The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A square prism has a height of 12 inches and a base with an area of 30 square inches.
A cylinder is inscribed inside the prism.
The volume of the square prism will be
[tex]V_{square} =Base[/tex] [tex]area*Height[/tex]
[tex]V_{square}=30*12[/tex]
[tex]V_{square} =360[/tex] [tex]in^3[/tex]
The volume of the cylinder will be
[tex]V_{cylinder}=\pi r^2h[/tex]
The radius of the base circle of the cylinder will be
[tex]r=\frac{\sqrt[]{30}}{2}[/tex]
[tex]r=2.7386[/tex]
Then volume will be
[tex]V_{cylinder}=\pi *(2.7368)^2*12[/tex]
[tex]V_{cylinder}=282.74[/tex] [tex]in^3[/tex]
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
More about the rectangular prism link is given below.
https://brainly.com/question/21308574
what is the value of "Y" to the "2nd" power minus "X" to the "2nd" power when "Y" = 6 and "X" =5
Answer:
11
Step-by-step explanation:
y^2 - x^2
y = 6, x = 5
6^2 - 5^2
When using exponets we multiply a number by itself as many times as the exponet says, so in this case we multiply 6 x 6 and 5 x 5
6 x 6 = 36 5 x 5 = 25
36 - 25 = 11
Hope this helps!
I really need help! Pls!
Help me with khan geometry. (Explain or give answer no link to answer thx)
Answer:
[tex]\boxed{\sf 200\pi}[/tex]
Step-by-step explanation:
We know that the volume of a cone:-
[tex]\boxed{\sf \pi r^2\cfrac{h}{3}}[/tex]
(r = 10) (h = 6)
[tex]\sf \pi \times 10^2\times\cfrac{6}{3}[/tex]
Divide numbers:-
[tex]\sf \cfrac{6}{3}=\boxed{2}[/tex]
[tex]\sf 10^2\times \:2\pi[/tex]
[tex]\sf 100\times \:2\pi[/tex]
Multiply numbers:-
[tex]\boxed{\sf 200\pi}[/tex]
Therefore, your answer is 200π³
We could also multiply 200 by 3.14 which will give you 628 units³.
Who developed the system of binomial nomenclature?.
Answer:
The Correct A nswer Is... Carl Linnaeus
Step-by-step explanation:
HELPPPPPPPPPP
What is 0.036 written as a percentage?
A) 0.036%
B) 0.36%
C) 3.6%
D) 36%
Answer:
3.6%
Step-by-step explanation:
^
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.
How old is Kevin?
Answer:
kevin = 8 - hope this helped
:)
Step-by-step explanation:
Kevin = 4d Kevin is 4 times as old as Daniel
Kevin = d + 6 Kevin is 6 years older than Daniel
4d = d + 6 They both equal K, so they are equal
3d = 6 subtracts D from both sides
d=6/3 = 2
If Daniel is 2 then Kevin is 4x2=8
If Daniel is 2 then Kevin is 2+6 = 8
Kevin is 8
Daniel is 2
Find the measure of the missing angle of
there are 60 people in a class if 1/4 are absent how many peoples are presents
34-w=6 is the question I need answered.
w = 28
solving stepwise:
[tex]\dashrightarrow \sf \ \ 34-w=6[/tex]
[tex]\dashrightarrow \sf \ \ -w=6-34[/tex]
[tex]\dashrightarrow \sf \ \ -w=-28[/tex]
[tex]\dashrightarrow \sf \ \ w=28[/tex]
Answer:
w = 28Step-by-step explanation:
Given equation:
34 - w = 6Substact 6 both sides:
⇒ 34 - w = 6⇒ 34 - w - 6 = 6 - 6⇒ 28 - w = 0Subtract 28 both sides:
⇒ 28 - w = 0⇒ 28 - 28 - w = 0 - 28⇒ 0 - w = -28⇒ -w = -28Multiply -1 both sides:
⇒ -w = -28⇒ -w × -1 = -28 × -1⇒ w = 28what is the area of the trapezoid
Step-by-step explanation:
A = 1/2*h(base + base)
First step, plug in your numbers:
1/2*(3)(5 + 9)
Add inside the parenthesis:
1/2*(3)(14)
Multiply 3 x 14:
1/2*(42)
Lastly, multiply:
A = 21 m^2
Hope this helps you :)
Hey Mate ,
In this particular question we have to find the area of a trapezoid.
The formula for finding the area is 1/2(a+b)h
Here ,
A :- 5m B :- 9m H :- 3mNow putting all the values in the formula
Area :- 1/2(5+9)3
Area :- 21m²
original cost $98 current cost $89 find the percent of decrease round to the nearest whole percent
Answer:
87.22 hopee helps
Step-by-step explanation:
Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Answer:
36°
Step-by-step explanation:
A triangle'a angle must add up to 180.
So 97+47=144
180-144= 36°
Answer:
36
Step-by-step explanation:
97 + 47 + x = 180
x = 180 - 144
x = 36
HURRYYY PLEASEEE
The diagram shows a cone of a height of 5 cm and a base radius of 12 cm.
What is its volume?
Answer:
volume V = 314.159265 cm³
Step-by-step explanation:
By formula, Volume is = (1/3)πr²h
0.33×3.14×12×12×5
is = 314.159265 m3
Other info
radius r = 5 m
height h = 12 m
slant height s = 13 m
volume V = 314.159265 m3
lateral surface area L = 204.203522 m2
base surface area B = 78.5398163 m2
total surface area A = 282.743339 m2
What is the sum? startfraction 3 y over y squared 7 y 10 endfraction startfraction 2 over y 2 endfraction startfraction 5 over y minus 5 endfraction startfraction 5 (y 2) over (y minus 2) (y 5) endfraction startfraction 5 over y 5 endfraction startfraction 5 (y minus 2) over (y minus 5) (y 2) endfraction
The sum of the fraction expression is equal to 5/(y+5) then the correct option is C.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expression is given as
[tex]\rm \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}[/tex]
Then the sum of the expression is given as
[tex]\rm \rightarrow \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5y+10}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5(y+2)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5}{(y+5)}[/tex]
More about the fraction number link is given below.
https://brainly.com/question/78672
Answer:
C on edge 2022
Step-by-step explanation:
5/y+5
6 divided by 2 = n pls help
Answer:
n = 3
Step-by-step explanation:
2 goes into 6, 3 times
Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, because 62 102 < 122 acute, because 6 10 > 12 obtuse, because 62 102 < 122 obtuse, because 6 10 > 12
If the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. And it is given as
P² + B² = H²
A triangle with side lengths of 6 cm, 10 cm, and 12 cm.
We know that if the square sum of the perpendicular and base is greater than the square of hypotenuse then the angle will be an acute angle.
Ans if the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle.
Then we have
6² + 10² < 12²
Then the angle will be an obtuse angle.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
Answer: C
Explanation: Obtuse, because 6^2+10^2<12^2
Are you picky about the toilet paper you buy? James is! To investigate the absorbency power of his favorite
brand of toilet paper, he went to the store and randomly selected (and purchased) 18 single rolls. He then
poured 1/4 cup of water onto a hard surface and counted how many individual squares of toilet paper it took
to completely absorb the water. Here are the results from his 18 rolls:
29
29
20
24
25 29 21
27 28 21
24 27 25 24
25 26 22 23
(a) Is there convincing evidence at the a= 0. 05 significance level that this brand of toilet paper will
require less than 26 squares to absorb 1/4 cup of water?
(b) Referring to your conclusion, what type of error may have been made? Describe the error in the
context of this study.
There's no convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares.
What is a significance level?A significance level simply means is the probability that an event has occured by chance.
In this case, there's convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares to absorb 1/4 cup of water. Therefore, we fail to reject the null hypothesis.
A type of error that may have been made is type II error. This is the non rejection if the null hypothesis when it's false.
Learn more about significance level on:
https://brainly.com/question/9163177
Roman art differed slightly from the Greek style because it included __________ on sculpted and painted faces. A. Beards B. Eyebrows C. Expressions D. Imperfections Please select the best answer from the choices provided A B C D
Answer:
D imperfections
Step-by-step explanation:
i did the practice test:)
Answer:
The asnwer is D!^^
Step-by-step explanation:
What is (2,1) rotated 90 degrees clockwise?
Answer:
(2,-1)
Step-by-step explanation:
It'd be moved into the 4th quadrant, which is +-
Answer:
It should be ( -1, 2) because it is rotated about -90 degrees.
Step-by-step explanation:
Brainliest Please
Solve for s. You must write your answer in fully simplified form.
-5s = -13
Hey there!
-5s = -13
DIVIDE -5 to BOTH SIDES
-5s/-5 = -13/-5
CANCEL out: -5/-5 because it give you 1
KEEP: -13/-5 because it help solve for the s-value
NEW EQUATION: s = -13/-5
SIMPLIFY IT!
s = 13/5
Therefore, your answer is: s = 13/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\boxed{\sf{s=\dfrac{13}{5} }}[/tex]Step-by-step explanation:
Isolate the term of s from one side of the equation.
-5s=-13First, you have to divide by -5 from both sides.
→ -5s/-5=-13/-5
Solve.
Divide the numbers from left to right.
→ -13/-5=13/5
[tex]\Longrightarrow: \boxed{\sf{s=\dfrac{13}{5} }}[/tex]
Therefore, the correct answer is s=13/5.I hope this helps! Let me know if you have any questions.
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?
k equals one fifth
k = 5
k equals negative one fifth
k = −5
Answer:
k = 5
Step-by-step explanation:
Plugging in 5 for k turns out positive 5 into a negative 5 because of the negative sign in the function. When k is negative, then the graph moves down.
28.2
с
45.8
В
о
mzB =
Answer:
31.6°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig function relating the sides opposite and adjacent an acute angle in a right triangle. It tells you ...
Tan = Opposite/Adjacent
__
The tangent of angle B is ...
tan(B) = AC/CB
tan(B) = 28.2/45.8
The angle is found from the tangent using the inverse tangent function.
B = arctan(28.2/45.8) ≈ 31.621°
The measure of angle B is about 31.6°.
For the function f(x)= √x-6 +1, find the inverse function.
Answer:
f^(-1) (x) = (x-1)²+6 x≥6
Step-by-step explanation:
y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x
y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.
x-1=√(y-6) subtract 1
(x-1)²=y-6 square both sides of the equation
(x-1)²+6=y add 6 to both sides
x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.
Pls pls pls help ill give you whatever :(
Answer:
[tex]y^{\frac{3}{7}}[/tex]
Step-by-step explanation:
[tex]\sqrt[7]{y^3}=y^{\frac{3}{7}}[/tex]
The root of the radical will become the denominator of the exponent fraction and the power of the radical will become the numerator of the exponent fraction
7 ---> is the root of the radical
3 is the power of the radical
which graph represents the inequality y < 2x +3 correctly
Answer:
im not sure , sorry
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
Graphing inequality:
1) First plot y = 2x + 3 as a dotted line as y is less than x
Put x = 0, y = 2*0 +3 = 0 + 3 = 3 ⇒ (0, 3)
Put x = 1 , y = 2*1 + 3 = 2 +3 = 5 ⇒(1 , 5)
Put x = -1, y =2*(-1)+3 ⇒ -2+3 = 1 ⇒ (-1,1)
Mark these three points, and draw a dotted line.
2) Shade the area bellow the dotted line as y < 2x + 3
Check: take a point in the shaded area. (1 , -1)
-1 < 2*1 + 3
-1 < 2 +3
-1 < 5
The condition is satisfied.
Two tourist groups went to the local art museum. The admission for an adult ticket costs the same amount, and the admission for student ticket costs the same amount. The first tourist group paid $46.90 for 3 adult and 5 student admission tickets. The second tourist group paid $29.60 for 2 adult and 3 student admission tickets. What was the cost in dollars of each adult admission ticket?
Answer:
the cost in dollar of each adult admission ticket will cost $5.8
Can someone help with this please??
Answer:
that don't even make sense
what is the area of a prism
Answer:
The area of prism is calculated by:(a+b)h/2
Find the width of a cereal box that has a volume of 2,310 cm3 and is 22 cm long and 21 cm high.
breadth = 5cm
hope it helps...!!!
Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.? acute, because 102 122>152 acute, because 122 152>102 obtuse, because 102 122>152 obtuse, because 122 152>102
The triangle with side lengths of 10 in., 12 in., and 15 in. is acute because 10^2 + 12^2 > 15^2
What is the acute angle?An acute angle is defined as the measure of an angle that is less than 90 degrees.
The side lengths of the triangles are 10, 12 and 15
The smallest side lengths are: 10 and 12
The sum of the squares of these side lengths is
[tex]10^2 + 12^2[/tex]
For the triangle to be acute, then the following must be true
[tex]10^2 + 12^2 > 15^2[/tex]
Evaluate the exponents
[tex]244 < 255[/tex]
The above inequality is true.
Hence, the triangle is acute because 10^2 + 12^2 > 15^2
Read more about triangles here;
brainly.com/question/17972372