Law of cosine helps us to know the third side of a triangle. The length of the third side of the ΔHIJ, h is 6.698 inches.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
As it is given that the length of the first two sides of the triangle is i=6.6inches and j=6.4 inches, while the measure of the ∠H=62°. Therefore,
the length of the third side with the help of cosine rule can be written as,
[tex]h =\sqrt{i^2 + j^2 -2ij\cdot Cos(\angle H)}\\\\h =\sqrt{(6.6)^2 + (6.4)^2 -(2 \times 6.6 \times 6.4)\cdot Cos(62^o)}\\\\h = 6.6976 \approx 6.698[/tex]
Hence, the length of the third side of the ΔHIJ, h is 6.698 inches.
Learn more about the Law of Cosine:
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Answer:
(1,2)
Step-by-step explanation:
Answer:
x=1
Explanation:
3x+4*2x=11
(We move all terms to the left)
3x+4*2x-(11)=0
( We multiply elements )
3x+8x-11=0
(We add all the numbers together, and all the variables )
11x-11=0
( We move all terms containing x to the left, all other terms to the right )
11x=11
x=11÷11
x=1
Show the work.!!!!!!!!
Answer:
9. 5y
10. 6x^2 + 4x^2 + 4 * (-1) = 10x^2 - 4
11. 2a^5 + 4b + b = 2a^5 + 5b
12. 14- 12= 2
8m + 2 + 4n = 8m + 4n +2
Step-by-step explanation:
need help please and
Answer:
B. 16x^2 - 9
Step-by-step explanation:
(4x-3) x (4x+3) = 4x(4x) + 3(4x) - 3(4x) - 9 = 16x^2 - 9
Answer:
the answer is B
Step-by-step explanation:
good luck on your assignment
In ΔMNO, n = 92 inches, ∠N=119° and ∠O=20°. Find the length of m, to the nearest 10th of an inch.
Answer:
Step-by-step explanation:
The length of the side of the triangle will be 69 inches.
What is the sine law?The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.
The sine law in the triangle ΔMNO is given as,
n / sin N = m / sin M = o / sin O
The third angle is calculated as,
∠M + ∠N + ∠O = 180°
∠M + 119° + 20° = 180°
∠M = 41°
The length m is calculated as,
n / sin N = m / sin M
92 / sin 119° = m / sin 41°
m = 69 inches
The length of the side of the triangle will be 69 inches.
More about the sine law link is given below.
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Can someone please help me
7 times m help helpp
Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió
Answer:
if you can transfer to englis i may be able to help
Step-by-step explanation:
In the accompanying diagram of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 25 and CB = 10, what is the length of DB? (if you don’t know dont answer)
Answer:
The answer is 15
Step-by-step
if that didnt work sorry
What is the average rate of change of f(x) = 1/4x²-4 over the interval from 0 to 3?
Answer:
no answer there is no answer from the choice
A customer calls your landscaping business already knowing the total area of a circular garden they are going to have landscaped. The area of the garden is 33.26 yards². For the work they are asking you to do, you need to calculate the radius. Remember to work the Area formula backwards to solve for the radius.
Answer:
Step-by-step explanation:
Area = πr²
πr² = 33.26
r = √(33.25/π) ≈ 3.25 yards
Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
volume = 254.34 cubic inches
Step-by-step explanation:
r = diameter /2 = 6/2 = 3 in
h = 3 × r = 3 × 3 = 9
volume = pi× r^2 × h
3.14 × 3 × 3 × 9254.34 cubic inches..Write an equation to represent the following statement.
24 is 4 times as great as k.
Answer:
24 x 4 = k x 4
Step-by-step explanation:
Sum1 plsssss help plssss
Answer:
The answer is 2/3 divided by 2/9= 3
Step-by-step explanation:
Can the sides of a triangle have lengths 6, 13, and 14?
Answer:
Step-by-step explanation:
No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
A -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a angle with a short vertical support.
Complete question :
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?
Answer:
13.80 feets
Step-by-step explanation:
Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :
To obtain x :
Sinθ = opposite / hypotenus
Opposite = 12.5 feets ; hypotenus = x ; θ = 65°
Sin 65 = 12.5 / x
0.9063077 * x = 12.5
x = 12.5 / 0.9063077
x = 13.792225
x = 13.80 feets
18
х
49°
A) 13.6
C) 23.9
B) 19.7
D) 8.9
Answer:
the answer is c 23.9
i hope it helps
Answer:
c 23.9
Step-by-step explanation:
cosas que aga sentir a una mujer bien
Answer:
Talvez que las alagen o que todo sea como ella quiera?
No soy experto lo siento
Step-by-step explanation:
Peter works two part time jobs. He is paid $6 er hour at job a and $9 per hour at job b. Last wee eter worked a total of 24 hours at both jobs and madr $189. Hobmny hours dud peter work at job a?
Answer: Peter worked 9 hours at job a
Step-by-step explanation:
Step 1
Let the number of hours worked in job a = x
and number of hours worked in job b = y such that the total hours worked would be expressed as
x=y= 24 ---eqn 1
also since $6 and $9 dollar are paid per hour for the job and the total amount made is $189, it should be expressed as
6x + 9y =$189--- equation 2
Step 2
Now we have gotten two expressions to solve for number of hours, we can now solve
x+y= 24 ---eqn 1
6x + 9y =$189--- eqn 2
Using elimination method, we multiply equation 1 by 6 and subtract from equation 2
6x + 9y =189
-6x+6y=144
3y=45
y= 45/3 =15
To find x
x+y = 24
x+15=24
x= 24-15
x= 9
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Therefore Peter worked 9 hours at job a and 15 hours at job b
A town has a population of 14,000 and grows at 2.5% every year what will be the population after five years to the nearest whole number
Find the gradient of the line segment between the points (2,2) and (0,6).
Answer:
slope-intercept formula -----> Y2-Y1/X2-X1
Step-by-step explanation:
X1 = 2 X2= 0
Y1 = 2 Y2=6
6-2/0-2= -2
G= -2
Kay is going to do some work in her garden. Her garden is in the shape of a rectangle. Kay thinks she can buy enough paint to cover the decking for less than £65 Is Kay correct?
Answer:
Still not sep-by-step explanation:
I need help solving an angle in right triangle
Answer:
X=41.8°
went setting this up we know we have to use the Sin trig function because the Hypotenuse and the opposite side are being used. This makes our equation Sin x= 4/6.
This answer was incorrect.
7. If AHBN - ALYR, find the value of x.
B
R
*+11
28
Y 21
L
N
H
3x-7
Answer:
x = 13
Step-by-step explanation:
I created a proportion from similar sides HB ≈ LY and NH ≈ RL
28/21 = (3x - 7)/(x + 11)
then cross-multiply to get
28(x + 11) = 21(3x - 7)
28x + 308 = 63x - 147
28x = 63x - 455
-35x = -455
x = 13
Find the value of x in the triangle shown below 12 9 x
It’s x=15
Answer: 15
Step-by-step explanation:
It’s the right answer
please help me with this question fast!!!!
I need this done! Decent amount of points for it (:
Answer:
umm its the quouto to the thing
Step-by-step explanation:
Answer:
Hope this helps!!
Step-by-step explanation:
#9(a)- 2x+7=10
#9(b)- ?
#9(c)- 2a+25
#9(d)- 30h=147
#9(e)- 4c+3t=21
#9(f)- 8c+2000=3600
I don't know about #9(c). So someone else will have to answer that one. Sorry.
. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon of vanilla.
What is the unit rate of cups per teaspoon?
Please do number 19 for me.
Answer:
[tex]x = 9[/tex]
[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]
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A factory robot recently examined some bulbs, of which 4 were flawed and 26 were not. Considering this data, how many flawed bulbs would the robot be expected to find in a batch of 15 bulbs?
Answer:
2
Step-by-step explanation:
Given that:
Flawed bulbs = 4
Not flawed = 26
Total examined = (flawed + not flawed)
Total examined = (4 + 26) = 30
P(flawed) = flawed / total
P(flawed) = 4 / 30 = 0.1333333
If 15 is examined :
Expected number of flawed bulbs :
(4/30) * 15 = 2
can someone please help me
Answer:
3[tex]\sqrt{15\\}[/tex]
Step-by-step explanation: