The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?
A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.
Answer:
B.)The volume of the triangular prism is not equal to the volume of the cylinder.
Step-by-step explanation:
Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.
Since the prism has height 2 units, its volume V₁ = 2A.
Since the cylinder has height 6 units, its volume is V₂ = 6A
Dividing V₁/V₂ = 2A/6A =1/3
V₁ = V₂/3.
The volume of the prism is one-third the volume of the cylinder.
So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.
So, the volume of the triangular prism is not equal to the volume of the cylinder.
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is
Answer:
$10,400
Step-by-step explanation:
If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080
It also continues on for 5 years so 2,080*5=$10,400
Answer:
10833
Step-by-step explanation
Use the formula
Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]
a₁= 2000
r= 1+4%=1.04
n=5
plug back into equation
S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6
Rounded to the nearest dollar $10,833
pls answer. i will mark as branliest
Answer:
The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:
x = 38 + 79 which simplifies to x = 117°.
Answer:
117 degrees
Step-by-step explanation:
38* is one inside angle
to find the other you got to find the rest if you do 180-101 you get 79.
all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117
OK sorry i had it wrong apparently i cant read
what is the answer to: 3 x 4 + 15- 19 x2037? help
Answer: -38,686
Step-by-step explanation:
3 x 4= 12
-19 x 2037= -38,703
12 + 15= 17
17 -38,703= -38,686
y=kx and x is doubled what happens to y
Answer:
see explanation
Step-by-step explanation:
Because the quantities are in proportion
When x doubles then y doubles
Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)
Answer:
529 plan
Step-by-step explanation:
The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses
Answer:
529 plan
Step-by-step explanation:
A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.
Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.
Answer:
d = 1 + 3p
Step-by-step explanation:
Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.
For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.
Therefore, the relationship between the practices p and the distance d can be expressed as follows.
number of track practice = p
distance covered = d
The distance covered d in miles is 1 miles plus the number of track practice p multiply by 3
d = 1 + 3p
Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.
Answer:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9 A.) addition property of equality B.) subtraction property of equality C.) multiplication property of equality D.) division property of equality
To solve the given equation, we will use the addition property of equality.
What is the addition property of equality?The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.
For numbers a, b, and c, if a = b then a + c = b + c.
Given is an equation, x - 5 = -14,
We are asked to identify, that, which property of equality was used to solve this equation,
Solving the equation,
x - 5 = -14
Add 5 to both sides,
x-5+5 = -14+5
x = -9
Since, we used addition, therefore, this property is addition property of equality.
Hence, to solve the given equation, we will use the addition property of equality.
Learn more about addition property of equality, click;
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Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
I'll give BRAINLIEST!!
Answer:3
Step-by-step explanation:
The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.
The answer is 3
5, 14, 11, 16, 7, 5, 18, 9 What is the median?
Answer:
The median would be 10. The number in between 9 and 11 would be 10
Step-by-step explanation:
The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.
Hope this helped!!!
the standard deviat
ion of the number 6,0,4,3and2is
Answer:
2
Step-by-step explanation:
First calculate the mean. This is done by adding the numbers and dividing by the count:
sum = 6+0+4+3+2 = 15
count = 5
mean = 15/5 = 3
Now create a table with the "squared deviation to the mean":
6: (6 - 3)² = 9
0: (0 - 3)² = 9
4: (4 - 3)² = 1
3: (3 - 3)² = 0
2: (2 - 3)² = 1
And sum these:
9+9+1+0+1 = 20
Divide by the count to find σ²:
σ² = 20/5 = 4
Hence σ = √4 = 2
How can i Find the difference. in simplest form r/s - 9r/s
Answer:
simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
Step-by-step explanation:
To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)
Answer:
-8r/s
Step-by-step explanation:
r /s - 9r /s
The denominator is the same so subtract the numerators
r - 9r
-8r
Put this back over the denominator
-8r/s
Can I please get help with this?
[tex]\pi \times d[/tex]
22/7×21.6
=67.88
=70
Select the correct answer. What is the domain of the function represented by this graph?
Answer:
Doman is the x intercpet range
Step-by-step explanation:
all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.
The Answer Is:
All Real Numbers
what is the length of this line? khan academy - Distance between two points
Answer:
D = √[(x2 - x1)² + (y2 - y1)²]
Step-by-step explanation:
Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).
Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.
That is,
D² = (x2 - x1)² + (y2 - y1)²
Now, taking square roots of both side, we have the formula for the distance or length D.
D = √[(x2 - x1)² + (y2 - y1)²]
Please help me solve number 14 and 15
Answer:
Step-by-step explanation:
Similarity property,
" If the two triangles are similar then their corresponding sides will be proportional."
14). If ΔPQR ~ ΔUVW,
[tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}
[tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]
[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex] [True}
Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]
15). If ΔFHE ~ ΔDHG,
[tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]
[tex]\frac{24}{6}=\frac{36}{9}[/tex]
4 = 4
Therefore, ΔFHE ~ ΔDHG [Theorem - AA]
3 3/5 times (-8 1/3)
Answer:
-30
Step-by-step explanation:
3 3/5 × -8 1/3
Turn to improper fractions.
18/5 × -25/3
Multiply.
-450/15
Divide.
= -30
Find the square root of 0.925 using long division method...
Answer:
0.96176920308
Step-by-step explanation:
i think so
Find the surface area of the cone in terms of pi.
Answer:
First option is the correct choice.
Step-by-step explanation:
[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]
Best Regards!
If x 3=-27, then what is x?
-3
3
9
Question #8MultipleChoice
Answer:
x=-9
Step-by-step explanation:
3 x=-27
x = -9
Answer:
-9
Step-by-step explanation:
x3 = -27 OR 3x = -27
3x/3 = -27/3
x = - 9
Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor
Option (A) is correct
What are factors of production?
" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."
What are some examples of entrepreneurship as a factor of production?
An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.
So, option (A) is correct
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Answer: entrepreneurship
Step-by-step explanation:
just took the quiz
Pls helpppppppppppppp
Answer:
a. √2⁴+3² = √16 + 9
= √25 = 5
The answer is a
b. √10²-2^6 = √100-64
= √36 = 6
The answer is b
Hope this helps.
Answer:
A.) should be C
B.) should be D
90% sure
What is the decimal multiplier to decrease by 25%?
Answer:
0.75
Step-by-step explanation:
A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.
Answer:
0.75
Step-by-step explanation:
100(0.75)=75
Using the frequency table below, what is the probability of people that are not boys? 10% 20% 30% 50%
Answer:
50%
Step-by-step explanation:
Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.
Cual es el 5% de 6000
Answer:
Explanation:
I hope you understand this
A 60-meter-long wire is divided into two parts such that the length of one part is 3/5 parts the length of the other. Determine the length of each part
Answer:
36 meters and 24 meters.
Step-by-step explanation:
[tex]60 \times 3/5\\180/5=36[/tex]
[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]
Answer:
37.5 m, 22.5 m
Step-by-step explanation:
Let length of first part be x
Length of second part be 3/5x
x + 3/5x = 60
5x + 3x = 60
8x = 300
x = 300/8 = 37.50 m
Second part is 3/5x
3/5 x 37.50 = 22.50 m
I need help with this problem
Answer: A. 94
Step-by-step explanation:
The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.
w=3
l=4
h=5
A=2((3*4)+(5*4)+(5*3))
A=2(12+20+15)
A=2(47)
A=94
PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?
Answer:
Option (1)
Step-by-step explanation:
Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.
Let the diameter of the bolt = x cm
Then the value of x will be,
(1.5 - 0.2) cm < x < (1.5 + 0.2) cm
When we plot the possible measures of the diameter of the bolt on a number line,
Measures of x will be between 1.3 cm to 1.7 cm
Option (1) will be the answer.
Answer:
A
Step-by-step explanation:
Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.