If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?
Answers
The coordinates of the six vertices of the prism are listed below:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:
[tex]n = 2\cdot s[/tex] (1)
Where [tex]s[/tex] is the number of sides of the base.
If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:
[tex]n = 2\cdot 3[/tex]
[tex]n = 6[/tex]
A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]We kindly invite to check this question on prisms: https://brainly.com/question/8828506
Related Questions
124/72 simplified is?
Answers
Answer:
31/18
Step-by-step explanation:
Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?
options
2 2/3
4
5 1/3
12
Answers
Answer:12
Step-by-step explanation:
3 divided by 2 = 1.5
1.5x8=12
He used 12 cups of water
Have A Good Day
Which statement represents the expression?
24−8÷4
A.24 minus 8 divided by 4
B.the difference of 24 and 8 divided by 4
C.24 minus the quotient of 8 divided by 4
D.24 minus 4 divided by 8
Answers
Answer:
Which statement represents the expression?
24−8÷4
A. 24 minus 8 divided by 4
B. the difference of 24 and 8 divided by 4
C. 24 minus the quotient of 8 divided by 4
D. 24 minus 4 divided by 8
The answer is a. 24 minus 8 divided by 4
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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]
Hope it is useful...The deepest point in the world is the Mariana Trench in the western Pacific Ocean. It is 36,198 ft below sea level. What integer represents this depth?
Answers
Answer:
-36,198 feet below sea level
Step-by-step explanation:
13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..
A. yes: 3
B. yes: 4
C. yes: 3
D. no
Answers
Answer:
I think the answer is c
A line that passes through the points (12,12) and (20,6)
Answers
Answer:
8,48 I think
Step-by-step explanation:
I subtracted them from each other
The required equation of the line is given as y = -6x / 8 + 21.
Given that,
A line that passes through points (12,12) and (20,6)
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Standard equation of the line,
y -y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21
Thus, the required equation of the line is given as y = -6x / 8 + 21.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Explain how each location given in the table is related to the origin.
Answers
Refer to the attachment
Which number should come next at the end of this series: 1/2, 4, 1/8, 16, _?
Answers
Answer:
1/32
Step-by-step explanation:
What is the answer to 4/5w = 8
Answers
Answer:
w = 10
Step-by-step explanation:
[tex]\frac{4}{5}w=8~(Given)\\\\\frac{5}{4}(\frac{4}{5}w)=\frac{5}{4}(8)~(Multiply~5/4~on~both~sides)\\\\w=10~(Simplify)[/tex]
Answer:7 1/5
Step-by-step explanation:
-4/5 on each side
'and you get w= 7 1/5
What is 2* 5 equal to?
Answers
Answer:
32
.......................................
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under
the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
р
Answers
Answer:
The answer is <-2
Step-by-step explanation:
Answer: I'm late but here you go
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=59(0.59)^x
what is the % increase
Answers
Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
2x - 5y = 6 and -2x + 7y = 14
*Using elimination*
Answers
2y = 20
y= 10
2x-5(10)=6
2x= 56
x= 28
g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)
Answers
Step-by-step explanation:
f(x) = 0
-2x + 2x is always 0.
so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.
long proof :
g(x) + f(x) = 2x + -2x + 2x = 2x
5.You are driving at a constant speed of 20 m/s when you suddenly hit a patch large oil slick. You slam on the brakes and eventually skid to a complete stop. The skid marks are 40 meters long. Calculate the coefficient of kinetic friction between the oil-covered road
and the car tires.
Answers
The coefficient of kinetic friction between the oil-covered road
and the car tires. is 0.51
To solve this question, we would consider one of the equations of motion.
v² = u² + 2as, where
v = final velocity, which is also equal to 0
u = initial velocity, which is 20m/s
s = skid marks, which is 40 meters long
a = acceleration, which is unknown
0² = 20² + 2*a*40
0 = 400 + 80a
80a = -400
a = -400/80
a = -5 m/s
Also, it is known that acceleration a = (mu)g, where mu is the coefficient of kinetic friction and g is the acceleration due to gravity.
-5 = mu * 9.8
mu = -5/9.8
mu = 0.51
learn more about equations of motion here https://brainly.com/question/16878713
Show this situation on a vertical number line
Answers
what is the situation to your question
Answer:
What is the situation?
Step-by-step explanation:
Write a function in any form that would match the graph shown below
Answers
Answers:
Vertex form: y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6Pick whichever form you prefer.
=============================================================
Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.
Answers
9514 1404 393
Answer:
8,500 units
Step-by-step explanation:
The contribution margin from each unit is ...
$185 -121 = $64
To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...
($416,000 +128,000)/($64/unit) = 8,500 units
Jacob travels to the shops 5 miles from his home, then he travels to the
post office 3 miles from the shops. Afterwards he travels home. What is
the total distance Jacob traveled? What is the total displacement of
Jacob?*
Distance 8 miles : Displacement 8 Mlles
Distance 16 Miles: Displacement 0
Distance 8 Miles: Displacement 8 Miles
Distance 6 miles : Displacement 8 miles
Answers
Answer:
[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]
Step-by-step explanation:
Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.
Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.
Hope it helps :) and let me know if you want me to elaborate.
a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.
Answers
Answer:
More cups
Step-by-step explanation:
Cups are a smaller measuring unit than gallons are. Therefore it would take more cups than gallons to fill a pot.
solve pls brainliest
Answers
Answer:
w=2.5
Step-by-step explanation:
divide 12.5 by 5: 12.5/5=2.5, so w=2.5
Answer:
2.5
Step-by-step explanation:
To solve for something you want to get it alone on one side. To do this for this problem you want to divide both sides by 5. This comes out to 2.5
what is the awnser to this question (w2x−3)÷10·z when w=−4, x = 0.8, and z=−45
k12
Answers
(-4x2x0.8-3)=-9.4
-9.4/10=-0.94
-0.94x-45=42.3
Will mark brainliest, pls help
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
s = c(w + rh)
s = c(w − rh)
s = w + rh/c
s = w − rh/c
Answers
Answer:
None of the answer options are correct
Step-by-step explanation:
cs + rh = w
cs = w - rh
s = (w - rh)/c
The second one could be corrected by exchanging c with 1/c
The last one would be correct with judiciously applied parentheses.
The first and third have too many errors to even bother trying to correct.
answer could also be written
s = w/c - rh/c
but it is not considered reduced form.
9514 1404 393
Answer:
(d) s = (w − rh)/c
Step-by-step explanation:
Undo what is done to the variable. It is multiplied by c and rh is added to that product.
cs +rh = w . . . . . given
cs = w -rh . . . . . undo the addition of rh: add -rh to both sides
s = (w -rh)/c . . . . undo the multiplication by c: divide both sides by c
_____
Additional comment
Each entire side of the equation is divided by c. That means the entire expression (w-rh) is divided by c. It is incorrect to write that division as w-rh/c. The division bar (/) in plain text only refers to the immediately preceding and the immediately following tokens as its operands. When the expression is typeset, the division bar serves as a grouping symbol, showing you the entire numerator.
[tex]s=\dfrac{w-rh}{c}[/tex]
What is 3 4/5÷(−1 1/10)?
Write the answer as a mixed number in simplest form.
Answers
I converted -11/10 to -1 1/10
Then I did 3 4/5 divided by it
Hope I help pls answer the quizzzz
ITS 100 POINTS!!!! AND DO IT IN A STEP BY STEP EXPLAINATION.
A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 2) is on the graphed line.
Part A: What is the price of 1 pound of cabbage? Show your work. (8 points)
Part B: What does the ordered pair (10, 4) on the graph represent? Explain in words. (2 points)
Answers
Answer:
part a: If x represents the number of pounds of cabbage and y represents the price in dollars, then (5, 2) means that 5 pounds of cabbage costs $2.00. If that is true, then 1 pound of cabbage will cost $0.40. (divide both values by 5)
The ordered pair (10, 4) means that 10 pounds of cabbage cost $4.00.
explanation: sorry its late but hope it helps
Rewrite 1/4 barrel 2/5 hour as a unit rate
Answers
Answer:
5/8
Step-by-step explanation:
1/4÷2/5=1/4×5/2=5/8 barrel/Hour
D.Solve the following problems.Show your solution
1.A boy ran a distance of 5.8 kilometers. How many meters did he run?
2. Jose walks 378 meters while Rene walks 0.67 kilometers.What is the difference between the distances which they walked,in centimeters
SHOW YOUR SOLOTION PLSSS
I will ggive u points
sana
Answers
2. 29200 centimeters. there are 100 centimeters in a meter, and 1000 meters in a kilometer, so 0.67x1000 gives you 670 meters, which if multiplied by 100 gives you 67000 centimeters, and if you multiply 378 by 100 you get 37800 centimeters. 67000-37800=29200cm
Help pls
A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −7 1/2 feet per second.
How many seconds, s, will it take for the balloon to drop to below 465 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
Answers
Answer:
s> 144 2/3
Step-by-step explanation:
I took the test in k12 and i got it right so yea !
Answer: the other person was right
Step-by-step explanation:
Rajni bought 2 1/2 kg onion at ₹ 30 1/2 per kg. Find the amount spent by Rajni
Answers
Step-by-step explanation:
Given that
The cost of 1 kg onions = Rs. 30 1/2
The cost of 1 kg onions = Rs. 61/2
If Rajini bought 2 1/2 kg onions then
The total cost of 2 1/2 kg onions
→ 2 1/2 ×( 61/2)
→ (5/2)×(61/2)
→ (5×61)/(2×2)
→305/4
Rs. 305/4 or Rs. 76 1/4
The cost of 2 1/2 kg onions is Rs. 76 1/4.
6. Simplify: -7(3x) + 2(3x – 2). What is the value of the expression if x = 4
Answers
Answer:
its x
Step-by-step explanation:sus?