Answer:
Total volume = (145/3)π in³
Step-by-step explanation:
First find the volume of the entire cylinder. The correct formula to use here is:
V = πr²h, where r is the radius and h is the height. Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is
V = π(2.5 in)²(8 in) = 50π in³
Next find the volume of the conical shape: V = (1/3)π(2.5 in)²(0.8 in)
The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:
π(2.5 in)²(8 in) = 50π in³ LESS (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:
Total volume =
50 π in³ - (1/3)π(2.5 in)²(0.8 in), or
(2.5 in)²π[8 in - 0.8/3 in] = π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or
Total volume = (145/3)π in³
Last question! I need help with showing my work! I already have the answer in the attached image below, thanks!
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\sqrt{\frac{4x^2}{3y} }[/tex]
= [tex]\frac{\sqrt{4x^2} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x}{\sqrt{3y} }[/tex]
Rationalise the denominator by multiplying the numerator/ denominator by [tex]\sqrt{3y}[/tex]
Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
= [tex]\frac{2x}{\sqrt{3y} }[/tex] × [tex]\frac{\sqrt{3y} }{\sqrt{3y} }[/tex]
= [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
help me with this pls like omg soooo stressful
Answer:
t =1
Step-by-step explanation:
3t - 18 = 4(-3-3/4t)
Distribute
3t - 18 = -12 -3t
Add 3t to each side
3t -18+3t = -12 -3t+3t
6t -18 =-12
Add 18
6t -18+18 = -12+18
6t = 6
Divide by 6
6t/6 = 6/6
t =1
Answer:
t = 1
Step-by-step explanation:
start by distributing the 4 to whats in the parentheses.
4 (-3 - 3/4t)
-12 - 3t
*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator
now you have:
3t - 18 = -12 - 3t
add 18 to both sides
3t = 6 - 3t
add 3t to both sides
6t = 6
divide both sides by 6
t = 1
True or false a multiple of 3 must end in 6 or 9
Answer: False
Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.
Answer:
True
Step-by-step explanation:
What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42
Answer:
k = 29
Step-by-step explanation:
The sum of the two angles is 180 since they form a straight line
5k-3 + 9+k = 180
Combine like terms
6k +6 = 180
Subtract 6 from each side
6k = 174
Divide each side by 6
6k/6 = 174/6
k =29
Answer:
k=29
Step-by-step explanation:
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:5/3
Step-by-step explanation:
choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3
WILL BE GIVING BRAINLIEST
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3 = 5 1/3
Answer:
5 1/3
Step-by-step explanation:
16 = 3a
a = 16/3
= 5 1/3
Hope this helps!
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula and solve
Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
Need help presenting this solution on and number line and in interval notation. (I’m absolutely clueless haha)
Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.
See attached drawing.
For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]
Are you an expert? then answer this.
Answer:
a) n = 3
b) every 9 cm represents 175,000 km
Step-by-step explanation:
a) 20 min : 1 hour
Let's convert it into same units
⇒20 min : 60 min
÷ 20 ÷ 20
⇒ 1 : 3
So n = 3
b) 1 : 25,000
Which means every 1 cm on the map represents 25,000 km
And,
1 cm = 25,000 km
So,
9 cm = 25,000 × 9
9 cm = 175,000 km
So every 9 cm represents 175,000 km
Answer:
a) 3
b) 2.25 km
Step-by-step explanation:
a) 20 min : 1 hour = 1 : n
20 min : 60 min= 1 :3
n=3
b) 1: 25000 scale
1 mm : 25000 mm
9 cm = 90 mm
90 mm : 90*25000 mm
9 cm : 2250000 mm
9 cm : 2.25 km
can someone help and explain
Answer:
12 4/3 =40
Step-by-step explanation:
I hope that help u
I need help ASAP I shall give brainlyist (idk how to spell) figure out how much A cand hold and how much B can hold
Answer:
A) 84.78
B) 42.39
Step-by-step explanation:
A)
[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]
B)
[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]
Hope this helps!
-7 written as a fraction is _____
First gets a brainly :D
Answer:
[tex]47.25\[/tex]
Step-by-step explanation:
[tex]42 \times 1.125[/tex]
[tex]=47.25[/tex]
Answer:
$25.2
Step-by-step explanation:
The length of a rectangle is 15 meters more than the width. The perimeter is 50 meters. The width is:
Answer:
5 meters
Step-by-step explanation:
The perimeter of a rectangle can be expressed as 2l+2w.
2l+2w=50
l=w+15
Substitute:
2(w+15)+2w=50
2w+30+2w=50
4w+30=50
4w=20
w=5
Hope this helps!
Can anybody help with this one?
Answer: (-2,2)
see below
Step-by-step explanation:
Which expression is represented by the number line?
A number line going from negative 4 to positive 4. An arrow goes from negative 2.5 to negative 1, from 0 to 3, and from 3 to negative 2.5.
3 – 5.5 – 1.5
3 – 5.5 + 1.5
3 – 2.5 – 1
3 – 2.5 + 1
Answer:
3 – 5.5 + 1.5
Step-by-step explanation:
The number line described above is 3 – 5.5 + 1.5
Starting from our midpoint '0'
It moves 3 units to the right direction = +3
Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5
Therefore, we finally have ;
+3 - 5.5 + 1.5
Answer:
B) 3 - 5.5 + 1.5
find the total surface area of this cylinder. Give yor answer to 1 decimal place. Award is brainliest answer
Answer:
2261.95
Step-by-step explanation:
A=2πrh+2πr2
Answer:
2261.9
Step-by-step explanation:
the other users answer was correct, but not with 1 decimal place
How do you put 0.02 in scientific notation
Answer:
2 x 10^-2
Step-by-step explanation:
0.02 equals to 2/100
therefore 0.02= 2/102 (remember this is negative)
= 2x10^-2 (therefore -2)
The solution to the number 0.02 in scientific notation is 2 * 10⁻²
How to express the number 0.02 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 0.02
Multiply the number by 1
So, we have
Number = 0.02 * 1
Express 1 as 100/100
So, we have the following representation
Number = 0.02 * 100/100
Next, we have
Number = 2 * 1/100
Express 1/100 as 10⁻²
So, we have
Number = 2 * 10⁻²
Hence, the solution is 2 * 10⁻²
Read more about scientific notation at
brainly.com/question/1767229
#SPJ6
Find the value of x the triangle shown below
Answer:
[tex]82[/tex]
Step-by-step explanation:
[tex]24+74+x=180[/tex]
[tex]98+x=180[/tex]
[tex]x=180-98[/tex]
[tex]x=82[/tex]
Answer:
x =82
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
24+74+x = 180
Combine like terms
98+x = 180
Subtract 98 from each side
98+x-98= 180-98
x =82
PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
A fourth degree polynomial:
[tex]2x^{4} + 10x^{3} + 21[/tex]
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example
(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18
This demonstrates closure because 11x^2 + 18 is also a polynomial
Step-by-step explanation:
Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form
Part B: Closure property has been proved in the addition of polynomials
What is Polynomial?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Part A
Example of fourth degree polynomial with three terms is
[tex]x^{4}+2x+20[/tex]
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on
Hence, it is a standard form
Part B
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial
Example
(2x+6)+(5x+2)= 7x+8
Hence, the Closure property has been proved in the addition of polynomial
Learn more about Polynomial here
https://brainly.com/question/11536910
#SPJ2
acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab
Answer:
Step-by-step explanation:
A cone has a height of 7ft and a radius of 4ft which equation can find the volume of the cone v=1.3 (7.2)
Answer:
The volume of a cone is:
V=(hπr^2)/3, where h=height and r=radius
V=(7π4^2)/3
V=112π/3 ft^3
V≈117.29 ft^3 (to nearest hundredth of a cubic foot)
Step-by-step explanation:
Please help me! The answer choices are included in the picture.
Answer:
C
Step-by-step explanation:
Let's just look at the point G(3) = 3
this point only occurs through one equation which is
g(x) = (1/3)x^2
Answer:
The answer is 1/3x^2 or in your case C.
Step-by-step explanation:
Well I just add the points on Desmos graphing. The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.
Which of the following is the factored form of the quadratic *
4x^2+7x-15=0
1.(4x + 5)(x + 3)
2.(4x -5)(x + 3)
3.(4x - 5)(x - 3)
Answer:
2.
Step-by-step explanation:
(4x-5)(x+3)
=4x^2+12x-5x-15
=4x^2+7x-15
The value x is
Please help I’m stuck
Step-by-step explanation:
EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA
VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON
RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA
HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES
5x° = 55°
DESPEJA x
x = 55°/5° = 11
Someone answer ASAP pleaseee
Answer:
1. (4,2) and (-2,-4)
2. (6,3) and (3,-6)
3. (1,8) and (7,-4)
Step-by-step explanation:
Please HELP! WILL GIVE BRAINLIEST IF IT PROMPTS ME!
Ahhhh Im losing so many points
Answer:
reflect over line b
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
reflecting over b will put it in the same place bc b goes down the middle of the rectangle
if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal
Answer:
I would check:
reflect over line b and check
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.
If you rotate 180, then you will get the exact same shape just upsides down.
Thanks and please give brainliest have a nice day :)
(3x+8) (4x+10) what is the length
Evaluate 4 - 2(a2 – b2)2 when a = 3 and b = 2.
Answer:
-46
Step-by-step explanation:
4 - 2(a^2 – b^2)^2 =
= 4 - 2(3^2 – 2^2)^2
= 4 - 2(9 - 4)^2
= 4 - 2(5)^2
= 4 - 2(25)
= 4 - 50
= -46
Answer:
= -46
Step-by-step explanation:
4 - 2(a² - b²)²
= 4 - 2(3² - 2²)²
= 4 - 2(9 - 4)²
= 4 - 2(5)²
= 4 - 2(25)
= 4 - 50
= -46
difference in the abscissa of points A (4,3) and B (-7,2)
Answer:
The difference is 11 units
Step-by-step explanation:
When we talk of the abscissa, we are referring to the x-axis.
So what this question is asking us is the difference between the values of the x-axis
At point A, the value is 4 while at point B, the value here is -7
So the difference between this two would be 4-(-7) = 4 + 7 = 11 units