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# Math Assignment General Directions Do your best to try all questions assigned to you. Show all your work and make sure you include units in your final answer. Hints For Law of Sines and Law of...

Math Assignment
General Directions
Do your best to try all questions assigned to you.
Hints
For Law of Sines and Law of Cosines, solving the triangle means that you will need to figure out all the side lengths and all interior angles of your triangle.
For Linear Programming, you have to provide answers from a to g.
For Applications of Quadratic Functions, pay attention to the negative signs.
Inductive Reasoning
Find the next item in each pattern.
1. 2, -4, 8, -16, 32
Counterexample ( Find a counterexample)
1. If you were born in New York, then you live in New York.
Angle pair relationship (Find the measure of each angle indicated)
1)
Exterior Angle Theorem (Find the measure of each angle indicated)

1)
Law of sines (Solve each triangle. Round your answers to the nearest tenth)
1)
Law of Cosines (Solve each triangle. Round your answers to the nearest tenth)
1)

Frequency Tables (Create a frequency table for each data set)
1) # Words in book Titles
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
Linear Inequalities
Determine if the point (1, 5) is part of the solution in each linear inequality.
1) 2x â€“ 3 y - 6 XXXXXXXXXX2) Ñ…+Ñƒ<â€”Ð—
Histograms (Draw a histogram for each data set)
Single Family Home Prices
492,600    499,100    484,500    482,800
463,700    484,300    473,900    463,600
478,000    490,700    481,900    496,000
462,200    490,400    470,500    470,900
Linear Programming
For each question below, do the following:
a. Identify the two variables
. Identify the resfrictions on the variables
c. Write a system of inequalities that describes the cons&aints
d. Write an objective function that shows how the variables are related to the quantity to be optimized
e. Graph the system of inequalities and determine the coordinates of the vertices of its feasible region
f. Evaluate the objective finction by substituting the values of the coordinates of each vertex
g. Choose the desired solution
1) You are a civil engineer designing a
idge. The walkway needs to be made of wooden planks. You are able to use either Sitka spruce planks (which weigh 3 pounds each), basswood planks (which weigh 4 pounds each), or a combination of both. The total weight of the planks must be between 600 and 900 pounds in order to meet safety code. If Sitka spruce planks cost \$3.25 each and basswood planks cost \$3.75 each, how many of each plank should you use to minimize cost while still meeting building code?
Quadratic Functions (Graphing in Standard Form)
Sketch the graph of each function. After graphing, determine the x-intercept/s, y-intercept, domain, range, axis of symmetry, and the vertex.
1) y = x2 â€” 2x â€” 1 XXXXXXXXXX2) y=x2 + 2x â€“ 3
Solve the following problems.
1. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h, after t seconds is given by the equation h(t) = -16t2 + 128t (air resistance is neglected). How long did it take for the rocket to reach the ground?
Scale Factors: Surface Area
Some information about the surface area and volume of two similar solids has been given. Find the missing value.
1) Solid #1 XXXXXXXXXXSolid #2
XXXXXXXXXXSA= 325 m2 XXXXXXXXXXSA=?
XXXXXXXXXXV= 1000m3 XXXXXXXXXXV= 4096m3
Scale Factors: Volume
Some information about the surface area and volume of two similar solids has been given. Find the missing value
1) Solid #1 XXXXXXXXXXSolid #2
SA=162km2 XXXXXXXXXXSA= 1km2
V = 540km XXXXXXXXXXV= ?

Math Assignment
General Directions
Do your best to try all questions assigned to you.
Hints
For Law of Sines and Law of Cosines, solving the triangle means that you will need to figure out all the side lengths and all interior angles of your triangle.
For Linear Programming, you have to provide answers from a to g.
For Applications of Quadratic Functions, pay attention to the negative signs.
Inductive Reasoning
Find the next item in each pattern.
1. 2, -4, 8, -16, 32
Counterexample ( Find a counterexample)
1. If you were born in New York, then you live in New York.
Angle pair relationship (Find the measure of each angle indicated)
1)
Exterior Angle Theorem (Find the measure of each angle indicated)

1)
Law of sines (Solve each triangle. Round your answers to the nearest tenth)
1)
Law of Cosines (Solve each triangle. Round your answers to the nearest tenth)
1)

Frequency Tables (Create a frequency table for each data set)
1) # Words in book Titles
XXXXXXXXXX XXXXXXXXXX
XXXXXXXXXX XXXXXXXXXX
Linear Inequalities
Determine if the point (1, 5) is part of the solution in each linear inequality.
1) 2x â€“ 3 y - 6 XXXXXXXXXX2) Ñ…+Ñƒ<â€”Ð—
Histograms (Draw a histogram for each data set)
Single Family Home Prices
492,600    499,100    484,500    482,800
463,700    484,300    473,900    463,600
478,000    490,700    481,900    496,000
462,200    490,400    470,500    470,900
Linear Programming
For each question below, do the following:
a. Identify the two variables
. Identify the resfrictions on the variables
c. Write a system of inequalities that describes the cons&aints
d. Write an objective function that shows how the variables are related to the quantity to be optimized
e. Graph the system of inequalities and determine the coordinates of the vertices of its feasible region
f. Evaluate the objective finction by substituting the values of the coordinates of each vertex
g. Choose the desired solution
1) You are a civil engineer designing a
idge. The walkway needs to be made of wooden planks. You are able to use either Sitka spruce planks (which weigh 3 pounds each), basswood planks (which weigh 4 pounds each), or a combination of both. The total weight of the planks must be between 600 and 900 pounds in order to meet safety code. If Sitka spruce planks cost \$3.25 each and basswood planks cost \$3.75 each, how many of each plank should you use to minimize cost while still meeting building code?
Quadratic Functions (Graphing in Standard Form)
Sketch the graph of each function. After graphing, determine the x-intercept/s, y-intercept, domain, range, axis of symmetry, and the vertex.
1) y = x2 â€” 2x â€” 1
Solve the following problems.
1. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h, after t seconds is given by the equation h(t) = -16t2 + 128t (air resistance is neglected). How long did it take for the rocket to reach the ground?
Answered Same Day Jun 14, 2021

## Solution

Intakhab answered on Jun 14 2021
Math Assignment
General Directions
Do your best to try all questions assigned to you.
Hints
For Law of Sines and Law of Cosines, solving the triangle means that you will need to figure out all the side lengths and all interior angles of your triangle.
For Linear Programming, you have to provide answers from a to g.
For Applications of Quadratic Functions, pay attention to the negative signs.
Inductive Reasoning
Find the next item in each pattern.
1. 2, -4, 8, -16, 32
Solution
Here each number is multiplied with -2
Hence the next item is -64
Counterexample ( Find a counterexample)
1. If you were born in New York, then you live in New York.
Counter example:
If I might be moved somewhere else.
Angle pair relationship (Find the measure of each angle indicated)
1.
Solution let the opposite angle of 49 be x
Hence x=49Â° {Vertically opposite angles are equal)
?=x {Co
esponding angles are equal}
?=49Â°
Solution:
?=180Â°-87Â° {Supplementary angles}
?=93Â° degree

Exterior Angle Theorem (Find the measure of each angle indicated)

1)

Let ? be x.
Therefore now
X=103Â° -17Â° {Sum of interior oppsite angle is equal to exterior angles}
Now,
X = 86 Â° .
Law of sines (Solve each triangle. Round your answers to the nearest tenth)
1)
We know that the sine law states that,
=29.604
29.604=
=28.957
Î±+Î²+Î³=180
Î³=180Â° -48Â° -78Â°
Î³=54Â°
C=29.604*sin54
=23.95
Hence the ZY is 28.957
XZ is 23.95
Angle Y is 54 Â°
Law of Cosines (Solve each triangle. Round your answers to the nearest tenth)
1) Applying cosine formula we get,
=400+81-2*20*9
=424.684
Hence SR=
SR=20.61 yd
=+-2*SR*RT
=(400-81-424.684)/(-2*20.61*9)
=-0.285
Hence R=73.45Â°
=180Â°
S=180Â°-81Â°-73.45Â°
=25.55
Frequency Tables (Create a frequency table for each data set)
1) # Words in book Titles
2 3 4 5 2 1 2 2
2 2 2 3 2 3 2
FREQUENCY TABLE:
Words in book titles
Frequency
1
1
2
9
3
3
4
1
5
1
Linear...
SOLUTION.PDF