Each CD is approximately 4.72 inches in circumference and 0.05 inches in depth. There are 15 CDs in the stack. Use the Cavalieri's Principle to find the surface area of the stack of CDs
Answer:
SA = 7.08 in²
Step-by-step explanation:
We can use the following method to solve the given problem
SA = 2B + LA
Where LA
LA = 4.72* 0.05* 15= 3.54
And
C = 2πr
Where
C = 4.72in
π = 3.14
Substituting, we have
4.72 = 2*3.14*r
Making r the subject of formula
r = 0.75in
Solve for the area of CD
A = πr²
Substituting the values we have
A = 3.14 *(0.75)²
A= 1.77 in²
Solving for surface area of the stack
SA = 2(1.77) + 3.54
SA = 7.08 in²
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
What's 7 times 11 in joke
Answer:
77
Step-by-step explanation:
Doblando un alambre de 40 cm formamos un rectángulo. Hallar la expresión algebraica que define el área del rectángulo y calcula su valor para x=4.
Answer:
[tex]A = 128\,cm^{2}[/tex]
Step-by-step explanation:
El área del rectángulo se halla a través de la siguiente fórmula: (The area of the rectangle is obtained by the following formula:)
[tex]A = (40\,cm - 2\cdot x)\cdot x[/tex]
Donde el área y [tex]x[/tex] se miden en centímetros cuadrados y centímetros, respectivamente. (Where area and [tex]x[/tex] are measured in square centimeters and centimeters, respectively)
Ahora, [tex]x[/tex] se reemplaza y se encuentra el valor numérico del área: (Now, [tex]x[/tex] is substituted and numerical value of area is finally determined:)
[tex]A = [40\,cm - 2\cdot (4\,cm)]\cdot (4\,cm)[/tex]
[tex]A = 128\,cm^{2}[/tex]
The length of a poster is 15 feet how long is the poster in inches
Answer:
180 in.
Step-by-step explanation:
12 in = 1 ft
15 × 12 = 180
Please help me thank you
Factor completely.
4 - 12x + 9x^2
[tex]4-12x+9x^{2} \\4-6x-6x+9x^{2} \\2(2-3x)-3x(2-3x)\\(2-3x)(2-3x)\\(2-3x)^2[/tex]
Which steps would be used to solve this equation?
StartFraction t Over 3 EndFraction = 2.78
Check all that apply.
Multiply by 3 on both sides of the equation.
Divide by 3 on both sides of the equation.
2.78 ÷ 3 = 0.93, so t = 0.93.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Substitute 0.93 for t to check the solution.
Answer:
Multiply by 3 on both sides of the equation.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Step-by-step explanation:
To solve the equation [tex]\frac{t}{3}[/tex]= 2.78
we will use the steps below to solve this equation;
First, multiply by 3 on both-side of the equation. That is;
[tex]\frac{t}{3}[/tex] × 3= 2.78 × 3
On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34
t = 8.34
we can further substitute 8.34 for t to check the correctness of the solution
that is;
[tex]\frac{8.34}{3}[/tex] = 2.78
Answer:
1,4,5
is the answer your welcomeA cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for the volume of the cube in terms of a.
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3
A researcher works on a study that has a population standard deviation of 0.73a sample mean of 84.5 and a sample size of 60 .What is the margin of error with a confidence level of 95%
Answer:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] \sigma = 0.73[/tex] represent the population deviation
[tex] \bar X = 84.5[/tex] represent the sample mean
[tex] n =60[/tex] represent the sample size
And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
Esme plans to flip a fair coin 3 times and record the results of each flip.
What is the probability that the coin lands with the heads side up on all 3 flips?
Enter your answer as a reduced fraction, using the / symbol, like this: 42/53
Answer:
ttt
htt
tht
tth
hht
thh
hth
hhh
these are the possible outcomes of the three outcomes
so probability of hhh = 1/8
The probability that the coin lands with the heads side up on all 3 flips will be 1/8.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:
P = (1/2) x (1/2) x (1/2)
P = 1/8
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
What is t in degrees?
Answer:
100
Step-by-step explanation:
Because the 40 degree angle is an inscribed angle opposite of arc u, arc u's angle measure must be 40*2=80 degrees. Since t+u=180 degrees, t must be 100 degrees. Hope this helps!
Find the next two terms of the geometric sequence 567, 189, 63 … .
Answer:
As we can observe,
F(1) = 567
F(2) = 189 = 567/3 = F(1)/3
F(3) = 63 = 189/3 = F(2)/3
=> F(4) = F(3)/3 = 63/3 = 21
Hope this helps!
:)
Answer:
21 then 7
Step-by-step explanation:
Help (＞﹏＜)
A refrigerator has a volume given by the trinomial y^3 - 2y^2 – 35y. What are the possible dimensions of the freezer? Use factoring. Recall that the formula for the volume of a rectangular solid is V= Iwh where V= volume, I= lenght, w= width, and h= height.
A. y, y + 5, and y - 7
B. y, y - 5, and y - 7
C. y, y + 5, and y + 7
D. y, y - 5, and y + 7
3. A regular hexagon has six equilateral triangles with a common
endpoint. If the height of one of those triangles is 8 inches explain
why the perimeter of the hexagon is 55.43 inches.
Answer:
if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in
Step-by-step explanation:
As the hexagon is regular, each of those triangles will also be regular.
So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:
height = side * sqrt(3)/2
8 = side * 0.866
side = 8/0.866 = 9.2379
The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:
P = 6 * 9.2379 = 55.43 inches
Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%
Answer: B
Step-by-step explanation:
Compare the ordered pairs of the pre-image to the
image to answer these questions.
Is the dilation an enlargement or reduction?
The point of dilation is about what coordinate?
What is the scale factor?
Pre-image
Answer: Reduction
(0,0)
1/3
Step-by-step explanation:
Answer:
1-reduction
2-(0,0)
3-1/3
Step-by-step explanation:
someone please answer this for me! it’s timed
Answer:
151 degrees
Step-by-step explanation:180 - 29=151
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
What is the length of the arc?
Answer:
length of the arc = 6.28 ft
Step-by-step explanation:
[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]
how do you do pythagorean
Answer:
a²+b²=c²
Step-by-step explanation:
a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
$5,490
Step-by-step explanation:
i = prt
i = ($61,000)(.03)(3)
5,490
Answer:
$5490
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 3/100 × 3
I = $5490
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is NOT prime
Answer:
Step-by-step explanation:
7/12
no. of not prime number/ total no. of number
A can of soup has a radius of 6 inches and a height of 10 inches. How much soup can fill the can if it is filled to the top? Place your answer in terms of pi.
A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.
Formula for the volume of a cylinder: V = pi x r^2 x h
V = pi x 6^2 x 10
V = pi x 36 x 10
V = 360pi inches^3
Hope this helps! :)
Hi can you please help me
These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry. While there are many ways to combine algebra and geometry, this way is awful.
Triangle angles add to 180 degrees. Geometry done.
Equation that models ...:
2x + 5 + 3x + 7 + 2x = 180
Solving,
7x + 12 = 180
7x = 168
x = 168/7 = 24
Answer: x=24
A=2x+5=2(24)+5= 53°
B = 3x+7 = 3(24) + 7 = 79°
C = 2x = 48°
Answer: A=53°, B=79°, C=48°
A restaurant sells a refillable coffee mug for $7.75. Each refill costs $3.25. Last month Keith spent $82.75 on a mug and refills. Enter an equation you can use to find the number of refills that Keith bought. Let r represent the number of refills.
Answer:
82.75 = 3.25r + 7.75
Step-by-step explanation:
$82.75 is the total money spent last month
$7.75 is the cost of a refillable mug
$3.25 is the cost for every refill
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.
Answer Choices:
A) an = 9 • 4n
B) an = 9 • (-4)n + 1
C) an = 9 • 4n - 1
D) an = 9 • (-4)n - 1
If Quadrilateral JKLM is a square, where points J(-6, 0), K(?, ?), L(9, -1) and M(2, 7) are known. Find the coordinates of point K.
Group of answer choices
(-1, -8)
(5, -15)
(1,8)
(1, -8)
Answer:
-1 -8
Step-by-step explanation:
Answer:
(1,8)
Step-by-step explanation:
only point that doesn't go through other lines
What is the perimiter of the rectangle? Write your answer in scientific notation.
6.2 x 10^6cm (perimiter)
Answer:
68cm
Step-by-step explanation: this is the right answer :)
PLEASE PLEASE HELP ME ! 12 DAYS OF SCHOOL LIKE AND IM BEHINDDDDD
Answer:
The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.
Step-by-step explanation:
5/16 = 20/x
5x = 320
x = 64
30/80 = 3/8
10/80 = 1/8
25/80 = 5/16
15/80 = 3/16
3/8*2000 = 750
1/8*2000 = 250
5/16*2000 = 625
3/16*2000 = 325
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
