Answers
The surface area of circle of radius 3 cm and cube of edge length x cm being equal implies [tex]x = \sqrt{k\pi}[/tex] integer (k = 6).
How to find the surface area of a sphere?Suppose that radius of the considered sphere is of 'r' units.
Then, its surface area S would be:
[tex]S = 4\pi r^2 \: \rm unit^2[/tex]
Given that:
Side length of considered cube = x cmRadius of considered sphere = 3 cmSurface area of the considered cube = surface area of the considered sphere.Finding the surface area of the considered cube and sphere:
Surface area of cube with x cm edge length = [tex]\rm 6 \times side^2 = 6(x)^2 \: \rm cm^2[/tex]Surface area of sphere with radius r = k cm is [tex]4 \pi r^2 = 4\pi (3)^2 = 36\pi \: \rm cm^2[/tex]Thus, we get:
[tex]6x^2 = 36\pi\\\\\text{Dividing both the sides by 6}\\\\x^2 = 6\pi\\\\\text{Taking root of both the sides}\\\\x = \sqrt{6\pi} \: \rm cm[/tex]
(took positive value out of the root since x cannot be negative as it represents length of the edge of a cube which cannot be a negative quantity).
Thus, the surface area of circle of radius 3 cm and cube of edge length x cm being equal implies [tex]x = \sqrt{k\pi}[/tex] integer (k = 6).
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Related Questions
I need to know how to solve this
Answers
Answer:
it would be 3(16-8x) also know as A
Step-by-step explanation:
Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units, and a height of 4 units. Matt used cubes that are 1 cm on each side. Mindy used cubes that are 1 in. on each side. What is the volume of each prism?
Answers
Answer:Matt’s is 40cm^3 and Mindy’s is 40in^3
Step-by-step explanation:5x2x4=40units^3
Answer:volume of rectangular prism is = whl= 2*4*5=40 unit³
the prism of the matt built will have the volume of 40cm³
where as Mindy will have 40in³
therefore,
1in=2.54cm
Mindy built volume= 40*2.54cm³= 101.6cm³
Which kind of triangle must triangle XYZ be?
Answers
The type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.
What is the theorem of two tangents from external point?When the two tangent are drawn to a circle from an exterior point then according to this theorem-
The length of these two tangents is equal.Both the tangents subtend equal angle at the center of the circle.The angle between the two tangent is bisect by the line joining to the exterior point and the center.The figure of the circle O is attached below. Here, line segments XY and ZY are tangent to the circle.
As both the tangents are drawn from the same point, thus the length of XY and ZY is equal.
[tex]XY=YZ[/tex]
When the two sides of a triangle is equal, then it is known as the isosceles triangle.
Thus, the type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.
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519.6 x 10.86
by process.
Answers
Answer:
5642.856
Step-by-step explanation:
Multiply 5196 x 1086 without the decimal points
Then you will get the ans 5642856 then count how many decimal points are there altogether which is three points.
So go behind three numbers and put the point.
Final Answer - 5642.856
Write (5 – 8i)2 in simplest a + bi form.
Answers
Answer:
10-16i
Step-by-step explanation:
use distrubutive property and treat i like a variable
Let Vector a = LeftAngleBracket 3, 11, negative 8 RightAngleBracket. and Vector b = LeftAngleBracket 2, negative 3, c RightAngleBracket. . If Vector a minus vector b = LeftAngleBracket 1, 14, negative 3 RightAngleBracket., what is the value of c?
–11
–5
5
11
Answers
Answer:
c.5
Step-by-step explanation:
What is the measure of angle ACB? (geometry)
Answers
Answer:
30°Step-by-step explanation:
The angle between two secants is half the difference of intercepted arcs.
m∠ACB = 1/2(mAB - mDE)Substitute the arc values and calculate
m∠ACB =1/2(80° - 20°) = 1/2(60°) = 30°Answer:
∠ACB = 30°
Step-by-step explanation:
Finding ∠ACB :
∠ACB = 1/2 x (∡AB - ∡DE)∠ACB = 1/2 x (80° - 20°)∠ACB = 1/2 x 60°∠ACB = 30°Need help on one question
Answers
Answer:
write it so that we can know
now I can't see
What is the value of n?
Answers
8n + 64 = 16n + 32
8n = 32
N = 4
I think that’s right.
please help be answer this
Answers
Answer:
D
Step-by-step explanation:
[tex](2x +12)(2x + 8)[/tex]
[tex]4 {x}^{2} + 16x + 24x + 96[/tex]
[tex]4 {x}^{2} + 40x + 96[/tex]
Solve the following problems.
Given: IL Perpendicular EJ at M
Prove: mEL + mll = 180°
Just need the proof!
Answers
What is the slope and y-intercept of this line?
y=−12x+7
slope: 12, y-intercept: −7
slope: −7, y-intercept: −12
slope: −12, y-intercept: 7
slope: 7, y-intercept: −12
Answers
Answer:
(c) slope: -12, y-intercept: 7
Step-by-step explanation:
The given equation is in the slope-intercept form:
y = mx +b
In this form, m is the slope, and b is the y-intercept.
__
Comparing the given equation to the form, we see ...
y = mx +b
y = -12x +7 ⇒ m = -12, b = 7
The slope is -12; the y-intercept is 7.
Dad is getting food ready for my birthday party! Including
me, there will be 18 people at the party. Dad is baking
cookies for us! He can bake 24 cookies per batch.
How many batches should I tell Dad to make so we can each
have 4 cookies?
Answers
Answer: Dad is getting food ready for my birthday party! Including
me, there will be 18 people at the party. Dad is baking
cookies for us! He can bake 24 cookies per batch.
How many batches should I tell Dad to make so we can each
have 4 cookies?
Step-by-step explanation:
Answer:
3 batches and a half = 84 cookies
Step-by-step explanation:
24 x 3= 84
84 divided by 19= 4.4
HGD
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
Answer:
(3, 2)
Explanation:
y = −2x + 8 ....equation 1y = x − 1 ....equation 2======================
substitute equation 2 into 1
x − 1 = −2x + 8x + 2x = 8 + 13x = 9x = 3find y
y = x − 1y = 3 − 1y = 2solution
(x, y) ⇒ (3, 2)Answer:
(3, 2)
Step-by-step explanation:
Given
Equation 1: y = -2x + 8
Equation 2: y = x - 1
Solving by Substitution
Substitute Equation 2 into Equation 1 and solve for x:
⇒ x - 1 = -2x + 8
Add 2x to both sides:
⇒ 3x - 1 = 8
Add 1 to both sides:
⇒ 3x = 9
Divide both sides by 3:
⇒ x = 3
Now substitute the found value of x into Equation 2 and solve for y:
⇒ y = 3 - 1
⇒ y = 2
Therefore, the solution is (3, 2)
Carter deposited $146.00 into a new savings account that earns 13% interest compounded
quarterly. How long will it take for the balance to grow to $239.00?
Round your answer to the nearest month.
___ years and ___ months
Answers
Answer:
it should be around 4 months I believe
Step-by-step explanation:
146.00(1+0.13/4)^(4×4)
Find the following given f(x) = - 9x - 2.
a. f(4)
b. f( - 3)
c. f(0)
D. F(1/7)
Answers
Answer:
the answer for {a} is -38
Step-by-step explanation:
fill in the number for x then simplify
f(x)=-9x - 2
f(4) = -9 (4) - 2
= -36 - 2 = -38
Use the same process for the other questions.
Look at the following ratio:
3:8
Write an equivalent ratio if it was three times greater:
Answers
multiple both sides by 3 to make it 3 times greater
the answer would be 9:24
hope this helps!!
Pls help i need an A my mom is going to get mad at me pls help i will give 62 points
Answers
Answer:
orange one
Step-by-step explanation:
just the orange one since its 5 divided by 1 is 5
10 divided by 2 is 5
20 divided by 4 is 5
They answers are both correct
First you will look at the first pair of numbers then do some multiples of the numbers
Then compare them to the other points given and determine if you have a line from there
NO LINKS!! Please help
Answers
Answer:
FJ = 32
IJ = 24
FG = 48
Step-by-step explanation:
Getting Started with FG
[tex]\frac{IH}{AB} =\frac{FG}{ED}[/tex]
[tex]\frac{72}{36} =\frac{FG}{24}[/tex]
[tex]\frac{FG}{24} =2[/tex]
[tex]FG=24(2)=48[/tex]
The proportion between polygons is 2:1
[tex]IJ=2CB[/tex]
[tex]IJ=2(12)=24[/tex]
[tex]FJ=2BC=2(16)=32[/tex]
Hope this helps
Answer:
FJ = 32
IJ = 24
FG = 48
Step-by-step explanation:
Given: HGFJI ~ AEDCB
From inspection of the diagram, the corresponding sides are:
HG~AE
FG~DE
FJ~DC
IJ~CB
IH~BA
The only pair of sides that both have side lengths are IH and BA. Therefore, we can use these to figure out the scale factor of dilation.
IH = 72 and BA = 36
⇒ IH/BA= 72/36 = 2
Therefore, HGFJI is an enlargement of AEDCB by a scale factor of 2
If HG = 56
⇒ AE = 56 ÷ 2 = 28
If DE = 24
⇒ FG = 24 × 2 = 48
If DC = 16
⇒ FJ = 16 × 2 = 32
If CB = 12
⇒ IJ = 12 × 2 = 24
Calculate the percent
Answers
in the table below x represents miles traveled and y represents the cost to travel by train what is the y intercept of this function?
Answers
Answer:
im pretty sure its 2.25...
Step-by-step explanation:
hope this helps:)
Find the value of p if the mean of the following distribution is 20.
X:- 15 17 19 20+p 23
F:- 2 3 4 5p 6
Answers
Answer:
X:-15 17 19 20+p 23 there is a difference of 2 between each number so p=1 .
F:-2 3 4 5p 6 there is a difference of one so p needs to be 1 .
What is 1/2 of 0.45x-1/4?
Answers
Answer:
0.45x−0.125
Step-by-step explanation:
0.45x-1/4
0.45x - 0.25 ÷ 2
0.45x−0.125
9. An airplane is 325 miles from the airport. To get to the present positionthe plane flew 205 miles due south from the airport and then flew due westTo the nearest mile, how far west didi the plane fly?
Answers
*explanation* : 325 x 205=
1. Based on the current market rates for bonds of Frenza, Nelo, and Lika, which of the following bonds do lenders believe has the highest risk level? 2. If Frenza decided to issue new bonds with a contract rate of 11%, would these new bonds be sold at a discount or premium based on the current market rate for Frenza bonds? 3. Frenza is planning an $160,000 expansion to launch a new product line. Frenza currently earns $100,000 in net income, and the new product line will yield $50,000 in additional income before any interest expense. Frenza has three options: (1) do not expand, (2) expand and issue $160,000 in debt that requires payments of 8% annual interest, or (3) expand and raise $160,000 from equity financing. For each option 1, 2, and 3, compute (a) net income and (b) return on equity (Net income ÷ Equity). Ignore any income tax effects.
Answers
The net income and return on equity for the first part for Frenzo will be $100000 and 25%.
How to calculate the net income?The net income and return on equity for the first part will be:
Net income = $100000 - 0 = $100000.
Return on equity = (100000/400000) × 100 = 25%
The net income and return on equity for the second part will be:
Net income = $150000 - $12800 = $137200
Return on equity will be:
= (137200/400000) × 100
= 34.3%
The net income and return on equity for the third part will be:
Net income = ($150000 - 0) = $150000
Return on equity will be:
= (150000/560000) × 100
= 26.8%
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(3+2a)² alguien sabe la respuesta?
Answers
Answer:
3(3+2a)+2a(3+2a)
9+6a+6a+4a^2
9+12a+4a^2
ANS 4a^2+12a+9
Need help with math please
Answers
BG must equal AG = 9, because DG bisects AB at the midpoint of D.
AD must equal DB = 6, because DG bisects AB at the midpoint of D.
So, AB =6+6 =12
BG=9
AB=12
How many kilograms are in 242,000 milligrams? The solution is
Answers
Answer:
i am from afghanistan and you
Answer:
.242 Kilograms
Step-by-step explanation:
To convert milligrams to kilograms multiply the value by .000001 or move the decimal mark 6 places to the left.
what is 36x - 28 equal
Answers
Answer:
[tex]36x-28[/tex]
Rewrite 36 as 4*9 & Rewrite 28 as 4*7
[tex]4\cdot \:9x-4\cdot \:7[/tex]
Now, u can factor out the common term 4
[tex]4\left(9x-7\right)[/tex]
Use the picture attached.
How many lines of symmetry does the picture have?
A.
1
B.
3
C.
2
D.
0
Answers
Answer: look honestly I am not sure but Probably it is choice c which is 2 lines of symmetry .
Step-by-step explanation: 2 lines of symmetry because one line is horizontal and the other is vertical . One line will be in the middle of the flower which is vertical and the other line is horizontal as they will make equivalent sides . HOPE IT HELPS BUDDY .