We are required to find the volume of the object which comprises of a cylinder and a cone
The volume of the object is 108 in³
Volume of a cylinder = πr²h
π = 3
r = diameter / 2 = 4 in / 2 = 2 in
h = 8 in
Volume of a cylinder = πr²h
= 3 × (2 in)² × 8 in
= 3 × 4 in² × 8 in
= 96 in³
Volume of a cone = πr²h/3
= (3 × (2 in)² × 3 in) / 3
= (3 × 4 in² × 3 in) / 3
= 36 in³ / 3
= 12 in³
The volume of the object can be found by adding the volume of the cylinder and the volume of the cone
Total volume = Volume of a cylinder + Volume of a cone
= 96 in³ + 12 in³
= 108 in³
Read more:
https://brainly.com/question/24372707
19x - 45 = 240
Plz solve for x
Answer:
[tex]x=15[/tex]
Step-by-step explanation:
[tex]19x-45=240[/tex]
[tex]19x-45+45=240+45[/tex] (Add [tex]45[/tex] to both sides of the equation to isolate [tex]x[/tex])
[tex]19x=285[/tex] (Simplify)
[tex]\frac{19x}{19} =\frac{285}{19}[/tex] (Divide both sides of the equation by [tex]19[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]\bf x=15[/tex] (Simplify)
Hope this helps!
Answer:
x = 15
Step-by-step explanation:
To solve this problem we want to get the variable "x" on one side by itself.
(Step 1: Re-write equation)
19x - 45 = 240
(Step 2 : add 45 on both sides.)
19x - 45 = 240
+45 +45
--------------------------
19x = 285
(Step 2: Divide 19 on both sides)
19x/19 = 285/19
x = 15
Hope this helps :)
change 0.625 to a percentage
Im pretty sure that its 62.5%
Answer:
62%
Step-by-step explanation:
If you need to round to nearest percent it will be 63%
Pls answer all questions
5:-c
The 3multiples are 25,50,75
6:-c
[tex]\\ \sf\longmapsto 6\:of\:2+9-5[/tex]
[tex]\\ \sf\longmapsto 6(11-5)[/tex]
[tex]\\ \sf\longmapsto 6(6)[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
7:-a
12,17
8:-c
22=2×1188=2×2×2×11HCF=2×2×11=44
9:-c
LCM of 9 and 5 is 45 hence its true
10:-c
HCF of two consecutive numbers is 1
Uploaded this one again! Hopefully y’all can see it better
Is -6/11 a irrational number?
Answer:
No
Step-by-step explanation:
One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.
-6/11 is a fraction with integer numerators and denominators.
Therefore it is rational.
Use the table to find an quadratic equation of best fit.
Answer:
[tex]y = 5 {x} + 1[/tex]
when x is 0:
y = 5(0) + 1
y = 1 ( 5th box )
when x is 1:
y = 5(1)+1
y = 6 ( 6th box )
hence true for other values
Answer:
y=0.6x2+5x+1.1
Step-by-step explanation:
gjtgdgjdgdjxjfsbgsyuahjduegd love
A measuring cylinder of radius 3cm contains water to a height of 49cm. if this water is poured into a similar cylinder of radius 7cm, what will be the height of the water column
Hey there! I'm happy to help!
Hey there! I'm happy to help!
First, let's find the area of the circle of the first cylinder. To do this, we square the radius and multiply by 3.14.
3²=9
9×3.14=28.26
Now we multiply by our height of 49 cm to see how much water there is.
28.26×49=1384.74
Now, let's find the area of the circle of the 7 cm cylinder.
7²=49
49×3.14=153.86
Now, we will take our liquid amount (volume) and divide by this circle amount (base) to find the number of centimeters of height of the water column.
1384.74÷153.86=9
So, the height of our water column will be 9 cm.
Have a wonderful day and keep on learning! :D
Find the arc length of the partial circle.
Answer:
arc length = 4π units
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 8 × [tex]\frac{1}{4}[/tex]
= 2π × 2
= 4π units ← exact answer
please please please help me with this assignment :)
Answer:
$45.63
Step-by-step explanation:
[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]
or all together
50,145 cm³ * 2.6 g/cm³ * 0.35/kg = $45.63
find a number such that when 3/4 of it is added to 3½the sum is the same as when 2/3 of it is subtracted from 6½. PLEASE HELP
Answer:
- 120
Step-by-step explanation:
call x is the number you want to find
(3/4 )x + 3[tex]\frac{1}{2}[/tex] = (2/3)x - 6[tex]\frac{1}{2}[/tex](3/4)x + (7/2) = (2/3)x - (13/2)(3/4)x - (2/3)x = - (13 /2) - (7/2)(1/12)x = -10x = -10 / (1/12) = -120use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angles supplement.
the measure of the angle is twenty-nine times greater than its supplement
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The interquartile range is determined by the formula _____________.
A. Third quartile – First quartile
B. Third quartile + first quartile
C. First quartile – third quartile
D. Maximum – minimum
Answer:
A-Third quartile-First quartile
Step-by-step explanation:
The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot
Please help ME ASAP!!Please explain the answer
Answer:
It seems like you misunderstood the instructions, though I don't blame you because they wrote it strangely. I believe that you're supposed to draw your own conclusion and then explain how you go there, rather than analyze a conclusion that was already drawn for you. If a long drive=a large fare, and you've been told that the driver has a long drive, you can draw the conclusion that "The fare will be large."
Given that Ray B A bisects ∠DBC, which statement must be true?
B is the midpoint of DC.
what is the answer to -3/7 x -1 2/3
Answer:
-9x-35/21
Step-by-step explanation:
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{7}* (-1\frac{2}{3})=\frac{-3}{7}*\frac{-5}{3}\\\\= \frac{5}{7}[/tex]
What is the volume of a sphere with a diameter of 7.7 ft, rounded to the nearest tenth
of a cubic foot?
Step-by-step explanation:
V=4/3πr^3
V=4/3π(3.85)^3
V=4/3π(57.066625)
V=4/3 (179.280089865)
V=239.04011982
V=239 ft^3
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
The first statement is incorrect
Step-by-step explanation:
1 1/5 is positive so it is greater than the negative numbers
-2 2/5 is more negative than -1 3/5 so it is to the left on the number line
-2 2/5 < -1 3/5 < 1 1/5
11/5 < -2 1/5 is not correct because 1 is bigger than -2
3.) Find the measure of the missing angle X:
Xº
120°
70°
Answer:
x=50
Step-by-step explanation:
Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.
The solution is : the measure of the missing angle X is x=50.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Let's look at the red angle.
if a flat line makes the angle 180, and the outer angle is 120,
subtract 120 from 180.
This will give you 60.
Now every angle of a triangle added together will give you the sum of 180.
So you already have 60 and 70,
which make 130 all together.
Subtract 130 from 180
i.e. (180-130) = 50
and we get the result of 50.
Hence, The solution is : the measure of the missing angle X is x=50.
To learn more on angle click:
brainly.com/question/28451077
#SPJ2
The equation y=1/4x represents a proportional relationship. What is the constant of proportionality?
A. 1/4
B. x
C. 0
D. 4
Answer:
k = 1/4
Step-by-step explanation:
A proportional relationship is
y = kx where k is the constant of proportionality
y = 1/4x
k = 1/4
Answer:
a. 1/4
Step-by-step explanation:
1/4 shows the relation of y and x. (that y is one fourth of x)
What was the most common rating in the 26-35 age group?
nal
Is
OA Excellent
ОВ.
Good
OC. Average
OD
Poor
O E both Average and Poor
Answer:
I think its average
Step-by-step explanation:
not sure:)
Answer: it is average
Step-by-step explanation: just done It
PLEASEE HELP ASAP........
Answer:
(C). 126
Step-by-step explanation:
[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]
x = 126
Answer:
Hello,
Answer C\\
Step-by-step explanation:
Triangle EUT is similar to triangle EGF
[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]
Express 4 in simplest radical form.
Answer:
2
Step-by-step explanation:
If m = 8 and n = 5, then man + 3) – n+1-
Answer:
P (−1)n(n+1)(n+2) (n+1)3 converges
Step-by-step explanation:
Can someone help? I’m almost done with this class.
Answer:
750
300
390, 570
120,750
2.28
15.87
Step-by-step explanation:
Help, I need this answered soon
Answer:
9.
Step-by-step explanation:
45 / [8(5 - 4) - 3]
= 45 / (8 * 1 - 3)
= 45 / (8 - 3)
= 45 / 5
= 9.
Hope this helps!
Ratios, Rates, and Percents
17:30
Question 16
Problem
Patricia traveled an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 60 miles per hour for 1.5 hours. What was the total distance in
miles that Patricia traveled during this time?
Answer:
382.5 :)
Step-by-step explanation:
took test
22. Find the area of circle with radius 7cm ( π)
Answer:
Sol:Here
Radius (R) =7cm
Area of circle (A) =pie*r^2
=22/7*7^2
=3.14*7^2
=3.14*49
=153.86
Answer:
A=49πcm²Step-by-step explanation:
A=πr²
Given r=7,A=π(7²)=49πcm²
intergrate x×(x²-3)³
Answer: [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]
Step-by-step explanation:
[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]
cho tam giác ABC cân tại A trung tuyến AM.Biết BC=6cm,AM=4cm .Tính độ dài các cạnh AB và AC
Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:
AM là trung tuyến của t/giác ABC nên M là trung điểm BC:
=> BM =BC/2 =6:2=3(cm)
Xét tam giác AMB vuông tại M
AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)
Hi!! Can you please help with this question and explain how to solve it??
Find the height in centimeters of a square pyramid with a volume of 144 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
9514 1404 393
Answer:
7.56 cm
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3b²h . . . . where b is the base edge length, and h is the height.
Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...
144 cm³ = 1/3h³
432 cm³ = h³
h = ∛432 cm ≈ 7.55953 cm
The height of the pyramid is about 7.56 cm.
Answer:
[tex]7.56cm[/tex]
Step-by-step explanation:
Given that,
base length = Height
so,
[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]
We can also write this as( according to this question)
[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]
let's solve
[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]
[tex]base = height = 7.55cm \\ [/tex]
= 7.56cm