Answer: 6.5
Step-by-step explanation: just trust me
The length of side k is approximately 6.56 inches.
What is Law of Cosines?A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle between them, divided by two.
We can use the Law of Cosines to find the length of side k:
k² = l² + m² - 2lm cos(K)
where K is the angle opposite side k.
In this case, we have l = 2.4 inches, m = 4.2 inches, and K = 159°. Substituting these values into the formula, we get:
k² = (2.4)² + (4.2)² - 2(2.4)(4.2)cos(159°)
Using a calculator to evaluate the cosine, we get:
k² = 5.76 + 17.64 - 19.96(-0.987688)
k² ≈ 43.11
Taking the square root of both sides (and rounding to the nearest tenth), we get:
k ≈ 6.56 inches
Therefore, the length of side k is approximately 6.56 inches.
To learn more about the law of cosines;
https://brainly.com/question/17289163
#SPJ2
Solve for y. 18y=126
In order to solve for y, we need to do the inverse operation (basically the opposite) of multiplication, which is division. So therefore, we divide both sides by 18 in order to get [tex]y = 7[/tex].
We plug in and check.
[tex]18 * 7 = 126[/tex]
which is correct.
what are the key points when putting an equation into y=mx+b formats
Answer:
b,y and m and x
Step-by-step explanation:
A tailor uses 225/8 yards of fabric to make four suits. The fabric costs $44.50 per yard. How much does the tailor pay for fabric to make the four suits? A $100.68 B $67.13 C $1,006.81 D $268.50
Total cost:-
[tex]\\ \sf\longmapsto 225/8(44.5)[/tex]
[tex]\\ \sf\longmapsto 28.1(44.5)[/tex]
[tex]\\ \sf\longmapsto 1251.5\$[/tex]
Recheck the question options
What is the volume of this right cone?
27 cm
200cm
213 cm
300 cm
If you ran a lemon aide stand and you sold 3 cups of lemonade to each person at .50 cents per cup,
how much money did you make selling to 25 people?
Answer:
$37.50
Step-by-step explanation:
{25(3)}0.50
-25 people times 3 cups for each person= 75
-0.50 times the amount of cups= 37.50
You would make 37 dollars and 50 cents.
I’m having a crisis so please help 7x-19<16
Answer:
5 i believe correct me if im wrong
Step-by-step explanation:
To work this problem out you would do it as if it were just a simple equation
7x-19<16 (you would first have to add 19 to both sides)
7x<35 (then you would divide by 7 to get the variable by itself)
x<5 ( you answer would then be 5)
What is the area of this triangle?
use the distributive property to rewrite each algebraic expression 3(x+7) 5(2x+7)
Answer:
3(x+7) --> 3x+21
5(2x+7) --> 10x+35
Step-by-step explanation:
For each one you take the number in front of the parenthesis and multiply it to each number or variable in the parenthesis.
Module 11 and 12 Exam On Level
winst vatue of x make this equation true?
-90 = -100 +x
Mr. Nelson went to Taco Town to get lunch for the eighth-grade teachers one day when they were having a grade-level meeting. He bought eight tacos and five burritos, and the total cost before tax was $13.27
PLEASE PLEASE HELP! :(
Which line is most likely to have a slope of 10?
一一一
Answer: b
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
Calculate or Simplify the value of each expression
a {-8} . 2/3
b {-8} .-2/3
c -18/3
d 18/-3
e -18/-3
Answer:
Step-by-step explanation:
[tex]b) (-8)*\frac{-2}{3}=\frac{(-8)*(-2)}{3}=\frac{16}{3}=5\frac{1}{3}\\\\c) \frac{-18}{3}= -6\\\\d) \frac{18}{-3}=\frac{6}{-1}= -6\\\\e) \frac{-18}{-3}=\frac{18}{3}= 6[/tex]
helpppp!!!!!!!!!!!!!
Answer:
a
Step-by-step explanation:
Evaluate the function. f(x)=4x^2+10 find f(-2)
Answer:
26
Step-by-step explanation:
f(-2)=4(-2)^2+10
=16+10
=26
PLEASE HELP ASAP! WILL GIVE BRAINLIEST!!!!
Answer: Alternate exterior angles theorom
Step-by-step explanation:
Find the value of tan 0 for the angle shown.
Answer:
Step-by-step explanation:
Tangent of 0 is always 0.
Taj saved $680 in 8 months. How much did his savings average each month?
Answer:
He saved $85 a month
Step-by-step explanation:
;)
Answer:
85
explanation:
the way i got it was dividing six hundred eighty by eight
680/8
Select the indicated real n th root(s) of a. n=5 a=243
Answer:
Ask your teacher because i don't know how to do it or i would help sorry
Step-by-step explanation:
Use a triple integral to find the volume of the tetrahedron T bounded by the planes x+2y+z=2, x=2y, x=0 and z=0
Answer:
Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0
We have,
z = 0 and x + 2y + z = 2
⇒ z = 2 - x - 2y
∴ The limits of z are :
0 ≤ z ≤ 2 - x - 2y
Now, in the xy- plane , the equations becomes
x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)
Firstly , we find the intersection between the lines x = 2y and x + 2y = 2
∴ we get
2y + 2y = 2
⇒4y = 2
⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5
⇒x = 2([tex]\frac{1}{2}[/tex]) = 1
So, the intersection point is ( 1, 0.5)
As we have x = 0 and x = 1
∴ The limits of x are :
0 ≤ x ≤ 1
Also,
x = 2y
⇒y = [tex]\frac{x}{2}[/tex]
and x + 2y = 2
⇒2y = 2 - x
⇒y = 1 - [tex]\frac{x}{2}[/tex]
∴ The limits of y are :
[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]
So, we get
Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]
= [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]
= 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0
= 1 - 1 + [tex]\frac{1 }{3}[/tex] = [tex]\frac{1}{3}[/tex]
So, we get
Volume =[tex]\frac{1}{3}[/tex]
The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.
Given,
The tetrahedron T is bounded by the planes,
[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]
From equation (1),
[tex]z=2-x-2y[/tex]
So the limits of z will be from 0 to [tex]2-x-2y[/tex].
Now, from equation (2),
[tex]y=\frac{x}{2}[/tex]
and from equation (1), putting z=0 we get,
[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]
So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].
On solving equation (1), for x we get
[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]
[tex]x=1[/tex].
So the limits of x will be from 0 to 1.
The volume of tetrahedron will be,
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]
[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]
[tex]V=1-1+\frac{1}{3}[/tex]
[tex]V=\dfrac{1}{3}[/tex]
Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.
For more details on Triple integration follow the link:
https://brainly.com/question/12632797
What type of solution represents the system x + y = 8 2x + 2y = 16
Answer:
Subtract y from both sides of the equation.
x=8−y
2x+2y=16
Replace all occurrences of x with 8−y in each equation.
16=16
x=8−y
Remove any equations from the system that are always true.
x=8−y
Step-by-step explanation:
-3√48n
I have to solve this using perfect squares, is anyone familiar with those?
Answer:
-12√3n
Step-by-step explanation:
We want to write this in its simplest form
48 = 16 * 3
√(48) = √16*3
√48 = 4 √3
so we have
-3 * 4 √3n
=
-12√3n
it would mean a lot.
3+ (5+4)= 3+ (4+5) illustrates which property? A.Commutative property of multiplication. B. dentity property of addition Associative property of addition. C. Commutative property of addition
Answer:
A, commutative
Step-by-step explanation:
Commutative property means that you can switch around the numbers, and get the same answer. However, the commutative property is only compatible for addition and multiplication. I.e. 2+6 equals 6+2, but 2-6 does not equal 6-2.
What is this ?? Pls help
I need help asap pls help
Answer:
C
Step-by-step explanation:
difference means minus
Answer:
B
Step-by-step explanation:
7(300-28)=7(272)=1904
The perimeter of a rectangular meadow is 1004 m. What
will be the sum of the length and breadth of the meadow ?
Answer:
hope it works for u
Step-by-step explanation:
Given the length of the rectangle = l
the breadth of the rectangle = b
perimeter of the rectangle = sum of length of all sides of the rectangle
= l+ b+ l+ b
=2 l+2 b
=2( l+ b)
∴ perimeter of the rectangle =2( l+ b)
as given perimeter = 1004 m
hence ,
2(l+ b)= 1004
(l+ b)=1004/2 = 502 m
l+ b=502 mmikey usually buys a box of 18 candy bars for 12.49 whats the unit rate of price per candy bar
Answer:
1.44
Step-by-step explanation:
1 box 18 candy bars each box 12.49
18 divide by 12.49 equals 1.44 each candy bars
find the missing side length
I will give brainliest to first correct answer
Please help me, I need to get this done ASAP!!!!
Answer:
[tex]73 {m}^{2} [/tex]
hope it's helpful ❤❤❤
THANK YOU.
Answer:
5d5d5e5dvg8v7c7c6c6x6x6x6c6c
4÷ 33.8 PLEASEEEEEE PLEASEEEEE
Answer:
33.8 ÷ 4 = 8.45
4 ÷ 33.8 = 0.118343195266
Step-by-step explanation: