Answers
Part A: volume of triangular prism is found as: 3000 cu. cm.
Part B: volume of triangular prism, when l is 40 cm : V 3000 cu. cm.
Explain about the triangular prism?A prism is a tri solid structure with two identically shaped bases at its ends. Parallelogram-shaped faces link these bases together. This geometrical shape has use in many branches of research, but particularly in optics.
In the given question:
Let the base b = 20 cm.
Height h = 10 cm
Length l = 30 cm
Part A: Volume of triangular prism:
Volume of triangular prism = 1/2 * b* h* l
= 1/2 * 20 * 10 * 30
= 3000 cu. cm.
Thus, the volume of triangular prism is found as: 3000 cu. cm.
Part B: Volume when, l = 40 cm.
Volume of triangular prism = 1/2 * b* h* l
= 1/2 * 20 * 10 * 40
= 4000 cu. cm.
Thus, the volume of triangular prism, when l is 40 cm : V 3000 cu. cm.
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Related Questions
Tom and Louise share £40 in the ratio 1 : 3 work out how much money Tom gets
Answers
Answer:
5
Step-by-step explanation:
because I give him and the answer is incorrect I know but I gave him believe me
An isosceles triangle has angle measures 55°, 55°, and 70°. The side across from the 80° angle is 10 inches long. How long are the other sides? A. 8.72 inches B. 11.47 inches C. 10 inches D. 8.19 inches
Answers
Answer:
Option D: 8.19 inches
Step-by-step explanation:
i hope this helps..have a great day! :)
Nicole is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6
Answers
GIVEN;
We are told that Nicole plays a game in which a fair die with faces numbered 1 to 6 appears for each role. Each number appears randomly.
Required;
To determine the expected value of playing this game.
Step-by-step solution;
We can calculate the expected value of playing the game by multiplying the value of each outcome by its probability of occurrence and then and then we add up all the results.
Note that for a fair die, the probability of each number on a roll is 1/6. That is, each number has the same chance (1 out of 6) of occurrence.
The probability distribution is;
\(P[1]=\frac{1}{6},P[2]=\frac{1}{6},P[3]=\frac{1}{6},P[4]=\frac{1}{6},P[5]=\frac{1}{6},P[6]=\frac{1}{6}\)The probability of rolling a 4, 5 or 6 is the addition of probabilities and that is;
\(\begin{gathered} P[4]\text{ }or\text{ }P[5]\text{ }or\text{ }P[6]=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{3}{6} \\ \\ =\frac{1}{2} \end{gathered}\)We can now calculate the expected value as follows;
\(\begin{gathered} EV=[1\times\frac{1}{6}]+[2\times\frac{1}{6}]+[3\times\frac{1}{6}]-[2\times\frac{1}{2}] \\ \\ EV=\frac{1}{6}+\frac{1}{3}+\frac{1}{2}-1 \\ \\ EV=1-1 \\ \\ EV=0 \end{gathered}\)The expected value of playing the game is $0
After playing the game many times, Nicole can expect to break even (neither gain nor lose money)
ANSWER:
(A) The expected value of playing the game is $0
(B) After playing the game many times, Nicole can expect to break even (neither gain nor lose money)
On a road trip, Bens car can go 75 miles on 3 gallons of gas. real question: if bens car holds 18 gallons of gas, how many miles can ben drive with a full tank of gas?
Answers
Answer:
not sure but I think the answer is 54 miles here's why.
Step-by-step explanation:
I divided 75 by 3 and got 25 but then I multiplied 3 times 18 and got 54 again I'm not sure but I hope this helps :)!
What inequality is represented by the number line graph?
Answers
Answer:
D. x ≤ 5
Step-by-step explanation:
The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).
And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5
Will mark brainliest!!! Plz solve for each variable!!!
Answers
Answer:
the answer is
12 = y - 5
y=17
x+2 = 4
x=2
A basketball player makes 40% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he throws 3 shots. Let x = the number of shots that he makes. What is the sample space for x?.
Answers
The probability of throwing 3 shots is 100% and the sample space is set of all possible real number.
Probability is the measure of the likelihood that a given event will occur. In this case, the event is a basketball player making a shot from the free throw line.
Since the player has a 40% success rate, we can calculate the probability of him making x number of shots, where x is the number of shots that he throws.
Since the shots are independent of each other, the sample space for x is the set of all possible numbers of shots that he can make, from 0 to the total number of shots (3 in this case).
Therefore, the sample space for x is {0, 1, 2, 3}, which means that the player has a 0% probability of making 0 shots, a 40% probability of making 1 shot, an 80% probability of making 2 shots, and a 100% probability of making all 3 shots
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which best describes how to solve the equations below 35x=88
Answers
can someone help me with this math problem
Answers
Answer:
It is congruent to the angle F, as they are similar triangles.
What is a non-linear graph in math???
Answers
Answer:
It is a graph that is not a straight line - it can be described as an equation such as y =mx + c
Step-by-step explanation:
7t + 2 = t + 32
a. 12
b. -5
c. 5
d. -12
Answers
Answer:
c.5 is correct
Step-by-step explanation:
7t+2=t+32
shift similar terms on one side
7t-t=32-2
6t=30
t=30/6
t=5
Based on the way living things are organized, what level combines to form tissues? Cells Molecules Organs Organ systems
Answers
Answer:
Cells
Step-by-step explanation:
HTH!
Anyone please please answer (30points)
Answers
Answer:
Look in explanation
Step-by-step explanation:
for each k(x) value, plug the x into the given equation
-4: 1/2 (-4) -1 = -2-1=-3
all are solved this way
-2: -2
0: -1
2: 0
4: 1
ordered pair will be (x, (k(x))
for example (-4, -3)
do this for all other points
slope can be found by taking the change in y over change in x
so -2- -4 divided by -2 - - 3 = 2/1 = 2
slope = 2
hope that makes sense
x 2 −51=14xx, squared, minus, 51, equals, 14, x 1) Rewrite the equation by completing the square.
Answers
Answer:
(x -7)² = 100
Step-by-step explanation:
You want to rewrite the equation x² -51 = 14x by completing the square.
Complete squareWhen we're finished, the equation will be of the form ...
(x +a)² = b
Expanding this, we have ...
x² +2ax +a² = b
That is, the value of 'a' is half the coefficient of x when the equation is written with the x-terms together.
RearrangementAdding 51 -14x to both sides of the given equation, we get ...
x² -51 = 14x
x² -14x = 51
Now, we can see that a=-14/2 = -7. We can add a² = (-7)² = 49 to both sides to complete the square:
x² -14x +49 = 51 +49
(x -7)² = 100 . . . . . . . rewritten equation
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
Answers
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
Learn more about percentages here,
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What combination of transformations is shown below ?
Answers
Answer:
Translation then Reflection
Step-by-step explanation:
Step 1 to 2 is Translation
Step 2 to 3 is Reflection
Answer:
I think it is rotation, then reflection
Help picture below problem 10
Answers
Answer:
your answer is none of the above
Find an explicit rule for the nth term of the sequence.
Answers
9514 1404 393
Answer:
(a) an = -4·2^(n-1)
Step-by-step explanation:
The form for the general term is ...
an = a1·r^(n-1) . . . . . a1 is the first term; r is the common ratio
For a1=-4 and r=-8/-4 = 2, the rule will be ...
an = -4·2^(n-1)
Answer:
the answer is a
Step-by-step explanation:
:)))))))))
The solution process is shown for an equation. Justify each step in the process with the appropriate property.
Answers
In mathematics, a solution process involves a set of steps that are taken to obtain a solution to a given equation. In this context, the term "property" refers to a mathematical rule or law that is used to justify each step of the solution process.
For instance, in the process of solving a linear equation, we start with an equation in which the variable is on one side and all the constants are on the other side.
We then use the distributive property to simplify the equation, followed by the additive inverse property to isolate the variable on one side of the equation.
Finally, we use the multiplication property to solve for the variable. In the process of solving a quadratic equation, we start by factoring the equation to obtain two linear factors, which can then be solved using the zero product property.
Alternatively, we can use the quadratic formula to directly find the roots of the equation. Both of these methods are based on the properties of algebra that allow us to manipulate the equation to obtain a solution.
Overall, the solution process involves a series of steps that are justified using mathematical properties, which allow us to simplify the equation and isolate the variable. By following these steps, we can obtain a solution that satisfies the given equation.
For more such questions on quadratic equation
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Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
Answers
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?
Answers
Answer:
2.5 hours
Step-by-step explanation:
→ Write the formula
Speed = Distance ÷ Time
→ Find the distance for 3 hours at a speed of 50 mph
Distance = Speed × Time ∴ 3 × 150 = 150
→ Now work out the time
150 ÷ 60 = 2.5 hours
What is the probability of a person who plays equation IQ being in grade 6? Enter the answer as a percentage, round to the nearest tenth place.
Answers
ANSWER
28.3%
EXPLANATION
The total number of people that play Equation IQ is 300 - we can know this by adding either the more right column or the lowest row of the table.
From those people, 85 are in grade 6. The probability of a person that plays Equation IQ being in grade 6 is:
\(P(\text{grade 6})=\frac{\#\text{ people in grade 6}}{\#\text{ total number of players}}=\frac{85}{300}\approx0.2833\ldots\)To write it as a percentage we just have to multiply it by 100:
\(0.283\times100=28.3\text{ \%}\)The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
Answers
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
Simplify Remove all perfectsquares from inside the square root. v52
Answers
The square root we need to simplify is:
\(\sqrt[]{52}\)We need to find an expression equivalent to 54 which includes a perfect square number (4, 16, 25, etc,...)
In this case, we note that:
\(52=4\times13\)We substitute this in the square root:
\(\sqrt[]{4\times13}\)And we calculate the square root of 4 which is 2, and that goes outside the square root:
\(2\sqrt[]{13}\)we left the number 13 inside the square root because the square root of 13 is not exact.
Answer:
\(2\sqrt[]{13}\).
Triangle ABC was transformed to create triangle A'B'C'.
А
B
с
x
3
4
5
67
A
AN
A
В'
C
Which rule best describes this transformation?
А
(x, y) = (x,y - 7)
B
(x, y) (x, y)
С
(x, y) - (x - 7,Y)
D
(x, y) - (-x, y)
Answers
Answer:
A
Step-by-step explanation:
Hello There!
The y value of ABC was subtracted by 7 to get to the figure A'B'C'
So the rule for the given transformation would be
(x,y) ---> (x,y-7)
Factor this trinomial fast please!
p? +11p + 28
Answers
Answer:
it is 12x^2 +6x
Step-by-step explanation:
x^2 +8x +16
x^2-144
= 12x^2 + 6x
Brainliest if im right pls? uwu
Thirty is what percent of 20?
Answers
Answer:
150 percent
Step-by-step explanation:
30/20. Multiply both sides by 5. 150/100. 30 is %150 of 20
Answer:
150
Step-by-step explanation: from goog .le
Use the distributive property to simplify this expression for a parentheses 4(12 + 5)
Answers
Answer:
68
Step-by-step explanation:
Scott is running for office. Of the 18,000 votes cast in the election for this office, 55% were for Scott. How many votes were cast for the other candidates? O A. 810 O B. 990 O C. 8,100 D. 9,900
Answers
Answer:
C
multiply 55% and 18,000
then subtract what u got with 18000
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Caroline can ride her bike 5 miles in 25 minutes. At this rate, how long would it take her to bike 8 miles?
Answers
Answer:
40 min.
Step-by-step explanation:
5/25=1/5
1/5=0.2
8/0.2=40
Answer:
40 mins
Step-by-step explanation:
do 25 divided by 5 and you get 5, which means she can ride one mile in 5 mins, so then multiply 5 and 8 and you get the product of 40.