Find the volume of the given prism. Round to the nearest tenth if necessary.
1 m
34
8.5 m
17 m
Question 2 (4 points)
Answers
Given:
The base of the prism is a right triangle with legs 1 m and 2 m.
The height of the prism is 17 m.
To find:
The volume of the given prism.
Solution:
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of base of the prism is:
[tex]Area=\dfrac{1}{2}\times 1\times 2[/tex]
[tex]Area=1[/tex]
Now, the volume of the prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Substituting [tex]B=1,h=17[/tex], we get
[tex]V=(1)(17)[/tex]
[tex]V=17[/tex]
The volume of the prism is 17 cubic m. Therefore, the correct option is (d).
Related Questions
What two numbers is the square root of 41 between?
a 6 and 7
b 7 and 8
C
8 and 9
d 9 and 10
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Hope this helps, good luck!!!
Perimeter of this shape
Answers
Answer:
22 cm
Step-by-step explanation:
Simply count the number of square units of each side, then add them up. (each square unit = 1 cm)
4+4+2+3+2+7
= 22 cm
what expressions represent divide the difference of 27 and 6 by the difference of 12 and 9?
Answers
Answer:
27-6/12-9
Step-by-step explanation:
27-6/12-9
21/3=7
(27 - 6) ÷ (12 - 9)
(27 - 6) ÷ (12 - 9)
(27 - 6) ÷ (12 - 9)
What’s the answer? Please help
Answers
Answer:
Adding
Step-by-step explanation:
When you are getting the given lengths you must add all of them up to get the perimeter.
Answer:
You add
Step-by-step explanation:
Do you like math? If you do solve this simple equations
[tex]2 + 2 + 4 + 4 + 8 + 8 + 16 + 16[/tex]
Answers
Answer:
60 ?
Step-by-step explanation:
Mr. Charles bought dinner for his family.
The dinner cost $46.95.
He left a 15% tip.
About how much tip did Mr. Charles leave?
Answers
The Answer is $7.00 because 46.95 x 0.15 is 7.0425 which is about $7
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?
For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.
Answers
Answer: for every 2 cups of lemonade there are 5 cups of tea
Step-by-step explanation:
Name two pairs of complementary angles
Answers
Answer:
AFB + BAF and CED + CDE
Step-by-step explanation:
complementary angles are two angles that add up to 90°
62 and 28 add up to 90
50 and 40 add up to 90
Which of the following equations represents a line that is parallel to y 5x - 4
and passes through the point, (3, 4)?
Answers
Answer:
A, y=5x-11 is parallel to y=5x-4
Ron used 24 cubes to make this 3-step staircase. If he uses a total of 84 cubes to make a similar staircase, how many steps will the staircase have? Think of using objects to solve this problem
Answers
Part A: A bag of deflated balloons contains 5 red, 3 blue, 4 green, 4 yellow, 5 purple, and 4 white balloons. Create a probability model to show the probability of randomly selecting a balloon of each color. Part B: Verify that all possible outcomes are included in the probability model. Part C: Determine whether the probability model shows uniform or nonuniform probability.
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Answer:
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
The quotient property of radicals requires the indices of the radicals to be the same. Does this mean that it is not possible to write 4Vy^3/Vy as a single radical? Explain.
Answers
Answer:
The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y
Step-by-step explanation:
Answer:
Step-by-step explanation:
The radicals are the power of the same base so they can be written using rational exponents. Simplified the quotient of the exponential expression by getting a common denominator and subtracting exponents. The simplified expression is the 4th root of y,
-33 = -18 + b
i also need the work for it
Answers
Answer:
Solution given:
-33 = -18 + b
b=-33+18=-15
b=-15 is your answer
please helpp will mark brainlyist
Answers
3.631923997916374
I need help please :)
Answers
what is 1 1/3 times 1 3/4 T-T
Answers
Answer:
The answer is: 7/3 or if ya want it simplified ( 2 1/3)
~ hope this helped, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
2 and 1/3
Step-by-step explanation:
help me please..............
Answers
Answer:
a.)48
b.)528
c.)448
Step-by-step explanation:
a.)8x8=64. 4x4=16 64-16=48
b.)48(from a. answer)x11=528
c.)11x8(x2 for the other side)=176. 11x4x4=176.
48x2=96. 176+176+96=448
What is the quotient of the fractions below? 2/3 divided by 5/4
A. 5/6
B. 6/5
C. 15/8
D. 8/15
Hurryyy!!!
Answers
The quotient of the fractions 2/3 divided by 5/4 is 8/20
What is a fraction?A fraction can be simply described as the part of a whole variable, number or element.
There are several types of fractions in mathematics, which includes;
Complex fractionsImproper fractionsProper fractionsMixed fractionsSimple fractionsWhat is quotient?Quotient can simply be described as the product of division of two numbers or variables,
From the information given, we have;
2/3 ÷ 5/4
take the inverse of the divisor and multiply
2/3 × 4/5
Multiply the values
8/20
Hence, the value is 8/20
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Please help ASAP!!
8(5x-3)-11(3x+7)=102
Please solve!
Answers
Answer:
x = 29
Step-by-step explanation:
8(5x-3)-11(3x+7)=102
40x - 24 - 33x - 77 = 102
7x - 101 = 102
7x = 203
x = 29
Answer:
X=29
Step-by-step explanation:
Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
HELPPPPPP!!!!!!!!!!
Answers
Answer:
25.7 lbs
Step-by-step explanation:
189/100=1.89
1.89*13.6=25.704
25.7 lbs
Answer:
25.7
Step-by-step explanation:
You need to do 13.6 percent of 189 which is 25.704 without rounding
Round that to the nearest tenth and you have 25.7
Hope I helped :)
equation (in slope intercept form) of the line passing through the points (0,6) with a slope of 8 is .do not include the space in your answer
Answers
Answer:
y=8x+6
Step-by-step explanation:
Which choice gives the solution of this inequality?
3t + 7 < 28
Answers
Answer:7
Step-by-step explanation:
t < 7 gives the solution of inequality 3t + 7 < 28
What is an equality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given inequality
3t + 7 < 28
⇒ 3t < 28 - 7
⇒ 3t < 21
⇒ t < [tex]\frac{21}{3}[/tex]
⇒ t < 7
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Larry practiced basketball 20 times in 5 weeks. His brother practiced basketball 12 times in 21 days. Are the rates at which each brother practiced equivalent? Explain your reasoning.
Answers
Answer:
No, they are not same
Step-by-step explanation:
20 times— 5 weeks
12 times— twenty one also 3 wks
20: 5
12: 3
not same
Consider two population distributions labeled A and B. Distribution A is highly skewed and nonnormal, while distribution B is slightly skewed and near normal. In order for the sampling distributions of A and B to achieve the same degree of normality: A. Population A will require a larger sample size. B. Population B will require a larger sample size. C. Populations A and B will require the same sample size. D. None of these.
Answers
Answer:
A. Population A will require a larger sample size.
Step-by-step explanation:
A highly skewed distribution shows that too much data is concentrated where it is highly skewed.
If the sample size in increased the data may not concentrate at the same point and the skewness is normal that is it is mesokurtic.
The normal curve called the mesokurtic is neither very peaked nor very flat topped.
Populations A and B cannot have the same sample size as there is difference in their skewness.
Therefore option C and D are incorrect.
Option B is also incorrect because if B will require a larger sample size then the skewness may almost finish and the data may have the same concentration at all points.It will become flat topped i.e platy kurtic.
So only option A is correct.
In creasing the sample size will make the curve normal and mesokurtic.
He exponential model describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003. The population of the country in 2003 was nothing million.
Answers
Complete question :
The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?
Answer:
16.2 million
Step-by-step explanation:
Given the equation :
A=16.2e^0.01^t
Where, t = number of years after 2003
The population in year 2003 ; can be obtained thus ;
t = 2003 - 2003 = 0
Put t = 0 in the equation :
A(0) =16.2e^0.01^0
A(0) = 16.2 * 1
A(0) = 16.2
Hence, population in 2003 is 16.2 million
PLS HElp PLZZZZZZZZZZZZZZZZZZZ
Answers
Answer:
c
Step-by-step explanation:
they use multiples of 9
The probability that a randomly selected student is on honor roll is 0.24 The probability that a randomly selected student is on the honor roll and takes an art class is 0.18 what is the probability that a randomly selected student takes an art class, given the student is on honor roll
Answers
Answer: 0.06
Step-by-step explanation: subtract them and you'll get your answer
The probability that a randomly selected student takes an art class, given the student is on honor roll is P ( A|B ) = 0.75
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
The conditional probability is given by
P(A|B) = P(A and B) / P(B)
where A and B are events.
In this case, let A be the event that a randomly selected student takes an art class, and let B be the event that the student is on honor roll.
The probability that a selected student is on honor roll P ( B ) = 0.24
The probability that a selected student is on honor roll and takes an art class P (A and B) = 0.18
Now , the probability that a randomly selected student takes an art class, given the student is on honor roll P(A|B) = P(A and B) / P(B)
P(A|B) = P(A and B) / P(B) = 0.18 / 0.24 = 0.75
Hence , the probability is 0.75 or 75%
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Frankie drove 24 miles in 30 minutes. At this rate , how many miles did he drive
in 5 minutes?
A) 1.2 mi
B) 7.2 mi
c) 4 mi
D) 2 mi
Answers
Answer:
c) 4 miles
Step-by-step explanation:
30 mins / 5 mins = 6
24 miles / 6 = 4 miles
Question 3 of 10
Which rays form the sides of TUV?
U
A. VT
O B. VU
C. UT
D. TU
E. UV
OF. TV
Answers
Add and subtract fractions word problems
Answers
Answer: Jessica ate 3/10 of the pizza
Step-by-step explanation:
We know that combined, Lulu and Jessica ate 7/10 of a pizza. Since we are given that Lulu at 4/10 of the pizza, we subtract 4/10 from 7/10. Because the denominators are the same, we can easily subtract without any extra step. 7/10 - 4/10 = 3/10