What is the volume of the trapezoidal right prism?
A.
846 m3
B.
720 m3
C.
423 m3
D.
56 m3
Answers
V = Ab * h
Where,
Ab: base area
h: height
We have then:
Ab = (1/2) * (40 + 7) * (6)
Ab = 141 m ^ 2
Then, replacing we have:
V = (141) * (3)
V = 423 m ^ 3
Answer:
The prism volume is given by:
V = 423 m ^ 3
(40+7) / 2 = 23.5
23.5 x 3 = 70.5
70.5 x 6 = 423 m3
Answer is C
Related Questions
you flip two coins and roll a number cube what is the probability of flipping two tails and rolling as even number
Answers
P(even number) = 1/2
P(tail, tail, even) = (1/2) (1/2) (1/2) = 1/8
Answer: 1/8
so 1/2 x 1/2 = 1/4 probability of getting 2 tails
a single die has 3 even numbers so you have a 3/6 = 1/2 probability of getting an even number
multiply both together for probability of 2 tails and an even number: 1/4 x 1/2 = 1/8 probability
just answer question, No need to explain. THANKS
Answers
The -3 means it’s shifted to the right 3 units
The 4 means it shifted up 4 units
f (x) = x ^ 2
We have the following information:
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right
f (x) = (x-3) ^ 2
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
f (x) = (x-3) ^ 2 + 4
Answer:
f (x) = (x-3) ^ 2 + 4
option C
what is
[tex]3\times \frac{ 2}{8} [/tex]
Answers
3 × [tex] \frac{1}{4} [/tex]
Now multiply 3 by the numerator (top of the fraction) to find your final answer.
[tex] \frac{3}{4} [/tex]
This means that the correct answer to your question is going to be [tex] \frac{3}{4} [/tex],, or 0.75 in decimal form.
Let me know if you have any further questions.
:)
[tex]3* \frac{2}{8} [/tex]
or
[tex]3* \frac{1}{4} = \frac{3}{4} [/tex] simplified
Hope I helped!
Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?
Answers
Time taken before the cyclist are on the same sport will be found as follows:
time=distance/(relative speed)
distance=1800 km
given that the cyclist will be riding towards the same side, then
relative speed=(Steve's speed-Kara's speed)=30-15=15 km/h
thus time taken will be:
time=1800/15
=120 hours
How to write 6.08 in expanded form
Answers
6.08 = (6 x 1) + (0/10) + (8/100)
Please do 24 1/2 - 19 5/8
Answers
In order to do that, multiply the whole number by the denominator and add it to the numerator.
That would make 24 [tex] \frac{1}{2}[/tex] into [tex] \frac{49}{2} [/tex].
Also, it'd make 19 [tex] \frac{5}{8}[/tex] into [tex] \frac{157}{8} [/tex].
Now that they're both improper fractions, you need to make them have a common denominator in order to actually subtract them. You can do that by multiplying the numerator and denominator of [tex] \frac{49}{2} [/tex] by 4, to make it stay the same fraction, but have the same denominator as [tex] \frac{157}{8} [/tex].
[tex] \frac{49}{2} = \frac{196}{8} [/tex]
Now we can subtract them!
[tex] \frac{196}{8} - \frac{157}{8} = \frac{39}{8} [/tex]
When subtracting fractions, only subtract the numerators. You don't subtract the denominators.
The final answer is [tex] \frac{39}{8} [/tex]
What is 51-50.1? Explain your answer.
Answers
This was a basic subtraction problem.
a roll of one die has six possible outcomes. Use the product counting principle to determine the total number of outcomes for a toss of two die explain your response
Answers
There are 6 outcome for the first die and 6 outcomes for the second die. The fundamental counting principle states that to find the total number of outcomes of these independent events, we multiply:
6(6) = 36
factor 3x^3+3x^2+x+1
Answers
3x^3+3x^2+x+1= (3x^3+3x^2)+(x+1)=
3x^2(x+1)+(x+1)=
= (x+1)(3x^2+1)
Have a good day
3x²(x + 1) + 1(x + 1)
(3x² + 1)(x + 1)
Factored form: (3x² + 1)(x + 1)
Enter the value of m when the expression 13.5x+m is equivalent to 2.7(5x-3.6)
Answers
13.5x+m =2.7(5x-3.6)
13.5x+m =2.7*5x-2.7*3.6
13.5x+m=13.5x-9.72
if the expression (13.5x+m) is equivalent to 13.5x-9.72
then
m=-9.72
the answer is
m=-9.72
x – y ≥ -4.
2x – y ≤ 5.
2y + x > 1
Answers
Brianna took out a car loan for $12,250 that has a 0% APR for the first 20 months and will be paid off with monthly payments over a 4 years. For how many months will Brianna be charged interest.
Answers
Final answer:
Brianna will be charged interest for 28 months.
Explanation:
To determine how many months Brianna will be charged interest, we need to first calculate the total number of months she will be making payments. Since there are 4 years in total, and each year has 12 months, the total number of months is 4 years * 12 months/year = 48 months.
For the first 20 months, Brianna has a 0% APR and will not be charged interest. So we subtract these 20 months from the total number of months to find out how many months she will be charged interest: 48 months - 20 months = 28 months.
Therefore, Brianna will be charged interest for 28 months.
translate each phrase into a mathematical expression
q1the quotient of four less than y and twice x
q2the product of a and the sum of a thirteen
both 2 questions answer plz
Answers
_______________________________________________
1) " [tex] \frac{y-4}{2x} [/tex] " .
_______________________________________________
2) " a(a + 13) " .
________________________________________________
I am thinking of a number, when I add 5 and multiply the answer by 2 I get 28. What is my number?
Answers
[tex]28 \div 2 = 14[/tex]
next, minus 5
[tex]14 - 5 = 9[/tex]
so the original number is 9 !!
A rectangle has vertices at these coordinates. (5, −3), (5, −8),(8, −3) What are the coordinates of the fourth vertex of the rectangle? Enter the coordinates in the boxes.
will give brainlest
Answers
Answer:
Coordinate of 4th vertex of the rectangle is ( 8 , -8 ).
Step-by-step explanation:
Given Vertices of Rectangle are ( 5 , -3 ) , ( 5 , -8 ) , ( 8 , -3 )
To find: Coordinate of Fourth Vertex of the rectangle.
First, Plot all given three points on the graph.
Graph is attached.
We know that Opposite sides of the rectangle are equal and parallel.
Also All angles of rectangles are right angle.
So to satisfy these properties of rectangle.
4th coordinate must be on line x = 8 and y = -8.
⇒ Fourth coordinate = ( 8 , -8 )
Therefore, Coordinate of 4th vertex of the rectangle is ( 8 , -8 ).
Make x the subject of the formula y=ax
Answers
An electrolyte solution has an average current density of 1 ampere per square decimeter (A/dm^2). What is the current density of the solution in A/m^2?
Answers
1 m = 10 dm
∴ 1 m² = 100 dm² ⇒⇒⇒ 1 dm² = 0.01 m²
For the given dimension
1 (A/dm²) = [tex] 1 \frac{A}{dm^2} = 1 \frac{A}{0.01 \ m^2} = 1 * \frac{1}{0.01 } \frac{A}{m^2} = 100 \ \frac{A}{m^2}[/tex]
note: 1/0.01 = 100
the density of electrolyte solution is 100 ampere per square meter
Step-by-step explanation:We know that the Average current density of the solution = 1 ampere per square decimeter and we need to find the average current density of the solution in ampere per square meter. So
One fifth the total of a number and 4 is 2, find the number
Answers
Answer:
-10
Step-by-step explanation:
(1/5)x+4=2
5(1/5)x+4=2)
x+20=10
x = -10
596.282 ×_____ = 5,962.82
A) 1
B) 10
C) 100
D) 1,000
Answers
5,962.82 ÷ 596.282 = 10
How many lawns were mowed?
What is the difference between the greatest amount and least amount of gasoline used to mow lawns?
Answers
11 lawns because there are 11 x’ s
What is the difference between the greatest amount and least amount of gasoline used to mow lawns ?
4/8 of to simplify it’s 1/2
About what percent of the village women took between 48 and 56 minutes to collect one container of water?
Answers
Approximately the middle 50% of data is contained inside the box of a box plot.
The range of the given whisker box plot is 64-45=19.The percent of the village women took between 48 and 56 minutes to collect one container of water lie in the middle box.The middle “box” represents the middle 50% of scores for the group .The middle 50% of scores fall within the inter-quartile range.The upper and lower whiskers represent scores outside the middle 50%.
About 50% of the village women took between 48 and 56 minutes to collect one container of water.
The range of the given whisker box plot is 64-45=19.The percent of the village women took between 48 and 56 minutes to collect one container of water lie in the middle box.The middle “box” represents the middle 50% of scores for the group .The middle 50% of scores fall within the inter-quartile range.The upper and lower whiskers represent scores outside the middle 50%.
About 50% of the village women took between 48 and 56 minutes to collect one container of water.
Solve the inequality and describe the solution set:
y-6 ≥ 12
Answers
You want to get the y only on one side of the equation. To get rid of the -6 you have to add 6 to both sides to even out the equation.
y-6≥12
+6 +6
y ≥18
Answer: The solution set is y≥18.
Step-by-step explanation:
Since we have given that
[tex]y-6\geq 12[/tex]
We need to first find the inequality and find the solution set.
[tex]y-6\geq 12\\\\y\geq 12+6\\\\y\geq 18[/tex]
So, the solution set for this would be all the values of y which is greater than 18.
i.e. y≥18.
need help plzz.......according to the graph of H (w)......
Answers
Explain why the equation 5z + 2 = 5z has no solution.
Answers
Answer : This is because when 5z minus 5z, it is nullified, with no way to determine the value of z. 5z - 5z = 0
That is why there is no solution for this equation.
Hope this helps. - M
help me in 25 no...I am not getting
Answers
14.7 = 19.6t -4.9t²
4.9t² -19.6t +14.7 = 0 . . . . . put the equation in standard form
4.9(t² -4t +3) = 0 . . . . . . . . . factor out 4.9 to simplify the numbers
(t -1)(t -3) = 0 . . . . . . . . . . .. divide by 4.9 and factor
The solutions to this are ...
t = 1, t = 3
After 1 second, the ball will reach the height of 14.7 meters.
25b. This question asks you to find the value of t that make h = 0.
0 = 19.6t -4.9t² . . . . . . substitute the given numbers
0 = 4.9t(4 -t) . . . . . . . . factor
The solutions to this are ...
t = 0, t = 4
The ball will hit the ground after 4 seconds.
_____
As you can see from the graph below, a graphing calculator can be helpful for solving problems of this sort.
A survey shows that 67% of peanut butter lovers prefer chunky-style. Out of 850 people surveys, how many can be predicted to say they prefer chunky-style peanut butter?
Answers
All you have to do is make you % into a decimal is multiply by 850
Hope this helps :-)
I like to use this formula cause it's really useful when it comes to these problems:
Part Percent
________ = _________
Whole 100
So, you basically plug in the numbers into the equation, it's really easy:
??? 67%
________ = ________
850 100
Then, you cross multiply. 67% x 850 = 56,950 / 100 =
And the answer to your question is: 569.6 or rounded is 570.
Whats the value of x?
x = ___
Answers
The square root of 25 is 5 so x= 5
Hope this helps!
The movie theater add 352 people in it.if the people split into eight even groups to watch different movies how many people Will watch each movie
Answers
So the answer is 44
Hope this Helps:)
Traverion wants to find the answer to the question “how much money does the average college professor make?” He surveys 50 professors from the university in his hometown. Which best describes whether or not the results of his survey would represent the responses from the entire propulatiob of college professors?
Answers
Traverion's survey would not represent the responses from the entire population of college professors.
SurveyA survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.
Given informationTraverion wants to find the answer to the question “how much money does the average college professor make?” He surveys 50 professors from the university in his hometown.
Traverion wants to know “how much money does the average college professor make?”, so, in the survey, he wants to know the average for the entire population.The information is been collected from his town only, therefore, the data represents the average college professor's salary for his town only.Hence, Traverion's survey would not represent the responses from the entire population of college professors.
Learn more about Survey:
https://brainly.com/question/13532910
the sum of two numbers equals 49.The sum of the larger number and twice the smaller number is 70. what are the numbers.
Tell me the steps!
Answers
[tex]x = 49 - y[/tex]
Substitute that into,
[tex]49 - y + 2y = 70 \\ y = 21[/tex]
Substitute that into,
[tex]x = 49 - 21 \\ x = 28[/tex]
Answer check :
[tex]21 + 28 = 49 \\ 28 + 2(21) = 28 + 42 = 70[/tex]
Answer : The numbers are 21 and 28.
Hope this helps. - M
The problem is solved using a system of equations to find that the two numbers in question are 21 and 28.
To solve the problem involving two numbers where the sum equals 49 and the sum of the larger number and twice the smaller number equals 70, we need to form a system of linear equations and solve for the unknowns. Let's denote the smaller number as s and the larger number as l.
The sum of the two numbers is 49: s + l = 49.The sum of twice the smaller number and the larger number is 70: 2s + l = 70.Subtract the first equation from the second to find the value of s.
2s + l - (s + l) = 70 - 49
Which simplifies to:
s = 21
Substitute the value of s into the first equation:
21 + l = 49
And solve for l:
l = 28
Therefore, the smaller number is 21 and the larger number is 28.