Answer: (1)
Step-by-step explanation:
Using the properties of a 30 60 90 triangle, we get that ML=24sqrt3 and JM=24.
This means that the tangent is 24sqrt3 / 24.
What is an output in a function
Answer:
the range of the function.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Use the triangle to find each of the six trigonometric functions of _. Show all work
Answer:
you need to find that missing side... so (A squared) x (B squared) = (C squared)
A squared = 5
B squared is missing
C squared = 6
A=25
C=36
36-25= B squared....... B= (square root of 11)
now you need to plug in the numbers for the 6 trig equations...
sin0 = 5/6
cos0 = (square root of 11)/6
tan0 = 5/(square root of 11) which actually equals 5(square root of 11)/11
csc0 = 6/5
sec0= 6/ (square root of 11) which actually equals 6(square root of 11)/11
cot0 = (square root of 11/5
Step-by-step explanation:
Find the value of
(-3)
Show work
Must show work!!
Answer:
16/81
Step-by-step explanation:
(-2/3)^4
expand...
-2/3*-2/3*-2/3*-2/3
multiply
numerator: -2*-2*-2*-2=16
denominator: 3*3*3*3=81
Thus the fraction is 16/81
Hope this helps!!!
helppppp
helpppppp helppp
Answer:
intersect at (-1,-3)
Step-by-step explanation:
y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.
y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.
both the lines meet at (-1,-3) so make a point at that location
The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is _____ × 10–8
The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The sample-set S consists of all combinations of 6 distinct elements of the set of 50 elements, and;
[tex]\rm |S| =C(50, 6)=\dfrac{50!}{44!6!}[/tex]
The winning event E ⊆ S is just one winning combination, so that
|E| = 1.
Therefore, the probability of winning a lottery is;
[tex]\rm P(E)=\dfrac{|E|}{|S|}\\\\ P(E)=\dfrac{1}{\dfrac{50!}{44!6!}}\\\\\\ P(E)=\dfrac{44!6!}{50!}\\\\ P(E)= 6 \times 10 {-8}[/tex]
Hence, The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.
Learn more about probability here;
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How many sides does a polygon have if the sum of the measures of the interior angles is 5940
Answer:
Sorry for my handwriting
[tex]180(x - 2) = sum[/tex]
where x is the number of sides of the polygon.
[tex]180(x - 2) = 5940[/tex][tex]180x - 360 = 5940[/tex]
[tex]180x = 5940 + 360[/tex]
[tex]180x = 6300[/tex]
[tex]x = \frac{6300}{180} = 35 \: sides[/tex]
What's the difference between 2/8 and 5/8?
Answer:
-3/8
Step-by-step explanation:
In the figure below, mWXY = 62°, mXYW = 72°, and mWZV = 77°.
What is mZVW?
( i cant remove the answer i already selected sorry,)
40 points answer ASAP
A manager is assessing the correlation between the number of employees in a plant and the number of products produced monthly. The table shows the data:
Number of employees
(x) 0 10 20 30 40 50 60 70 80
Number of products
(y) 120 200 280 360 440 520 600 680 760
Part A: Is there any correlation between the number of employees in the plant and the number of products produced monthly? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answer: See below
Step-by-step explanation:
a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.
b) Let the function be: y = mx + b
When x = 0; y = 120
So:
120 = 0 + c
c = 120
Now the slope:
[tex]\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8[/tex]
Therefore, the equation that best fits the data is y = 8x + 120
c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.
PLEASE LOOK AT PICTURE AND HELP!!!
Answer:
answer A
Step-by-step explanation:
nnnnmmmkkkkkkookl
A pizza with 24 inch diameter cut into 16 pieces whats the area of each slice
Answer:
About 28.27 inches² per slice
Step-by-step explanation:
First, we will find the area of the pizza. Since it is a pizza, we will assume it is a circle and will use the formula for area of a circle.
24-inch diameter / 2 = 12-inch radius
A=πr²
A=π(12)²
A ≈ 452.39 inches²
Now, since the pizza is cut into 16 slices, we will divide the total area by 16.
452.39 inches² / 16 ≈ 28.27 inches² per slice
The perimeter of a quarter circle is 3.57
yards. What is the quarter circle's radius?
P = 3.57 yd
Given -
The perimeter of a quarter circle is 3.57yards. ie, P = 3.57 ydTo find -
the quarter circle's radiusSolution -
We know to find the perimeter of the quarter of a circle we use the formula,
1/4 × circumference of the circle
= 1/4 × 2πr
= 1/4 × 2×3.14×3.57
= 2.8 yards
I have this equation that I tried to factor:
2m^2 +7m+6
I got (2m+1)(m+6) because 6*1=6 and 6+1=7
but after confirming it with an algebra solving site, the answer is (2m+3)(m+2)
How would you arrive to this answer? (It would be great if you could explain each step)
The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.
Now we must find two factors of 12 that add to 7 (the middle coefficient).
Through trial and error, you should find that:
3*4 = 12
3+4 = 7
So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.
2m^2 + 7m + 6
2m^2 + 3m + 4m + 6
(2m^2 + 3m) + (4m + 6)
m(2m + 3) + 2(2m + 3)
(m + 2)(2m + 3)
(2m + 3)(m + 2)
The order of the factors doesn't matter since something like 2*3 is the same as 3*2.
------------------------------------------------
Verifying the answer:
You can use technology like you did to check the answer, but here's one way to do it without a calculator.
(2m + 3)(m + 2)
n(m + 2) ...... let n = 2m+3
mn + 2n .... distribute
m( n ) + 2( n )
m(2m+3) + 2(2m+3) .... plug in n = 2m+3
m*2m + m*3 + 2*2m + 2*3 .... distribute
2m^2 + 3m + 4m + 6
2m^2 + 7m + 6
We arrive back at the original trinomial, so we have confirmed the answer.
HELP PLEASE IT'S DUE IN AN HOUR, I also need to understand it for future qs
Answer:
a)5.83cm
Step-by-step explanation:
You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.
not sure about the 2nd bit, but you may have to use trigonometry
find the value of x in the triangle shown below.
x=[]
Answer:
x=[80]
Step-by-step explanation:
angle 1+angle 2+angle x=180
50 +50+x=180
100+x=180
100-100+x=180-100
x=80
Answer:
80
Step-by-step explanation:
The triangle on the image is an isosceles triangle so both of the bottom angles' measure = 50
The sum of interior angles in a triangle is equal to 180
if two angles has 50 degrees then x:
50 + 50 + x = 180
100 + x = 180 subtract 100 from both sides
x = 80
Ariana started a savings account with $240. She deposits $30 into her account at the end of each month. She wants to know how many months it will take for her account to have a balance greater than $500.
Answer:
9 months
Step-by-step explanation:
$500 - $240 = $260
$260/$30 = 8.67(3s.f.) ≈ 9 months
Recheck:
Balance after 9 months = 240 + (30×9) = 240 + 270 = $510
∴ $510 > $500
A irrational number less than 0
Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.
PLEASE, PLEASE LIKE ME AND FOLLOW ME IF YOU LIKE MY ANSWER PLEASE!!!
I’m very confused I hate this
Answer:
12
Step-by-step explanation:
its as easy as this:
what is 4 times 3?
12
Answer: the answer is 12 .
Step-by-step explanation: multiply 4 shirts times 3 shorts will give you 12 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST
.THANKS .
Solve each pair of simulation equation.Giving both solutions. Multiply both equations by suitable numbers before adding/subtracting to elimination..
A) 6x-7y=9
3x+2y=54
B) 4x -5y =12
2x -3y =8
C)4x -2y=28
3x +3y=12
D)2x +5y =14
13x-11y=-83
Answer:
Step-by-step explanation:
I haven't got time to do all these by I'll give you the method in each case.
You have to make the x or y term equal (or 1 term + and other -) in both equations before adding or subtracting.
A . Multiply equation 2 by 2 and subtract (to eliminate x)
- don't forget to multiply EACH TERM by 2.
B. Multiply equation 2 by -2 and add.
C. Multiply equation 1 by 3 and equation 2 by 2 ( this will give -6y and +6y in the resulting equations ) so you then add to eliminate y.
D. Multiply equation 1 by 13 and equation and equation 2 by 2 to eliminate x then add.
Convert the following fraction to a decimal -11/16
-0.6875
Step-by-step explanation:[tex]Convert\ -11/16\ to\ decimal\\ \downarrow\\ -0.6875[/tex]
I hope this helps you
:)
Answer: -0.6875.
Step-by-step explanation: -1/16 is -0.0625, and if you add -1/16 eleven times, you get -0.6875. Therefore, -11/16 as a decimal is -0.6875.
Have a great day! :)
help please :) help
Answer:
6
Step-by-step explanation:
4 time one is 1
plug in 1 for m
and you got 4 - -2
witch both negatives make a positive
And the cross-section perpendicular to the yaxis is a square. Set up a definite integral expressing the volume of the solid
The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
How to set up the integral?The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]
Using the washer method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]
Read more about volume integrals at:
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A company just paid a dividend of $1.20 per share at the end of the year. It is expected to grow at 12% per year for three years, after that it grows constantly at 6%. The cost of equity is 9.5%. What is the current price of stock?
The current price of the stock given the dividend, cost of equity and growth rates is $46.90.
What is the current stock price?Thw two-stage dividend growth model would be used to determine the value of the stock.
First stage:
dividend in Y1 = 1.20x 1.12 = 1.344dividend in Y2 = 1.20 x 1.12^2 = 1.505dividend in Y3 = 1.20 x 1.12^3 = 1.69Second stage:
Y3 = (1.69 X 1.06) / (0.095 - 0.06) = 51.059
Find the present value of these cash flows
(1.344 / 1.095) + (1.505 / 1.095²) + (1.69 / 1.095³) + (51.059/1.095³) = $46.90
To learn more about the two stage dividend model, please check: https://brainly.com/question/26564273
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A Math
FL Standards
Seventh grade > * Y.4 Area and perimeter: word problems JER
You have prizes ton
A train ticket is 6 centimeters tall and 15 centimeters long. What is its perimeter?
centimeters
Submit
78°F
Partly sunny
DL DC
99
o
1
>>
Answer:
42cm
Step-by-step explanation:
It's a rectangle so sides are 6, 6, 15, 15. Σs = 42.
Which rate does not belong with the other three?Explain
8 pounds for every 2 feet
12 pounds peer 3 feet
20 pounds per 4 feet
24 pounds for every 6 feet
Answer:
The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.
Step-by-step explanation:
Unit rate = How much of something per 1 unit of something else
We write this as a ratio with a denominator of one
In this case, we are using "pound per foot"
1. "8 pounds for every 2 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
[tex]\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}[/tex]
Simplify
[tex]\mathrm{4\:pounds}[/tex]
Unit rate = 4 pounds per foot
2. "12 pounds per 3 feet"
First, write the rate as a fraction
[tex]\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}[/tex]
Next, divide the numerator and denominator by 3
[tex]\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}[/tex]
Lastly, simplify and turn the denominator equal to 1
[tex]\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}[/tex]
Unit rate = 4 pounds per foot
3. "20 pounds per 4 feet"
First, write the rate as a fraction
[tex]\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}[/tex]
Next, divide the numerator and denominator by 4
[tex]\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}[/tex]
Lastly, simplify and turn the denominator equal to 1
[tex]\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}[/tex]
Unit rate = 5 pounds per foot
4. "24 pounds for every 6 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
[tex]\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}[/tex]
Simplify
[tex]\mathrm{4\:pounds}[/tex]
Unit rate = 4 pounds per foot
The rate that doesn't belong is "20 pounds per 4 feet"
simplified?
(7 × 10^7) × (7 × 10^-2)
mPQ = 121°. What is m<POQ? Enter your answer in the box.
Reason:
The central angle is the same measure as the arc it subtends.
Please Help its A Math Problem !! Is the following equation linear, quadratic, exponential or none of these?
f(x)=3x^2+2x
Question options:
Linear
Quadratic
None of these
Exponential
Answer:
I'm pretty sure that it's exponential but I'm still going over this topic in class.
What are the circumstances under which a person will feel disadvantage, if the parking ticket is lost
The circumstances where an individual will feel disadvantaged if they misplace or lost a parking ticket is that:
The parking attendant will find it difficult and tasking to locate your car in an absence of a parking ticket.You'll also be charged an extra expensive fee for a lost ticket.What is a parking ticket?A parking ticket is a piece of paper informing someone that they have parked a car unlawfully or for an excessively lengthy period of time and must pay a fine.
It is also know to be a notice informing a driver of a fee levied for improperly parking, usually written by a traffic officer and placed to a vehicle windscreen.
However, an individual will feel disadvantaged if they misplace or lost the ticket because:
The parking attendant will find it difficult and tasking to locate your car in an absence of a parking ticket.You'll also be charged an extra expensive fee for a lost ticket.Learn more about a parking ticket here:
https://brainly.com/question/26968718
I need help!!!!! The question is in the photo btw
Answer:
114 Feet^2
Step-by-step explanation:
Volume is length*width*height
So we can cut our shape into 2 rectanges.
The bottom one will have the dimensions of 6*1*3 which is 18 feet
And the top one will have the dimensions of 8*4*3 which is 96 feet
Add them up, 96+18=114 feet