Answer:
12 mintes
Step-by-step explanation:
u add
Two different right cones are being considered by a design team to hold one liter (1000
cubic centimeters) of oil. Design A has a height that is double the diameter of the base.
Design B has a height that is triple the diameter of the base. Which design has a smaller
surface area? What percent less is that surface area?
Answer:
The surface area of Design A is smaller than the surface area of Design B.
The area of Design A is 94.65% of the Design B.
Step-by-step explanation:
The area of a right cone is given by the sum of the circle area of the base and the lateral area:
[tex] A = \pi r^{2} + \pi rL [/tex] (1)
Where:
r: is the radius
L: is the slant height
The slant height is related to the height and to the radius by Pitagoras:
[tex] L^{2} = H^{2} + r^{2} [/tex]
[tex] L = \sqrt{H^{2} + r^{2}} [/tex] (2)
By entering equation (2) into (1) we have:
[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]
Now, let's find the area of the two cases.
Design A: height that is double the diameter of the base, H= 2D = 4r
[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]
The volume of the cone is:
[tex]V = \frac{1}{3}\pi r^{2}H[/tex]
We can find "r":
[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]
[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]
The area is:
[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]
Design B: height that is triple the diameter of the base, H = 3D = 6r
The radius is:
[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]
The area is:
[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]
Hence, the surface area of Design A is smaller than the surface area of Design B.
The percent of the surface area of Design A is less than Design B by:
[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]
Therefore, the area of Design A is 94.65% of the Design B.
I hope it helps you!
Use a periodic table to calculate the applicable molar mass. Density of water is 1kg/1L.
A solution was made with 300 grams of (C3H5OH) and 500 grams of water.
What is the molarity of this solution?
Question 2 options:
0.19
0.81
10.33M
19 M
Answer:
What is the molarity of this solution is 0.81
Step-by-step explanation:
Answer option B) 0.81.
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answer:
20400
Step-by-step explanation:
Write an equation for the line in slope-intercept
form.
Answer:
y = 2x + 3
Step-by-step explanation:
I need to know is One percent is greater than zero percent
Answer:
yes 1% is greater than 0% because 0 is nothing and 1 will always be greater than 0 unless there is something i dont know about UwU
Step-by-step explanation:
39 BRAINLY POINTS PLEASE HELP.
SYSTEM OF INEQUALITIES.
The area of the base (B) of a shipping box is 14 1 2 in2. The height (h) of the box is 2 1 4 in. When determining the volume of the box, which statements are correct?
Answer:
[tex]V = 32\frac{5}{8}in^3[/tex]
Step-by-step explanation:
Given
[tex]B = 14\frac{1}{2}in^2[/tex] --- Base Area
[tex]h = 2\frac{1}{4}in[/tex] --- Height
Required
Correct statement to calculate the volume of the box.
No options were given. So, the general explanation is as follows.
Given the base area and the height of the box, the volume is calculated by multiplying the given base area and the height.
So, we have:
[tex]Volume (V) = Base\ Area * Height[/tex]
[tex]V = B *h[/tex]
[tex]V = 14\frac{1}{2} * 2\frac{1}{4}[/tex]
Convert to improper fractions
[tex]V = \frac{29}{2} * \frac{9}{4}[/tex]
[tex]V = \frac{29*9}{2*4}[/tex]
[tex]V = \frac{261}{8}[/tex]
[tex]V = 32\frac{5}{8}in^3[/tex]
3x+-2y=-6
5x-2y=7
how do i solve this Elimination pls
Answer:
[tex]x=\frac{13}{2}, y=\frac{51}{4}[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}[/tex]
[tex]Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}[/tex]
A plane flies 220 miles in an hour with the jet stream. The return flight against the jet stream to the the original hangar takes 2
hours. Which system of linear equations can be used to find the rate of the jet stream and the speed of the plane?
A)
x + y - 440
x - y - 110
B)
x + y = 220
x-y-110
9.
x + y = 220
x+y=110
D)
x + y = 220
x - y = 220
Answer:
B
Step-by-step explanation:
The largest group in the plant kingdom is :
A.) fungi
B.) nonvascular plants
C.) protist
D.) vascular plants
Answer:B
Step-by-step explanation:
Who is the volume of a sphere that has the radius of 3 inches
Answer:
113.1
Step-by-step explanation:
i just did the math
Answer:
113.1 is the answer
I just multiplied
HELPPPPPPPPPPPPPP MEHHHHHHHHHHHH I HAVE A D+ AND GRADE GO OUT THIS FRIDAY PLZZZZZZZZZ HELPPPPPPPPPPP
Please help. Will give Brainliest!!
Answer:
a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{3a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
3a = 2[tex]\sqrt{2}[/tex] ( divide both sides by 3 )
a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]
Answer:
we have
sin 45=perpendicular/hypotenuse
1/√2=2/3a
3a=2√2
a=2√2/3=0.94
There were 11 students running in a race how many different arrangements of first second and third place are possible
Answer:
990Explanation:
For first place, we have 11 choices
11 × __ × __
For second place, we have 10 choices
11 × 10 × __
And for third place, we have 9 choices
11 x 10 x 9 = 990 ways
This is also a permutation
11! / (11-3)! = 990
Hope it helps
Evaluate F (-5) and f(2) without a calculator 
Answer:
f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.
Two stakes are holding a small blimp in place. Stake A measures
an angle of elevation of 49° and Stake B measures an angle of
elevation of 58º. If the string attached to Stake A has a length of
148 feet, what is the length of the string attached to Stake B?
Answer: 131.7 ft
Step-by-step explanation: use 148 as side measure b, then solve for measure of side a
with two given angles and one given side, use law of sines.
a = b•sin(A)/sin(B) = 131.71071
c = b•sin(C)/sin(B) = 166.89278
if you want to find angle measures:
180-A-B
180-49-58=73
C=73
The length of the string attached to stake B is 166.3 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
An angle of elevation of stake A = 49°
The length of the string attached to stake A,a = 148 feet
An angle of elevation of stake B = 58°
Let the length of the string attached to stake B be b.
Then by law of sines,
[tex]\frac{Sine A}{a}=\frac{Sine B}{b}[/tex]
On substituting the above values,
⇒ [tex]\frac{Sine 49}{148}=\frac{Sine 58}{b}[/tex]
⇒ [tex]b=\frac{(Sine 58)(148)}{Sine49}[/tex]
⇒ [tex]b=\frac{(0.8480)(148)}{0.7547}[/tex]
⇒ [tex]b=166.29[/tex] ≈ [tex]166.3[/tex]
Hence we can conclude that the length of the string attached to stake B is 166.3 feet.
Learn more about trigonometry here
https://brainly.com/question/13098194
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The vertices of trapezoid ABCD are A(3,-2), B(7,-2), C(8,- 7), and D(1, - 7). Graph ABCD and
A'B'C'D', its image after a reflection across the x-axis.
Answer:
B
Step-by-step explanation:
When reflecting a figure over the x-axis, flip the sign of the y-coordinates for the vertices.
For this figure, trapezoid ABCD, the vertices are:
A (3, -2)
B (7, -2)
C (8, -7)
D (1, -7)
Flipping the signs of the y-coordinates gives us:
A (3, 2)
B (7, 2)
C (8, 7)
D (1, 7)
The only graph that has trapezoid A'B'C'D' with vertices matching these four values is the graph for B, so the answer is B.
find the product of 8(4/7-/18)
Answer:
keep it simple C
Step-by-step explanation:
please help me out!!!!
PLEASE HELP ASAP f(x) = x2 What is g(x)?
O A. g(x) = (4x)2
O B. g(x) = 1/4x2
O c. g(x) = 4x²
O D. g(x) = 16x²
Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
can someone please help me
Answer:
It would be 1 since x is directly = to y
Step-by-step explanation:
If the width is 2 cm, the length is 4 cm, and the height is 1.5 cm, find the volume of
the prism.
find the domain and the range
Answer:
D: all real numbers, R: y ≤ -4
Step-by-step explanation:
R: y ≤ -4
Because the line doesn't go beyond -4.
Sabendo que 12 é raíz de p(x)=x²–mx+6 determine o valor de m A)25 B)2 C)14 D)12,5 E)7,5
Answer:
b
Step-by-step explanation:
Help plz i have 20 mins left
Answer:
Base = 81 Exponent = 3 raised to the power of 4 Repeated multiple = 3 x 3 x 3 x 3
The value = 81
Step-by-step explanation:
My bad if im wrong on any of em
Answer:
1. 3
2. 4
3. 3x27=81
4. 81
Step-by-step explanation:
The two triangles are congruent. Find the unknown variables. PICTUCE PROVIDED WILL GIVE BRAINLISET
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping. 2/3 of the caramel apples are covered with peanuts. 1/5 are covered with chocolate chips. 1/10 are covered with coconuts
The rest are covered with sprinkles. How many caramel apples are covered with sprinkles?
Answer:
Step-by-step explanation:
select all the expressions that equal
What is the area of the square?
5 cm
200 cm?
O 100 cm
O 25cm
2
O 60cm
I need how you did it too
Answer:
100cm^2
Step-by-step explanation:
5×2=10 which is one side
base×height=area
10×10=100
Find the
3 m
Diameter=
Circumference =
Area =
Answer:
Answers below
Step-by-step explanation:
Radius = 3m
Diameter:
d = 2r
d = 2(3m)
d = 6m
Circumference:
c = 2πr
c = 2π(3m)
c = 6π m
c = 18.85 m
Area:
A = 2πr^2
A = 2π(3m)^2
A = 18π m^2
A = 56.55 m^2
Please mark brainliest if this helped
Please mark brainliest if this helped
