Answer:
T.S.A = 233.29 cm²
volume of the cone = 235.84 cm³
Step-by-step explanation:
Given;
diameter of the cone, d = 9 cm
radius of the cone, r = 4.5 cm
slant height of the cone, l = 12 cm
The total surface of the cone is calculated as;
T.S.A = πr² + πrl
T.S.A = πr(r + l)
T.S.A = 3.142 x 4.5(4.5 + 12)
T.S.A = 233.29 cm²
The volume of the cone is calculated as;
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where;
h is height of the cone
h² = 12² - 4.5²
h² = 123.75
h = √123.75
h = 11.12 cm
[tex]V = \frac{1}{3} \pi \times (4.5)^2 \times 11.12\\\\V = 235.84 \ cm^3[/tex]
someone PLSSSS HELPPP !! fast pls please
Answer:
A. i think
Step-by-step explanation:
Answer:
4, -16, 64, -256
the common ratio is -4
Step-by-step explanation:
Connor's balcony is 5 feet wide and 9 feet long. Connor paid $3.00 per square foot to have the balcony stained. How much did he pay?
Answer:
135
Step-by-step explanation:
9*5=45*3=135
write tge following numbers expanded forms.
23900068407
Answer:
Step-by-step explanation:
20000000000+3000000000+900000000+60000+8000+400+7
The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.
Step-by-step explanation:
everything can be found in the picture
The difference between an observational study and an experiment is that:
A. in an observational study, only one group is studied, and in an experiment, two groups are studied.
B. in an observational study, the researchers do not control treatment, and in an experiment, they do.
C. in an experiment, cause-and-effect is analyzed, and in an observational study, it is not.
D. in an experiment, one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time.
Answer:
B
Step-by-step explanation:
An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable
Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying to control or influence the population
3y - 5 (2x + 3) - 12
Answer:
The answer is 3y - 10x - 27
What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
Let R be the region bound by the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on theinterval 0 ≤ x < π.
b) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis.
c) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x = –1.
Answer:
b.
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
(c)
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
Step-by-step explanation:
b. The volume of solid formed is given by the washers formula as follows;
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;
[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]
(c) We have;
x = arcos(y - 2), x = arcsin(1/y)
At x = 0, y = 2 + cos(0) = 3
csc(0) = ∞
At x = π, y = 2 + cos(π) = 2 + -1 = 1
csc(π) = ∞
Therefore, we get;
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
How to find the integral volume of solid?
B) The volume of solid formed is gotten from applying the washers formula;
[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]
This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) From answer above, we have;
x = cos⁻¹(y - 2), x = sin⁻¹(1/y)
Now,
At x = 0; y = 2 + cos(0) = 3
csc(0) = 1/0 = ∞
Also,
At x = π; y = 2 + cos(π)
y = 2 + (-1)
y = 1
Also, csc(π) = ∞
Thus, we have;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
Read more about finding the integral volume of solid at; https://brainly.com/question/21036176
please help me guys I am in trouble
Answer:
16π
Step-by-step explanation:
The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:
π * 4^2 is equal to 16π
what is the scale factor from figure a to figure b
Answer:
1/2
Step-by-step explanation:
These two triangles are similar, so there is a scale factor. The heights and the bottom sides of each triangle are similar, figure A has a bottom length of 6, and figure B has a bottom length of 3. To get from A to B, you multiply by 1/2. So the scale factor is 1/2.
Alt Test 7 -6 -5 -4 -3 -2 -1 2 3 1 Le 6 N . 1 -Z -3 -4 รา -6 In this graph, the y-intercept of the line is The equation of the line is y= y X
Answer:
[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]
Complete the expanded form of this number.
6,738
Enter numbers from greatest to least place value starting on the left.
6,000 + 700 + 30 + 8 is the expanded from.
Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
what is the area of a flower pot that have the shape of a semi circle and its diameter 2.8cm?
Step-by-step explanation:
The area of a circle = pi r^2
d = 2r Divide by 2 to get the radius
r = d/2
The diameter = 2.8 cm
r = d/2
r = 2.8/2
r = 1.4
The area of the circle = pi * r^1
The area of the circle = 3.14 * 1.4^2
The area of the circle = 6.1544
But you are working with a semic circle
The area of a semicircle is 1/2 that of a circle
Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded
In a box there are n red marbles and three times as many black marbles. There are 36
marbles in the box. How many red marbles are in the box?
Answer:
it is 12
Step-by-step explanation:
for n= 36 divided by 3.
what is 2,457,310 rounded to the nearest thousand
Answer:
2,457
Step-by-step explanation:
The thousands place is when you move four spaces to the left starting from the first number. In this case, that number was seven, and to round, you need to round it up or down depending if the number to the left of the 4th number is greater or less than 5. In this case, that number was 3, so that 3 and the rest of the remaining numbers turn into 0's, making the rounded number 2,457.
I hope this information was of any use to you.
Answer:
2,457,000
Hope that this helps!
Find the value of k if the slope of the line 2x-ky+3=0 is 5/3
Answer:
6/5
Step-by-step explanation:
2x+3=ky
ky=2x+3
y=(2x+3)/k
y=2x/k + 3/k - > equation 1
y=mx + c - >equation 2
Comparing equation 1 and 2,
2/k=m
2/k=5/3
6/5=k
k=6/5
find the value of a²+b
if...
a=-2 and b=5
Answer:
9
Step-by-step explanation:
a^2 +b
Let a = -2 and b = 5
(-2)^2 +5
Exponents first
4 +5
Then add
9
Answer:
9
Step-by-step explanation:
Here, we have to observe that a^2 = a×a =-2 × -2 = 4
hence, a^2 + b = 4 + 5 = 9.
Plzz I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
(Spam/same words/diff pics/)
Answer:
Step-by-step explanation:
1)
9:10
+ 0:45
9:55
so at 9:55 she finished her eating.
2)
10:25
- 2:15
8:10
so test started at 8:10
3)
9:15
-7:30
2:15
si games duration was 2;15
4)
2:40
+25
3:05
se reached home at 3:05
Was this equation solved correctly? How do you know?
Subtract three from both sides
Combine like terms
Divide by 4 on both sides
Simplify
19 = 4x + 3
19 - 3 = 4x + 3-3
16 = 4x
16/4 = 4x/4
3 = x
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
Answer:
5 loaves
Step-by-step explanation:
13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.
Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:
13 1/3 = 40/3
2 2/3 = 8/3
40/3 / 8/3
When dividing by a fraction flip the fraction over and multiply
40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5
She made 5 loaves of bread.
Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya planta baja se caracteriza por tener una piscina, un gimnasio y una cancha deportiva. Batman tiene este bosquejo de dicho proyecto: Los terrenos destinados para la piscina, el gimnasio y la cancha deportiva son cuadrados, de modo que la superficie de la cancha es de 2.500 m2 y la de la piscina es de 1.600 m2 . ¿Cuál es la superficie destinada al gimnasio?
Answer:
El área del gimnasio sería 2000 metros cuadrados
Step-by-step explanation:
Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.
Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2
Por lo tanto, el lado del gimnasio sería 50 y 40.
El área del gimnasio sería 50 * 40 = 2000 metros cuadrados
Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
Pls help me answer this question. Picture attached
Answer:
300
Step-by-step explanation:
to find volume u will have to multiply the length x width x breadth which is 5x5x12=300
HELP
Use the definition of continuity and the properties of limits to show that’s the function…
Answer with Step-by-step explanation:
We are given that
[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]
x=-1
Using property of limit
[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]
=[tex](1+3-10)(3+5+4)[/tex]
=[tex](-6)(12)[/tex]
=[tex]-72[/tex]
[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]
[tex]g(-1)=(-6)(12)=-72[/tex]
[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]
Hence, the function is continuous at x=-1
You can solve a system of equations by translating it into a matrix,manipulating the matrix until it has eliminated terms,and then translating it back to equations
Answer:
True
Step-by-step explanation:
A system of equations can be solved by Translating the system of equations into a matrix by following theses steps
list all coefficients in a single matrix multiply the coefficient matrix with the variables matrixenter answers into a new matrixwrite out the resulting answer in form of equations.
A cubical reservoir has capacity of 480000 l itters of liquid. If ifs length and breadth are 10m and 8m respectively, find the hight of the reservoir.
Answer:
Height = 6000 m
Step-by-step explanation:
[tex]Volume = length \times breadth \times height \\\\480000 = 10 \times 8 \times height\\\\480000 = 80 \times height\\\\height = \frac{480000}{80} = 6000 \ m[/tex]
whats the factor:81x3-3000
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Answer:
3(3x - 10)(9x² + 30x + 100)
Step-by-step explanation:
Given
81x³ - 3000 ← factor out 3 from each term
= 3(27x³ - 1000 )← a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
27x³ - 1000
= (3x)³ - 10³
= (3x - 10)((3x)² + (3x)(10) + 10²)
= (3x - 10)(9x² + 30x + 100)
Then
81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form
PLEASE HELP
Find the number of edges on this solid
Answer:
8
Step-by-step explanation:
count the number of solid-black lines.
Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.
Answer:
5.4
Step-by-step explanation:
Juss took the test
