Given:
In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
To find:
The value of ∠K to the nearest 10th of a degree.
Solution:
According to the Law of Sine:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
Using the Law of Sine, we get
[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]
[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]
[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]
[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]
[tex]\sin K=0.961349[/tex]
[tex]K=\sin^{-1}(0.961349)[/tex]
[tex]K=74.0182[/tex]
[tex]K\approx 74.0[/tex]
Therefore, the measure of angle K is 74.0 degrees.
whoever answers correct i’ll mark brainliest
Answer:
37% between 1989and 2009
Step-by-step explanation:
20%+17%=37%
which of the following lists of ordered pairs is a function?
Answer:
D
Step-by-step explanation:
to be a function you cannot have different y values for the same x, in B for example when x = 3 you have two different values for y (3,7) and (3,8)
D is the only choice where each value of x only has one value for y
ZOOM IN IF YOU CANT SEE THE PIC. I NEED HELP ASAP!
Answer:
The answer is the last one!! 3/14
Step-by-step explanation:
Write 546/61 as a mixed number.
Can you solve it
Answer:
8 58/61.
Step-by-step explanation:
546/61 = 8 remainder 58
so it's 8 58/61.
consider the function g(x) = 54(1/3)x. evaluate g(0). what point does this indicate on the graph if g?
Trigonometric functions
Answer:
in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.
Please do number 11 for me.
Zena wants to paint a rectangle on a wall to serve as the background for a mural. She has enough paint to cover 38.25 square feet of wall space. If the width of the rectangle is 4.5 feet, what is its maximum length? a 33.75 ft b 8.5 ft c 38.25 ft d 4.5 ft
Answer:
8.5 feet.
Step-by-step explanation:
it is 38.25 / 4.5
Answer:
8.5
Step-by-step explanation:
HELPP (2) this is due in 4 mintues
Answer:
I think its A.
Step-by-step explanation:
What is the answer please
Answer:
I would say 45
Step-by-step explanation:
180-90=90
90/2=45
Solve this inequality 3t < 327
HELP PLS
Comparing irrational numbers with calculator
Compare.
Answer:
3 2/3 is greater
Step-by-step explanation:
3 2/3 is 3.6666 while √11 is 3.32
What is the slope of the line shown below?
Answer:
D
Step-by-step explanation:
Slope formula: m = (y2 - y1) / (x2 - x1)
First coordinate: (1, 3)
Second coordinate: (3, 9)
m = (9 - 3) / (3 - 1)
m = (6) / (2)
m = 3
Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira's expenses are half of Hideo's. Akira ends up saving 40% of his income. What percentage of his income does Hideo save?
Answer:
25%
Step-by-step explanation:
Let x represent Akira income and let y represent Hideo income.
Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:
x = (5/8)y
Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:
a = (1/2)b; b = 2a
Given that Akira savings is 40% of his income, we have:
savings = income - expenses
40% of x = x - a
a = x - 0.4x
a = 0.6x
For Hideo:
Income = y, expenses = b = 2a
Savings = income - expenses
Savings = y - 2a
Savings = y - 2(0.6x) = y - 1.2x
Savings = y - 1.2(5/8)y
saving = y - 6y/8
savings = 2y/8 = 0.25y
Therefore Hideo saves 25% of his income
What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)
Answer:
y=1
Step-by-step explanation:
Let's solve your equation step by step.
Step 1: Simplify both sides of the equation.
−4(2y−4)−4y=4
(−4)(2y)+(−4)(−4)+−4y=4(Distribute)
−8y+16+−4y=4
(−8y+−4y)+(16)=4(Combine Like Terms)
−12y+16=4
−12y+16=4
Step 2: Subtract 16 from both sides.
−12y+16−16=4−16
−12y=−12
Step 3: Divide both sides by -12.
y=1
Help :(((((((((;;;;; I NEED HELP W MATH
Answer:
p = 6
Step-by-step explanation:
p/15 = 4/10
*cross multiply*
p*10 = 15*4
10p=60
*divide to get p alone*
p=6
how much sit-ups can you do in 1 minutes?
Answer fasttt plsssssss
Answer:
25ax25b= 625
The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.
Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK
a. 2
b. 1/2
c. -3
d. 2/3
Answer:
b, c, and d are solutions
Step-by-step explanation:
3x - 2 < 2 - 2x
5x - 2 < 2
5x < 4
x < 4/5
b) 1/2 < 4/5 true
c) -3 < 4/5 true
d) 2/3 < 4/5 true
A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?
Answer:
[tex]4 < x < 38[/tex]
Step-by-step explanation:
[tex]21 - 17 = 4[/tex]
[tex]21 + 17 = 38[/tex]
The range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
A triangle has side lengths of 21 cm and 17 cm
side 1 = 21 cm
side 2 = 17 cm
What is the relation between side of triangle?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore,
length of side 3
[tex]21-17 < side 3 < 21+17[/tex]
[tex]4 < side 3 < 38[/tex]
Therefore the range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
To learn more about the side of triangle visit:
https://brainly.com/question/20734777
(2.99548) x (1.8342)
Answer:
5.49430941
Step-by-step explanation:
Multiply together.
i hope this helps, good luck :)
Simplify the expression by combining all the like terms 6+2x+5+4x
Answer:
6x+11
Step-by-step explanation:
6+2x+5+4x
4x+2x+6+5
(4x+2x)+(6+5)
6x+11
Answer:
6x +11
Step-by-step explanation:
group like terms (terms with the same variable and powers) together
(2x+4x) + (6+5)
6x +11
HELP HELP HURRY PLEASE !
Answer:
4
Step-by-step explanation:
5^2-3^2=16
sqrt16=4
Answer:
A. 4
Step-by-step explanation:
hypotenuse (h) = 5
base (b) = 3
perpendicular (p) = a = ?
We know
By using Pythagoras theorem
p = √( h² - b²)
a = √( 5² - 3²)
a = √(25 - 9)
a = √ 16
a = 4
The price of a pair of shoes increases from $67 to $83. What is the percent 1 point
increase to the nearest percent? *
Answer:
16
Step-by-step explanation:
PLS I NEED TO KNOW FAST, How many degrees is X?
Answer:
To me it Looks about 50 degrees from 80 degrees but im not positive though but i hope this helps you in some way or form.
Step-by-step explanation:
please help me, i’m super confused one what to do since my teacher did not explain well
Find the equation of the linear function represented by the table below in
slope-intercept form.
V
5
-10
8
A linear function in slope intercept form is
y = mx + c
To find the equation, you need m and c. This can be found by substituting the points you have.
For example, 5 = -1(m) + c and -7 = 2(m) + c
From here, do simultaneous equations
c = m + 5
-7 = 2(m) + m + 5
3m = -7 -5
m = -4
c = m + 5
c = 1
Rewrite the equation: (This is your answer)
y = -4x + 1
On a recent day, 8 euros were worth $9 and 40 euros were worth $45. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. Let y be the value In dollars and x be the number of euros. The equation is y =
Answer: y = 1.125x
Step-by-step explanation:
Divide the amount in dollars by the number of euros.
9/8 = 1.125
45/40 = 1.125
Since the constant change is 1.125, the input the 1.125 into the formula y=kx for k to get the equation y = 1.125x
SOMEONE PLEASE HELP WILL GIVE 25 POINTS
Answer:
Step-by-step explanation:
g(x) is vertical translation of f(x) by -12 units
estimate a 15% tip for a $60 bill
Answer:
the answer would be 15/100= .15 *60= 9 so the tip would be 9$
Answer the tax would be *.00 dollars if you estimate it
Step-by-step explanation:can I get marked brainlist