Step-by-step explanation:
the radius (r) is 36 inches, the circumference of the circle is C = 2pi r,
or C = 2pi(36 inches) = 72pi inches.
A cube has an edge length of 3 inches.
a) Find the surface area and volume of the cube.
b) The cube is dilated by a scale factor of 0.5.
Find the surface area and volume of the image.
PLEASE HELP THIS IS DUE TOMORROW!!!
Answer:
Question (a)
Surface area of a cube = [tex]6x^2[/tex] (where [tex]x[/tex] is an edge length)
⇒ surface area = 6 × 3²
= 6 × 3 × 3
= 6 × 9
= 54 in²
Volume of a cube = [tex]x^3[/tex] (where [tex]x[/tex] is an edge length)
⇒ volume = 3³
= 3 × 3 × 3
= 27 in³
Question (b)
To find the area of a dilated figure, simply multiply the original area by the scale factor squared:
Surface area = [tex]6x^2[/tex] × sf²
= 54 × 0.5²
= 13.5 in²
To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:
Surface area = [tex]x^3[/tex] × sf³
= 27 × 0.5³
= 3.375 in³
I need to do this it due tommorow
Answer:
14
Step-by-step explanation:
when you add all the numbers together you get 14, also where you put the line you can see that the line is a 3 and 5 minus 2 is 3. The next corner next to the 3 is 1 cm because if you look at the horizontal 2 it matches up with the horizontal 1 and 2 minus 1 is 1.
HELPPPPP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER (see attachment)
Step-by-step explanation:
(b) since a negative number added to a positive one it will be positive
Answer:
2x² + 5x - 12
steps:
→ (x+4)(2x-3)
By distributive method:
→ (x)(2x) +4(2x) +x(-3) +4(-3)
simplifying:
→ 2x² + 8x - 3x - 12
final answer:
→ 2x² + 5x - 12
How do i solve this.
Let us set up some variables:
L: LengthW: WidthNow let us set up some equations based on the facts:
length of rectangle is 4 times its width --> L = 4Wperimeter of rectangle is 80 --> 2L + 2W = 80Equations:
L = 4W -- equation 1
2L + 2W = 80 -- equation 2
Plug the value of L from equation 1 into equation 2
2(4W) + 2W = 80
8W + 2W = 80
10W = 80
W = 8 -- equation 3
Plug the value of W from equation 3 into equation 1:
L = 4W = 4 * 8 = 32
Therefore the length is 32 and the width is 8.
Hope that helps!
Bella and Justin went to the bank to open new checking accounts. The equation C=0.1n+1.50 represents the monthly cost, C, in dollars, where n is the number of checks written by Bella. In Justin’s account, the monthly cost is proportional to the number of checks written. The monthly cost for Justin’s account is $1.20 for writing 3 checks. How many checks must Bella and Justin write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?
If Bella and Justin write
checks, it will cost them both $
for one month.
The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation for Bella:
c = 0.1n + 150
Where C is the monthly cost for n checks.
For Justin:
1.2 = 3k
k = 0.4
C = 0.4n
To have the same cost:
0.1n + 150 = 0.4n
n = 500
c = 0.4(500) = 200
The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.
Find out more on equation at: https://brainly.com/question/2972832
please help with this question find the outlier!!
Answer:
the outlier would be 36 oz
Step-by-step explanation:
the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)
hope this helps :)
Solve for x to the nearest tenth.
Answer: the answer to your question is 8.0
Step-by-step explanation:
Sin theta = opposite /hypotenuse sin 53 = x/10
Multiply each side by 10
10 sin 53 = x
7.9863551
To the nearest tenth
x = 8.0
Subtract: (4x5 + 8x5 + 3x) from (3x2 + 6x2 + 9x)
Answer:
[tex]12x^5-9x^2-6x[/tex]
Step-by-step explanation:
[tex]\left(4x^5+8x^5+3x\right)-\left(3x^2+6x^2+9x\right)[/tex]
[tex]4x^5+8x^5+3x-\left(3x^2+6x^2+9x\right)[/tex]
[tex](4x^5+8x^5):12x^5[/tex] ( Combine like terms)
[tex]12x^5+3x-\left(3x^2+6x^2+9x\right)[/tex] (Apply the distributive law)
[tex]12x^5+3x-9x^2-9x[/tex]
[tex](3x-9x):-6x[/tex] ( Combine like terms)
[tex]12x^5-9x^2-6x[/tex]
~
Answer:
[tex]\sf 9x^2 - 12x^5 +6x[/tex]
solving steps:
[tex]\hookrightarrow \sf (3x^2 + 6x^2 + 9x )- (4x^5 + 8x^5 + 3x)[/tex]
remove parenthesis
[tex]\hookrightarrow \sf 3x^2 + 6x^2 + 9x - 4x^5 - 8x^5 - 3x[/tex]
group variables
[tex]\hookrightarrow \sf 3x^2 + 6x^2 - 4x^5 - 8x^5 - 3x+ 9x[/tex]
simplify
[tex]\hookrightarrow \sf 9x^2 - 12x^5 +6x[/tex]
how many diagonals does an 80-gon have?
Answer:
Step-by-step explanation:
35
Answer:
3080
Step-by-step explanation:
expand and simplify x(x-4)(x-1)
Answer:
Step-by-step explanation:
x(x-4)= x^2-4x
x^2-4x(x-1)
x^3-5x^2+4x
Which shapes have 4 sides and 4 vertices?
Answer:
A quadrilateral has 4 sides, 4 angles and 4 vertices.
What is the circumference of 7 in?
Answer:
If Its 7 in diameter than the answer is 21.98 if it is radius than it is 153.86
Step-by-step explanation:
Answer:
Solution:
Radius of a circle = 7 in
We know that
Circumference of a circle = 2πrSubstituting the values
= 2 × π × 7
= 14π
= 43.9823 ≈ 43.98 in
Therefore, the circumference of a circle is 43.98 in.
HELP PLEASE HELP HELP
f(x) = 1 / x + 2 - 4
(-1.5 , ___)
(-1 , ___)
0, ___)
(-3, ___)
(-2.5, ___)
(-4 , ___)
Which type of local wind is shown below and what causes this type of wind?
Question 23 options:
At night, cooler air over land replaces rising warmer air over water causing a land breeze.
At night cooler air over water replaces rising warmer air over land causing a land breeze.
During the day, cooler air over land forces warmer air over water to rise causing a sea breeze.
Answer:
A
Step-by-step explanation:
because me smart
SOMEONE PLSS HELP WITH MY ZEARN ITS 5TH GRADE MATH BTW! can be decimal or mixed number!!
Answer:
[tex]64 \frac{1 3}{21} ft {}^{2} [/tex]
Step-by-step explanation:
Area of the garden:
[tex](8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)[/tex]
Kristen is paid $8.25 per hour. how much would her paycheck be for 39 hours? show your work.
Answer:
$321.71
Step-by-step explanation:
To do this problem, we have to multiply 8.25 by 39 because Kristen gets paid $8.25 per hour, and she worked for 39 hours. Here is my work below:
[tex]8.25 X 39=321.71[/tex]
So, Kristen gets paid $321.71 for working 39 hours.
Hope this helps! :)
Have a blessed day! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
eric sells donuts for $7 per dozen. which equation can be used to determine the total cost, t, for x dozen of donuts?
Answer:
7 times x = t
Step-by-step explanation:
if your buying 3 dozen of donuts, the total cost would be by doing 7x3
Solution:
It should be noted:
Given sentence: Eric sells donuts for $7 per dozen.Let's reread the sentence carefully.
Eric sells donuts for $7 per dozen.
↥ ↥
$7 1 dozen
The equation created: $7 = 1 dozen
If x dozen doughnuts were sold, equation: $7x = t = x dozen
Thus, the equation that can determine the total cost, t, for x dozen of donuts is $7x = t.
is y=10x^2 a linear equation
Which line is a line of symmetry for the figure below?
A.
Line A
B.
Line C
C.
Line B
D.
Line D
Answer:A
Step-by-step explanation:
Because as you look around we notice line A. We can see that when we look at it there is symmetric. The line divide both of the parts equal
One week, Daniel earned $554. 30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939. 90?
Answer:39 hours
Step-by-step explanation:First, let's find the rate of money per hour:$554.30 / 23 hour= $24.1 / 1 hourDaniel earns $24.10 every hour he works.To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:$939.90 / 24.10= 39Now, we can check:$24.10 * 39= $939.90
Sketch the graph:
just tell me the vertex and the points I should plot on
Answer:
SO this equation is y={4-3x}
This is an absolute value so the domain is all real numbers
For this equation, we are shifting left 3 and up 4
The vertex is (1,1) Turning point
Points:
(-1,7)
(0,4)
(1,1)
(2,2)
(3,5)
(4,8)
It will make a v shape
(if u were too do this on the ti-84, hit y=, then hit 2nd catalog and hit abs, plug in the equation; then hit 2nd graph to get the table. You will need to find the vertex by finding the number at which they are not the same)
I hope this helps!
Step-by-step explanation:
In a class of c children,1/4 are boys. What fraction are girls?
Answer:
3/4
Step-by-step explanation:
Given:
⇒ 1/4 are boys
To Solve/Find:
⇒ What fraction are girls
Solve:
well, We know that 4/4 = 1 Whole
Thus, We have to Subtract to find what fraction are girls
→ 4/4 - 1/4 = 3/4
Hence, We can conclude that 3/4 are girls
~Learn with Lenvy~
Daina gives 2/3 of his money to Carol. Carol gives 6/7 of this money to Zak.
What fraction of Daina's money does Zak get?
Answer: I think he gets 1/2 of something
Step-by-step explanation:
Which expression is equivalent to 5/6−1/4+(−2/3)
Answer:
the last one
Step-by-step explanation:
.48 divided 9.28 round to the nearest tenth
Which of the following are among the basic postulates of Euclidean Geometry?
A) Any straight line segment can be extended indefinitely.
B) All right triangles are equal.
C) A straight line segment can be drawn between any two points.
D) All right angles are equal.
Any straight line segment can be extended indefinitely and straight line segment can be drawn between any two points can apply. Therefore, options A and D are the correct answers.
What is Euclidean geometry?"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"
As per the five basic postulates of Euclidean geometry
A straight line can be drawn from any point to another point.
A terminated line can be further produced indefinitely.
A circle can be drawn with any Centre and any radius.
All right angles are equal to one another.
If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.
Therefore, options A and D are the correct answers.
To learn more about Euclidean Geometry here:
brainly.com/question/7954280
#SPJ7
Analyze: What is the the number of periods of the following atoms
Answer:
2; 3; 4.
Step-by-step explanation:
Li - 2 (two circles); Na - 3 (three circles); K - 4 (four circles).
The height of a rocket t seconds after launch is modeled by the function: f(t)=-16t^2+72t.
What is the maximum height of the rocket in feet?
Step-by-step explanation:
the extreme values of a function happen at the zeros of the first derivation of that function.
f(t) = -16t² + 72t
f'(t) = -2×16t + 72 = -32t + 72
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
f(2.25) = -16(2.25)² + 72×2.25 = -16×5.0625 + 72×2.25 =
= -81 + 162 = 81 ft
so, the rocket reaches its maximum height of 81 ft after 2.25 seconds of flight.
what is the expanded form of 648.297?
Answer:
600 + 40 + 8 + .2 + .09 + .007 = 648.297
Select the correct solutions for the system of equations:
10x + y = -20
y = 2x^2 - 4x - 1
[] (-2, 0)
[] (-1, 0)
[] (0, -2)
[] (0, -1)
[] (-2, 10)
[] (-1, -10)
[] (10, -1)
[] (10, -2)
Answer:
The answer are
(-2,0)
(-1,-10)
(0,-1)
Step-by-step explanation:
I believe these are all the right answers
Hope this helps and mark brainliest please :)