A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)
Answer:
113.97 degrees
Step-by-step explanation:
use the cosine rule for finding an angle
cosA = b^2 + c^2 - a^2
2bc
In the given triangle angle A is greatest than any other angle.
What is the triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given sides of triangle, a=2cm,b=8cm,c=9cm
cosine law
Cos A = [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144
Cos B = [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36
Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex] = -13/52
A = Cos⁻¹ (141 /144 )
B = Cos⁻¹ (21/ 36 )
C = Cos⁻¹ (-13/52 )
Thus Angle A < Angle B < Angle C.
Therefore, Angle A is the greatest in the triangle.
Learn more about triangles here:
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Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.
Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)
Answer:
Im doing the same quesiton for flvs and dont know
Step-by-step explanation:
Answer:
what school do u do
Step-by-step explanation:
PLEASE HELP FAST ANYONE PLEASE!!!!
Answer:
the y intercept is 3!!!!!!!!
The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age.
Answer:
59? Is it H = 59?
Hey I need some help :)
Would the phrase
“Net Change” mean I would subtract the given numbers? I’m on a post test and I’m a little confused. Please answer if you know.
Answer:
Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.
e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.
However, if there is no change it would be just 0.
You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.
Answer:
$58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
82-24=58
11x + 18 = 172 not a test i need the right awnser
Answer:
x=14
Step-by-step explanation:
11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14
Help needed! Will mark brainliest!!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
Answer:
3
Step-by-step explanation:
let the other number be x
3x-x=6
2x=6
x=6÷2
x=3
therefore the numbers are 9&3
answer:
3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3
i hope this helps!! ♡
Will give crown help
Answer:
5,1,-3,-7
Step-by-step explanation:
y=-4x+1
if x is -1,
-4(-1)+1 or 4+1 or 5.
Following,
5,1,-3,-7
Hope this helps plz hit the crown :D
Can I plz get the congruence and reason plz
Congruence is when there are 2 objects that have the same shape and size, or they "mirror" each other.
Question 6:
Congruence:
Yes, these two objects are congruent.
Reason:
They are congruent, because they have the same size and shape, or that they "mirror" each other.
Question 7:
Congruence:
Yes there is congruence, here. These two objects are similar shapes, but not completely congruent.
Reason:
These two objects have the same size, but not the exact same shape. If you look at point B you can see that the two angles are different, which means that they are similar shapes, but not completely congruent.
Hope this helps! :)
Which of the following inequalities orders the numbers
0.2, 0.03, and 1/4 from least to greatest?
Answer:
0.03, 0.2, 1/4
Explanation:
The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The numbers are given below.
0.2, 0.03, and 1/4
Convert all the numbers into fraction numbers.
0.2, 0.03, and 0.25
Then the inequalities orders the numbers from least to greatest numbers will be
0.03 < 0.2 < 0.25
The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.
More about the ascending order link is given below.
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HELPPPPPPP plesssss two part question. the question is on the picture
8x+2 factored useing the gcf.
Answer:2 ( 4 + 1 )
Step-by-step explanation:
Solve
Log(x-1)+log(2)=7
Answer:
x is 6 i believeee if you're solving for x!!
Step-by-step explanation:
Answer:
x = 1 + 0.5 * 10^7
Step-by-step explanation:
Use log(a) + log(b) = log(ab).
log(x-1) + log(2) = 7 <=> log(2(x-1)) = 7 <=> log(2x-2) = 7
Using log(a) = b <=> a = 10^b
log(2x-2) = 7 <=> 2x-2 = 10^7 <=> 2x = 2 + 10^7 <=> x = 1 + 0.5 * 10^7
helppppppppppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
A and C
A child has 60 total coins. There are ten times as many nickels as there are quarters (q) and twelve more dimes than quarters. Write an equation to represent this situation
Answer:
10q+q+(12+q)=60
There are 80 pupils in a school. If 32 are boys, what percentage are boys?
Answer:
40%
Step-by-step explanation:
32/80=.4
Answer:
40%
Step-by-step explanation:
32÷80=.4×100=40%
What is the slope of the line that passes through the points (4, -6) and (4, 6)?
Answer:
no slope
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-(-6)/4-4
m=12/0
m= no slope
The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The
third number is two more than the first number, x. Which equation can be used to solve for the first number, X?
Ox+ 5x + x + 2 = 45
O x + x + 3 + x + 2 = 45
O x + 3x + 2 + x + 2 = 45
O x + 2x + 3+x+ 2 = 45
The option D is correct
O A. Belonging to a particular region or place
Pls help me with this :)
Answer:
looks like school work
Step-by-step explanation:
DO IT ON YOUR OWN
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!
The variables x and y vary directly. Use the values to write an equation that relates x and y. y=2 ; x=10
Answer:
20=y*x = 2*10=20
Step-by-step explanation:
If this is what you are asking for here q-q
Which quadrant would contain the point of showing 8°C above zero and an increase of 4 people sledding !
A: Quadrant 1
B:Quadrant 2
C:Quadrant 3
D:Quadrant 4
Answer:
yvhj gycvnuvngfyggjcgybkivuv
Answer:
Quadrant 1
Step-by-step explanation:
What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=
Answer:
Step-by-step explanation:
In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......
1) 52 + 122 = [tex]c^{2}[/tex]
174 = [tex]c^{2}[/tex]
[tex]\sqrt{174} =c[/tex]
13.190905 ≈ c
2) 25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
3) 169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
Hope this helps :)
The length of the hypotenuse 13 units.
What is a hypotenuse?A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Given that, A right triangle has side lengths 5 inches and 12 inches.
Using Pythagoras theorem,
h = √5²+12²
h = √25+144
h = √169
h = 13
Hence, the length of the hypotenuse 13 units.
For more references on hypotenuse, click;
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Natural gas high amounts of energy when burned and produces less air pollution than other fossil fuels.
true or false??
what is the circumference of a circle that has a radius of 14?
I need this by today plz answer...
Answer:
C≈87.96
r Radius 14
simplify 4p^5q^3*p^2^-4
24p+7q
-----------
12
Answer:
[tex]4p^{5q^{3} -2}[/tex]
Step-by-step explanation:
The base would stay the same as nothing is being multiplied.
what is it???????????
Answer:
4/5
Step-by-step explanation:
The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.
Answer:
slope = 4/5
Step-by-step explanation:
The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines
y value - y value over x value - x value
Points: (-2,0) and (3,4)
4-0 = 4
3-(-2) = 5
4/5
Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights
Answer: 24 1/2
Step-by-step explanation:
Find the GCF (30,45)
Hey there! I'm happy to help!
The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:
30: 1, 30, 2, 15, 3, 10, 5, 6
45: 1, 45, 3, 15, 5, 9
We see that the largest number they both have in common is 15, so the GCF is 15.
Have a wonderful day! :D
PLEASE HELP 20 POINTS!!!!!!!
What number is the next term in the number pattern? 2/5, 3/10, 6/15, 11/20, …
18/25
14/20
18/20
14/25
Answer:
18/25
Step-by-step explanation:
i dont have an explanation