is tethered to the ground by two cables. One cable is 100 feet
long and forms an 80 o angle with the ground. The second cable forms a 40 o angle
with the ground.
Answers
Answer:
what are we supposed to enswer
Step-by-step explanation:
What is the rate of change of the function y= -7?
Answers
Answer:
Zero
Step-by-step explanation:
Average rate of change can also be called as gradient or change in the respective variable , in this case we need the average rate of change of y which has the function y = -7
Since this is a linear function and if we draw the graph of y = -7 the graph would be parallel to the x-axis, and any line parallel to the x-axis has slope of zero , hence the average rate of change of the function y = -7 is zero
help plzzzz ill give extra points
Answers
Answer:
12x
16x, 320
20
Step-by-step explanation:
Hope this helps
Total equation ,
[tex]\displaystyle\sf\to 4x+\boxed{\sf 12}x=\boxed{\sf 320}[/tex]
[tex]\displaystyle\sf\to \boxed{\sf 16}x=\boxed{\sf 320}[/tex]
[tex]\displaystyle\sf\to x =\boxed{\sf 20}[/tex]
no one is answering i need help asap
Answers
Answer:
32t + 72
Step-by-step explanation:
8(4t+9)
4t(8) + 9(8)
32t + 72
Answer:32t+72
Step-by-step explanation:
fine the slope (2, 6), (–8, 11) *
A) m = -2/1
B) m = 1/2
C) m = -1/2
D) m = -2
Answers
A website rents new-release movies for $3 and older movies for $2. The revenue, r, of the website can be represented by the equation r = 3n + 2m, where n is the number of new-release movies rented and m is the number of older movies rented. Last month, the revenue was $6,840 and 1740 new release movies were rented Enter the number of older movies that were rented by solving for m.
m =
Answers
Answer:
[tex]m=810[/tex]
Step-by-step explanation:
[tex]r=3n+2m[/tex]
Where
[tex]r=6840\\n=1740\\m=?[/tex]
[tex]6840=3(1740)+2m\\6840=5220+2m\\6840-5220=5220+2m-5220\\1620=2m\\\frac{1620}{2} =\frac{2m}{2} \\m=810[/tex]
Answer :[tex]m=810[/tex]
PLEASE MARK ME AS BRAINLIEST
The price of a ticket, in dollars, on the local commuter train can be determined from the expression 2.75 + 0.50(s), where s is the number of stops for which the passenger will be on the train. Use this expression to find the price of a ticket to ride the train for 13 stops.
Answers
Answer:
$9.25
Step-by-step explanation:
2.75+ .5(13)
.50 (13)= 6.5
6.5 +2.75= 9.25
Can some help ?? I’ll give brainliest
Answers
Answer:
d
Step-by-step explanation:
the answer is d.
pemdas
you multiply the #s in the parenthasese first. so u get 3times x wich is 3x and six times three wich is 18
882372900083018x454
teheheh come here
Answers
Answer:
22otvllslsbbegf. 23+15
Step-by-step explanation:
The price of a leather coat is $150.00 plus 8% sales tax. What is the sales tax on the leather coat?
Answers
Answer:
$12
Step-by-step explanation:
To find this, you just need to find 8 percent of 150. You can do this by multiplying 150 by .08, or multiplying 150 by 8/100.
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answers
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
Which equation best represents the relationship between x and y in the graph?
y
A. O y = 4x - 1
B.Oy = 12-1
C.
y = 4x + 1
DO g =
1x +1
Answers
u3uwi2i2i3ij3j3ui
Step-by-step explanation:
ii3jj3i3i3i3i3i3ii3u3ieu so
Help mee cuz if you help me I will give you brain last
Answers
Answer:
it is c
Step-by-step explanation:
A parabola had a vertex at (3,4) and passes through the point (5,-4) what is the standard form equation for the parabola.. help pleasee
Answers
Answer:
i need help on this one aswell
Step-by-step explanation:
noooooooooooo
pls
someone help us on this question
A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?
Answers
Answer:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Step-by-step explanation:
Regular price of a pair of shoes = $[tex]x[/tex]
Discount offered = 20%
Amount of discount offered = 20% of $[tex]x[/tex]
Discounted price = Regular price - Amount of discount
Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]
Now, it is given that there is a sales tax of 7% as well on the price.
Sales tax is applied on the discounted price.
Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]
Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]
[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]
[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]
Therefore, the expression to represent the final price of the pair of shoes:
[tex]\$ \ \dfrac{428}{500}x[/tex]
What is the answer to 8w+56?
Answers
Answer:
What is w equal to?
Step-by-step explanation:
$1.29 + $2.52+$2.23+$1.50.
please help
Answers
Answer:
$7.54
Step-by-step explanation:
Answer:
$7.54
Step-by-step explanation:
you solve by adding all the money together
-7(2x-3) equivalent expression
Answers
Answer:
-14x+21
Step-by-step explanation:
-7(2x-3)
-14x+21
Answer:
-14x+21
Step-by-step explanation:
I need help please thank you
Answers
Answer:
its b i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
They can't add 5 into it because they are not like terms if it was 5h instead then yes you could but it is just 5.
Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression
213 +35
Answers
Answer:
7 and 21
Step-by-step explanation:
Price of Rope
3 The amount a hardware store pays for buying nylon rope
is represented by the equation y = 0.12%, where y is the
price it pays for x feet of rope. The amount the hardware
store charges when selling the rope is represented by
the graph
The profit the store makes on the rope can be found by
subtracting the amount it charges for the rope from the
price it pays for the rope. If the store sells 80 feet of rope,
how much profit does it make on that rope?
Show your work.
y
A
1.80
1.60
1.40
ū1.20
8 1.00
0.80
0.60
0.40
0.20
0 1 2 3 4 5 6
Length (ft)
Answers
Answer:
The answer is 2.25 that makes profit
Step-by-step explanation:
Please help !!
-
Omar buys stuffed animals for $4 each. He sells them for $7 each. Is this a markup of markdown situation? What is the percent profit?
Answers
Answer:
This is a markup situation, since the price increased. The percent of profit would be 75% because 7-4=3, 3/4 = 75%
Pleeeeeaaaasee help
The difference of a number and 8 is 46 less the number. Find the number
Answers
Answer:
54
Step-by-step explanation:
what u gotta do is add 46 with 8 and you can check my answer with 54-46=8
difference means you subtract
sum means you add
product means you multiply
and quotiant means you divide
The required number is 27.
Given that,
To determine the number the difference of a number and 8 is 46 less than the number
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27
Thus, the required number is 27.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answers
Answer:
75
Step-by-step explanation: