Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.
so,
the opposite angle of x is
180 - 90 - 44 = 46 degrees.
x/sin(46) = 6/sin(90) = 6
x = 6×sin(46) = 4.316038802...
rounded x = 4.3
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.
Which type of function best models the relationship between the number of days and the inventory remaining?
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
What is linear function?
A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.
According to the given equation
We have a graph which shows the remaining inventory.
In which x represents the number of days and y represents the inventory remaining.
Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.
Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.
Substitute y = 30 and x = 14 in y = mx + b
⇒ [tex]30 = m(14) + b...(i)[/tex]
Similarly,
substitute y =65 and x =2 in y = mx + b
⇒[tex]65 = 2m + b..(ii)[/tex]
From equation (i) and (ii)
[tex]m = \frac{-35}{12}[/tex]
and [tex]\frac{50}{3}[/tex]
Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]
Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .
Learn more about linear function here:
https://brainly.com/question/21107621
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According to the Rational Root Theorem, the following are potential roots of f(x)=9x2−3x−2.1,
−1,23,19
Which is an actual root of f(x)?
Step-by-step explanation:
9x2 -3x -2 factors to (3x-2)(3x +1)
solve 3x-2 =0 and 3x+1=0
making the roots -1/3 and 2/3
Select the true statement about triangle ABC.
O A. sin A = cos B
O B. sin A = tan c
C. sin A= sin C
OD. sin A = cos C
Answer:
A=cos C
Step-by-step explanation:
mass–energy equivalence formulpa E
Ilana ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute?
O 10 of a lap per minute
1
O of a lap per minute
O 4 laps per minute
10 laps per minute
How many laps?
Answer: She ran 0.25 laps a minute
Step-by-step explanation:
Every minute she runs 0.25 a minute which means that every 4 minutes she runs 1 lap which means if she run for 8 minutes she gets 2 laps
Answer:
?
Step-by-step explanation:
what does the O mean
-2r+11=13 2r=2 r= I need help
Answer:
-2r = 2 - Subtract 11 from both sides
r = -1
40 PTSS GUYS PLEASE DO THIS PROBLEM ILL GIVE BRAINLIST TOO!
Answer:
where are the problem?
Step-by-step explanation:
sorry no problem
(-5,1) and (-5,4) what is the slope of the line that passes through the given points
Answer:
Undefined
Step-by-step explanation:
I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:
[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]
And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.
Hopefully that's helpful! :)
Answer:
undefined
Step-by-step explanation:
(-5, 1) and (-5, 4) lie on the same vertical line.
A vertical line has undefined slope.
A principal of $4300 is invested at 3% interest, compounded annually. How much will the investment be worth after 5 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
You would have 4945 dollars in 5 years.
Step-by-step explanation:
First we look for what 3% of 4300 is
After we find it we have 129 dollars
Every year we gain 129 dollars for 5 years
129 · 5 = 645
Now we add : 4300 + 645 = 4945 dollars after 5 years
POSSIBLE POINTS: 11.76
Which two equations have infinitely many solutions?
A }(6x – 12) = 2(x - 2)
B { (4x + 8) = 2x + 8
C 3(2x - 7) = 6(x – 4) - 3
D 4(x + 6) = x + 3(x + 5) +9
E 5(x + 1) = 3x + 2(x + 1) + 4
Answer:
B and D.
Brainliest please. :)
which statement is correctly written as a conditional statement
Answer:
a shape has four sides,or it is a quadrilateral
x=2y=-1
-5x-9y=2
elimation
Answer:
Step-by-step explanation:
We know x=2y=-1
So -5x-9y=2
<=> -5(1) +(-4)(1) - (y) =2
<=> -9- (y)=2
<=> y=-9-2
<=> y=-11
P/s: -9y= -8y-y = -4x-y = (-4)(1)-y
ok, i'm done. Thank to me :>
Help Please. It's 10:11 AM right now. This due by 12 PM or in 2 more hours. I don't know this.
Answer:
B) 2,000.
Step-by-step explanation:
As the mean is 6000 the total number of students = 5*6000
= 30,000.
If graduates are excluded we have 4*7000 = 28,000 students.
So the number at graduate level
= 30,000 - 28,000
= 2,000.
help me
[tex] \: [/tex]
A C E isoscles ACAR is inscribed in o E If mCR = 1300 Find:
11.m CAR
12. mACR
13. mARC
14. mAC
15. mAR
[tex] \: [/tex]
marking brainlist
with explanation
I will report nonsense answer
need properly answer
[tex] \: [/tex]
Answer:
#11m∠CAR = (1/2)mCR = (1/2)(130°) = 65°#12 and #13m∠ACR = m∠ARC = 1/2(180° - 65°) = (1/2)(115°) = 57.5° #14 and #15mAC = mAR = 2(m∠ACR) = 2(57.5°) = 115°Simplify the expression 8h + (-7.7d) -14 + 5d - 2.4h.
Answer:
8h - 7.7d - 14 + 5d - 2.4h
5.6h - 2.7d - 14
Answer:
8h+-7.7d-14+5d-2.4h
Combine -7.7d and 5d to get -2.7d.
8h-2.7d-14-2.4h
Combine 8h and -2.4h to get 5.6h.
5.6h-2.7d-14
Step-by-step explanation:
id k
Find the equation of this line.
(0,1)
(-3,0)|
y =
x+
Answer:
y = 1/3x +1
Step-by-step explanation:
y intercept is 1 and the rise is one with a run of 3
Find the value of x-5 when x= 15
Answer:
15 - 5 = 10 wow that was so hard
Answer:
the awnser is 10
Step-by-step explanation:
x=15 so
15-5=10
 WILLL GIVE 100 points
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .
The points of the polygon =(3,3) (0,3) (6,-6) (9,6)
Image attached of the polygon
Answer:
The image of the dilated polygon is attached below
Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).
Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at (0, 0), the new vertices is at:
A'(0,0), B'(1, 1) and C'(-1, 1)
The graph of the polygon is attached.
A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint using 21 pounds of blue paint how much yellow paint would you need
help help help help Please
Answer:
It rises -4 and runs 6
Step-by-step explanation:
So the slope is -4/6
find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius a
Answer:
d.
took the test
Step-by-step explanation
help.......................................................
Answer:
Down here ↓↓↓↓↓↓
Step-by-step explanation:
Anything below 1 is a reduce
Anything above 1 is an enlarge
Anything equal to 1 is a preserve
1. Reduce, 0.75 < 1
2. Reduce, 4/5 < 1
3. Enlarge, 4.2 > 1
4. Preserve, 8/8 = 1
5. Enlarge, 7/2 > 1
6. Preserve, 1 = 1
7. Reduce, 0.1 < 1
8. Enlarge, 1 2/3 > 1
9. Enlarge, 12 > 1
-Chetan K
How do you give Brainliest?
Answer:
You press a little crow looking thing on the bottom of the persons answer
Step-by-step explanation:
Help me please!
Mathematics
Answer:
x=12
Step-by-step explanation:
i'm assuming the numbers are the lengths of each segment. 8/24 = 1/3, so 4/x=1/3, cross multiply to get x=12
umm i have an answer but not sure help
Answer:
tan A = 8/15
sin A = 8/17
cos A = 15/17
Step-by-step explanation:
Follow "SOH-CAH-TOA"
SOH---> sin A = (opposite of the angle mentioned) / hypotenuse
CAH---> cos A = (adjacent of the angle mentioned) / hypotenuse
TOA---> tan A = (opposite of the angle mentioned) / (adjacent of the angle mentioned)
Note: Hypotenuse is the side opposite of 90° of a right-angled triangle.
Brian invests £7500 into his bank account.
He receives 6% per year compound interest.
How many years will it take for Brian to have more than £10000?
Answer:
5 years
Step-by-step explanation:
Five players are given $10 each and asked to contribute any portion of it to a group account. They are also told that the total collection will be doubled and distributed equally among each of them. In this case, the players are likely to contribute __________.
Answer:
nothing
Step-by-step explanation:
It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds
Answer:
9 pounds
Step-by-step explanation:
you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds
Please help me!!!!!!!!!!! Find the coordinates of P scale factor of 3
Answer:
P'(3, -12)
Step-by-step explanation:
Assuming we're dilating the figure by a factor of 3 using the origin as the center of dilation, the coordinates of P' will be 3 times those of P:
P' = 3P
P' = 3(1, -4)
P' = (3, -12)
Find the value for each variable.
Step-by-step explanation:
3x=21
x=21/3 = 7.
hope this helps.
Answer using seconds please!!!
Using my faucet, it takes 6 minutes to fill our water tank.
Using the neighbour’s hose, it takes 9 minutes.
How long would it take if I used both the faucet and the hose?
Answer:
900 seconds I believe
Step-by-step explanation:
60*6= 360
9*60=540
540+360=900