(05.06 LC)The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 8 units and its width is 5 units.
104 units²
132 units²
152 units²
168 units²
Answers
Answer:
C. 152 units²Step-by-step explanation:
Total surface area is the area of the net.
The rectangles have area:
8*(5 + 6 + 5) = 128 units²The triangles have area:
2*(1/2*6*4) = 24 units²Total area is:
128 + 24 = 152 units²Correct choice is C
Answer:
C. 152 square units
Step-by-step explanation:
I'll do the rectangles first because they are the easiest.
8(5)=40. There are 2 of those rectangles, so multiply by 2: 80.
6(8)=48. Add that to 80, you get 128.
The two triangles actually make a rectangle, so to save work, just multiply the base by the height: 6(4). You get 24.
Add them all up, and you get 152.
Hope this helps!
Related Questions
The function graphed to the left is
function.
and continues
The curve has
infinitely in one direction.
each
Each y-value is
corresponding x-value.
Answers
Answer: There is a circular
Step-by-step explanation:
Answer:
he function graphed to the left is
✔ a square root
function.
The curve has
✔ one distinct endpoint
and continues infinitely in one direction.
Each y-value is
✔ the square root of
each corresponding x-value.
Step-by-step explanation:
Dan invests £13000 into his bank account. He receives 4.7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate.
Answers
Step-by-step explanation:
SI = PxTxR/100
SI= (13000)(6)(4.7)/100
SI = 366600/100
SI= 3666
Type your response in the box. Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answers
Answer:
Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Step-by-step explanation:
This answer is from Plato.
vedanta Excel In Opt. Mathematics - Book 9
Find the locus of a point which moves so that
(a) Its distance from (1, 2) and (2, -3) are equal.
Answers
The gradient of the line between (1,2) and (2,-3) is (-3 - 2)/(2 - 1) = -5
The perpendicular gradient = -1/-5 or 0.2
The midpoint between (1,2) and (2,-3) is ((1+2)/2,(2+-3)/2) = (1.5, -0.5)
Substituting into y=mx + c
-0.5 = 0.2 x 1.5 + c
-0.5 = 0.3 + c
c = -0.5 - 0.3 = -0.8
So the locus is the line y = 0.2x - 0.8
evaluate f(3) if (x) = -4x+5
Answers
Answer:
-7
Step-by-step explanation:
PLS HELP ASAP!
which of the follwing expressions is equvialent to:
*image below*
Answers
Answer:
A
Step-by-step explanation:
simplify equation A
then you will get same as the expression above
18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2
Answers
Answer:
B
Step-by-step explanation:
When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function
With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it
Thus;
f(x) = x^2 would be;
g(x) = (x-4)^2
Corresponding to a shift to the right of upto 4 units on the x axis
Answer:
g(x)= (x-4)^2
Step-by-step explanation:
Plato/Edmentum
Someone help me please I’m exhausted & struggling
Answers
Answer:
Step-by-step explanation:
5 (RootIndex 3 StartRoot x EndRoot) + 9 (RootIndex 3 StartRoot x EndRoot)
Answers
Answer:
C. 14 RootIndex 3 StartRoot x EndRoot)
Step-by-step explanation:
To obtain the sum ; the a clear explanation has been attached in the picture below ;
not a school-related question:
Best places to get ripped jeans or just skinny/curvy jeans
Answers
Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.
Step-by-step explanation:
the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room?
Answers
Answer:
13 feet
Step-by-step explanation:
the width = 234/18 = 13 feet
The sum of 36 and three times a number is 18 find the number
Answers
Answer:
x = -6
Step-by-step explanation:
sum means +
36 + 3x = 18
3x = 18 - 36
3x = -18
x = -6
Answer:
Step-by-step explanation:
36 + 3x = 18
subtract 36 from both sides
3x= -18
divide by 3
x = -6
Gabe went out to lunch with his best friend. The bill cost $16.40 before tax and tip. He paid a 9% tax and he left a 20% tip. How much did Gabe spend?
Hint: Tax and tip are both based on the original cost of the bill.
Don't forget to round to the nearest cent!
Answers
Explanation: First you want to take 9 percent of $16.40 using the equation 16.40 * 0.09 which is about $1.47. Then take 20 percent of $16.40 using the equation 16.40* 0.2 which is $3.28.
Now do 16.40+1.47+3.28 which equals $21.15
if$3=£2 and Rs. 325=$3, how many pound(£) will be equal to Rs. 39000
Answers
Answer:
Rupees 39,000 are
378.63 Pound sterling
What is the volume of this figure?
Answers
Answer:
276in³
Step-by-step explanation:
First, we can separate this into two separate rectangular prisms. We can add their volumes to get the total volume. I have separated the prisms by the light green lines, as shown in the picture.
For the top one, we have a length of 5 in , width of 3 in, and height of x in. We know that the total height is 10 in, and the bottom height is 6. The top difference is the difference of those two heights, or 10-6= 4 = x. Therefore, the volume of the top prism is 5 in* 3 in* 4 in = 60 in³
For the bottom prism, we have a length of 12 in, height of 6 in, and width of 3 in (this is the same, as the 3in from the top prism matches with the width of the of the bottom prism), making our volume 12 in * 6 in * 3 in = 216 in ³.
We can then add 216 in ³ and 60 in³ to get 276in³ as our total volume
HI I really need help with this its in the picture
Answers
Explanation:
The blue rectangle has area of 4a^2*6a^2 = 24a^4
The red rectangle has area 4a^2*9a = 36a^3
The green rectangle has area 4a^2*3 = 12a^2
The total area is 24a^4 + 36a^3 + 12a^2
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
Answers
find the highest common factor and lowest common multiple of 152 and 266
Draw a factor tree for each
Answers
Answer:
the highest common factor of 152 and 266 is 38 and the lowest common multiple is 1064
Answer:
Explanation is in the attachment
hope it is helpful to you
I NEED HELP SOMEONE HELP ME OUTTT!!
Answers
will give BRAINLIEST ! plz help
Triangle ABC has A (-3, 6), B (2, 1), and C (9, 5) at its vertices.
The length of side AB is
A. (50)^1/2
B. (65)^1/2
C. (105)^1/2
D. (145)^1/2
units.
The length of side BC is
(one of the above options)
units.
The length of side AC is
(one of the above options)
units.
A. 55.21
B. 85.16
C. 105.26
D. 114.11
Answers
Answer:
AB= A. (50)^1/2
BC= B. (65)^1/2
AC= D. (145)^1/2
<ABC≈ 105
Ed buys a box of eggs costing £2.40, two packs of bacon for £2.60 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?
Answers
Answer:
£0.80
Step-by-step explanation:
1 box of eggs: £2.40
2 packs of bacon: 2 * £2.60
2 tins of baked beans: 2x
Change: 80p
Total = 2x + £2.40 + £5.20 + £0.80
Total = 2x + £8.40
2x + £8.40 = £10
2x = £1.60
x = £0.80
Answer: £0.80
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answers
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
Find the measure of the indicated side
Answers
Answer: X = 8
Step-by-step explanation:
Don't squeeze. Fiver shoppers buy Charmain toilet paper. One charmin out of 10 in this batch is defective-its unsqueezable. You want to save every one from this catastrophe, so you stop them at the door and ask to squeeze their charmin. After squeezing 5 rolls, what is the possibility that you have located 1 or more defective charmins? Hint start off with the chance that you squeezed no defective rolls.
Answers
Answer:
The probability of finding aleast one or more defective charmins = 0.40951
Step-by-step explanation:
The probability of not finding a defective charmin = 1
probability of finding defective charmain = 1-0.1 =0.9
The probability of not finding all five defective item =
Then,
probability of not finding all five defective item=0.59049
Thus,
The probability of finding atleast one or more defective chairmins = 1-0.59049
Therefore,
The probability of finding atleast one or more defective chairmins =0.40951
What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?
Answers
=========================================================
Explanation:
The 90 degree counterclockwise rotation rule we use is
[tex](x,y) \to (-y,x)[/tex]
the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.
After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.
----------------
Extra info (optional section):
Define the following three points
A = (0,0)
B = (8,4)
C = (-4,8)
Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.
Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.
Which of the following is an arithmetic sequence
Answers
Answer:
First one.
-3 is added to the previous term.
Help please!! 1. Solve the system of equations.
x + 5y = 3
3x - 2y = 6
Answers
Answer:
x = 9/2 y = 0
Step-by-step explanation:
2/3x + 5y = 3 5y = -2/3x + 3 y = -2/15x + 3/5
4/3x - 2(-2/15x + 3/5) = 6
4/3x + 4/15x - 6/5 = 6
8/5x - 6/5 = 6
8/5x = 36/5
x = 9/2
2/3(9/2) + 5y = 3
3 + 5y = 3
5y = 0
y = 0
what is asked in the problem
Answers
Answer:
what's the question?
Step-by-step explanation:
and the problem?
Answer:
Please could you add some more info.
Thank you
can you help me with this question please?
Answers
Answer:
(1, -3)
Step-by-step explanation:
You can see where the two lines intersect - that's the solution.
what is circle graph or pie chart?
Answers
Answer: read below
Step-by-step explanation:
A circle graph is a graph showing proportions of thing that label the person by using different colours