9514 1404 393
Answer:
(d)
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)(3.14)(4 m)² = 25.12 m²
The area of the triangle is ...
A = 1/2bh
A = 1/2(12 m)(8 m) = 48 m²
Then the total area of the composite figure is ...
total area = semicircle area + triangle area
= 25.12 m² + 48 m² = 73.12 m²
_____
Additional comment
The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.
You should talk to your teacher about this question. None of the offered choices is correct.
4n = 2n+6 I really need help
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
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
What Happens to the value of the expression 100 minus X as X increases
Step-by-step explanation:
if f (x) = 100 - x;
as x increases, the value of f(x) will decrease
Answer:
100 decreases
Step-by-step explanation:
y is directly proportional to the square root of (x+2). when x =7 y=2. find y when x =98
Answer:
98/7=14
14*2=28
y=28
Step-by-step explanation:
Select the correct answer. What is the period of ? A. B. C. D.
Answer:=
2π/3
Step-by-step explanation:
plato
What is the answer please help no links I will report
Answer: I AM GOING TO SAY THE ANSWER IS 25%
Step-by-step explanation:
What is the 21st term of the sequence with a1 = -7 and d = 3?
Answer:
53
Step-by-step explanation:
[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]
Answer
53
Step-by-step explanation:
Find the surface area of the following figure with the given dimension
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 absolute value |-5 l
Answer: 5
Step-by-step explanation:
A linear function is graphed below.
(-1, 4)
(5, -5)
What is the slope of this graphed line?
Answer:
[tex]-1\frac{1}{2}[/tex]
Step-by-step explanation:
We have two coordinate points and are asked to find a slope.
When finding slope, we can use the formula listed :
[tex]\frac{y^2-y^1}{x^2-x^1}}[/tex]
To understand what the variables are, you can take this :
[tex](x^1,y^1)[/tex]
[tex](x^2,y^2)[/tex]
Substitute the points :
[tex](-1,4)[/tex]
[tex](5,-5)[/tex]
Now substitute it into the formula :
[tex]\frac{-5-4}{5-(-1)}[/tex]
[tex]\frac{-3}{2}[/tex]
[tex]-1\frac{1}{2}[/tex]
Answer:
Step-by-step explanation:
find the slope m by using the slope formula
m = (y2 - y1) / (x2 - x1)
Point1 = ( -1,4) where it takes the form (x1,y1)
Point2 =(5, -5) where it takes the form (x2,y2)
notice the form is important
m = (-5 -4) / (5 - (-1))
m = -9 / ( 5 +1 )
m = -9 / 6
m = - 3/2
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
Answer:
85
Step-by-step explanation:
someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING
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 :)
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
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
find the area of this parallelogram
Answer:
98 in²
Step-by-step explanation:
14x7=98
how do you solve 6 1/2 x 16?
Answer:
Step-by-step explanation:
Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )
divide 16 by 2: 8
multiply that by 13: 104
Tell me if this helps or not bc I'm not really sure, but I really hope I helped!
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
Answer:
no solution
Step-by-step explanation:
Please help I’ll give points + brainalist
Answer:
D
Step-by-step explanation:
median because it indicates the expected range of gas prices
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?
Answer:
70/100= 0.7= 70%
70%
What’s the answer to 2 + 6 = ?
I don’t care what you say, this is just get one of you a Brainliest.
2+6 is 8
(It says I need 20 characters to make an answer so Im just writing this down)
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 12y = -96
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
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?
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
Tom has £20 what is the greatest amount of meals he can buy
Answer:
he can buy McDonalds
he can go to grocery store and buy something to cook or maybe bakery iteams
Answer:
hmm
Step-by-step explanation:
he can go buy some rice and boil it as dinner for a lot of food
Examine the diagram, where quadrilateral HIJK is inscribed in OC.
H
RD
K
112
1
J
© 2016 StrongMind. Created using GeoGebra.
If mZIJK = 112°, what is mZIHK?
Answer:
m<IHK = 68°
Step-by-step explanation:
In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.
Therefore,
m<IHK = 180 - m<IJK
m<IHK = 180° - 112°
m<IHK = 68°
1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=
Answer:
A=3
B=-9
C=4
Hope this helps ^^
. 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
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
. 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 $800,000ykm under the river to the tanks. To minimize the cost of the pipeline, where should P be located
Answer:
The point P should be located at 0,51 Km from point B, to minimize costs
Step-by-step explanation:
The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:
Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L
where L is the hypothenuse of the right triangle ( A , B , P )
Cost ($) = 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
(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
Answer:
x=3
Step-by-step explanation:
x+10=13
x=13-10
x=3
if the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?
Answer:
4,500 cubic units
Step-by-step explanation:
Answer:
4,500 cubic units
Have a good day.
Evaluate
56% of 700
Can someone please help me ;)
Helppp plssssssssssss
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.