Now
volume:-
1/3πr²h1/3π(4.5)²(6)π(20.25)(2)40.5πcm³Answer:
Volume of cone = 127.17 cm³Step-by-step explanation:
In the question we are given ,
Slant height = 7.5 cmRadius = 4.5 cmAnd we are asked to find the volume of cone. We know that ,
[tex] \red{\boxed{ \rm{Volume \: of \: cone = \frac{1}{3} \pi r {}^{2}h }}}[/tex]
Where ,
π = 3.14r = 4.5 cmh = Not givenSo , for finding volume of cone we must have to find the height of cone using slant height formula i.e. ,
[tex] \green{\boxed{ \sf{l {}^{2} = h {}^{2} + r {}^{2} }}}[/tex]
Where ,
l = slant heighth = heightr = radiusNow , substituting values :
[tex] \hookrightarrow \: 7.5 {}^{2} = h {}^{2} + 4.5 {}^{2} [/tex]
Transposing 4.5 to left hand side :
[tex] \hookrightarrow \: 7.5 {}^{2} - 4.5 {}^{2} = h {}^{2} [/tex]
[tex] \hookrightarrow \:56.25 - 20.25 = h {}^{2} [/tex]
On further calculations we get :
[tex] \hookrightarrow \:h {}^{2} = 36[/tex]
[tex] \hookrightarrow \:h = \sqrt{36} [/tex]
We know that 6 × 6 is equal to 36 that means square root of 36 is 6 . So :
[tex] \hookrightarrow \pink{\boxed{\bold{h = 6 \: cm}}}[/tex]
Therefore, height of cylinder is 6 cm .Now finding volume :Substituting values in volume formula :
[tex] \longrightarrow\: \frac{1}{ \cancel{3} } \times 3.14 \times (4.5) {}^{2} \times \cancel{6}[/tex]
Step 1 : By cancelling 6 with 3 we get :
[tex] \longrightarrow \: 3.14 \times 20.25 \times 2[/tex]
Step 2 : Multiplying 20.25 with 2 :
[tex] \longrightarrow \:3.14 \times 40.50[/tex]
Step 3 : Multiplying 3.14 with 40.50 :
[tex] \longrightarrow \: \purple{\boxed{\bold{127.17 \: cm {}^{3} }}}[/tex]
Therefore, volume of cone is 127.17 cm³ .#Keep Learning
Can somebody help me with this please and thanks
Answer:
120 cubes are required.........
Answer:
120 1/3 cubes
Step-by-step explanation:
you have 5 thirds so 5 and 4 thirds so 4 and 2 wholes which is 6 thirds so you would multilpy them and the equation would be 5x4x6 and that equals 120.
A triangle has one side that is 4 centimeters long and one that is 9 centimeters long. The third side is a whole number of centimeters. What is the shortest possible third side?
Answer:
6
Step-by-step explanation:
Using the Triangle Inequality Theorem, we can derive the range in which the third side, x. If you are having trouble with the theorem, it is that the sum of any two sides must be larger than the other side.
4 + 9 > x => x < 13
x + 4 > 9 => x > 5
x + 9 > 4 => x > -5
Combining all three equations gives us 5 < x < 13
Since the number is a whole number, the smallest whole number that satisfies the range is 6. The answer is 6.
Hope I helped!
The diagram shows a pair of similar figures.
What do the center and the scale factor need to be in order to transform triangle ace to triangle abd ?
Answer:
C
Step-by-step explanation:
BRAINLIEST, JUST SAY THE ANSWER
Each fraction has many equivalent fractions. Type an equivalent fraction for the fraction below using 4 as a multiplier.
1/4
Answer:
4/16
Step-by-step explanation:
pls give me brainliest
coach loren wants one number to describe how all of the values in the data set vary, so Kerry should tell her to use a measure of ______
a. center
b. quantity
c. distribution
d. variation
e. correlation
Answer:
variation?
Step-by-step explanation:
help pls :( i will help you
Answer:
7 in thick
Step-by-step explanation:
There are two of the 2 1/4 books; and one of the 2 1/2 in. thick book.
2 1/4 + 2 1 /4 = 4 1/2 + 2 1 /2 = 7 in. thick
Due to gravity, an object falls 16t squared feet in t seconds. You drop a backpack from a window that is 60 feet above the ground. Will the backpack hit the ground in 2 seconds?
Answer:
No
Step-by-step explanation:
Since gravity falls at a rate of 16 feet per second, t= number of seconds.
if t=2 seconds, you would have the equation 16*2 = fall amount
16*2 =32. Since it is less than 60 feet, the backpack won't hit the ground in 2 seconds
Find the interest on $4,000 at 3% for 4 months.
$480
$40
$400
$48
Answer:
$40
Step-by-step explanation:
everyone else on brainly agrees that $40 is the answerhave a great day :)))Can someone find F(12).
i really have no idea...
Please and thank you?
Answer: 909.03
Step-by-step explanation:
We know that the equation is an exponential function, it can be written as y=ab^x
[tex]100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\[/tex]
[tex]\Rightarrow ab^1=11[/tex]
[tex]\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0[/tex]
[tex]\Rightarrow a=\frac{11}{b}[/tex]
a = 11/b, substitute it in equation 1
[tex]100 &=a b^{6.5}[/tex]
[tex]\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}[/tex]
[tex]\Rightarrow 100b=11b^\frac{11}{2}[/tex]
[tex]\Rightarrow 11\sqrt{b^{11} } =100b[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow {b^{11} } =\frac{10000}{121}}[/tex]
[tex]\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}[/tex]
[tex]\Rightarrow {b} = 1.49379[/tex]
a = 11/b
a = 11/(1.49379)
a = 7.36382
Equation: y = (7.36382)(1.49379)^x
Now plug in 12 for x:
[tex]\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:1.49379^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:123.44530\dots[/tex]
[tex]\Rightarrow 909.03[/tex]
Therefore, f(12) = 909.03 for the exponential function
Please Help I'll give brainiest!! (answer quick please!!!!)
1) Which statement is correct for the graph of the specified function?
A) The minimum value of the quadratic function occurs at x = 0.
B) The maximum value of the quadratic function occurs at y = 0.
C) The x-values of the linear function increase as the y-values decrease.
D) The x-values of the linear function decrease as the y-values increase.
------
2) Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.
i know you need help urgen for this but this is just for a challenge i have to answer 5 questions by the end of today! im sorry if i got your hopes down on getting and answer but good luck!
Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.
Growth factor Levels
Lighting Low, Medium, High, Very high
Age month, months, months, months, months
Temperature , , ,
She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?
Answer:
80
Step-by-step explanation:
For these types of counting problems, just multiply all of the levels.
For example, this would be
4 choices
5 choices
4 choices
Multiply 4*5*4, and you get 80.
Total number of ways of combining one level from each of the growth factors is equals to 80.
What is fundamental principle of counting?" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."
According to the question,
Number of growth factors =3
First growth factor: Lightening
Second growth factor: Age
Third growth factor : Temperature
As per the data given we have,
Number of levels in lightening 'm'= 4
Number of levels in age 'n'= 5
Number of levels in temperature 'p' =4
Substitute the value as per the definition of fundamental principle of counting
Total number of ways = m × n × p
= 4 × 5 × 4
= 80 ways
Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.
Learn more about fundamental principle of counting here
https://brainly.com/question/23905307
#SPJ2
ahh help im confuse pls answer
Answer:
I think that the answer is 1/6
What is the value of x?
Enter your answer in the box.
Answer:
Step-by-step explanation:
Remark
These two angles are supplementary. They make up the horizontal line. Supplementary angles add to 180 degrees.
Equation
x + 134 = 180
Solution and Answer
x + 134 = 180 Subtract 134 from both sides
x + 134 - 134 = 180-134 Combine
Answer: x = 46
Help please!!!!! I have a pic
Answer:
90 bro
Step-by-step explanation:
35+55= 90
90+90=180
180 = every triangle
or
180-35-55=90
good luck
Please help! simplify the expression:
The temperature at 6:00 P.M. was 68°F. This was 5°F lower than the temperature at 3:00 P.M. The temperature at 1:00 P.M. on that day was 3°F higher than the temperature at 3:00 P.M. What was the temperature at 1:00 P.M.?
please answer these questions i will give points or brainliest and its urgent
Answer:
1=67
2=142
3=69
4=90
5=138
Can someone help me with this math equation? Can you explain how to work it out also?
Answer: 50
Explanation:What we know:The numerator is 6The denominator is equal to (3*5)^(-2)In fraction-style equations, the numerators are divided by denominatorsNegative exponents are equal to (base)^|power|, and then reversing the products place in the fraction
How to solve:
By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure
Process:ExponentSet up equation 6 / [3 * 5^(-2)]
Rewrite power 6 / [3 * (5 * 5)]
Simplify power 6 / [3 * (25)]
Invert power 6(25) / 3
SimplifyingSet up equation 6(25) / 3
Simplify 150 / 3
Simplify (using common denominator) 50 / 1
Rewrite in simplest form =50
Answer: 50
The mean of a set of data is 45 years. Find the missing numbers in the data set {40,45,48,?,54,?,45}. Explain the method or strategy you used.
please help me!!!
Answer:
42 and 41
Step-by-step explanation:
So how I did it tbh I went everywere with this but I went backwards because the how you find the mean of something is adding all the values and then dividing them by the number of values(40+41+42+45+45+48+54=315, 315divided by 7=45) but anyway 45x7(because multiplication is the opposite of division)that equals 315-232 which is the answer to 40+45+48+54+45 which were the numbers that were given
(BRAINLIEST TO BEST ANSWER!)
How do you write 254,456 in expanded form?
help me with this please
Answer:
27720cm
Step-by-step explanation:
to find area, we multiply all the widths.
11×14×20×9= 27720cm
Answer:
235 square centimeters
Step-by-step explanation:
Split The Shape Into 2.
Shape 1: 11 cm by 14 cm
11 cm * 14 cm = 154 square centimeters
Shape 2: (20 - 11) cm by 9 cm
(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters
Original Shape = Shape 1 + Shape 2
154 + 81 = 235 square centimeters
Use the image to solve. I'm pretty sure it would be undefined but im not sure.
Thanks
Answer:
This line has a slope of 0, with the equation being y = -4
Step-by-step explanation:
Slope can be found with change in y over change in x
[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]
Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.
i need help please will give brainlist
Answer:
C is the answers for the question
Step-by-step explanation:
please mark me as brainlest
2 tickets cost $14. How many tickets can you buy with $63?
Answer:
9
Step-by-step explanation:
2 tickets = $14
so
1 ticket = $7
$63 divided by $7 = 9
Hope this helped!
- profparis
Which statement is true about the graphs shown?
What is the volume of this figure?
Enter your answer in the box.
__ft3
(I already know the answer is 3300)
Answer:
[tex]3300ft^{3}[/tex]
Step-by-step explanation:
For this problem it is easier to split it up into two shapes. One being the big box(1) on top and the other being the small box(2) below it.
Volume of box 1:
[tex]Volume = length*width*height[/tex]
[tex]Volume of Box 1 = 25ft*(20+4)ft*5ft = 3000ft^{3}[/tex]
Volume of box 2:
[tex]Volume = length*width*height[/tex]
[tex]Volume of Box 2 = 25ft*4ft*(8-5)ft=300ft^{3}[/tex]
Total volume:
[tex]Total Volume = Volume of Box 1 + Volume of Box 2 = 3000ft^{3}+300ft^{3} = 3300ft^{3}[/tex]
The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.
Let us split the given figure into two cuboids
The dimensions of one cuboid = 20 ft*25 ft *5ft
The dimension of the other cuboid = 4 ft*25ft * 8ft
So, the volume of the figure will be the sum of the volume of both the cuboids.
What is the volume of a cuboid?The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.
So, the volume of the cuboid with dimensions 20 ft*25 ft *5ft
= 20*25*5
=2500 ft³.
The volume of the cuboid with dimensions 4 ft*25ft * 8ft
=4*25*8
=800 ft³.
So, the volume of the figure = 2500 + 800 =3300 ft³.
Therefore, the volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.
To get more about cuboids visit:
https://brainly.com/question/22694657
17. Classify Each Angle Pair then find the value of X
Given -
If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,To find -
m∠2.Concept -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
Solution -
[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]
[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18(x+1)=180}[/tex]
[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]
[tex]\rightarrow\sf{x+1=10}[/tex]
[tex]\rightarrow\sf{x=10-1}[/tex]
[tex]\rightarrow\boxed{\bf{x=9}}[/tex]
m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
what is 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2 in exponential form?
whoever answers correctly gets brainliest!
Answer:
[tex]2^9[/tex]
Step-by-step explanation:
Since there are nine 2s being multiplied by each other, we can represent this as [tex]2^9[/tex].
Answer:
2^9
Step-by-step explanation:
there are 9 2's and since it has to be in exponential form its 2^9
HELP! GIVING BRAINLIEST IF ANSWERED CORRECTLY AND FOR EACH SECTION!!!
Use the diagram below, if m∠AEC=41°, find each angle measure
Answer:
[14] 139
[15] 90
[16] 41
[17] 49
[18] 139
[19] 131
Step-by-step explanation:
[14] Since m ∠ CEB is vertical with m ∠ AED = 139
[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree
[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41
Note: vertical angles are angles opposite each other where two lines cross.
[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49
[18] To Find m ∠CEB we have to subtract from m ∠ DEB
180 - 41 = 139
[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41
Then m ∠ AEF = 90 +41=131
~Lenvy~
There were 500 animals at an animal shelter. On Saturday, 20 of the dogs and 15 of the cats were adopted. What percentage of the animals were adopted that day?
10%
5%
35%
7%
Answer:
7%
Step-by-step explanation:
First, let's add the 20 dogs and 15 cats together to find the total number of animals adopted
20 + 15 = 35 animals adopted
We cand do 35 ÷ 200 to find how much of a percent 35 is of 500
35 / 500 = 0.07
Multiply this number by 100 to get a percent
0.07 × 100% = 7%
7% of the animals