Answers
Answer:
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]
[tex]E \approx 34.093^{\circ}[/tex]
Angle F
[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]
[tex]F \approx 106.068^{\circ}[/tex]
Angle G
[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]
[tex]G \approx 39.838^{\circ}[/tex]
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Related Questions
ILL MARK BRAINLIEST PLEASE HELP!!!
What is the solution to the equation
х
6
12
O x= 1
O x= 2
O x=8
O x= 4
Answers
Answer:
B is your answer
Step-by-step explanation:
Hope it is right.
You can buy 5 small pizzas for the same price as 3 small pizzas and 10 one dollar drinks.How much does each pizza cost?
Answers
Answer:
★ The answer is $5
Step-by-step explanation:
Hope you have a great day
You owe $1,350.00 on a credit card with a 14.25% APR. You pay $300.00 at the beginning of
the month How much interest do you save by paying at the beginning of the month versus
at the end of the month?
Answers
3.2 ft 2 fti2 ft 4 ft ft2 plz help
Answers
what's the question?
Answer:
Step-by-step explanation:
There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?
Answers
Answer:
2/51
Step-by-step explanation:
# of brown socks = 4
# of blue socks = 14
total # of socks = 18
The probability of pulling 1 brown sock = 4/18
If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks
So after the first pull ( if it were to be a brown sock )
there would only be 3 brown socks and 17 total socks
So the probability of pulling a brown sock then would be 3/17
Finally we multiply the two probabilities to get the answer
4/18 * 3/17 = 2/51
Hence, the answer is 2/51
any tips on how to do this?? i have no clue how
Answers
Answer:
6.7
Step-by-step explanation:
For this questions we have the oppsotie side and need the adjacent
out of SOH, CAH, TOA we will sue TOA
tan(56)=10/x
tan(56)/10=1/x
10/tan(56)=x
x=6.745 which rounds to 6.7
PLEASE HELP!! Which of the following numbers is irrational?
Answers
An interior designer made a scale model of a room. Each 1 inch in the model represented 12 feet in the actual 1 room. If the length of a hall was 2 inches in the model, what was the actual length of the hall?
Answers
Answer:
Step-by-step explanation:
Jxjcjja
In a free enterprise economy, who controls society and resources?
Answers
Answer:
Free enterprise, also known as free market or capitalism, is an economic system driven by supply and demand. Private businesses and consumers control the marketplace with little to no interference from the government. In this type of system, the government does not have a central plan for the nation's economy.
Step-by-step explanation:
TRUE OR FALSE?
All square roots can be simplified to a decimal answer and still be equivalent.
Answers
THE ANSWER IS TRUE :P
Step-by-step explanation:
All the square roots can be simplified to a decimal answer and still be equivalent.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
For example, square root of 16 is 4 since 4 × 4 = 16
We know that every number has a square root.
All the numbers does not have a perfect square root.
The perfect square roots does exists for numbers 1, 4, 9, 16, 25, .......
All the other numbers in between has the square roots which are decimal numbers.
Hence, all square roots can be simplified to a decimal answer and still be equivalent.
Learn more about Square Roots here :
https://brainly.com/question/29286039
#SPJ3
A(n) _______ is a mapping that does not change the size of the original figure.
A. Isometry
B. Mapping
C. Image
D. Preimage
Answers
Answer:
A(n) isometry is a mapping that does not change the size of the original figure.
Answer:
Isometry
Step-by-step explanation:
Isometry is a mapping that does not change the size of the original figure.
What are factors of 72 that add to be -18?
Answers
Answer:
-12 and -6
Step-by-step explanation:
Two actors were rated by 11 casting directors on their audition performance.
Joey was given the list of his 11 scores:
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100
Drake was given his scores in the form of a box plot:
[picture above]
1. Which actor had better overall scores on their audition performance?
2. Which actor had greater variability in their scores?
Answers
Answer:
I belive drake had a better score and variblity.
Step-by-step explanation:
I have no clue what its asking me to do or what to do so do it for me please
Answers
Answer:
i cant see the question :(
Step-by-step explanation:
What is the circumference of the table top? Write your answer using
Show your work.
Answers
Answer
the diameter is 44
Step-by-step explanation:
the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.
The diameter of a circle is 20 m. Find its area in terms of π
Answers
Answer:
100π m^2
Step-by-step explanation:
Given data
Diameter= 20m
Radius= 10m
The expression for the area is
Area= πr^2
Area= π*10^2
Area= π*100
Area= 100π m^2
Hence the area is 100π m^2
A(4,10) and B (6,12)
(1) Find the distance between A and B
Answers
Answer:
2.8284
Step-by-step explanation:
Input Data :
Point 1(xA,yA)(xA,yA) = (4, 10)
Point 2(xB,yB)(xB,yB) = (6, 12)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(6−4)2+(12−10)2(6-4)2+(12-10)2
= √22+2222+22
= √4+44+4
= √88 = 2.8284
Distance between points (4, 10) and (6, 12) is 2.8284
2. What will be the circumference of a circular table having diameter x
meter? Find it.
Answers
Answer:
im just doingthis for points
Step-by-step explanation:
The electrical resistance of a wire is directly proportional to its length.
A wire of length 10 feet has a resistance of 2 ohms.
ment
Part A
What is the resistance of a wire if its length is 25 feet?
20 ohms
6 ohms
50 ohms
5 ohms
10 ohms
ig
Part B
What is the length of a wire if its resistance is 8 ohms?
A
48 ft
4 ft
1.6 ft
32 ft
40 ft
Answers
Answer:
https://www.arlingtonschools.org/cms/lib/NY02215626/Centricity/Domain/5167/Skill39AK.pdf
Step-by-step explanation:
Plz help me i suck at this ;-;
Answers
Answer:
The answer is obtuse
Step-by-step explanation:
because a triangle cannot be a right or parallel or a Isosceles.
Hope this helps!:)
Answer:
The correct answer is: Isosceles.
Step-by-step explanation:
First let’s take a look at ‘Right’. Right, is determining the angle, not the side length.
’Obtuse’. Obtuse is also determinin the angle, therefore it cannot be the correct answer.
’Parallel’. It is impossible for a triangle to be parallel, meaning that there are two opposite sides, incapable of touching each other.
’Isosceles‘ for a triangle to be isosceles, it needs two sides made of equal length. This description connects with the question being asked, therefore ‘Isosceles‘ is the correct answer.
Classify this triangle by its sides.
Answers
Step-by-step explanation:
The answer is scalene triangle
Answer:
scalene
Step-by-step explanation:
all the sides of a scalene triangle have different lengths, as shown in the picture :)
Innovative School System
Madison randomly surveyed 50 students at her high school about their favorite color, and 18 students chose blue. Madison concluded that
blue was the favorite color of 720 students in her entire high school of 2000 students.
Choose all of the statements that accurately describe the sample and population from Madison's survey.
O A. The sample of 50 students comes from the population of 2000 students.
B. The sample value of 18 is an estimate of students from the survey whose favorite color is blue.
c. The sample value of 18 is the exact number of students from the survey whose favorite color is blue.
UD. The population value of 720 is an estimate of students in the entire school whose favorite color is blue.
E. The population value of 720 is the exact number of students in the entire school whose favorite color is blue.
Answers
Answer:
is not , something other than red, 45%, 55%
Step-by-step explanation:
In a quiz, you receive 7 points for a correct answer and –4 points for an incorrect answer.You receive 0 points if you do not answer the question.There are 20 questions in total.Is it possible to get a score of –11 in this quiz?
Answers
Answer:
Yes it is possible
Step-by-step explanation:
Given
[tex]n = 20[/tex]
[tex]x= 7[/tex] --- correct
[tex]y = -4[/tex] --- wrong
[tex]z = 0[/tex] --- empty answer
Required
Is a total of -11 possible?
To do this, we apply trial by error method.
After so many approaches, I found the following solution
[tex]x \to 3[/tex] -- Got 3 correctly
[tex]y \to 8[/tex] --- Failed 8
[tex]z \to 9[/tex] ---- Didn't answer 9
The above will give a score of -11.
We have:
[tex]3x+8y+9z[/tex]
[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]
[tex]3x+8y+9z = 21-32 + 0[/tex]
[tex]3x+8y+9z = -11[/tex]
Hence, a score of -11 is possible
Two triangles are congruent if one angle of one triangle is equal in measure to the corresponding angle of the other triangle.
True or False
Answers
Answer true
Step-by-step explanation:
Answer:
Correct option is
False
Even though all the corresponding angles of the two triangles are equal, the corresponding sides may not be equal.
Hence, the two triangles are not congruent.
The given statement is false.
Cara leaves her house at 10:03 and arrives at the library at 10:17. Irena leaves her house at 11:55 and arrives at the library at 12:06. Who takes longer to get to the library? How many minutes longer? Blank takes longer. She takes blank minutes longer
Answers
Answer: Cara takes longer to get to the library. She used 3 minutes more
Step-by-step explanation:
Cara leaves her house at 10:03 and arrives at the library at 10:17. The number of minutes used by Cara will be:
= 10.17 - 10.03
= 14 minutes
Irena leaves her house at 11:55 and arrives at the library at 12:06. The number of minutes used by Irena will be:
= 12.06 - 11.55
= 11 minutes
Cara takes longer to get to the library. She used (14 - 11) = 3 minutes more
Which statements about the triangles are correct? Select TWO answer choices that apply.
A
Triangle P is similar to triangle Q.
B
Triangle P is a reflection and rotation of triangle Q.
C
Triangle P is congruent to triangle Q.
D
Triangle P is a reflection and a dilation of triangle Q.
E
Triangle P is a dilation and a 180° rotation of triangle Q.
Answers
E-rotation 180 degree ,and dilation
I hope I helped you☺️
b ÷ 8 + 3 = 6
Please help
Answers
Answer:
24 divided by 8 +3 =6
Step-by-step explanation:
10)
1360°
A) 13.6 ft
C) 9.4 ft
B) 190.9 ft
D) 91.6 ft
Find the Arc Length of the circle above.
Answers
Answer: It's supposed to be A) 13.6 ft
help me with this math question please I'm giving away brainliests
Answers
Answer:
Step-by-step explanation:
Given function in the question is,
[tex]f(x)=\frac{-2x^2-4x}{4x+8}[/tex]
[tex]=\frac{-2x(x+2)}{4(x+2)}[/tex]
[tex]=-\frac{1}{2}x[/tex] If [tex]x\neq -2[/tex]
Given function is not defined at x = -2
At x = -2,
[tex]f(-2)=\frac{1}{2}(2)[/tex]
[tex]=1[/tex]
Therefore, there is a hole in the graph at (-2, 1).
Graph of the function 'f' will be a straight line with a hole at (-2, 1).
Horizontal asymptote → None
Vertical asymptote → None
x-intercept → No x-intercept [Line passes through origin (0,0)]
y-intercept → No y-intercept [Line passes through origin (0,0)]
Hole → (-2, 1)
Malaya is standing directly between a 90-foot tall courthouse and a 54-foot tall bank. If the angle of elevation from the point where Malaya is standing to the top of the courthouse is 72°, while the angle of elevation to the top of the bank is 35°. What is the distance between the courthouse and the bank?
Answers
Answer:
Step-by-step explanation:
Draw a picture.
c and b are Malaya’s distance from the courthouse and bank, respectively.
tan(72°) = c/90
c = 90tan(72°)
tan(35°) = b/54
b = 54tan(35°)
Distance between courthouse and bank = c+b
= 90tan(72°) + 54tan(35°)
= 301.5 ft