Answer:
The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].
Step-by-step explanation:
Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:
[tex]2\cdot x + y = k, \,k\neq 6[/tex] (1)
Then, a possible solution is [tex]2\cdot x + y = -2[/tex].
does anyone know how to solve this?
Answer:
[tex]x=360[/tex]
Step-by-step explanation:
The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,
[tex]m<MON = MN\\[/tex]
Substitute,
[tex]x=2\pi[/tex]
However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,
[tex]degree=\frac{\pi}{180}radians[/tex]
Substitute,
[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]
Simplify,
[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]
Answer:
x = 45°
Step-by-step explanation:
Given arc length = 2π cm
Radius, r = 8 cm
[tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]
[tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]
the perimeter of a rectangle is 56 meters. Find the dimensions of the rectangle if they are in the ratio 1:3
Answer:
length= 7m and breadth= 21m
Step-by-step explanation:
Perimeter=56m
Perimeter of a rectangle= 2(l+ b)
Dimensions in the ratio 1:3
1:3= 1x and 3x
Take length as 1x and breadth as 3x
2(1x+3x)= 56m
2(4x)= 56
8x=56
x= 56/8 = 7m
length= 1x= 7m
breadth= 3x= 3*7 = 21m
Please mark me as brainliest
Helppppppppp meeeeeeeeeeeeeeee
Answer:
x = 16
Step-by-step explanation:
(5x + 14)° + (x + 19)° + (2x + 19)° = 180°
8x + 52 = 180
8x = 128
x = 16
Help me to do this question plz
2x+10 = x+25 (being vertically opposite angle)
2x-x = 25-10
x = 15
Answer:
x = 15
Step-by-step explanation:
The 2 angles are vertical angles and congruent, then
2x + 10 = x + 25 ( subtract x from both sides )
x + 10 = 25 ( subtract 10 from both sides )
x = 15
Work out angle bxc give a reason for each angle you work out
Answer:
is there a pic to go along?
Step-by-step explanation:
? i need a pic
Square root of 556516 by long division method.
Please any Mathematics Moderator:(
Help me please!:(
Step-by-step explanation:
hear is your answer but I am not moderator
answer is 746
help me..........
only 12......
Answer:
Step-by-step explanation:
Step-by-step explanation:
the answer is in the image above
Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box release mouse evaluate
Answer:
1/9
Step-by-step explanation:
0.1(repeating)
A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement
Answer:
AUB= {1,2,3,5,6,7,9}
AnB={1,2,3}
Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?
Answer:
90 hours of training would you need to pay
Answer:
90hours
Step-by-step explanation:
Addition of 10 hours= Addition of 150$
an=a+(n-1)d
2450=1250+(n-1)(150)
120/15=n-1
8+1=n
n=9
and 9x10=90 (each n=10hours)
Thus:
B. 90 hours
Brianliest please
2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.
Project Erie
Time 0 1 2 3 4 5
Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250
Answer:
IRR = -5.19%
MIRR = 3.33%
The company should reject the project
Step-by-step explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = -$12,000
Cash flow in year 1 = $2,360
Cash flow in year 2 = $4,390
Cash flow in year 3 = $1,520
Cash flow in year 4 = $980
Cash flow in year 5 = $1,250
IRR = 5.19%
The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.
MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n) - 1
n = number of years
present value of the firm's cash outflow = $12,000
Future value of a firm's cash inflow
Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51
Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63
Future value of year 3's cash flow =$1,520 x (1.12^2) = $1906.69
Future value of year 4's cash flow = $980 X 1.12 = 1097.60
Future value of year 5's cash flow = 1250
Add the future values together = $14,135.43
($14,135.43 / $12,000)^0.2 - 1 = 3.33%
The project should be rejected because the IRR is negative.
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?
Explain how to use an area model to solve the problem.
Answer:
possibly 11 hours on each which is embarrassing
helppppppp really please.
Answer:
x ≈ 101.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan44 = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{98}{x}[/tex] ( multiply both sides by x )
x × tan44° = 98 ( divide both sides by tan44° )
x = [tex]\frac{98}{tan44}[/tex] ≈ 101.5 ( to the nearest tenth )
Which expressions are equivalent
27x/9x
Answer:
3x
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
You have [tex]\frac{27x}{9x}[/tex]
You can factor out the x in the numerator and denominator to get [tex]\frac{27}{9}[/tex]
You can further simplify this by factoring out a 9 => [tex]\frac{3(9)}{(9)}[/tex]
Thus getting 3
complete the table of values for y=2x+3
Please help me lovee<3
Given(a*b)*c=a*(b*c) what property does this represent
Answer:
The associative property allows us to change groupings of addition or multiplication and keep the same value. (a+b)+c = a+(b+c) and (a*b)*c = a*(b*c).
Step-by-step explanation:
in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.
Answer:
Associative
Step-by-step explanation:
seratus di tambah dua puluh berapa?
Answer:
120Step-by-step explanation:
▶️ Penyelesaian:
100
20 +
120 ✅
Answer:
what?
Step-by-step explanation:
find the area of the circle use 3.14 for it d = 10 cm a = ? cm^2
NO TROLLS TY
Answer:
78.5 cm²
Step-by-step explanation:
GIVEN :-
Diameter of the circle (d) = 10 cmπ = 3.14TO FIND :-
Area of the circle (a)FORMULAES TO BE USED IN THIS QUESTION :-
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Area = \pi \times (Radius)^2[/tex]SOLUTION :-
[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]
[tex]=> Area = \pi r^2[/tex]
[tex]= 3.14 \times (5)^2[/tex]
[tex]= 3.14 \times 25[/tex]
[tex]= 78.5 \: cm^2[/tex]
Describe the pattern and determine what the next number in pattern 6,1,-4,-9,-14 , ?
Answer:
i subtract 5 from each term
Step-by-step explanation:
6 - 1 = 5
1 - (-4) = 5
-4 - (-9) = 5
-9 - (-14) = 5
edited:
next number: -19
-14 - 5 = -19
hope this helped!
Find the area of triangle.
Answer:
16cm2
Step-by-step explanation:
(1/2) × 8 ×4=16cm2
the answer is 16 cm squared
Answer:
The area is 16 cm^2
Why? Below I explain.
Step-by-step explanation:
In that triangle, there are 2 sides, so you need to use this formula:
B * H / 2
Using those values:
4 * 8 / 2 is equal to 16.
7.2 cm
6 cm
15 cm
8 cm
Answer:
i need to know the answer or the question plz
Representa en lenguaje algebraico el siguiente enunciado: La mitad de un número aumentado en seis unidades
Adam builds model rockets. Where he lives, his backyard is 12 feet below sea level. When he ignites his rocket, it flies a maximum of 350 feet straight up into the air before releasing its parachute. What is the altitude of Adam’s rocket at its highest point, as measured from sea level
Answer:
338 feet
Step-by-step explanation:
350 - 12 = 338
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
hey, pls help, i'll mark brainliest if ur answer is correct
20% of the roses Annette picked from a rose garden were red. If she picked 10 red roses, how many roses did she pick from the garden?
a. 50 roses
b. 40 roses
c. 30 roses
d. 20 roses
Answer:
the answer is A
Step-by-step explanation:
20% + 20% = 40% = 20 Red roses
40% + 40% = 80% = 40 Red roses
80% + 20% = 100% = 50 Red Roses
find the Hcf of 15 30 90
Answer:
15=3*5
30=5*6
90=5*3*5*2*3
So, HCF=15
Step-by-step explanation:
Hope it helps
Step-by-step explanation:
Hey there!
HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.
The given numbers are: 15,30,90.
15 = 3*5
30 = 2*3*5
90 = 2*3*3*5
Now, from the above solutions take all the common factors.
From the factors of all three numbers, 3*5 are common.
Therefore, the HCF of the numbers is 3*5 = 15.
Hope it helps!
What is the value of the expression below?
2[3(4+1)]-2
Answer:
28
Step-by-step explanation:
2[3*5]-2
2*15-2
30-2
28
Find the zeros of the function f(x) = (x + 2)(x - 3)(x + 12)
Step-by-step explanation:
f(x) = (x + 2)(x - 3)(x + 12) = 0
(x + 2)(x - 3)(x + 12) = 0
so, the zeros of the function :
=> x1 = -2
=> x2= 3
=> x3 = -12
Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1
Answer:
the answer is 77.1