A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between AA and BB is 55 inches.
Answers
The surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
What is of total surface area of the rectangular prism?The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of the prism.
Total surface area of the rectangular prism is calculated with the following formula.
[tex]A=2(lb+bh+lh)[/tex]
Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.
A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A and B is 5 inches.
The length, width, and height of the prism is 5in, 3 in and 4 in long. Put these value in the above formula as,
[tex]A=2(5\times3+3\times4+5\times4)\\A=2(15+12+20)\\A=2(47)\\A=94\rm\; in^2[/tex]
The formula for surface area of one triangle prism is,
[tex]A_t=(a+b+c)l+bh[/tex]
Here, (a,b,c) are the sides of a triangle. The sides of the triangular face are 3 in, 4in and 5 in long. Thus, the surface area of it is,
[tex]A_t=(4+3 +5)5+3\times4\\A_t=(12)5+12\\A_t=72\rm\;in^2[/tex]
For the two triangular prism,
[tex]A_t=2\times72\\A_t=142\rm\; in^2[/tex]
Hence, the surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
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Related Questions
Of 11 possible books you plan to take 4 with you on vacation how many different collections of 6 books can you take
Answers
The number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
Here, in the original problem, the number of book selection is6.
Of 11 possible books, one plans to take 6 with on vacation. The number of different collections of 6 books can be taken has to be found out.
The total number of books=11.The total number of selection of book=6.Thus, the number of combination to select 6 books collection from 11 is,
[tex]^{11}C_6=\dfrac{11!}{(11-6)!6!}\\^{11}C_6=\dfrac{11\times10\times9\times8\times7\times6!}{5\times4\times3\times2\times1\times6!}\\^{11}C_6=462[/tex]
Thus, the number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.
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Cual es la formula para calcular la masa de los atomos de carbono y nitrogeno?
POR FAVOR Y DOY CORONA Y CORAZON
Answers
Answer:
La masa atómica del carbono (C) es 12 g/mol; para el oxígeno (O) es de 16 g/mol. Esto significa que 6.022 x 1023 átomos de carbono pesan 12 gramos. Según esto, el peso molecular del CO2 es: 12 g/mol [C] + 2 x 16 g/mol [O2] = 44 g/mol.
1 molécula de Nitrógeno por su masa atómica de 14.01 más 3 moléculas de Hidrógeno por su masa atómica de 1.008 = (1 * 14.01) + (3 * 1.008) = 14.01 + 3.024 = 43.038 u = 17.03 masa molecular = 17.03 g/mol de masa molar en el amoníaco.
Water flows through a pipe at a rate of 9 quarts every 3.5 years. Express this rate of flow in cups per day. Round your answer to the nearest hundredth.
Answers
Explain
9 quards / 3.5 years (4 cups / 1 quart)( 1 year/ 365 days) = 0.028 cup/ day
You bought one dozen eggs but one-third of the eggs were broken. How many eggs were broken?
(Hint: A dozen eggs is 12 eggs.)
eggs
Answers
Answer:
4 were broken
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] × 12 = [tex]\frac{12}{3}[/tex] = 4 ← number of broken eggs
Human blood is divided into 8 possible blood types. The rarest blood type is AB negative. Only 1% of the population has this blood type. Suppose a random sample of 50 people is selected. Can we find the probability that more than 3% of the sample has AB negative blood
Answers
Using the normal approximation to the binomial distribution, it is found since np = 0.5 < 10, we cannot find the probability.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex], as long as [tex]np \geq 10, n(1 - p) \geq 10[/tex].In this problem, we have that:
Only 1% of the population has this blood type, hence p = 0.01.A random sample of 50 people is selected, hence n = 50.Then:
np = 50 x 0.01 = 0.5 < 10.
Thus we cannot find the probability.
More can be learned about the normal approximation to the binomial distribution at https://brainly.com/question/14424710
Solve the system of equations.
−10x+3y=5
x=y−4
Answers
Answer:
Hope the pictures will help you..
Step-by-step explanation:
-10(y-4)+3y=5
-10y +40+3y =5
-7y = -40 +5
-7y=-35
7y = 35
{y= 5}
--------------
y=5
x=y-4
x=5-4
{x=1}
The domain of a function g(x) is x< 2. and the range is y > 0. What range the domain and range of its inverse function, g[tex]g^-1[/tex](x)?
Answers
Answer: the answer is b
Step-by-step explanation:
Domain and ranges of inverse functions are swapped.
Domain of the original is the range of the inverse and vice versa.
2x+2=4 solve for x please help me solve this problem
Answers
Answer:
x = 1
Step-by-step explanation:
First subtract 2 on both sides.
2x + 2 -2 = 4 - 2
2x = 2
Divide by 2 on both sides
2x/2 = 2/2
x = 1
Answer:
x=1
Step-by-step explanation:
cause it do 2 multiplied by 1 is 2 plus 2 is 4
Suppose A and B are independent events. The probability that event A will not occur is 0.1 and the probability that event B will occur is 0.7. Find P(A), P(not B) and P(A and B).
Answers
Answer:
The probability for A is 1-0.1 is 90%
P(A)=90%
P(NOT B)=30%
P(A AND B)=0.9+0.7/2=1.6/2=80%
p(a and b) may be a little off.
Answers:
P(A) = 0.9P(not B) = 0.3P(A and B) = 0.63=======================================================
Work Shown:
P(A) = 1 - P(not A)
P(A) = 1 - 0.1
P(A) = 0.9
-------------------
P(not B) = 1 - P(B)
P(not B) = 1 -0.7
P(not B) = 0.3
-------------------
P(A and B) = P(A)*P(B) only when A and B are independent
P(A and B) = 0.9*0.7
P(A and B) = 0.63
which statement is true? A. parallel lines to form four right angles B. parallel lines will always be the same distance apart C. parallel lines intersect at no more than one point pls answer :) it would help me alot
Answers
Answer: C.
Step-by-step explanation:Parallel lines never touch so they cant be intersecting.
What area is the shape?
Answers
Answer:
20 Units
Step-by-step explanation:
The question wants us to find the area of the shape.
From looking at the shape, we can easily infer that it is made of 1 square and 1 triangle.
Area of a Square/Rectangle Formula: A = W(L)
Area of a Trangle Formula: A = (1/2)(b)h
A = W(L)+(1/2)(b)h
The base of the traingle can be found by subtracting the longer length (6) from the smaller length (4).
A = 4(4)+(1/2)(2)4
A = 16+(1)4
A = 16+4
A = 20 Units
Find the area of the polygon
Answers
Answer:
810 m
Step-by-step explanation:
Split the polygon into two parts
(Small and Big rectangle)
SR : 18(18+3) = 378
BR : 18(3+3+18) = 432
378+432 = 810
Hope this helps :)
A taxi company charges a flat fee of $3.50 per ride plus an additional $0.65 per mile. If Ian has only $10, what is the farthest he can ride?
Answers
Answer:
10 miles
Step-by-step explanation:
Before he goes anywhere there is a fee of $3.50. $10 - $3.50 = $6.50. If you divide $6.50 by $0.65 you can find how many miles he can ride. $6.50 divided by $0.65 = 10. That means Ian can ride the taxi for 10 miles.
Brainlisted for the correct answer! Need help due today!
Answers
Answer:
a. 21.95 or abt 22
b. Length of the ladder
Step-by-step explanation:
pythagorean theorem - a^2 + b^2 = c^2
[c is slope/hypoteneuse] [a and b are sides]
11^2 + 19^2 = c^2
121 + 361 = c^2
482 = c^2
sqrt(482) = c
c = 21.954 or abt 22
I really need help with this
I will check to see if it right before giving points thank you.
Answers
Step-by-step explanation:
For the question question, since they are giving you the function you just need to find the input that matches the expected output (y) which will be the number of miles biked. So what numbers multiplied by 12 give you 12, 36, and 48?
You could substitute y into an algebraic function to find these values.
We'll use 36 miles as an example.
If 12x = y then
12x = 36
divide both sides by 12
x = 3
For the second question you are given the x value (number of guests) and just need to calculate y (cupcakes each guest is allowed) by dividing 30 by the number of guests (x).
A central angle has its vertex on the ___________ and is _________ its intercepted arc.
Answers
Answer:
first blank:center
second blank: equal to
Step-by-step explanation:
A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image
SOLVE THE EQUATION AND EXPLAIN YOUR ANSWER
Answers
Answer:
$38.1 billion
Step-by-step explanation:
S - 1.5x = 5.1
x = 2020 - 1998
x = 22 years
S - 1.5(22) = 5.1
S = 5.1 + 33
S = 38.1
I hope this helps!
Answer:
38.1 billion dollars.
Step-by-step explanation:
2020 - 1998 = 22 years, so
S - 1.5(22) = 5.1
S = 5.1 + 1.5(22)
S = 5.1 + 33
= 38.1.
What is the area under the normal curve between the z-scores of −1 and 0?
Enter your answer as a decimal, rounded to the nearest hundredth, like this: 0.42
Answers
Answer:
0.34
Step-by-step explanation:
You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.
area = 68%/2 = 34% = 0.34
__
Your calculator can tell you the same thing.
please answer fast and you get points
Answers
Answer:
[tex]\frac{3}{6}=\frac{3*4}{6*4}=\frac{12}{24}[/tex]
Step-by-step explanation:
How may twenty-fourths equal 3/6
Well, we know that 6 * 4 = 24
So, we will be multipying the numerator and denominator with 4/4:
[tex]\frac{3}{6}=\frac{3*4}{6*4}=\frac{12}{24}[/tex]
Therefore, twelve twenty-fourths (12/24) is equivalent to three-sixths (3/6)
Hope this helps!
in addition to the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS criterion?
A . AC=DE
B. m
C.BC=EF
D. m
Answers
Answer:
BC = FE
Step-by-step explanation:
given ,
BA = FD and the measure of angle ABC = the measure of angle DFE
If we have BC = FE then according to the SAS criterion the two triangles are congruent
4. Jorge has a mass of 45 kilograms and
is skateboarding with a velocity of
3 meters/second north. What is Jorge's
momentum? The units for momentum are
kg-m/s north.
Answers
Jorge's momentum given his mass and the velocity while skateboarding is 135kg-m/s north.
What is momentum?Momentum can be described as the impetus that is gained by an object that is motion. Momentum is velocity multiplied by mass. When put simply, momentum can be described as mass in motion. Thus, when an object is moving, it has momentum.
Momentum velocity x mass
45 x 3 = 135kg-m/s north.
To learn more about momentum, please check: https://brainly.com/question/24030570
The elevation of Death Valley is -86 meters. Which equation shows how many meters below sea level Death Valley is located? Group of answer choices |-86| = 86 |-86| = - 86 |86| = -86 |86| = 86
Answers
Answer:
|-86| = 86
The absolute value of -86 is 86!
Tip : The absolute value is always positive.
Answer:
|-86| = 86
Step-by-step explanation:
a plane traveled 1hr and 20 min why coming back it use 80 min why?
this is a challenge guys let's do it
Answers
Answer:
one hour have 60 minutes and the plane took one hour and 20 minutes so total it used 80 minutes
Mr. Alden Richards is planning to build a gazeboo whose base is a regular octadecagon. At what angle should he cut the lumber to frame the base.
Answers
Answer: Set your blade tilt to 67.5 degrees.
If you deposit $300 in an account and it grows by 6% each year, how much money will be in your account after 1 year?
Answers
Answer:
318
Step-by-step explanation:
300 + (300 * 6%) = Answer
300 + (300 * 0.06) = 318
Which expression is equivalent to the expression shown below?
-9.25(2n-3) - 8n
A. -18.5n + 19.75
B. 55.5n+ 27.75
C. 26.5n + 19.75
D. 27.75 -26.5n
Answers
Answer:
option D
Step-by-step explanation:
Distribute (-9.25) to 2n and (-3). When we multiply (-9.25) and 2n, we get -18.5n and when we multiply (-9.25) and (-3) we get 27.75.
-9.25(2n - 3) - 8n = -9.25*2n - (-9.25) *3 - 8n
= -18.50n + 27.75 -8n
= -18.5n - 8n + 27.75
Combine like terms. Here (-18.5n) and (-8n) are like terms
= -26.5n + 27.75
In the past year, Ann watched 14 movies that she thought were very good. She watched 50 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
28%
Step-by-step explanation:
Divide 14 by 50. 50 is the total and 14 is the amount she thought was good so it would be 14/50 and then divide it and you get .28 which is 28%
Simplify the expression. Write the answer using scientific notation.
A)2.52 × 10–3
B)2.52 × 10–2
C)2.52 × 10–1
D)4.3 × 10–2
Answers
Answer:
B.
[tex]2.52 \times 10 ^{ - 2} [/tex]
Use the graph of the rational function to complete the following statement.
Answers
Using the graph of the function, it is found that the lateral limits of the function are as follows:
As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].What are the lateral limits of the function at x = 1?For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].
For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].
More can be learned about lateral limits at https://brainly.com/question/26270080
18. Use the quadratic formula to solve 4x2-3x - 1 = 0.
O {-1,1}
O {1,1}
O {-1,-1}
O {-1}
Answers
Answer:
using quadratic formula check the attachment