Answer:
Step-by-step explanation:
Smaller Canister:
Height, h = 12cm
Diameter = 9cm
Radius, r = 4.5 cm
[tex]Volume = \pi r^2h\\[/tex]
[tex]=\pi \times 4.5^2 \times 12\\\\=243 \pi \ cm^3[/tex]
[tex]Surface \ area = 2 \pi r(r + h)\\[/tex]
[tex]=2 \times \pi \times 4.5 ( 4.5 + 12)\\\\= \pi \times 9(16.5)\\\\=148.5 \ cm^2[/tex]
Larger Canister:
Measures double the smaller canister, that is
height, H = 24 cm
Diameter = 18cm
Radius, R = 9cm
[tex]Volume = \pi R^2 H\\[/tex]
[tex]= \pi \times 9^2 \times 24\\\\= \pi \times 81 \times 24 \\\\= 1944 \pi[/tex]
[tex]Surface \ area = 2 \pi R(R+ H)[/tex]
[tex]= \pi \times 2 \times 9 ( 9 + 24) \\\\= \pi \times 18(33)\\\\=594 \pi \ cm^2[/tex]
Comparing results :
[tex]Volume_{small} = \pi r^2 h\\\\Volume_{large} = \pi R^2 H = \pi(2r)^2(2h) = \pi(4r^2)(2h)= 8 \pi r^2h = 8 \times volume_{small}[/tex]
Therefore, volume of larger canister is 8 times the volume of smaller canister.
[tex]Surface\ area _{larger} = 2 \pi R(R + H) = 2 \pi(2r)((2r+2h))\\\\[/tex]
[tex]=2 \ pi \times 2r \times 2 (r+ h)\\\\= 4 \times 2\pi r(r+ h) \\\\= 4 \times surface\ area_{smaller}[/tex]
Therefore, surface area of larger canister is 4 times the surface area of smaller canister.
this is my weakest subject i really need some help
y1 x-1. ......
Step-by-step explanation:
Y = 1 X = -1.
PLEASE HELP!!! Between which two consecutive integers is the value of x?
c). (x/3)^3=124
d). (x/2 -1)^3=25
Please write your answer like
__
THHANK YOU
Answer:
c). 14 < x < 15
d). 7 < x < 8
Step-by-step explanation:
c). (x/3)^3 = 124
Take the cube root of both sides
x/3 = 4.986630952238646
multiply both sides by 3
x = 14.959892856715938
14 < x < 15
-----------------------------
d). (x/2 - 1)^3 = 25
Take the cube root of both sides
x/2 - 1 = 2.924017738212866
Add 1 to both sides
x/2 = 3.924017738212866
multiply both sides by 2
x = 7.848035476425732
7 < x < 8
helppppppppp pleaseeeeeee
Answer:
isn't it 5?
by counting the lines from C to B
from C to B the length is 5 while the length of D to C is 6
A line passes through the points (3,-12) and
(6, K). The slope of the line is -2. Determine
the value of K.
Answer:
k = - 18
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 12) and (x₂, y₂ ) = (6, k)
m = [tex]\frac{k+12}{6-3}[/tex] = [tex]\frac{k+12}{3}[/tex] = - 2 ( multiply both sides by 3 )
k + 12 = - 6 ( subtract 12 from both sides )
k = - 18
What is the minimum value of the function, f(x)=x2+8x+4
Answer:
The minimum value of the function is 12
Any line with no slope is parllel to the
A) X-axis
B) Y-axis
C) Line y=x
Answer:
I think it could be the X-axis
Use
5 ft
10 ft
30 ft
What is the volume of the rectangular prism? Enter the answer in the box.
ft3
Answer:
1500 ft^3
Step-by-step explaxition
To find the volume of rectangular prism the formual is L*W*H. So you do 5 times 10 times 30 to get 1500 ft^3
Which is the graph of x - y = 1?
Answer:
attached
Step-by-step explanation:
attached
Which blood type was donated by the largest percent of people?
Percent of Blood Types Donated
martino
Springfield
A-
9 °
05% 9% 19% 20% 25% 30% 35% 40% 46% 55
List the angles in order from the largest to the smallest.
A. 25 B. 18 C.12
A. ∠C, ∠B, ∠A
B. ∠A, ∠C, ∠B
C. ∠C, ∠A, ∠B
D. ∠A, ∠B, ∠C
Answer:
D is the answer
Step-by-step explanation:
Help me find the answer please I already know how to do it but we usually use the formula for two bases but this is confusing me because of the third number:((((
Answer:
7.5
Step-by-step explanation:
You will use the 2.5 not the 3 as height.
Area of trapezoid=( A+b/2)*h
(2+4/2)*2.5
(6/2)*2.5
3*2.5
7.5
What is the length of MN
Answer:
C. 1
Step-by-step explanation:
angle L and angle N are equal so the length of ML and MN should be equal too (isosceles triangle)
4x = x + 3 subtract x from both sides
3x = 3 divide both sides by 3
x = 1
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
x <3
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Distribute
-10 +8x < 6x-4
Subtract 6x from each side
-10+8x-6x < 6x-6x-4
-10 +2x < -4
Add 10 to each side
-10+2x+10 < -4+10
2x< 6
Divide by 2
2x/2 < 6/2
x <3
25 points!! Question #2 Line I passes through the points (-4.-7) and (23) on the coordinate plane Line m passess through the points (-4,1) and (2,w). For what value of w is line m parallel to line I
11
-3
4
1
Answer:
it will be -3
Step-by-step explanation:
[tex]\green{hello} [/tex]
-3 is the correct option
Hello can someone please tell me what the answer to this is
Please it’s really important I get an answer fast
Answer:
105 miles per hour
Hope this helps! :)
Solve the following equation for x: 2x^2 - 3 = 47
With explanation plz ion wanna go summer school
Answer:
Step-by-step explanation:
2x²-3=47
2x²=47+3
x²=50/2=25
x=±√25=±5
Answer:
x = ±5
Step-by-step explanation:
2x^2 - 3 = 47
Add 3 to each side
2x^2 - 3+3 = 47+3
2x^2 = 50
Divide each side by 2
2x^2 = 50/2
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = ±5
Need a little help. If anyone knows and would like to answer, I would highly appreciate that :)
can someone help me with this?
(b) Evaluate (6.3 x 10^6)+ (9 x 10^2).
0=x^(2)+2x-3 Solve using Quadratic Formula
Answer:
Step-by-step explanation:
x^2 + 2x - 3 =0
x^2 + 3x - x -3 = 0
(x) x (x+3) - (x + 3) = 0
(x+3) x (x-1) = 0
x+3=0
x-1=0
x=-3
x=3
x1 =-3, x2 = 1
Answer:
[tex]x=1,\\x=-3[/tex]
Step-by-step explanation:
The quadratic formula is given by [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where [tex]x[/tex] represents both real and nonreal solutions to a quadratic in standard form [tex]ax^2+bx+c[/tex].
Thus, with the given quadratic [tex]x^2+2x-3[/tex], we can assign values:
[tex]a=1[/tex][tex]b=2[/tex] [tex]c=-3[/tex]Substituting in these values to the quadratic formula, we have:
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(-3)}}{2(1)}, \\\\x=\frac{-2\pm\sqrt{16}}{2},\\\\x=\frac{-2\pm 4}{2},\\\\\begin{cases}x=\frac{-2+4}{2},x=\frac{2}{2}=\boxed{1}\\x=\frac{-2-4}{2},x=\frac{-6}{2}=\boxed{-3}\end{cases}[/tex]
Verify by factoring:
[tex]x^2+2x-3=0,\\(x+3)(x-1)=0,\\\begin{cases}x+3=0,x=\boxed{-3}\:\checkmark\\x-1=0,x=\boxed{1}\:\checkmark\end{cases}[/tex]
5. What is the value of x?
A. 36
B. 12
C. 32
D. 28
Answer:
the value of X is 12 .........
PLS HELPPPPP<3tyyyyyy this is due today! so please helppp tysmmm and have a great night or morning! :) (spam)
Answer:
3. 4 meters
6. wrong, it should be 7000 meters
7. 2 dm > 10 cm
8. 30 cm = 3 dm
9. 6 km > 5000 m
10. 8 m < 90 dm
Step-by-step explanation:
__________
Answer:
3)40 decimeter = 4 meters
6)Jacob is incorrect because 7 kilometer does not equal 700 meters. The right answer would have been 7000 meters.
7)2 decimeters > 10 centimeters
8) 30 centimeters = 3 decimeters
9) 6 kilometers > 5,000 meters
10)8 meters < 90 decimeters
Hope this helped :)
2x = 4y + 8, x - 2y = 4
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
find 4/5% of $60,000
Answer:
I think the answer is $480
Step-by-step explanation:
(4/5)/100 *$60000
=$480
Find the coordinates of the intersection of the diagonals of DEFG with the vertices D(-2, -3), E(0, 4), F(-4, 3), and G(-6, -4)
Answer:
(-3,0)
Step-by-step explanation:
midpoint DF = (-6/2,0) or (-3,0)
midpoint EG = (-6/2,0) or (-3,0)
PLLEASEEE HELPPP!!! ILL BRAINLIST.
2) Using Pythagoras’ Theorem, which is the correct statement (A, B or C)
that describes the relationship between the three side lengths in this
triangle? Explain your choice.
A 262 = x2 + 242 B 242 = x2 + 262 C x2 = 242 + 262
Answer:
The answer is most likely C.
Step-by-step explanation:
Using the Pythagoras' Theorem, c^2 = a^2 + b^2
I'm not sure if 242 and 262 were 24^2 and 26^2 respectively but I'm using 24^2 and 26^2 for this answer.
The c^2 is in fact x^2 where x is the hypotenuse.
However, the answer could be A if x has to be whole number. In this case, x^2 + 24^2 = 26^2
x^2 = 26^2 - 24^2 = 100
x = sqrt (100) = 10
Nick's rectangular bedroom has a length of (2x−5) and a width of (x+1). Which equation describes the area, A, of Nick's bedroom in terms of x?
Answer:
A = 2x²-3x-5
Step-by-step explanation:
Given that,
The length of the bedroom, l = (2x-5)
Width of the bedroom, b = (x+1)
We need to find an equation for the area of the bedroom. We know that,
Area of a rectangle = lb
Put all the values,
A = (2x-5)(x+1)
= 2x²+2x-5x-5
= 2x²-3x-5
Hence, the area of the bedroom is equal to 2x²-3x-5.
Can someone help me with this algebra question
Answer:
Step-by-step explanation:
4x^2+120x
4x^2+120x=0
4x^2=-120x
4x^2/x=-120
4x=-120
x=-120/4
x=-30
Express sin Q as a fraction in simplest terms.
Answer:
Solution given
Sin Q=opposite/hypotenuse=28/29
28/29 is. a required answer.
