A prism has an isosceles triangle bases with leg lengths of 5 inches 5 in and 8 inches and a height of 3 in the distance between the bases is 12 in find the surface area show your work
Answers
Answer:
240 Square Inches
Step-by-step explanation:
See the attached diagram
The Isosceles Triangle based prism consists of two triangles of equal area, to rectangles of equal area and the rectangle at the base.
Therefore:
Surface Area of the Prism =Surface Area of Two Triangular Base+Area of three Rectangles
Area of one Triangular Base=0.5 X 8 x 3 =12 Square inches
Area of Rectangle 1=5 x 12 =60 Square Inch
Area of Rectangle 2=5 x 12 =60 Square Inch
Area of Rectangle 3=8 x 12 =96 Square Inch
Therefore:
Surface Area of the Prism=2(12)+2(60)+96
=240 Square Inches
Answer:
240 in²
Step-by-step explanation:
The prism has an isosceles triangle with the following data:
- Two lengths = 5 inches
- Other length = 8 inches
- Height = 12 inches
Since the prism consist of 2 triangle bases and three rectangular faces, the surface area (SA) of the prism can be calculated as follows:
[tex] SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} [/tex]
Where:
[tex]SA_{b1}[/tex] and [tex]SA_{b2}[/tex] are the surface areas of the two triangle bases.
[tex]SA_{f1}[/tex], [tex]SA_{f2}[/tex] and [tex]SA_{f3}[/tex]: are the surface areas of the three rectangular faces.
The surface area of the triangle bases can be calculated as follows:
[tex] SA_{b1} = SA_{b2} = \frac{b*h}{2} [/tex]
Where:
b: is the base = lenght of 8 inches
h: is the height = 3 inches
[tex] SA_{b1} = SA_{b2} = \frac{8*3}{2} = 12 in^{2} [/tex]
Now, we need to find the surface area of the rectangular faces using the following data:
Rectangular face 1 = rectangular face 2:
- One side = 12 inches
- Other side = 5 inches
Rectangular face 3:
- One side = 12 inches
- Other side = 8 inches
Hence, the SA of the rectangular face 1 and rectangular face 2 is:
[tex] SA_{f1} = SA_{f2} = 12*5 = 60 in^{2} [/tex]
And the SA of the rectangular face 3 is:
[tex] SA_{f3} = 12*8 = 96 in^{2} [/tex]
Finally, the SA of the prism is:
[tex] SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} [/tex]
[tex] SA = 2*12 + 2*60 + 96 = 240 in^{2} [/tex]
Therefore, the surface area of the prism is 240 in².
I hope it helps you!
Related Questions
Find the magnitude of WX for W(3, -3, 1) and X(8, -3, -6)
Answers
Answer:
Step-by-step explanation:
[tex]WX=\sqrt{(8-3)^2+(-3+3)^2+(-6-1)^2 } \\=\sqrt{25+0+49} \\=\sqrt{74}[/tex]
Answer:
sqrt 74
Step-by-step explanation:
edge 2020, just did the practice
At Store C, Sam's total purchase came to $16.50 before the discount. After
the discount, he paid with a $20-bill and received $4.82 in changé. Part A What was the mystery discount rate?
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Answer: IDK
Step-by-step explanation:4+4+4+4+4+4+4
What is the solution to the system X-3y=-9 and -3x+9y=12
Answers
Answer:
Step-by-step explanation:
hello : x-3y=-9 ...(*)
-3x+9y=12...(**)
divided (**) by 3 : -x+3y =4 ...(**)
add(*) and(**) : 0=4 ..(false)
no reals solutions
The probability of a chance event is 0.8, it is __________ to happen when compared to a chance event with a probability of 0.9. Select one: equally likely less likely more likely both more and less likely
Answers
Answer:
less likely
Step-by-step explanation:
In the question, we are to choose which of the options best fit into blank space.
Talking about probabilities, the probability of events ranges from 0 to 1. With 1 being the highest value the probability of an event can take while 0 is the lowest value the probability of an event can take. The probability of an event can neither be negative, nor greater than 1. It lies between 0 and 1
Now, the closer a probability is to 1, the greater the likelihood of that particular event happening. Events having probabilities closer to 1 are more likely to occur than those farther away from 1 or closer to zero.
In this question, 0.9 is a greater value compared to 0.8. Thus, an event of probability 0.9 is more likely to happen compared with an event with probability of 0.8
In other words, an event with probability 0.8 is less likely to occur compared with an event with a probability value of 0.9
fill in the table of values for y=2-x
X/ -3 0 5
Y
Answers
Answer:
I put in y = 2-x. I believe that was the equation you asked a table for. If it is another equation please tell me or just download or look up Desmos. Desmos helps create graphs and tables. I hope this helps. Have a great rest of your day!
What is the sum of (2.14x+3.7)+(5+4.9x)?
a. -7.0x+8.7
b.-2.8x+8.7
c.2.8x+8.7
d.7.0x+8.7
Answers
Answer:
D)
Step-by-step explanation:
What is the expected number of female children with three children?
Answers
Answer:
2
Step-by-step explanation:
Andre notices that he is a little taller than Heather, who described her height as h is greater than 150 and h is less than 160 Andre is also shorter than their math teacher who is 164 centimeters tall.
Answers
Answer:
a> ha<164Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Andre notices that he is a little taller than Lin, who described her height as h > and 150 h < 160 but andre is also shorter than their math teacher who is 164 centimeters tall. select the two inequalities that describe andress height
Please have a look at the attached photo.
My answer:
Math teacher's height: 164 cm
Let Andre height is :a
We have Heather height: h
<=> h > and 150 h < 160
<=> 150 < h < 160
=> two inequalities that describe Andres height
a> ha<164Hope it will find you well
O número complexo 3−2
4−3 equivale a um número real.
O valor real de é:
(A) 8
9
.
(B) 9
8
.
(C) 3
4
.
(D) 4
3
.
(E) − 9
8
Answers
Answer:
ASDASD
Step-by-step explanation:
analyzing box plots
Answers
Answer:
see below
Step-by-step explanation:
a
The IQR is the right side of the box minus the left side of the box
6 - 1 = 5 true
b
The range is the right dot minus the left dot
7 - 0 = 7 false
c
Each part of the box is 25% so Between 1 and 4 is 25% false
d
Between the left dot and the line is 25% and the left line and the middle is 25% Between 0 and 4 is 50% of the data
Between 4 and 7 is 50% of the data about 50% have at least 4 pets true
e
Between the left dot and the line is 25% and that is between 0 and 1 pets
true
What happens when there is no outliner on a line plot
Answers
Answer:
the slope is smaller
Step-by-step explanation:
g) 0, 2, 4, 6, 12, ____, 28, ____, 60
Answers
Answer:
14 and 30
Step-by-step explanation:
my reasoning is the values are half of each other
Answer:
14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60
Step-by-step explanation:
The fifth term of an arithmetic sequence is 96. Which rule could define the sequence
An=5n+96
An=6n+18
An=18n+6
An=96n+5
Answers
Answer:
IT'S C
Step-by-step explanation:
mark brainliest !
Answer:
c
Step-by-step explanation:
Question 1 help pls
Answers
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-2}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation of line
What is (2x + 3) to the 2 power
Answers
Answer:
4x² + 12x + 9
Step-by-step explanation:
Simplify. Expand:
(2x + 3)² = (2x + 3)(2x + 3)
Use the FOIL method to solve.
FOIL =
First
Outside
Inside
Last
Multiply:
(2x)(2x) = 4x²
(2x)(3) = 6x
(3)(2x) = 6x
(3)(3) = 9
Combine like terms:
4x² + 6x + 6x + 9 = 4x² + (6x + 6x) + 9 = 4x² + 12x + 9
4x² + 12x + 9 is your answer.
~
Answer:
4x^2+12x+9
Step-by-step explanation:
use FOIL (first, inner, outer, last)
(2x+3)(2x+3)
4x^2+6x+6x+9
then simplify
A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What interest rate is being earned annually on this account?
2.20%
.045%
2.25%
4.5%
Answers
Answer:
D. 4.5%.
Step-by-step explanation:
Interest earned in 6 months = 572.6 - 560 = $12.60.
As a percentage this is (12.60 * 100) / 560
= $ 2.25%.
So the annual interest is 2 * 2.25
= 4.5%.
Answer:
4.5%
Step-by-step explanation:
A stone fell from the top of a cliff into the ocean.
In the air, it had an average speed of 16. In the water, it had an average speed of 3 before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in the air and how long did it fall in the water?
Answers
Answer:
5 seconds.
Step-by-step explanation:
Make an equation.
Time in air = x
Time in water = 12 - x
16x + 36 - 3x = 127
13x = 91
x = 7
12 - 7 = 5
Write p(x) = 21 + 24x + 6x2 in vertex form. p(x) = (x + )2 –
Answers
Answer:
P(X) = (x-7.79)(x+11.79)
Am here
Step-by-step explanation:
The expression is solved using the general formular for quadratic equation.
Attachment shown below for easy articulation of this formula.
Answer:
6
2
3
Step-by-step explanation:
An hour before show time, only 342 people are seated for a rock fest. According to ticket sales, 91% of the people have yet to arrive. How many tickets were sold for the rock fest? Explain your thinking.
Answers
Answer:
3800
Step-by-step explanation:
342 is the 9 percent that have shown up. If you divide that by nine you would get on percent of the total which comes out to be 38. so you multiply 38 by 100 and get 3800 which is 100% of the tickets sold.
An amusement park ride is made up of a large circular frame that holds 50 riders. The
circumference of the frame is about 138 ft. What is the diameter of the ride? Round to the nearest
tenth.
Help Please
Answers
Answer:
The diameter of the ride is 44 feets.
Step-by-step explanation:
We have,
The circumference of the frame is about 138 ft.
It is required to find the diameter of the ride.
The circumference of means that the outer covering of the circle. It is given by the formula as follows:
[tex]C=2\pi r[/tex]
r is radius
Since, 2r = d, diameter of circle
[tex]C=d\pi \\\\d=\dfrac{C}{\pi}\\\\d=\dfrac{138}{3.14}\\\\d=43.94\ ft[/tex]
or
d = 44 feets
So, the diameter of the ride is 44 feets.
how can you determine the x value whether it is in the domain of h
Answers
Answer:
Well, because this is a khan academy question i guess ill be safe to answer it.
0 is in the domain
4 is in the domain
5 is NOT in the domain.
Step-by-step explanation:
If you plug in 5, you are left with
[tex]\frac{4}{5 - 5}[/tex] = [tex]\frac{4}{0}[/tex] = undefined
However, if you plug in any other value in that list, you are left with a number.
Remember, it isn't in the domain if the number is imaginary (like square root of a negative number) or the answer results in an undefined :)
What is the y-intercept of this table?
X
у
-2
80
-1
70
0
60
1
50
2
40
Answers
Answer:
Step-by-step explanation:
The y-intercept exists when x = 0. So where x = 0, from the table we can see that y = 60. The y-intercept for the table is 60.
Answer:
60
Step-by-step explanation:
what is the measure of angle WZY in the given figure?
a.)25°
b.)40°
c.)60°
d.)70°
please help asap!!!!!!!!!!!!!
Answers
Answer:
I'm also trying to figure this out, but I know that the answer isn't 40.
Step-by-step explanation:
Answer:
B. 25 degrees
Step-by-step explanation:
2nd question help plzz
Answers
Answer:
the length of the arc = 4
Step-by-step explanation:
72/360=x/20
360x=1440
x=4
Therefore, the length of the arc = 4
I hope this helped and have a good rest of your day!
Answer:
The answer would be arc=4
Step-by-step explanation:
what is the area of a shape
Answers
Answer:
It depends on what shape your talking about, like: a rectangle - Length multiplied by Width
Step-by-step explanation:
Hope this helped, plz mark as brainiest :)
I WILL VOTE FOR THE BRAINLIEST, I AM GIVING OUT A LOT OF POINT SO PLEASE HELP.
The base of a right triangle is 13 less than 2 times the height. The area of the triangle is 12 square cm. What is the height of the triangle in cm? *
Answers
Answer:
4 cm
Step-by-step explanation:
Base 6 cm
Area 12 cm²
Formula:
h_b = 2 A/b
A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 950 downloads of the song, for a total download size of 3284 MB. How many downloads of the standard version were there?
Number of standard version downloads: ?
Answers
Answer:
560 downloads of standard version downloads.
Step-by-step explanation:
Let there were number of standard version of downloads = x
and number of high quality version of downloads = y
There were total 950 downloads of the both type of songs.
x + y = 950 -----(1)
Size of the standard version songs = 2.8 MB
and the size of the high quality version songs = 4.4 MB
Total download size = 3284 MB
2.8x + 4.4y = 3284
7x + 11y = 8210 -----(2)
Multiply equation (1) by 11 (-) equation (2)
(11x + 11y) - (7x + 11y) = 10450 - 8210
4x = 2240
x = 560
There were 560 downloads of the standard version downloads.
Max is going to order a breakfast platter at the breakfast club he chose one style of eggs one type of meat and one kind of toast the following table shows the options available to him
Answers
Answer: Can you Please Provide The Table?
Then I am Sure I can Get You 100% On this question.
Answer:
48 different breakfast platters
Step-by-step explanation:
Hope this helps!
please help, i need this done asap!
Answers
Answer:
[tex]}\frac{\sqrt{2} }{2}[/tex] or 0.707
Step-by-step explanation:
cos(315) is equivalent to cos ([tex]\frac{7\pi }{4}[/tex])
You can look at the unit circle to find the cos value for this. Keep in mind that cos is the x value of the corresponding coordinate.
Please help me in the question Below.
Am new to this chapter and I don't understand it too well.
Please help me
Answers
Answer:
x is 60°
y is 30°
(would really, reallly appreciate the brainliest)
Step-by-step explanation:
x can be seen as what's needed to do a full 180 ° turn when you already turned 120°
y is 60° bc the sum of all tree angles of a triangle is always 180°
90° are given with the little square, 60 by the similar reasoning as above
Answer:
Step-by-step explanation:
L an M are parallel & P is transversal.
So, 120, x are co-interior angles, ie 180
x +120 = 180
x = 180 - 120
x = 60
The angle vertically opposite to x, will have the same value of x.
Vertically opposite angles are equal
In triangle, sum of angles = 180
60 + 90 + y = 180
150 + y =180
y =180 - 150
y =30