Answer:
h = 15.13 cm
Step-by-step explanation:
Lateral Surface Area of a Cone
Given a right circular cone of base radius r and height h, the lateral surface area is given by:
[tex]A=\pi r\sqrt{r^2+h^2}[/tex]
We are given the lateral area of a funnel as A=236.64 square cm and the radius is r=4.75 cm. It's required to find the height of the cone. It can be calculated by solving for h.
Squaring:
[tex]A^2=\pi^2 r^2(r^2+h^2)[/tex]
Dividing by [tex]\pi r^2[/tex]
[tex]\displaystyle \frac{A^2}{\pi^2 r^2}=r^2+h^2[/tex]
Subtracting [tex]r^2[/tex]:
[tex]\displaystyle \frac{A^2}{\pi^2 r^2}-r^2=h^2[/tex]
Taking square root:
[tex]\displaystyle h=\sqrt{ \frac{A^2}{\pi^2 r^2}-r^2}[/tex]
Substituting the values:
[tex]\displaystyle h=\sqrt{ 251.472-22.5625}[/tex]
[tex]\displaystyle h=\sqrt{ 228.909}[/tex]
h = 15.13 cm
What is the surface area of the right triangular prism
A 2,127 square centimeters
B 2,367 square centimeters
C 4,440 square centimeters
D 5,920 square centimeters
Answer:
A
Step-by-step explanation:
Area of a base: 16 × 15 ÷ 2 = 120
Area of sides:
37 × 15 = 555
37 × 16 = 592
37 × 20 = 740
Area of prism: 2 × 120 + 555 + 592 + 740 = 2127
Are the triangles congruent? State why.
Answer:
I think it is Yes, SAS
Step-by-step explanation:
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car shows it can drive 370 miles on 20 gallons of gas. How far could you drive on 65 gallons of gas?
Answer:
1202.5 miles
Step-by-step explanation:
It is given that.
A test of a new car shows it can drive 370 miles on 20 gallons of gas.
We need to find how far you could drive on 65 gallons of gas.
20 gallons of gas = 370 miles
1 gallon = 18.5 miles
For 65 gallons of gas, multiply 65 and 18.5.
65 gallons = 18.5 × 65 miles
= 1202.5 miles
Hence, 1202.5 miles you could drive on 65 gallons of the gas.
Mrs. Merriweather removed four strips of wallpaper border from her laundry room. The first piece was 110 centimeters long. The second piece was 1.5 meters long. The third piece was 125 centimeters long, and the fourth piece was 205 centimeters long. What was the total length of the wallpaper border Mrs. Merriweather removed?
Answer:
590 centimeters
Step-by-step explanation:
i need help please this is timed
Answer:
The answer is A.
Step-by-step explanation:
.........answer this for me plz ill give brainliest
Answer:
I think I donot say it is correct only peridect 4cm*4cm*3cm*8cm=384cm
Answer:
18
Step-by-step explanation:
area of the square-->12
area of the triangle--->6
area of the square + area of the triangle = area of the trapezoid
12+6=area of the trapezoid
18 = area of the trapezoid
Solve the system by substitution y=6x and 7x-8y=-41
Answer:
x = 1
y = 6
Step-by-step explanation:
y = 6x --------------(I)
7x - 8y = -41 ------------(II)
Substitute y =6x in equation (II)
7x - 8*(6x) = -41
7x - 48x = -41 {Combine like terms}
-41x = -41
x = -41/-41
x = 1
Plug in x = 1 in equation (I)
y = 6*1
y = 6
Write an equation of a line that passes through the point (4, 3) and is perpendicular to the graph of the equation y= -1/3x+4
please help i’ll mark as brainlist but please
Answer:
you have a line with slope = -1/3. A line perpendicular to that has to have slope that's the negative reciprocal, or 3.
So we have a slope and a point. The line in point-slope form is
(y-3) = 3(x-4).
You can convert that to another form if you need to
any more help just ask :)
2x^2-11x + 5.o-x^2 + 4x +371 =0
PLEASE HELP WILL AWARD BRAINLIEST TO BEST ANSWER!!!
Answer:
MO = 8 units
MP = 4 units
Step-by-step explanation:
[tex] In\: \triangle MOP, \\
\angle P = 90\degree ... (given) \\
\angle M = 60\degree ... (given) \\
\therefore \angle O = 30\degree(3^{rd} \: \angle \: of\: \triangle) \\
Let \huge\purple {MO = x \: units}... (1)\\
\therefore MP = \frac{1}{2} \times MO\\(side\: opposite \: to\: 30\degree) \\\\
\therefore MP = \frac{1}{2} \times x\\\\
\huge\red {\therefore MP = \frac{1}{2} x}.... (2)\\\\
\therefore PO = \frac{\sqrt 3}{2} \times MO\\(side\: opposite \: to\: 60\degree) \\\\
\therefore PO = \frac{\sqrt 3}{2} \times x\\\\
\huge\orange{\therefore PO = \frac{\sqrt 3}{2}x} \\\\
\because MP + PO + MO = P(\triangle MOP) \\\\
\therefore \frac{1}{2} x+\frac{\sqrt 3}{2}x+ x = 12+4\sqrt 3\\\\
\therefore \frac{1}{2} x+x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\
\therefore \frac{3}{2} x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\
\therefore \frac{(3+\sqrt 3)}{2} x= 4(3+\sqrt 3)\\\\
\therefore x = 4(3+\sqrt 3)\times \frac{2}{(3+\sqrt 3)}\\\\
\therefore x = 4\cancel{(3+\sqrt 3)}\times \frac{2}{\cancel {(3+\sqrt 3)}}\\\\
\therefore x = 4\times 2\\\\
\therefore x = 8\\\\
\huge\purple {\boxed{\implies MO = 8}} \: \\ [From\: equation \: (1)]\\\\
\because MP = \frac{1}{2} x \:
\\ [From\: equation \: (2)]\\\\
\therefore MP = \frac{1}{2} \times 8\\\\
\huge\red {\boxed{\therefore MP = 4 \: units}}
[/tex]
On mercury, the distance d (in feet) that an object falls in time t(in seconds) can be modeled by the function f(t)=6t^2. how long would it take an object to fall 54 feet on Mercury. ( plz show the work on how u got the answer)
Answer: t=3.75
Step-by-step explanation:45=6t×2
6t=22.5
t=3.75
The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the function,
f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.
At f(t) = 54 feet
6t² = 54
t² = 54/6 = 9
t = 3 seconds
Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".
For more about the function,
brainly.com/question/23712366
#SPJ2
Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 per mile driven. Alejandro has $350 to spend on the rental car fees. Write an inequality to determine how many miles Alejandro can afford to drive.
Answer:
(199+0.32)minus 350
Step-by-step explanation:
199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it
If you can answer that would be nice, thank you.
What type of angle is shown here?
Answer:
I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.
Here are the prices of some items and the amount of sales tax charged on each in Nevada. row 1 cost of item ($) sales tax ($) row 2 10 0.46 row 3 50 2.30 row 4 5 0.23 What is the sales tax rate in Nevada
Answer:
4.6%
Step-by-step explanation:
Cost of item __ sales tax
10 ___________0.46
50 __________ 2.30
5 ___________ 0.23
To obtain the sales tax % :
Sales tax % * cost of item = amount of sales tax
Let sales tax % = x
Using any of the rows in the table :
x * 10 = 0.46
x = 0.46 / 10
x = 0.046
x = (0.046) * 100% = 4.6%
Can someone please help me answer question 17
Answer:
Concepts: Basic Linear Algebra
X Cartons 1 Carton = 12 eggs Y Carton 1 Carton = 18 eggs72 eggs total Hence 12X + 18Y = 72 To meet your question guidelines: 12X+18Y-72=0The sum of a rational number and an irrational number is_____number.
rational number or a irrational number
Answer:
The sum of a rational number and an irrational number is irrational number.
^^down plz help I’ll make another question and give u brainlist plus brainlist on this question
Answer:
i believe it is 5 im not sure
Step-by-step explanation:
If there are 30 boys and 20 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
3 to 2, 6 to 4, 18 to 6, etc.
As long as you multiply 3 and 2 by the same number, you will get a correct answer to this problem.
Step-by-step explanation:
boys to girls
30 to 20
3 to 2
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos
cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of
$78.50 and sold a total of 87 nachos and sodas combined. Which system of equations
represents this situation?
Answer:
x+y = 87
1.5x+0.5y = 78.5
Step-by-step explanation:
Let x = number of nachos sold and y = number of sodas sold
x+y = 87 because that's the total number of nachos and sodas he sold
1.5x+0.5y = 78.5 because nachos cost $1.50 and sodas cost $0.50 and David made a total of $78.50
Find the apothem of a regular pentagon with a side length of 10
Answer:
GGGG
Step-by-step explanation:
GGGGG
Answer:
20
Step-by-step explanation:
도와주세요
Please Help!!!!
Answer:
(c) is the right answer
go for it
hope it helps you
Step-by-step explanation:
please mark me as brainliest please
HELP PLS QUICK!!!!!!
Put the following in order from smallest to largest
0.2, 1/2 60%
Answer:
From smallest to largest
0.2, 1/2, 60%
Step-by-step explanation:
:)
Answer:
0.2, 1/2, 0.6/60%
Step-by-step explanation:
please help it is due today
Answer:
4 2/5 tons
Step-by-step explanation:
2/5 = 4/10 = .40
4.40 tons > 4.3 tons
Un automóvil lleva una velocidad variable a lo largo de un trayecto de errática de modo que no podemos usar la fórmula v=d/t ni las fórmulas de M.U.A como se puede conocer la velocidad de este automóvil en un instante particular
Answer:
Podemos determinar la velocidad del automóvil mediante diferencias sucesivas tanto en el dominio del tiempo como en el dominio de la posición:
Dominio del tiempo
[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex]
Dominio de la posición
[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex]
Step-by-step explanation:
En este caso, es necesario tener una función que represente a esta en función del tiempo o de la posición si nos basamos en las definiciones diferenciales de aceleración ([tex]a(t)[/tex]), medida en metros por segundo al cuadrado, es:
[tex]a(t) = \frac{dv}{dt}[/tex] (1)
[tex]a(s) = v(t)\cdot \frac{dv}{ds}[/tex] (2)
Donde:
[tex]v(t)[/tex] - Velocidad del automóvil, medida en metros por segundo.
[tex]\frac{dv}{dt}[/tex] - Primera derivada de la velocidad con respecto al tiempo, medida en metros por segundo.
[tex]\frac{dv}{ds}[/tex] - Primera derivada de la velocidad con respecto a la posición, medida en [tex]\frac{1}{s}[/tex].
A continuación, analizamos cada ecuación:
Eq. 1
Procedemos a despejar la diferencial de velocidad e integramos la expresión resultante:
[tex]v_{f}-v_{o} = \int {a(t)} \, dt[/tex] (3)
[tex]v_{f} = v_{o}+\int {a(t)} \, dt[/tex]
Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:
[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex] (3b)
Eq. 2
Procedemos a despejar la velocidad e integramos la expresión resultante:
[tex]\int {v} \, dv = \int {a(t)} \, ds[/tex] (4)
[tex]\frac{1}{2}\cdot v_{f}^{2}-\frac{1}{2}\cdot v_{o}^{2} = \int {a(s)} \, ds[/tex]
[tex]\frac{1}{2}\cdot v_{f}^{2} = \frac{1}{2}\cdot v_{o}^{2}+\int {a(s)} \, ds[/tex]
[tex]v_{f}= \sqrt{v_{o}^{2}+2 \int {a(s)} \, ds }[/tex]
Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:
[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex] (4b)
5.5.5.5.5.5. in expanded form
Answer:
You can't even do that I'm pretty sure
Step-by-step explanation: Too many decimals points
How long does it take a snail to crawl 77 inches
Answer: about 2 minutes and 47 seconds
Step-by-step explanation:
If you know this please help and explain this for me thanks
Answer:
y int is (0,5)
slope is m=-2
y=-2x+5
Step-by-step explanation:
The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)
Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.
Name the property that the statement illustrates.
Answer:
Symmetric Property of Congruence
Step-by-step explanation:
Reflexive:
A ~= A
B ~= B
Symmetric:
A ~= B then B ~= A
Transitive:
If A ~= B and B ~= C, then A ~= C
Hello pls help this is due today and do not comment on anything that is out of the subject.
Answer:
lol
Step-by-step explanation:
hehhehehehhhheeeeehhhee u cant stop me
What is the vertical change when the horizontal change is 1?
Answer:
It should be 2.
Step-by-step explanation:
The slope for this graph is 1/2 or 1 horizontal for every 2 verticals.
Answer:
It’s 2 I’ve done this before
Step-by-step explanation: