Answer:
There are two answers, c=20.2 or c=1.0
Step-by-step explanation:
The value of c is 20.2 units
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that: a2 = b2 + c2 − 2bc·cosA. As stated above, the law of cosines in trigonometry generalizes the Pythagorean theorem.
Law of Cosines FormulaThe law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given i.e., it is used in the case of a SAS triangle. We know that if A, B, and C are the vertices of a triangle, then their opposite sides are represented by the small letters a, b, and c respectively. The law of cosines formula is used to:
find a when b, c, and A are given (or)find b when a, c, and B are given (or)find c when a, b, and C are given (or)find any angle of the triangle when a, b, and c are given.
There are three laws of cosines and we choose one of them to solve our problems depending on the available data.
a2 = b2 + c2 - 2bc·cosAb2 = c2 + a2 - 2ca·cosBc2 = a2 + b2 - 2ab·cosCAs,
m∠A=15°, a=10, and b=11.
Now, using cosine rule
cos A = b² + c² - a²/ 2bc
cos 15 = 121+ c²-100/22c
0.96 = 121+ c²-100/22c
21.25 c = 21 + c²
21 + c² - 21.25 c=0
By solving the quadratic equation
c=20.2 units.
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At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers?
Answer: 8 days
Step-by-step explanation:
Given, At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers.
i.e. [tex]\dfrac{4}{5}[/tex] x (1 day) = [tex]\dfrac{1}{10}[/tex] x (an order of sneakers)
Multiply 10 on both the sides , we get
[tex]\dfrac{4}{5}\times10[/tex] x (1 day) = [tex]\dfrac{1}{10}\times10[/tex] x (an order of sneakers)
⇒[tex]4\times2[/tex] x (1 day) = an order of sneakers
⇒[tex]8[/tex] x (1 day) = an order of sneakers
i.e. Time to complete an order of sneakers = 8 days
Hence, it will take 8 days to complete the entire order of sneakers.
Answer: 8 days total
Step-by-step explanation:
what is 23/20 as a mixed number
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation:
'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with '[tex]\frac{3}{20}[/tex]' as the remainder, so '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.
Put them together, and you get: [tex]1\frac{3}{20}[/tex]
The fraction is already in it's simplest form.
Brainilest Appreciated.
The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
We have to given that,
A number is,
⇒ 23 / 20
We can divide it for the mixed fraction as,
⇒ 23 / 20
20 ) 23 ( 1
- 20
--------------
3
Therefore, It can be written as,
⇒ 23 / 20 = 1 3/20
Thus, The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
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Please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please solve it all please if you can save the picture and do it on the page
Answer:
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
dosto answer and main mixed fraction main aana chahiye it's very important.
Answer:
32-(7-17)+11
32-(-10)+11
32+11-(-10)
43-(-10)
53
−2(x−7)+3(x+5)=x+9 PLEASE HELP
Answer: no solution
Step-by-step explanation:
-2(x-7)+3(x+5)=x+9
Distribute
-2x+14+3(x+5)=x+9
Distribute
-2x+14+3x+15=x+9
Combine like terms
x+29=x+9
Subtract(x)
29=9
Because 29 does not equal 9, the equation has no solutions
Hope it helps <3
Answer:
There is no solution.
Step-by-step explanation:
[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]
Distribute -2 through the parentheses
[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]
Distribute -3 through the parentheses
[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]
Collect like terms
[tex]x + 14 + 15 = x + 9[/tex]
Add the numbers
[tex]x + 29 = x + 9[/tex]
Cancel equal terms on both sides of the equation
[tex]29 = 9[/tex]
The statement is false for any value of x
x ∈ ∅
Hope this helps..
Best regards!!
Complete the statements about the system of linear
equations represented by the tables.
The equation representing the left table is
y = 1.5x - 6.
The equation representing the right table is
y=-4x + 6.1
The solution to the system of equations is?
Answer:
(2.2, -2.7)Step-by-step explanation:
y = y1.5x - 6 = -4x + 6.1+4x+6 +4x+6
5.5x = 12.1÷5.5 ÷5.5
x = 2.2y = -4×2.2 + 6.1 = - 8.8 + 6.1 = - 2.7Answer:
Left table: y= 1.5x - 6
Right table : y= -4x + 6.1
Solution : (2.2 , -2.7)
Step-by-step explanation:
:)
HELP!
Please answer i)
Answer:
(i) The increase expected in the share price between the first year and the third year is $0.90
(ii) The 10th year
Step-by-step explanation:
(i) The given relation is [tex]V = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]
In the first year, we have t = 1, which gives;
[tex]V = 2.95+2\cdot log_{10}\left (10\times 1 + 1 \right ) = 2.95+2\cdot log_{10}\left (1 1 \right ) = \$5.03[/tex]
In the third year, we have t= 3 which gives;
[tex]V = 2.95+2\cdot log_{10}\left (10\times 3 + 1 \right ) = 2.95+2\cdot log_{10}\left (31 \right ) = \$5.93[/tex]
Therefore, the increase expected in the share price between the first year and the third year is $5.93 - $5.03 = $0.90
(ii) When the share price value becomes >$7.00, we have;
[tex]7 = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]
Which gives;
7 - 2.95 = 2·㏒(10·t + 1)
4.05/2 = ㏒(10·t + 1)
2.025 = ㏒(10·t + 1)
[tex]10^{2.025} = 10 \cdot t + 1[/tex]
105.93 = 10·t + 1
104.93 = 10·t
t = 104.93/10 = 10.493 ≈ 10.5 years which is within the 10th year.
What is the slope of the line that contains the points (-5, 6) and (14.-7)?
O A.
7
19
B.
7
5
C.
13
5
O D.
13
19
Answer:
D = - 13/19
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1) = (6- (-7))/(-5-14) = - 13/19
Answer this in two minutes
Answer:
900
Step-by-step explanation:
a heptagon has 7 sides, so we take the hexagon's sum of interior angles an and add 180 to it's getting us, 720 + 180 = 900 degrees
Given that 7 x − 2 y = 35 Find y when x = − 9
so x = minus 9
then
7 × (-9) - 2y = 35
-63 - 2y = 35
-2y = 35 plus 63
-2y = 98
- y = 49
y = -49
Answer:
[tex]\boxed{y = -49}[/tex]
Step-by-step explanation:
=> [tex]7x-2y = 35[/tex]
Given that x = -9
=> [tex]7(-9) -2y = 35[/tex]
=> [tex]-63-2y = 35[/tex]
Adding 63 to both sides
=> [tex]-2y = 35+63[/tex]
=> [tex]-2y = 98[/tex]
Dividing both sides by -2
=> [tex]y = -49[/tex]
Un agricultor observó que la expresión F(x)=-2x2+16x+25 describe la producción (P), en toneladas, de cacao que cosecha en sus tierras en función de la cantidad (x), en toneladas, de fertilizante empleado. La producción de cacao será máxima cuando la cantidad de fertilizante x es igual a:
Answer:
348 7gb93c9 good morning to you all right place on my bed right now iam not geting the best way u are gonna be in this situation is it was not Halloween but gug batson vocal vox's John b bucko and my dear loving n love u soo hapy that u can go ahead with it is my beauty grl for the kichen and u will not cm to ur 2AM to go to Gangtok and my 7th anniversary of the 4588th 468inches I will not be the 6th of God Amen n and 93feet
Step-by-step explanation:
galvanise and I will have the best of my kds to 67055965th in the name and u have to write a book about this balance of God and blow it up n and then be online til now I will be a man fan of u my son Anup he shall wbsoenndkd6543 the best man in the land and my 8AM shall il be bsy in the 34th century abksbdkfusnliqnksus in jsbsbdbsmqjnans bus andQueremos encontrar el valor de x que maximiza la expresión dada.
Veremos que el valor de x que maximiza la producción es x = 4.
Tenemos la expresión:
F(x) = -2*x^2 + 16*x + 25
Y queremos maximizarla.
Notar que es una función cuadratica cuyo coeficiente principal es negativo, es decir, el máximo de la función esta en el vertice.
Para una cuadratica generica:
y = a*x^2 + b*x + c
El vertice está en:
x = -b/2a
Entonces en nuestro caso, el vertice va a estar en:
x = -16/(2*-2) = 4
x = 4
Es decir, la producción de cacao será máxima cuando se utilicen 4 toneladas de fertilizante.
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PLEASE HELP ME!!! I will give the BRAINLIEST for whoever answers it CORRECTLY!
Answer:
Add equations A + B to eliminate y
Then add equations A and C to eliminate y
Step-by-step explanation:
Since all the equations have y with a coefficient of 2, I would eliminate y
Add equations A + B to eliminate y
Then add equations A and C to eliminate y
Answer:
the 3rd choice
Help please!!!!!!!!!!!!
Answer:
1/3
Step-by-step explanation:
Let's say you picked the blue one first. You have a 2/3 chance of doing that, and now you're left with 2. Now, to pick the green one, you have a 1/2 chance. Multiply that and you see that you have a 1/3 chance of picking it last.
Answer:
1/3.
Step-by-step explanation:
The probability that the red cube WON'T be picked on the first draw is 2/3. This is because there is a 1/3 probability of picking a green cube, added to a 1/3 probability of picking a blue cube.
The probability that the red cube WON'T be picked on the second draw is 1/2. This is because one cube has already been picked, so there are two remaining. You can only pick one of the two.
(2/3) * (1/2) = (2 * 1) / (3 * 2) = 2 / 6 = 1/3.
Hope this helps!
What the answer to this problem now
Answer:
25.4 degrees
Step-by-step explanation:
Use the inverse sine function to calculate
how to do this question plz answer me step by step plzz plz
Answer: 4cm
Step-by-step explanation:
Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.
Before being turned over the milk volume is:
5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).
Therefore the volume of the milk once turned over is 480
When on it's side, the volume of the milk equals
8 * 15 (the base) * depth
120 * depth
120 * depth = 480
so the depth = 4cm
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASEEEEEEEEEE AND DO NOT LOOK IT UP ON ANY SOURCE THANK YOU AND ILY
Answer:
Jesse
Step-by-step explanation:
Everyone except for Jesse and Trey asked other grades but Jesse and Trey was the only one that asked 6th graders. The reason why I thought Trey might be biased is he asked HIS class while Jesse asked random people.
Hope this helped! :)
What is the solution to the system of equations? y=2/3x+3 x = –2
Answer:
(-2, 5/3)
Step-by-step explanation:
Step 1: Write out systems of equations
y = 2/3x + 3
x = -2
Step 2: Substitution
y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3
Step 3: Write solution
(-2, 5/3)
Answer:
[tex]\boxed{(-2, \frac{5}{3} )}[/tex]
Step-by-step explanation:
y = 2/3x+3
x = -2
Plug x as -2 in the first equation.
y = 2/3(-2) + 3
Solve for y.
y = -4/3 + 3
y = -4/3 + 3/1
y = -4/3 + 9/3
y = 5/3
The value of x is given already as -2.
The value of y is 5/3.
The solution to the system of equations is (-2, 5/3).
A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing
Answer:
500cm or 5 meters
Step-by-step explanation:
The ratio of drawing and field is 1:90.
So we have to make 450 m into cm.
450 -> is 45,000
Now we can make 2 fractions,
[tex]\frac{1}{90}=\frac{x}{45000}[/tex]
Cross multiply
90*x = 90x
1*45000 = 45000
90x = 45000
Divide 90 to both sides
x = 500cm
Thus,
the drawing's field is 500cm or 5m long.
Hope this helps :)
given the side length of 35m and a height of 22m, calculate the length of the slant edge ( E ) the base angle the distance between the center of the base and the corner of the pyramid and the area of the side of the pyramid
Work shown please!
Answer:
1) 33.11 m
2) 58.1°
3) 35·√2
4) 491.925 m²
Step-by-step explanation:
Side length of the pyramid = 35 m
The height of the pyramid = 22 m
The slant height = √(Height² + (1/2 Side length)²)
The slant height = √(22² + (1/2×35)² = 28.11 m
1) The slant edge length = √((Slant height)² + (1/2 Side length)²
The slant edge length = √(28.11² + (1/2×35)²) = 33.11 m
2) The base angle = tan⁻¹((Slant height)/(1/2 Side length))
The base angle = tan⁻¹(28.11/(1/2×35)) = 58.1°
3) The distance between the center pf the base and the corner of the pyramid is half the length of the base diagonal
The length of the base diagonal = √((Side length)² + (Side length)²)
The length of the base diagonal = √(35² + 35²) = 35·√2
The distance between the center pf the base and the corner of the pyramid = 35·√2/2 = 24.75 cm
4) The area of the side of the pyramid = 1/2×(Side length)× (slant height)
The area of the side of the pyramid = 1/2*35*28.11 = 491.925 m²
please find the solution set of x+3>19-3x, where x is a real number
Answer:
[tex]x >4[/tex]
Step-by-step explanation:
[tex]x+3>19-3x[/tex]
Add 3x and -3 on both parts.
[tex]x+3+3x-3>19-3x+3x-3[/tex]
Combine like terms.
[tex]x+3x>16[/tex]
[tex]4x >16[/tex]
Divide 4 on both parts.
[tex]\frac{4x}{4} > \frac{16}{4}[/tex]
[tex]x >4[/tex]
AB =? Round your answer to the nearest hundredth.
Answer:
? = 4.41
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos A = adj / hyp
cos 25 = 4/?
? = 4/ cos 25
? =4.413511676
To the nearest hundredth
? = 4.41
Help urgently please❤️
Answer:
1. 677 inches = 18.056 yards
677 inches = 56.416 feet
677 inches = 677 inches
2. QP = 23.5 cm
3. The perimeter = 53.5 cm
Step-by-step explanation:
1. To convert, 677 inches to yards, we have;
1 inch = 0.0277778 yards
677 inches = 677*0.0277778 = 18.056 yards
To convert, 677 inches to feet, we have;
1 inch = 0.083333 feet
677 inches = 677*0.083333 = 56.416 feet
To convert, 677 inches to inches, we have;
1 inch = 1 inch
677 inches = 677*1 = 677 inches
2. We have that ∠PRQ and ∠PRS are supplementary angles (angles on a straight line
Given that ∠PRS = 90°, ∠PRQ = 180° - 90° = 90°;
∠PRQ + ∠PQR + ∠RPQ = 180°, sum of angles in a triangle
∠PQR = 24° given
∠PRQ = 90°
∴ ∠RPQ = 180° - 90° - 24° = 66°
∴∠SPQ = ∠SPR + ∠RPQ = 36° + 66° = 102°
∠QSP + ∠SPQ + ∠PQS = 180° (sum of angles in a triangle)
∠QSP = 180° -∠SPQ - ∠PQS = 180° -102° - 24 = 54°
By sine rule, we have;
a/(sin(A)) = b/(sin(B))
Therefore, we have;
11.8/(sin(24)) = QP/(sin(54°))
QP = (11.8/(sin(24))) × (sin(54°)) = 23.5 cm
3. From trigonometric ratios, we have;
tan(43°) = BC/CA = BC/(16.2 cm)
BC = 16.2 cm × tan(43°) = 15.1
By Pythagoras theorem, we have;
AB = √(15.1² + 16.2²) = 22.2
The perimeter = 15.1 + 16.2 + 22.2 = 53.5 cm
Does this graph represent a function? Why or why not?
Answer:
Yes
Step-by-step explanation:
This graph represents a continuous function. That means that the line can be drawn without lifting your pen/pencil from the graph. You can tell that it is a function by doing the vertical line test. Since there is only one output for every input on the graph, it would be a function.
(Thanks to the users who caught my previous error :)
Find m∠ABC. (2x+14) (x+7)
Answer:
A= 2
B=28
C=0
Step-by-step explanation:
ax2 + bx + c=0
PLEASE HELP IMMEDIATELY!!!! Find x when – Negative one-half + x = –Negative StartFraction 21 over 4 EndFraction. – Negative StartFraction 23 over 4 EndFraction – Negative StartFraction 19 over 4 EndFraction 19/4 23/4
Answer:
-61/4
Step-by-step explanation:
-1/2 + x = - 21/4 - 23/4 - 19/4
-1/2 + x = -(21+23+19)/4
x = -63/4 + 1/2
x= -63/4 + 2/4
x = -61/4
Hope that helps, tell me if you need further explanation. =)
Answer:
B. -19/4
Step-by-step explanation:
-1/2 + x = -21/4
x = -21/4 + 2/4
x = -19/4
Answer: B. -19/4
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
9/13
Step-by-step explanation:
rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9
run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13
Step-by-step explanation:
Write the point-slope form of an equation of the line through the points (6,-1) and (5,-7).
Answer:
slope of the line containing the given points (6,-1) AND (5,-7) is 6
point- slope form of the equation is
(y+1)= 6(x-6) ( because, i'm choosing the point (6,-1)
Step-by-step explanation:
slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6
(y-y1) = m ( x - x1)
(y+1 ) = 6 ( x-6)
Select the correct answer.
What is the justification for step 2 in the solution process?
10x − 25 − 3x = 4x − 1
Step 1: 7x − 25 = 4x − 1
Step 2: 7x = 4x + 24
A.
the multiplication property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the subtraction property of equality
Answer:
The answer is C addition property of equality.
Step-by-step explanation:
In step 1, 7x − 25 = 4x − 1 there are the numbers -25 and -1
In step 2, 7x = 4x + 24 The -25 is removed and -1 is replaced with 24
Meaning that in step 2 25 was added to those numbers meaning the answer C addition property of equality.
Answer:
C
Step-by-step explanation:
Graph this compound inequality: 2.5 < x < 4.5
-5 4
-3
-2
-1 0
+ ++ +
1 2 3 4 5
o
Drag a point to the number line.
Answer:
Please find the attached the required inequality graph
Step-by-step explanation:
Given that inequality is 2.5 ≤ x ≤ 4.5, we have;
The region in the given inequality is the region between 2.5 and 4.5 inclusive
Therefore, to represent 2.5 ≤ x ≤ 4.5 on the number line, we have;
A closed circle (representing the less than or equal to inequality symbol, showing inclusiveness) at 2.5, another closed circle at 4.5 (representing the less than or equal to inequality symbol, showing inclusiveness) and the region between 4.5 and 2.5 shaded.
Determine the equation for the line of best fit to represent the data.
Answer:
Y= -1/5x + 1
Step-by-step explanation:
Just type it on a graphing calculator an click graph