The required scale factor that Amir will use to go from Polygon F to G is 1/9.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
Area of polygon F = 36 square units
Area of polygon G = 4 square units
Now,
The scale factor to go from polygon F to polygon G is given as,
SF = Area of polygon G / Area of polygon F
SF= 4/36
SF = 1/9
Thus, the required scale factor that Amir will use to go from F to G is 1/9.
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Solve for the indicated values.
For both
Answer:
CH = 22°
Step-by-step explanation:
We know that Arc AC and Arc CH both equal to 180°, therefore we can say;
AC + CH = 180°
158 + CH = 180°
CH = 180 - 158
CH = 22°
Hope this helps!
Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.
Given:
A figure of a robotics project.
To find:
The volume of the finished object assuming it is empty inside.
Solution:
The given figure contains a triangular prism and a cuboid.
The dimensions of the cuboid are 6 cm, 8 cm and 5 cm. So, the volume of the cuboid is:
[tex]V_1=length\times width\times height[/tex]
[tex]V_1=6\times 8\times 5[/tex]
[tex]V_1=240[/tex]
So, the volume of the cuboid is 240 cubic cm.
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of the base of the triangular prism whose base is 8 cm and height 4 cm, is:
[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]
[tex]B=16[/tex]
The volume of a triangular prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:
[tex]V_2=16(5)[/tex]
[tex]V_2=80[/tex]
Now, the volume of the given figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=240+80[/tex]
[tex]V=320[/tex]
Therefore, the volume of the finished object is 320 cubic cm.
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 10 feet. Container B has a radius of 5 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Containter B is completely full.
To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?
Answer:
61.74%
Step-by-step explanation
Find the vol of container one: Volume = Pi(r^2)(height) = 3.14159*81*10 = 2544.69 cu.ft.
Find the vol of container two: Pi(r^2)(height) = 1570.79 cu.ft.
Now the % of container A that is empty is
(1 - ((Volume A - Volume B)/Volume A))*100% = 61.73%
Please Help!! Offering 8 points to each answerer and a Brainliest! Please answer the following parts of this question.
(02.05 HC)
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
Part A: Two types of transformations: translation and reflection.
Part B: g(x)=f(x)+k
-1= -1+ k
k= -1+1=0
g(x)=f(x)+k
-1= 5+k
k= -1-5=-6
g(x)=f(x)+k
14= 14+k
k= 0
k= -6,0,-6,0
Part C: For horizontal translation, g(x)=f(x+2)
In case of vertical translation, g(x)=f(x)+10
Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.
Step-by-step explanation:
I thought. :') Ever since yesterday, and today. Hope this helps!
10. Express the following as a single fraction.
x-1 +x+2 + x
2
5
4
Answer:
x+x+x=3x
2-1=1
3x+1
this is ansver
If AT = 12 and KN = 18, find OB.
Answer:
15
Step-by-step explanation:
There is a formula for this it is,
B1+B2/2
B1= Base one or TA in this case
B2= Base two or NK in this case
You replace the values with the variable:
B1=12
B2=18
12+18/2 = 30/2= 15
OB=15
The midsegment of the trapezium OB is 15
Mid segment of a trapezium:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.
OB = mid segment
Therefore, mathematically,
OB = 1 / 2 (AT + KN)
where
AT = 12
KN = 18
Therefore,
OB = 1 / 2(12 + 18)
OB = 30 / 2
OB = 15
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PLEASE HELP. Simplify the expression
-4x - 2 + 3x - 4
Answer:
-x-6
Step-by-step explanation:
-4x - 2 + 3x - 4
Combine -4x and 3x -x - 2 - 4
Combine -2 and -4 -x - 6
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{-4x - 2 + 3x - 4}[/tex]
[tex]\underline{\underline{\huge\text{COMBINE the LIKE TERMS }}}[/tex]
[tex]\huge\text{= (-4x + 3x) + (-2 - 4)}[/tex]
[tex]\huge\text{-4x + 3x = \bf -1x}[/tex]
[tex]\huge\text{-2 - 4 = \bf -6}[/tex]
[tex]\huge\text{= \underline{\bf -1x - 6 }\huge\text{\textsf{\underline{\underline{\underline{or}}}}\underline{ \bf -x - 6 }}}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: \boxed{\bf -1x - 6} (also known as \boxed{\bf -x - 6})}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]{\huge\text{\frak{Amphitrite1040:)}}}[/tex]
What is Y + 4 = 3x + (-5) as a y = mx + b equation??
A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.
Will give brainliest. Please Help
Answer:
Speed of car in miles per minute = 0.8 miles per minute
Distance cover by car in 20 minutes = 16 miles
Step-by-step explanation:
Given:
Speed of car = 48 miles per hour
Time taken by car = 20 minutes
Find:
Speed of car in miles per minute
Distance cover by car in 20 minutes
Computation:
Speed of car = 48 miles per hour
1 hour = 60 minutes
So,
Speed of car = 48/60 miles per minute
Speed of car in miles per minute = 0.8 miles per minute
Distance cover by car in 20 minutes = 20 x Speed of car in miles per minute
Distance cover by car in 20 minutes = 20 x 0.8
Distance cover by car in 20 minutes = 16 miles
if 12 men complete a piece of work in 10 days in how many days would 15 men complete the same work
Step-by-step explanation:
number of men =12
time taken = 10 days
time taken to complete the work by 15 men = 12÷10=1.2
= 1.2 ×15 = 18
therefore, 18 days is taken to complete the work by 15 men
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
3(x+5)x(x-6)
Just fyi download photo math and it literally answers the question for you so you dont waste any more points
Step-by-step explanation:
I need help please please pleade
Answer:
B
Step-by-step explanation:
Answer:
the answer is B most likely
Which equation could be used to find the length of the missing side of
the right triangle?
22 cm
7 cm
bcm
Step-by-step explanation:
use Pythagoras theorem
[tex]b = \sqrt{h ^{2} - p ^{2} } [/tex]
The game has 12 three-minute rounds. If the players stop after two minutes of the twelfth round, for how many minutes did they play?
How do you solve 9x 7 =- 7?
The value of x is 0
Now, According to the question:
Let's know:
How to find the value of 'x'
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
The given equation is:
9x - 7 = -7
To solve the value of 'x'
9x - 7 = -7
Add 7 on both sides:
9x - 7 + 7 = -7 + 7
9x = 0
x = 0/9
x = 0
Hence, The value of x = 0
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The complete question is this:
How do you solve 9x - 7 = -7
What is median?
the sum of values in a set of data multiplied by the number of values in the set
the sum of values in a set of data divided by the number of values in the set
the middle value in a data set when the values are put in order
the value that occurs most often in a data set
the middle value in a data set when the values are put in order
For example, the set {3,1,2} sorts to {1,2,3} where the median is 2.
Another example: The set {1,2,3,4} has 2 and 3 tied for the middle most position. The midpoint is (2+3)/2 = 5/2 = 2.5 which is the median.
Find the area of triangle XYZ
Answer:
[tex] \displaystyle A _{XYZ - \text{triangle}} = 24 {cm}^{2} [/tex]
Step-by-step explanation:
we have two right angle triangles
we want to figure out the area of XYZ triangle
we are given the base not the altitude (height) so we need to figure the height of XYZ to figure out the area of XYZ
in that case we can use Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
given that, c=5 and b=3 thus
substitute:
[tex] \displaystyle {3}^{2} + {a}^{2} = {5}^{2} [/tex]
simplify squares:
[tex] \displaystyle 9 + {a}^{2} = 25[/tex]
cancel 9 from both sides:
[tex] \displaystyle {a}^{2} = 16[/tex]
square root both sides:
[tex] \displaystyle {a}^{} = 4[/tex]
we have figured out the height of XYZ triangle
remember that,
[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} bh[/tex]
we have h=4 and b=9+3=12
substitute:
[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} \times 12\times 4[/tex]
reduce fraction:
[tex] \displaystyle A _{ \text{triangle}} = 12\times 2[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{triangle}} = 24[/tex]
hence,
the area of triangle XYZ is 24 cm²
QUESTION 1 OF 10
If √62-9 =z, what is the value of ?
The required value of z is "i√6" to the given expression√(6/2 - 9) = z.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.
The expression is given in the question, as follows:
√(6/2 - 9) = z
We have to determine the value of z to the given expression.
As per the question, we have
⇒ √(6/2 - 9) = z
⇒ √(3 - 9) = z
⇒ √(- 6) = z
⇒ √(6 × -1 ) = z
⇒ (√6 × √-1 ) = z [∵ imaginary number i = √-1 ]
⇒ (√6 × i ) = z
⇒ z = i√6
Therefore, the required value of z is "i√6" to the given expression.
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HELP DUE IN 15 MINS!
Find the length of the diagonal of the square and the variables. You can round to the nearest tenth.
diagonal =??
x =?? degrees
° y =?? degrees
Answer:
Diagonal ⇒ d = 6√2 = 8.5 iny = 90° (diagonals are perpendicular)x = 45° (isosceles right triangle)Which segment(s) are perpendicular to overline AB ? B A. Segment CE only B. Segment CD and segment CE C. Segments CD , CE , and CF
Answer:
A letter A
Step-by-step explanation:
Segment CE only
mypoints!
The perpendicular line AB is segment CE only. The correct option is A.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. If two lines cross at a right angle, they are said to be perpendicular to one another.
The line CE is making an angle of 90 degrees with the line AB, then the line CE will be perpendicular to the line AB.
Therefore, the perpendicular line AB is segment CE only. The correct option is A.
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Which is the best estimate for the average rate of change for the quadratic function graph on the interval 1 ≤ x ≤ 3?
Answer:
I think it's either 1/2 or 1/3.
Eating at the all-you-can-eat buffet at your favorite restaurant currently costs $18.50, and increases in cost by 6% each year.
1. Write a function that correctly depicts this scenario.
2. How much will this buffet cost 10 years from now? Round your answer to the nearest cent.
3. How much did this buffet cost 15 years ago? Round your answer to the nearest cent.
The function of the scenario is f(x) = 18.5(1.06)^x
The cost 10 years from now is $33.13The cost 15 years ago is $7.72How to determine the function of the scenarioFrom the question, we have the following parameters that can be used in our computation:
Initial value = $18.50
Rate = 6%
The function of the scenario is then represented as
f(x) = Initial value * (1 + rate)^x
Substitute the known values in the above equation, so, we have the following representation
f(x) = 18.5(1 + 6%)^x
Evaluate
f(x) = 18.5(1.06)^x
How much will this buffet cost 10 years from nowThis means that
x = 10
So, we have
f(10) = 18.5(1.06)^10
Evaluate
f(10) = 33.13
How much did this buffet cost 15 years ago?This means that
x = -15
So, we have
f(-15) = 18.5(1.06)^(-15)
Evaluate
f(-15) = 7.72
Hence, the price is $7.72
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What is the relationship between xzw and wzv on a vertical angle?
The relationship between xzw and wzv on the vertical angle is as follows:
∠ xzw + ∠ wzv = 180
How to find the relationship between angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.
Therefore,
∠vzy ≅ ∠wzx(vertical angles)
Hence, the relationships between angles xzw and wzv is as follows:
∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)
3x + 17 + x - 9 = 180
4x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 / 4
x = 43
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1/5t + 2 - 2 = 17 - 2
Answer:
[tex]t=75[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{5} t+2-2=17-2[/tex]
Lets solve for [tex]t[/tex].
Subtract 2 from 2.
[tex]\frac{1}{5} t=17-2[/tex]
Subtract 2 from 17.
[tex]\frac{1}{5} t=15[/tex]
Combine [tex]\frac{1}{5}[/tex] and [tex]t[/tex].
[tex]\frac{t}{5} =15[/tex]
Multiply both sides of the equation by 5.
[tex]\frac{t}{5}*5 =15*5[/tex]
[tex]t=75[/tex]
find value of m
[tex] {m}^{2} + 35 = 240 \div (12 \div 3)[/tex]
Answer:
5 ( or ) - 5
Step-by-step explanation:
12/3 = 4
240/4 = 60
m² + 35 = 60
m² = 60 - 35
m² = 25
m = - 5 ( or ) 5
Because,
( - 5 )² = - 5 * - 5 = 25
5² = 5 * 5 = 25
help me pleaseeeeeeeee!!
Answer:
2nd
Step-by-step explanation:
Answer: They are not proportional.
Step-by-step explanation: The numerator is multiplied my 0.5 but the denominator is not.
15 points !!!!! Given: x - y = 11.
If x = -17, what is y?
Please put your answer in the format “y=____”
Answer:
y=-28
Step-by-step explanation:
-17-y=11
-y=11+17
-y=28
y=-28
50% of 188 is equal to what number?
Answer:
Step-by-step explanation:
a.50%=[tex]\frac{1}{2}[/tex]
b.so 50% of 188 means 188·[tex]\frac{1}{2}[/tex]=94
answer is 94
In describing the cost equation, Y = a + bX, "a" is:
- A) The dependent variable cost.
- B) The independent variable the level of activity.
- C) The total fixed cost.
- D) The variable cost per unit of activity.
Answer:
C) The total fixed cost.
Can somebody help please .
Answer:
easy just think thoroughly
Step-by-step explanation:
1 is A
2 is C
3 is B
4 is D