Answers
Check the picture below.
[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2) ~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=10.5\\ r=7 \end{cases}\implies \begin{array}{llll} A=\pi (10.5^2 - 7^2)\implies A=61.25\pi \\\\\\ A\approx 192.42~m^2 \end{array}[/tex]
Related Questions
A rectangle has a perimeter of 60m. Find the
length of the rectangle if its breadth is
12m
Answers
Find the surface area of the triangular prism shown below.
Answers
Tops corporation is organized into two divisions, manufacturing and marketing. both divisions are considered to be profit centers and the two division managers are evaluated in large part on divisional income. the company makes a single product. it is fabricated in manufacturing and then packaged and sold in marketing. there is no intermediate market for the product.
the monthly income statements, in thousands of dollars, for the two divisions follow. production and sales amounted to 10,000 units.
manufacturing marketing
revenues $ 3,000 $ 5,000
variable costs 2,400 3,700
contribution margin $ 600 $ 1,300
fixed costs 500 800
divisional profit $ 100 $ 500
Answers
Top company would accept the order as it increases the total profit of the corporation by $90000
How to illustrate the information?As a company as a whole, Tops corporation will accept orders if the contribution margin increases by accepting orders.
a. The contribution margin will be:
= sales price - variable cost of manufacturing department - variable cost of marketing department
= $400 - [$2400*1000/10000units] - $70
= $400 - $240 - $70
= $90
Therefore, the increase in profit will be:
= $90 × 1000
= $90000
Top company would accept the order.
b. The marketing department will accept the order as it increases its profit by $400000-$370000 = 30000.
c. The manufacturing division manager would accept the order as it increases its profit by $60000. This was gotten as:
= (300 × 1000) - (240 × 1000)
= 300000 - 240000
= 60000
The other parts of the question include:
The company has just received an offer to buy 1,000 units of the product this month at a price of $400 per unit. The Marketing Division manager suggests that for the special order only, the transfer price be set at 50 percent of the sales price, or $200 per unit. Instead, assume the transfer price is unchanged from the current transfer price.
Required:
a. Does Tops Corporation want to accept this order?
b. Will the Marketing Division manager be willing to accept this order?
c. Will the Manufacturing Division manager be willing to accept this order?
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Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?
Answers
Answer:
13x+50=641.50, where x is the about of hours Luke worked. (x=45,5[h])
GUYS PLEASE HELP LIKE ASAP
What is the mean, median, mode, and range of the
following data set? Be sure to label which
measurement you are referring to.
7,9,6,9, 7, 4,7
Answers
Answer:
if im not wrong all answers are 7
Step-by-step explanation:
if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:1,024
Step-by-step explanation:
We will use the formula hint it gives:
[tex]\displaystyle {1^{st}\;term} * \text{common ratio}\,^{(\text{desired term -1})}[/tex]
[tex]-1 * -4^{6-1}[/tex]
[tex]-1 * -4^{5}[/tex]
[tex]-1*-1,024[/tex]
[tex]1,024[/tex]
The 6th term in the sequence is 1,024.
A sphere with a 2-inch radius is packed in a cube so that all sided touch. How much empty space is left in the cube?.
Answers
The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.
The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches
The side length of the cube = 4 inches
Because diameter of the sphere is 4 inches and all sided touch to the cube face.
Volume of the cube = 4³ = 64
The volume of the empty space = 64- 33.51 = 30.49 cubic inches
Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
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A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec.
Answers
Step-by-step explanation:
distance = 400m
time taken = 1 min 35 sec = 95 sec
average speed = 400m / 95 sec = 4=2105 m/ sec
Answer:
4.21 m / sec.
Step-by-step explanation:
1 min 35 sec.
= 60 + 35
= 95 sec.
So average speed = 400/95
= 4.21 m / sec.
RIGHT ANSWER GETS BRAINLIST WORTH 30+ POINTS
Two number cubes are rolled.
What is the probability that the first lands on 6 and the second lands on an even number?
Select your answer, as a fraction in simplified form.
Question 5 options:
1/6
2/6
1/12
1/3
Answers
Answer:
Hi. Here is your answer:
1/6
Step-by-step explanation:
this is because 1/6 is equal to 5/30 of your answer.
here is proof.
which school do you go to?
Hope this helps
Brainliest please
Have a great day
Please fully rate!
The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
Calculation of the probabilities:Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.
Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.
Now the final probability should be
[tex]=\frac{1}{6}*\frac{1}{2}[/tex]
[tex]=\frac{1}{12}[/tex]
Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
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Round 418 to the nearest ten.
Answers
Answer:
The answer should be 420.
~
Step-by-step explanation:
11. The exponential function given by H(t)=80,030.83(1.0481)t, where t is the number of years after 2010, can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038.
Answers
A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The exponential function that can be used to project the number of centenarians in a certain country is [tex]H(t) = 80,030.83(1.0481)^t[/tex].
Now, the number of centenarians in the country in 2013 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}[/tex]
Also, the number of centenarians in the country in 2038 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}[/tex]
Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
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Convert the fractions to decimals
Answers
Answer:
0.333333...
Step-by-step explanation:
2/6 = 1/3 = 0.33333...
You can divide on paper or on a calculator 2÷6 or 1÷3 to find this. If you are allowed to use a calculator and your calculator has F>D and D>F buttons they are for converting decimals and fractions back and forth. On paper, you are doing like a long division calculation. Put 2 inside the little dividing frame and put 6 on the outside. Or 1 inside and 3 outside. See image.
Find the MAD:
98, 140, 220, 150
Answers
Answer:
I'm not too sure but I think It's 34
Step-by-step explanation:
Rusty in that particular area of math
39-50 find the limit.
41. [tex]\lim _{t \rightarrow 0} \frac{\tan 6 t}{\sin 2 t}[/tex]
Answers
Write tan in terms of sin and cos.
[tex]\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}[/tex]
Recall that
[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1[/tex]
Rewrite and expand the given limand as the product
[tex]\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)[/tex]
Then using the known limit above, it follows that
[tex]\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}[/tex]
The water usage at a car wash is modeled by the equation w(x) = 3x3 4x2 − 18x 4, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 2x3 2x2 − 18x − 11 c(x) = 3x3 2x2 − 18x 11 c(x) = 3x3 2x2 − 18x − 11 c(x) = 2x3 2x2 − 18x 11
Answers
A function, c(x), that models the water used by the car wash on a shorter day is C(x) = 4x³ + 7x² − 14x - 6
Calculations and Parameters:Given:
The amount of water used in normal days:
W(x) = 5x³ +9x²-14x +9 -----(i)The amount of decrease in water used is modeled by the equation;
D(x)= x³+2x² +15--------(ii)To find the function C(x), we would have to subtract eq(ii) from eq(i)
5x³ +9x²-14x +9
- x³+2x² +15
= C(x) 4x³+7x²-14x-6
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A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
Answers
Answer:
For the child 8 in.,
for the image(B) 9 1/4in
Step-by-step explanation:
Answer:
B. 9 1/4
Step-by-step explanation:
Covert 1/2 into 4ths.
3 2/4 + 5 3/4= 7 5/4 = 9 1/4
Hope this helps
Attendance at a state park throughout the year is found to be periodic and can be modeled by a
sine function. The attendance ranges from a low of approximately 1,000,000 visitors in September
to a high of approximately 2,000,000 visitors in March. If t is the month number, where t = 1 is January, and N(t) is the attendance, in millions, of visitors, which of the functions can be used to
model this behavior?
N(t) = 1.5 sin(t) + 0.5
N(t) = 0.5 sin(t) +1.5
N(t) = 2 sin ( ₹t) – 1
N(t) 0.5 sin(2t) + 1.5
Answers
The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
We know the sine function is:
y = Asin(w + c) + s
Here:
A is amplitude
w is angular velocity,
s is vertical Displacement,
c = phase angle
A = (2000000 - 1000000) /2 = 500,000
w = 2π/T
T = 12
w = 2π/12 = π/6
s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000
500,000sin(π/6 + 0) + 1500000
500000sin(π/6)+1500000
or
0.5sin(πt/6) + 1.5
Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
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What would be the volume of a sphere with a radius of 16 yd
Answers
Answer:
v=13117.69 m3
Step-by-step explanation:
Hope this helps.
Answer:
The answer is 803.84
Step-by-step explanation:
Carry on learning i hope this helps..
please I really need help
Answers
Answer:
C=12
Step-by-step explanation:
The interior angle of a polygon is 360.
So just add them all up.
(3c-29)+(127)+(c+43)+(c+43)+(2c+36)+(c+44)=360
Combine like terms
8c+264=360
Simplify
8c=96 . Divide both sides by 8
C=12
Explanation: Add all the like-terms together.
8c + 264 = 360
360 - 264 = 96
96/8 = 12
Using Euler's formula, how many
edges does a polyhedron with 4
faces and 4 vertices have?
[?] edges
Answers
The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have
We know the formula for the edges of the polyhedron will be
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
4 + 4 = E + 2
E = 8 - 2
E = 6
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The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.
Answers
Answer:
Step-by-step explanation:
An object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. which equation can be used to find the number of seconds it takes the object to hit the ground? 0 = –4.9t2 19.6t 24.5 0 = –4.9t2 24.5t 19.6 19.6 = –4.9t2 24.5t 24.5 = –4.9t2 19.6t
Answers
Check the picture below.
[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&19.6\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&24.5\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+19.6t+24.5\hspace{5em}\stackrel{\textit{when it hits the ground}}{0=-4.9t^2+19.6t+24.5}[/tex]
Answer:
A
Step-by-step explanation:
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the lower quartile
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the median.
2 QUESTIONS TO ANSWER PLEASE ANSWER THIS ASAP WILL GIVE BRAINIEST
Answers
Answer:
Below in bold.
Step-by-step explanation:
109, 94, 87, 103, 89, 112, 98, 115, 99
First arrange them in ascending order.
87 89 94 98 99 103 109 112 115
The median is the middle value:
= 99.
The lower quartile
= (89+94) / 2
= 183/2
= 91.5.
Which number added to -14 will equal 9?
Answers
Answer:
23
Add positive 14 and 9 to get 23
14 + 9 = 23
-14 + 23 = 9
I need help, please and thank you
Answers
Answer:
1 and 1/12
hope this helped
2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB
Answers
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.
Someone pls do this for me I give Brainly
Answers
Answer:
Kindly read through
Step-by-step explanation:
All have been solved step by step
Multiply and simplify: (1 + 5i)(3 - 8i)
Answers
Answer:
43 + 7i
Step-by-step explanation:
Given: (1 + 5i)(3 - 8i)
To find: Multiplication and simplification
Solution:
i=[tex]\sqrt{-1}[/tex],
Now, we simply open the brackets as follows:
(1 + 5i)(3 - 8i)
1(3 - 8i) + 5i (3 - 8i)
3 - 8i + 15i - 40[tex]i^{2}[/tex]
3 + 7i - 40[tex]i^{2}[/tex] - (i)
[tex]i^{2}[/tex] = i * i
[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = -1
Now, put [tex]i^{2}[/tex] = -1 into the equation (i)
we get
⇒ 3 + 7i -40(-1)
⇒ 3 + 7i + 40
⇒ 43 + 7i
∴ Final Answer : 43 + 7i
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
what we need to know here is that :
[tex]\qquad \sf \dashrightarrow \:i \cdot i = - 1[/tex]
Now, let's proceed accordingly ~
[tex]\qquad \sf \dashrightarrow \:(1 + 5i) \cdot(3 - 8i)[/tex]
[tex]\qquad \sf \dashrightarrow \:(1 \cdot3) - (1 \sdot8i) + (5i \cdot3) - (5i \cdot8i)[/tex]
[tex]\qquad \sf \dashrightarrow \:3 - 8i + 15i - ( - 1)(40)[/tex]
[tex]\qquad \sf \dashrightarrow \:3 + 7i - ( - 40)[/tex]
[tex]\qquad \sf \dashrightarrow \:3 + 40 + 7i[/tex]
[tex]\qquad \sf \dashrightarrow \:43 + 7i[/tex]
THIS IS EASY BUT PLEASE HELP ME IM BIT SLOW
Answers
Answer:
A: Isosceles (two sides the same)
B: Equilateral (all sides the same)
C: Scalene (all sides different)
Step-by-step explanation:
2. equilateral
3. scalene
8. Sabrina works in a restaurant. The dessert of the day is a slice of apple pie. Today, Sabrina served 33 slices of pie to her customers.
If there are 8 slices per pie, how many pies did Sabrina serve today? Write your answer as a mixed number.
with solutions
Please help thank you
Answers
Step-by-step explanation:
33÷8= 4 with one left over
4 and 1/8 is your mixed number!
