The equation that can be used to find the measure of angle LKJ is
x = Sin⁻¹ (8.9/10.9).
what are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
As we know that
sine of an angle = perpendicular/hypotenuse
Sine of ∠LKJ = 8.9/10.9
∠LKJ = Sin⁻¹ (8.9/10.9)
x = Sin⁻¹ (8.9/10.9)
Therefore, the equation that can be used to find the measure of angle LKJ is x = Sin⁻¹ (8.9/10.9).
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Graph the function y=-0.5 √x-3 + 2
Answer:
Plug it into desmos, and you're good to go.
The file below has the screenshot of the equation graphed.
How to factor polynomials with 5 terms without grouping.
Answer:
Step-by-step explanation:
You can use synthetic division method.
P(x) =x² + x - 2
(x + 2) is a factor.
Image attached.
At a school fundraiser, for every 12 boxes of chocalate sold a
student
earns 5 points. If maria sold 72 boxes, how many points did she earn ?
Answer/Step-by-step explanation:
72/12=6
6x5=30
30 points.
consider the function given by f(x)=x^2+3. find its average rate of change from x=-1 to x=3
Answer:
2
Step-by-step explanation:
f(-1) = (-1)² + 3 = 1 + 3 = 4
f(3) = 3² + 3 = 9 + 3 = 12
average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =
(12-4)÷(4) = 8÷4 = 2
the average rate of change is the slope of the drawn green line .
anyone willing to explain question 1 to me?? it’s about vectors but i just do not understand how vectors work at all.
Answer:
Step-by-step explanation:
So for question 1, we can see that we have a 30 60 90 triangle with a hypotenuse of 9.
So therefore, y=9/2 and x=4.5sqrt3.
please help :)
Use completing the square to determine which of the following gives the solutions to 3x2 − 24x + 40 = 28.
A. 2 ± 43–√
B. 4 ± 23–√
C. 3 ± 32–√
D. 6 ± 25–√
Answer:
B. I think it should be 4±[tex]2\sqrt{3}[/tex]. Correct me if I am wrong.
Step-by-step explanation:
Hope this helps!
The solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.
What is completing square method?Steps
Step 1: Divide all terms by a (the coefficient of x2).
Step 2: Move the number term (c/a) to the right side of the equation.
Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
The given quadratic equation is 3x²-24x+40=28.
3x²-24x+40-28=0
3x²-24x+12=0
x²-8x+4=0
x²-8x=-4
Now, -8/2 =4 and square of 4 is 16.
Add and 16 on both sides of an equation, we get
x²-8x+16=-4+16
(x-4)²=12
x-4=±√12
x=±√12+4
x=+√12+4 or x=-√12+4
Therefore, the solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.
Learn more about the completing square method here:
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Simplify the polynomial. Then find its value for the given value of the variable.
3x^3 – x^3 +5x^3-9x^-3?
if x= -1
The simplified form of the expression is :_______
If x = -1, the value of the expression is:_______
plssss help, fill in the blanks
Answer:
Step-by-step explanation:
Simplified expression:
[tex]3x^3 -x^3 +5x^3-9x^3[/tex]
[tex]2x^3 +5x^3-9x^3[/tex]
[tex]7x^3 -9x^3[/tex]
[tex]-2x^3[/tex]
If x = -1, the value of the expression is:
[tex]-2x^3[/tex]
[tex]-2(-1^3)[/tex]
[tex]-2(-1)[/tex]
[tex]2[/tex]
Hope this helps!
Tonya has 39 packages.Each package weighs 6 pounds.
a.2,400lb
b.240lb
c.200lb
d20lb
Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.
Identify the remainder when x3 - 3x2 - 9x is divided by x - 6.
Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
Cuanto es el número 0.996 redondeado por el tercer dígito ?
Answer:
1.000
Step-by-step explanation:
Miguel has 7 days to read a 96. Page book. He wants to find out how many pages he needs to read each day to finish the book in time. He
does the problem 96 - 7 and gets 13 15.
What does the remainder in the answer tell Miguel?
OA. He should read 5 pages every day.
OB. He should read 13 pages every day.
OC. If he reads 5 pages each day, he will be 13 pages short of his goal.
D. If he reads 13 pages each day, he will be 5 pages short of his goal.
Answer: D. If he reads 13 pages each day, he will be 5 pages short of his goal.
Step-by-step explanation:
96/7
≈13.7
if he reads only 13 he wont reach his goal of 96
6. For every 9 customers, the chef prepares 2 loaves of bread.
a. Here is double number line showing varying numbers of customers and the
loaves prepared. Complete the missing information.
b. The same information is shown on a table. Complete the missing information.
customers loaves
9 2
4
27
14
1
c. Use either representation to answer
these questions.
How many loaves are needed for 63
customers?
How many customers are there if the
chef prepares 20 loaves?
How much of a loaf is prepared for
each customer?
Please help
Step-by-step explanation:
Make sure to see the photo I tried to explain every part there
just by looking at the graph, does the graph represent a proportional relationship?
Explain why you are choosing yes or no.
Answer: Yes, because with each round table, the amount of chair goes up by 5.
Joelle is working on a school report in a word processor. She wants to place an oversized image which is 30. 51 \text{ cm}30. 51 cm30, point, 51, start text, space, c, m, end text wide so that it appears centered on the page. The width of the page is 21. 59 \text{ cm}21. 59 cm21, point, 59, start text, space, c, m, end text. In the program, horizontal positions to the right of the leftmost edge of the page are positive. What horizontal position for the left edge of the image should Joelle use to center the image?.
The horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm
How to find the center of the image?We have been told that in the question that the horizontal positions to the right of the leftmost edge of the page are positive.
Given
Joelle is working on a school report on a word processor.
She wants to place an oversized image that is 30.51 cm wide so that it appears centered on the page.
The width of the page is 21.59 cm.
Width of the oversized image = 30.51cm
The first step is to subtract the width of the word processor page from the width of the oversized image.
30.51cm - 21.59cm
8.92cm is the space left
Since we have two sides, horizontal positions to the leftmost side and horizontal positions to the right of the leftmost edge of the page.
The next step is we divide 8.92 by 2
= 8.92cm ÷ 2
= 4.46cm
Automatically, the horizontal position for the left edge of the image which Joelle should use to center the image would the negative.
Therefore, horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm
To know more about the center of the image click the link given below.
https://brainly.com/question/2918113
please someone help me with this problem
Answer:
x = 56
Step-by-step explanation:
The sum of a triangle add up to 180, so add all of the angles in the triangle and equate to 180
x + x + 7 + x + 5 = 180
collect like terms to simplify
3x + 12 = 180
subtract 12 on both sides
3x = 180 - 12
3x = 168
divide 3 on both sides
x = 168 ÷ 3
x = 56
i need help please thanks
Answer:
40 degrees
Step-by-step explanation:
This is a 40 degree angle
Hope this helps!
hi guys can you guys help me with this question
Answer:
1)6.000
2)8.935.600
5)70.000
4)2.509.200
7)6.000
8)9.000
10)5.800
11)6.900.000
13)5.000
14)2.000
16)5.000
17)6.400
Step-by-step explanation:
if you a line on the numbers you will see it easy
I nee help. Can anyone help please.
13 added to e algebraic expression
Answer: More information.
Step-by-step explanation:
Please provide an actual problem, thanks!
solve the following inequality
Answer: 8 > u > 6. I hope it helps!
How many solutions does this equation have-6u=9-5u
Answer:
Just one solution, u = -9
Step-by-step explanation:
-6u=9-5u
-u = 9
u = -9
Answer:
Just one solution, u = -9
Step-by-step explanation:
-6u=9-5u
-u = 9
u = -9
PLS HELP IM RAGE QUITTING AND IM ABOUT TO DETSORY MY COMPUTER
To find the area of the shape which is the shaded area I assume: we must find the sum of the area of the rectangle AECD and triangle BEC
Total Area =area of rectangle AECD + triangle BEC
= 9 * 15 + (1/2) * 6 * 15 = 136 + 45 = 181 square milimeters
Hope that helped!
Find the missing valve
Answer:
y = 11
Step-by-step explanation:
being equilateral triangle
<1 and <2 are supplementary. m<1=4x and m<2 =92 what is the value of x
Answer:
x=22
Step-by-step explanation:
Supplementary means that the two angles that are supplementary equal 180 degrees. 180-m<2=m<1
180-92=88 (m<2=92)
m<1=88
m<1=4x
4x=88
x=22
Which equation is equivalent to
log3(2x4 + 8x3) – 3log3x = 2log3x?
Answer:
the answer is log3 (2x+8)=log3 x²
Step-by-step explanation:
log3(2x^4+8x^3)-3log3x=2log3x
simplifying the above we get:
log3(2x^4+8x^3)=2log3x+3log3x
log3(2x^4+8x^3)=5log2x
Hence the answer should be:
log3 (x³)*(log3(2x+8))=5log3 x
3log3 x+log3(2x+8)=5log3 x
log3(2x+8)=5log3 x-3log3 x
log3 (2x+8)=2log3 x
log3 (2x+8)=log3 x²
What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00? 6. 75π in. 2 20. 25π in. 2 27π in. 2 81π in. 2.
The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.
Then the radius (r) is 9 inches and the angle is 120°.
We know that the area of the sector is given by
[tex]\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi[/tex]
The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.
More about the circle link is given below.
https://brainly.com/question/11833983
What is the rate of decay in the following function?
f(x)=3(67)^x
Answer:
Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.
Richmond County has a population of 850,000 people, which increases by 10% every year
due to a growing tech industry. What will the population be in 2 years?
If necessary, round your answer to the nearest whole number
Answer:
If the current population is 850,000. Next year it will be 935,000, and the year following that it will be 1,028,500. This is a linear growth (its growth has a common ratio).
Answer:
1,028,500 people
Step-by-step explanation:
When finding the percentage of a number you moved the decimal place over twice and then multiply.
850,000 x 0.10 = 85,000
10% of 850,000 is 85,000
I then found the population of the 1st year
85,000 + 850,000 = 935,000
then I found 10% of that 1st year
935,000 x 0.10 = 93,500
then added 85,000 and 93,500 to find the population growth in the 2 years
85,000 + 93,500 = 178,500
Then added the population growth to the original population
178,500 + 850,000 = 1,028,500 people
(I'm sorry, my last answer was wrong)
Hope this helps! :)
¿Cuál es el resultado de la siguiente operación? -4 +6 -5 +2
help
Answer:
-1
Step-by-step explanation:
[tex](-4 +6)( -5 +2 )\\ - 4 + 6 = 2 \\ - 5 +2 = - 3 \\ 2 - 3 = - 1[/tex]
Answer:
-1
Step-by-step explanation:
Necesitas agregar 6 a 4 negativo, luego obtienes 2, luego restas eso a 5 y obtienes -3 y luego sumas 2 para dejarte con -1.
I put Spanish and English just in case.
You need to add 6 to negative 4 then you get 2 then subtract that to 5 and you get -3 then add 2 to leave you with -1.
NEED ANSWERS NOW!!! Solve for x.
Answer:
im not sure i got stuck here ;; but i started sort of
Step-by-step explanation:
The first step is to get the inner angles. I'll start with the one at 60 degrees and call it A and go counter clockwise
A flat angle is 180 and -60 makes it 120 = Angle A
180-100=80=B
180-20=160=C
Then when you're trying to calculate a figure with more than 4 corners, you're supposed to divide them into triangles. Now we have a hexagon and the total degrees is 720. And we know that we have 2 6x and they're the angles
