Answers
Answer:
area of sector - area of triangle
90/360×22/7×9×9 - 1/2×9×9
=63.64-40.5
=23.14
ans=23.14 squared inch
Related Questions
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Answers
Answer:
r = 19.0
s = 17.7
Step-by-step explanation:
In the given right triangle ABC,
Measure of Hypotenuse (AC) = 26
m(∠CAB) = 43°
By applying sine rule in the given triangle,
sin(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{BC}{AC}[/tex]
sin(43)° = [tex]\frac{s}{26}[/tex]
s = 26[sin(43)°]
s = 17.73
s ≈ 17.7
Similarly, by applying cosine rule in the given triangle,
cos(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{AB}{AC}[/tex]
= [tex]\frac{r}{26}[/tex]
r = 26[cos(43)°]
r = 19.02
r ≈`19.0
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 1020, 1140, and 960, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15
How many units of each product should the company produce in order to maximize its profit?
Product A
Product B
Product C
What is the largest profit the company can realize?
$
Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)
labor in Dept. I
labor in Dept. II
labor in Dept. III
Answers
Answer:
a)
product A = 12O units
Product B = 220 units
product C = 280 units
b) $9000 = max/largest profit
c) No resource left
Step-by-step explanation:
Available hours
Dept. I = 1020
Dept. II = 1140
Dept. III = 960
Total available hours = 3120 hours
products produced by each department
product A Product B Product C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. III 2 2 1
profits $18 $12 $15
Determine how many units of each product to be produced to attain maximum profit
let each product be represented as : x , y , z
2x + y + 2z = 1020 -------- ( department A ) --- 1
3x + y + 2z = 1140 -------- ( department B ) --- 2
2x + 2y + z = 960 --------- ( department c ) ---- 3
max profit : 18 x + 12y + 15 y
solving equation 1 from 2
x = 120
solve equation 2 from 3 simultaneously
x - y + z = 180
-y + z = 60
solve equation 1 and 3
-y + z = 60
∴ z = 60 + y
back to equation 1
2( 120 ) + y + 2( 60 + y ) = 1020
240 + y + 120 + 2y = 1020
∴ y = (1020 - 360 )/ 3 = 220
therefore ; z = 60 + 220 = 280
amount of each product to be produced to gain maximum profit
product A = 12O units
Product B = 220 units
product C = 280 units
ii) The largest profit
18 ( 120 ) + 12(220) + 15 ( 280 ) = $9000
Select the correct answer. What is the period of ? A. B. C. D.
Answers
Answer:=
2π/3
Step-by-step explanation:
plato
What is the 21st term of the sequence with a1 = -7 and d = 3?
Answers
Answer:
53
Step-by-step explanation:
[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]
Answer
53
Step-by-step explanation:
Solve the following word problem by creating and solving a system of linear equations. Rachel offers to go to the coffee shop to buy cappuccinos and lattes for her co-workers. She buys a total of nine drinks for $35.75. If cappuccinos cost $3.75 each and the lattes cost $4.25 each, how many of each drink did she buy? a 2 cappuccinos, 7 lattes b 6 cappuccinos, 3 lattes C 4 cappuccinos, 8 lattes d 5 cappuccinos, 4 lattes
Answers
Answer:
85
Step-by-step explanation:
jack surveyed students at his school about whether they use computers or cell phones more. He found that of the 74 seventh-graders he surveyed, 53 said they used their cell phones more. In the 8th grade, 59 students used their cell phone more, compared to 38 who used their computer more. What number should be placed in the orange box below?
Answers
Answer:
Number of student of 7th grade using computer = 21
Total number of 8th grader student surveyed = 97
Step-by-step explanation:
The complete question is attached herewith
Solution
As we can see in the table
Total number of 7th grader student = 74
Out of these 74 student, 53 use cell phone
Hence, the number of student of 7th grade using computer = 74-53 = 21
Like wise, total number of 8th grader student surveyed = 59 +38 = 97
someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING
Answers
Answer:
a) 8 m
Step-by-step explanation:
a) all sides of a square are equal - there's 4 sides.
4x = 32m
x = 32/4
x = 8 m
i like ur toga pfp besty :)
if the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?
Answers
Answer:
4,500 cubic units
Step-by-step explanation:
Answer:
4,500 cubic units
Have a good day.
Anyone know how to do this people are answering the question but aren’t choosing two anwsers
Answers
Answer:
Option B and Option D are the two answers
y is directly proportional to the square root of (x+2). when x =7 y=2. find y when x =98
Answers
Answer:
98/7=14
14*2=28
y=28
Step-by-step explanation:
Find the surface area of the following figure with the given dimension
Answers
Answer:
435 in.²
Step-by-step explanation:
Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)
Area of base = s²
s = 15 in
Area = 15² = 225 in²
Perimeter of the base = 4(15) = 60 in
Slant height = 7 in
Surface Area = 225 + ½(60)(7)
= 435 in.²
what is the markup percentage based on retail for an item with a dollar mark up of $70.00, cost of $30.00, and retail price of $100.00?
Answers
Answer:
70/100= 0.7= 70%
70%
. An oil refnery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refnery to storage tanks located on the south bank of the river 6 km east of the refnery. The cost of laying pipe is $400,000ykm over land to a point P on the north bank and $800,000ykm under the river to the tanks. To minimize the cost of the pipeline, where should P be located
Answers
Answer:
The point P should be located at 0,51 Km from point B, to minimize costs
Step-by-step explanation:
The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:
Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L
where L is the hypothenuse of the right triangle ( A , B , P )
Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²
C (x) = 400000* ( 6 - x ) + 800000* √4 + x²
C(x) = 2400000 - 400000*x + 800000* √4 + x²
Tacking derivatives on both sides of the equation
C´(x) = - 400000 + 800000* ( 2x)/√4 + x²
C´(x) = 0 - 400000 + 1600000*x / √4 + x² = 0
- 400000* (√4 + x² ) + 1600000*x = 0
- (√4 + x² ) + 4* x = 0
- (√4 + x² ) = - 4*x
Squaring both sides
4 + x² = 16*x²
15*x² = 4
x² = 4/ 15
x = ± √0,27
x = ± 0,51
We should dismiss the negative solution
x = 0,51 Km
The point P should be located at 0,51 Km from point B
HELP GIVING 20 POINTS
While on vacation in Belmont, Lara went out for a dinner that cost $75. If sales tax in Belmont is 8% and Lara left a 20% tip on $75, what was the total cost of her meal?
Answers
Answer:
The total cost as $96
Step-by-step explanation:
To find the total amount find the tax amount and the tip amount
75 * 8% = 6
75 * 20% = 15
add 6 and 15 to 75 to get 96
Answer:
ok
Step-by-step
ok
if x=49 and y=160 then what is the value of z?
Answers
9514 1404 393
Answer:
z = 62°
Step-by-step explanation:
You know that ...
x = (1/2)(y -z)
So ...
2x = y - z
z = y - 2x = 160 -2(49)
z = 62 . . . . degrees
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 12y = -96
Answers
Answer:
2/3x+8=y
Step-by-step explanation:
8x-12y=-96
8x+96=12y
8/12x+8=y
2/3x+8=y
The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.
What is equation?Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.
Given:
The equation, E = 8x – 12y = -96,
The standard intercept form of a line,
[tex]y = mx + c[/tex]
Here m is the slope,
For this form, arrange the equation,
– 12y = -8x - 96
(Do multiplication of -1/ 4 on both sides)
3y = 2x + 24
Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
find the area of this parallelogram
Answers
Answer:
98 in²
Step-by-step explanation:
14x7=98
(07.01)
What is the value of x in the equation x + 10 = 13? (4 points)
1-3
0 2 3
3) 13
4) 23
Answers
-10 -10
—————
x= 3
Answer is: 2) 3
Answer:
x=3
Step-by-step explanation:
x+10=13
x=13-10
x=3
1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=
Answers
Answer:
A=3
B=-9
C=4
Hope this helps ^^
What’s the answer to 2 + 6 = ?
I don’t care what you say, this is just get one of you a Brainliest.
Answers
2+6 is 8
(It says I need 20 characters to make an answer so Im just writing this down)
Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?
Answers
Answer:
5.24 hours
Step-by-step explanation:
I like to set these up as ratios.
279 miles/4.5 hours = 325 miles/ x hours
Then cross multiply
279x = 4.5 x 325
279x = 1462.5
divide both sides by 279
x = 5.24 hours
You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:
279/4.5 = 62mph
325/62 = 5.24
Helppp plssssssssssss
Answers
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.
please help im stuck on this
Answers
Answer:
Slope = -8/5
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs given in the graph: (-1, 4) and (4, -4).
m = -4 - 4 / 4 - - 1
m = -8 / 5
m = -8/5
m = rise/run, meaning verticl units/horizontal units
Check your work by counting it out on the graph:
From the first black dot at (-1, 4), count 8 units down and then 5 units to the right. After counting, I ended at the second ordered pair at (4, -4) which means my slope is correct.
Plsss help mark brainlist
Answers
Answer:
17
Step-by-step explanation:
34 / 2 = 17
Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.
-4x+y=12
-8x+2y=14
Answers
Answer:
no solution
Step-by-step explanation:
4n = 2n+6 I really need help
Answers
) What is the absolute value |-5 l
Answers
Answer: 5
Step-by-step explanation:
Evaluate
56% of 700
Can someone please help me ;)
Answers
What is the answer please help no links I will report
Answers
Answer: I AM GOING TO SAY THE ANSWER IS 25%
Step-by-step explanation:
. Eado fime Blend buys lunch at school, the balance on her school lunch account changes
by 53. Last month, Eiend's balance changed by-536 in all. She wants to know how
many times she bought lunch last month
Which expression represents the number of times
Een bought lunch last month?
- 36 - 3
-263
No LINKS
Answers
Answer:
-36 ÷ -3
Step-by-step explanation:
Change in her school lunch account balance per lunch = -3
Total change in her school lunch balance last month = -36
Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch
= -36 ÷ -3
= -36/-3
= 12 times
Elena bought lunch 12 times last month