Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
Dan drove his truck 2436 miles in six months at that rate how far will he drive in 12 months
Answer:
4,872 miles
Step-by-step explanation:
Step 1:
2,436 : 6
Step 2:
2,436 : 6 = x : 12
Step 3:
6x = 29,232
Answer:
x = 4,872
Hope This Helps :)
If f(2) = 12 and f '(x) ≥ 3 for 2 ≤ x ≤ 5, how small can f(5) possibly be?
Answer:
21
Step-by-step explanation:
From our previous knowledge, if f'(x) = m ,
Then f(x) = mx+c
For a smaller value of f(5), m should be the smallest possible integer if m = 3
i.e. f(x) = 3x+c
replacing the value of x with 2 given from the question to get the value of c, we have:
f(x) = 3x+c
f(2) = (3×2)+c
where; f(2) = 12
12 = 6+c
- c = -12 + 6
- c = - 6
c = 6
Now, f(x) can now be;
f(x) = 3x + 6
f(5) = (3×5)+6
f(5) = 15 + 6
f(5) = 21
Therefore, smallest possible value of f(5) is 21
the intersection of a line and plane is a line
Can someone help me with this I will make you brainliset
Answer:
I believe the answer is statements 1, 4, and 6.
Step-by-step explanation:
Answer:
1.4 and 1.7
Step-by-step explanation:
59 in = how many feet and inches
Answer:
feet=4.91667
inches=708
Step-by-step explanation:
Answer:
4 ft. 11 in.
Step-by-step explanation:
Step 1:
59 ÷ 12
Step 2:
4 r 11
Answer:
4 ft. 11 in.
Hope This Helps :)
-8 (x - 3) = -32
Your answer
Joey Page earns $5.75 per hour at his part-time job. Last week he worked 25 hours. What was his gross
pay for the week
Answer:
143.75
Step-by-step explanation:
idk man use google or something
is 3.45445554 rational or irrational?
Answer:
3.45445554 is irrational.
Hope this helps!
Please can you mark as Brainliest!
Step-by-step explanation:
Answer:
[tex]3.45445554[/tex]
Rational number ✔️
rational number is the number that can form a fraction
What is the degree of the polynomial
write 24.23 as a mixed number in simplest form
Answer:
24 23/100
Step-by-step explanation:
Evaluate this function f(x)= -x2+6x+19 Find f(5)
Answer:
f(5) = -10+30+19 = 39
Step-by-step explanation:
f(5) = (-5)2+6(5)+19
-10+30+19
=39
27 mm converted to in m
1.063 inches
0.027 meters
hope it helps!
Can anyone help me with my algebra homework please ?
Answer:
She will practice 2.5 for week four
Step-by-step explanation:
The table is going by 0.5 so I added 0.5 +2 =2.5
Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?
Answer:
1.0638
Step-by-step explanation:
Given the question:
If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?
Torque = 12 Newton centimeter
Torque which is the turning effect on an object :
1 Newton = 0.225 pound force
1 centimeter = 0.394 inch
Hence ;
1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch
12 Newton centimeter is hence, equals :
(12 × 0.225 × 0.394) pound inch
= 1.0638 pound inch
8 1/3 in 10 minutes
find unit rate
Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?
Answer:
The answer to your question is 192 pretzels
Step-by-step explanation:
Data
number of pieces = 8
length of each piece = 2 ft
length of each pretzel = 1 in
number of pretzels = x
Process
1.- Convert ft to in
1 ft --------------- 12 in
2 ft --------------- x
x = (2 x 12) / 1
x = 24 ft
2.- Divide the length of each piece by the length of each pretzel
24/1 = 24 pretzels per piece
3.- Multiply the number of pretzels per the number of pieces
24 x 8 = 192 pretzels
If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?
To cover the room of given dimensions 4 gallons of paint is needed.
What is an Area?The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.
Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high
Surface area of room = 2(l+b)*h
= 2(30+20)*12
= 1200 in²
1 gallon for 300 in², therefore 1200/300 =4 gallons for 1200 in²
Hence, To cover the room of given dimensions 4 gallons of paint is needed.
For more references on Area, click;
https://brainly.com/question/27683633
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Solve
y
= x2 + 23 for x.
O A. x= y - 23
O B. = +Jy + 23
O C. X = +VÝ - 23
D. X = y +23
Answer:
x = ±√(y - 23)
Step-by-step explanation:
y = x^2 + 23 may be solved for x as follows:
Subtract 23 from both sides, to isolate x^2:
x^2 = y - 23
Take the square root of both sides. We get:
x = ±√(y - 23)
4.88 + 1.6*
What is the answer
Answer:
6.48 is the answer.
find the inverse function of g(x) = sqrt x-7
The inverse of g(x) is x² + 7
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
g(x) = √(x-7)
So after switching x and y,
g(x) = y = √(x - 7)
becomes
x = √(y - 7)
Now, we solve for y regularly.
g(x) = y = √(x - 7)
Solve for y :
⇒ y² = x - 7
⇒ x² = y - 7
⇒ y = x² + 7
Therefore the inverse of g(x) is x² + 7
Learn more about inverse function here:
brainly.com/question/2541698
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I WILL GIVE BRAINLIEST
6r3 + 3r3 − r2 =
Answer:
r²(9r-1)
Step-by-step explanation:
I did my work on a paper so I'm sorry i cant show you the work but i hope this helped
Answer:
r²(9r - 1)
Step-by-step explanation:
6r³ + 3r³ - r²
= 9r³ - r²
factorize by divide each by r²
= r²(9r - 1)
If f(x)=3x+19 find f (-3a-2)
Answer: f(-3a-2)=-9a+13
Step-by-step explanation:
To find f(-3a-2), we plug in -3a-2 into f(x).
f(-3a-2)=3(-3a-2)+19 [distribute]
f(-3a-2)=-9a-6+19 [combine like terms]
f(-3a-2)=-9a+13
Now, we know that f(-3a-2)=-9a+13.
solve the equation
what does x equal to
46+x÷6−21=25+6
Answer:
×=36
Step-by-step explanation:
46+1/6X-21=31
25+1/6X=31
1/6X=31-25
1/6X=6
X=36
2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it
by extending cach side 7 feet.
a. Represent the length and width of the original garden using an appropriate variable.
Width:
W.4
w
Length:
b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is
enlarged
Perimeter:
Answer:
P = 10W + 28
Step-by-step explanation:
Let L be the original length of the garden
W be the original width of the garden
If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W
If he is going to enlarge it by extending each side 7 feet, then;
The new length l = (4W + 7) feet
The new width will be w =(W+7) feet
Perimeter of the rectangular gerden P = 2(l+w)
l and w are the new length and width
Substituting l = 4W+7 and w = W+7 into the formula;
P = 2(4W+7+W+7)
P = 2(5W+14)
open the parenthesis
P = 10W + 28
Hence the perimeter of Mr. Kim's garden after it is enlarged is given by the expression P = 10W + 28
On the teacher’s desk there were r boxes of pencils, 20 pencils in each. If 23 students got p pencils each, how many pencils are still on the teacher’s desk?
Answer:
20r-23p
Step-by-step explanation:
A hose fills a hot tub at a rate of 3.01 gallons per minute. How many hours will it take to fill a 334 gallon hot tub?
Answer: I dont have the full answer, but this is what i could figure out.
Step-by-step explanation:
3.01 gallon per minute
60 minutes in an hour
3.01 times 60= 180.6
180.6 times 1.85= 334.11
I do not know what to do after this, I wish I could help more, but I hope someone or yourself can figure out the rest. Good luck!
In 0.356, which digit is in the thousandths place?
Answer:
6 is in the thousandths place
Step-by-step explanation:
lauren 3.26 lunch on Tuesday she spent 3.56 on Wednesday and 3.29 on thurday order the prices from greatest to least
Answer:3.56, 3.29, 3.26
Step-by-step explanation:3.56 is bigger than 3.29 and 3.29 is bigger than 3.26
Solve for x : 3xyz= P
Answer:
x = P/yz
Step-by-step explanation:
You just divide the left side by yz
Bob the builder wants to earn an annual rate of 10% on his investment how much should he pay for s note that will be worth 3,000 in 9 months
Answer:
2786 is the answer for the question