In right traingle lmn, l and m are complementary angles and sin(l) is . what is cos(m)?
Answers
The cos(m) In the right triangle lmn is 19/20.
Complementary angles are formed when the total of two angles equals 90 degrees. 30 degrees and 60 degrees, for example, are complementary angles.
We have L + M = 90 because the angles L and M are complimentary.
Assuming that,
sin L = sin (90 - L) = sin M
sin (L) = 19/20.
As we know from our rule, the sine of angle L is equal to the cosine of L's complement, which is M.
This implies that the cosine of M is 19/20.
As a result, cos(M) equals 19/20.
Learn more about sine rule and cosine rule here: https://brainly.com/question/29612279
#SPJ4
Related Questions
try and awnser the question
Answers
Step-by-step explanation:
a. The temperature in Rome is 11 degrees and in Oslo is 2 degrees. To find the difference, you subtract the two. 11-2=9
The temperature difference is 9 degrees.
b. Kiev is 1 degree. It gets 6 degrees warmer. Add 1+6=7
Kiev is 7 degrees at 6 pm.
f(x)=x^4-8x^3+4x^2+6x-3;f(2) Use the Remainder Theorem to find the Indicated function value
Answers
The required simplified value of the function at x = 2 is -23.
An expression, [tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex] solution of the expression at x = 2 is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
In order to simplify the given expression association of the terms that have equal value in the exponent.
[tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex]
Put x = 2
[tex]f(2) = 2^4-8*2^3+42^2+6*2-3,[/tex]
f(2) = -23
Thus, the required simplified value of the function at x = 2 is -23.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
before starting to paint, bill had 130130 ounces of blue paint, 164164 ounces of red paint, and 188188 ounces of white paint. bill painted four equally sized stripes on a wall, making a blue stripe, a red stripe, a white stripe, and a pink stripe. pink is a mixture of red and white, not necessarily in equal amounts. when bill finished, he had equal amounts of blue, red, and white paint left. find the total number of ounces of paint bill had left.
Answers
The weight in ounces of paint which left after painting the wall is 114 ounces.
Explain weight in ounces.1 ounce is equivalent to 437.5 grains or 28.349 grams Abbreviation: oz. a unit of weight equivalent to one twelfth of a Troy or Pharmacists' pound; 1 ounce is equivalent to 480 grains or 31.103 grams. short for liquid ounce. a little part or sum.
How we make the equation of this problem to solve it?Let x be how much paint in a strip. The aggregate sum of paint is 130+164+188=482. In the wake of painting the wall, the aggregate sum of paint is 482-4x. Since the aggregate sum in each tone is similar in the wake of getting done.
Then equation can be written as,
482 - 4x/3 = 130 -x
482 - 4x = 390 - 3x
x = 92
so, the paint left = 482-4x = 482 - 4(92) = 114.
To know more about ounce visit:
brainly.com/question/29374025
#SPJ4
Evaluate the expression for the given value of the variable.
37 + 5/9n
n = -1/2
Answers
The value of the expression 37 + 5/9n = -1/2 is -67.5.
How to evaluate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
The expression is given as:
37 + 5/9n = -1/2
Collect the like terms
5/9n = -1/2 - 37
5/9n = - 37 1/2
0.5556n = -37.5
Divide
n = -37.5 / 0.5556
n = -67.5
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Complete question
Evaluate the expression for the given value of the variable.
37 + 5/9n = -1/2
when making decisions: question 15 options: qualitative factors are the most important both quantitative and qualitative factors are unimportant appropriate weight must be given to both quantitative and qualitative factors quantitative factors are the most important
Answers
When making decisions: c) appropriate weight must be given to both quantitative and qualitative factors.
Decision-making is a difficult process, especially when the issue at hand is complex and the significance of the outcome impacts the stakeholders. Decision-making is his five-step process. Recognize situations that require decision making. identifying and developing alternative courses of action; evaluating alternatives; choosing one of the alternatives and carrying out the chosen steps.
Quantitative decisions are primarily based on statistical analysis of collected data, whereas qualitative decisions are based on many algorithms such as data type and quality, factors influencing collected data, and risk assessment. It is based on more than just numeric data values to make decisions.
Quantitative factors are the basis of numerical determination. The impact of the decision on stakeholders and their reactions. investment valuation; break-even analysis; market research; sales forecasting; critical path and decision tree analysis. Qualitative factors consider other aspects that can influence the outcome of a decision, such as a SWOT (Strength Weakness Opportunities Threats) analysis. HR management issues such as motivation, morale and retention. PEST (Political, Economic and Social Technology); Advertising and Propaganda; Long-Term Survival/Development Issues and Stakeholder Analysis.
Learn more about Quantitative Factors:
https://brainly.com/question/28212730
#SPJ4
suppose that three microchips in a production run of sixty are defective. a sample of five is to be selected to be checked for defects. (a) how many different samples of five can be chosen from the production run of sixty?
Answers
From the production set, we can choose 8.803884057 × 10¹⁵² different samples.
Given,
The total microchips in a production run = 60
Number of microchips are defective in 60 = 3
Sample selected to check the defect = 5
We have to find the number of different samples of 5 can be chosen from the production run of 60;
Here,
Combinations formula:
According to the following formula, Cₙ, ₓ is the quantity of distinct combinations of x objects from a group of n members.
Cₙ, ₓ = n! / x! (n - x)!
Number of samples we can choose;
We are choosing 5 microchips from a set of 60.
Then,
C₆₀,₅ = 60! / 5! (60 - 5)! = 8.803884057 × 10¹⁵²
So,
We can choose 8.803884057 × 10¹⁵² different samples from the production set.
Learn more about combinations here;
https://brainly.com/question/16970661
#SPJ4
the r value is 0.2 per year. what percentage growth rate would the population show in the absence of constraints? (round your answer to the nearest whole number.)
Answers
The percentage growth rate would the population show in the absence of constraints is 22%
A logistic model is modeled by the function
N = K/1+be^rt
where, the constant k represents carrying capacity,
the constant b is formed by b = k/n(o) - 1
the value of r will be the intrinsic exponential growth rate and t represent time.
⇒ If there is no limiting factors, then the logistic model would be exponential according to formula:
N = N(0)e^rt
Since the corresponding growth factor for this exponential function is a = e^r
so the variable r can be obtained from a using :
r = ln a
a = e^r
given r= 0.2
a = ?
a = e°·²
a = 1.221
a = 1.22
⇒ 1.22 - 1 = 0.22
0.22×100 = 22%
Hence we get the percentage growth as 22%.
Learn more about Percentage growth here:
brainly.com/question/27161222
#SPJ4
> Solve the problem.
David paints a set for a
play. The table shows the
proportional relationship
between gallons of paint
and the area of the set.
What area of the set can
11 gallons of paint cover?
Paint (gal) Area (sq ft)
y
X
400
640
1200
2.5
4
7.5
11
Answers
1760 ft² area will be covered with 11 gallons of paint.
What is proportionality?When two quantities are related in a linear relationship, then that arrangement is said to be in proportion.
Given that, a proportional relationship between gallons of paint and the area of the set.
The relation is :-
x (gallon of pain) y (area)
2.5 400
4 640
7.5 1200
11 ?
Establishing the proportion,
Area covered in 1 gallon =
400/2.5 = 640/4 = 1200/7.5 = 160 ft²
That means, in 1 gallon, there will be 160 ft² area covered.
Therefore, in 11 gallons = 160×11 = 1760 ft²
Hence, in 11 gallons, 1760 ft² area is being covered.
For more references on proportionality, click;
https://brainly.com/question/3254974
#SPJ1
absolute value of 3+i
Answers
Answer:
3+i
Step-by-step explanation:
|3+i| is just 3+i because it is already positive.
15.Which of these is a correct statement about the function graphed below?
Answers
Answer: A.
Step-by-step explanation:
It can't be C or D because if you plug the y and x in, it will make the equation become not true!
Let's test the point (2,4)
y= x^2 + 2
4 = 6
This is not true, so C and D are wrong!
It can't be B because this graph is a linear function; you can test it using the line test.
So answer is A
Please help asap. Anything helps!!!
Answers
Answer: 2x
Step-by-step explanation:
Picture 1:
You are given that two sides are congruent and you are given two angles in terms of x. You should know that all angles of a triangle must add up to 180, and if a triangle has two equal side lengths, it must have two equal angles. The equal angles will always be next to each other and the congruent sides. So because you know that all sides add up to 180, you can add all of the angles and set them equal to 180. This yields this equation:
(2x+2) + (2x+2) + (3x+1) = 180
7x + 5 = 180
7x = 175
x = 25˚
Picture 2:
This one might seem complicated being an hourglass-like shape, but just remember that all it is is 2 triangles. So lets start with the upper triangle. You know that the two sides are equal, so the two unknown angles in that triangle must also be equal. Using the fact that all three angles of any triangle will always add to 180, you can solve using the equation:
x + x + 55 = 180
2x=125
x=62.5
So angles 1 and 2 both equal 62.5
Now, the lower triangle.
If two triangles are stacked on top of each other with the same lines making up the angle, the angle must be the same. I didn’t do a very good job of explaining, but this phenomenon is known as “vertical angles” and you can search it up for a better explanation. So you know angle 3 is 55˚. The outside angle, 105, is on a straight line with angle 4, and you know that all straight lines have an angle of 180 degrees. So 180-105 will give you angle 4 which would be 75˚. Now you have two of the three angles of the bottom triangle, so because they must all add up to 180, you know that 180-75-55=50˚ so angle 5 is 50˚
Picture 3:
So once again you must apply the fact that triangles add up to 180˚ to set the sum of the three angles of the triangle equal to 180 yielding this formula:
(2x+13) + (3x) + (57) = 180
5x + 70 = 180
5x = 110
x = 22
To find y, you must remember that all straight lines are a 180 degree angle, and because you know a part of it, 57, you can do 180-57 to find y which makes y = 123
Simplify by combining like terms
2/3b - 2 3/4
Answers
Answer:
[tex]\frac{8b-33}{12}[/tex]
Step-by-step explanation:
Sorry the answer is 8b-33/12
Write a symbolic equation for the location of the center of mass of the three beads relative to the center bead, in terms of the variables given in the problem statement.
Answers
The symbolic equation for the location of the center of mass of 3 beads is [tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3
Mass of 1st bead = m1 = 22 g
Mass of the 2nd bead = m2 = 12 g
Mass of the 3rd bead = m3 = 51 g
Distance of the 1st bead from left end of the rod = d1 = 1.5 cm
Distance of the 2nd bead from the first bead = d2 = 1.9 cm
Distance of the 3rd bead from the second bead = d3 = 4.5 cm
Location of the center of mass of the three beads relative to the left end of the rod = xcm
We want to find the center of mass relative to the left end of the rod therefore we will need the distances of each bead from the left end of the rod.
Distance of the first bead from the left end of the rod = x1
x1 = d1
Distance of the second bead from the left end of the rod = x2
x2 = d1 + d2
Distance of the third bead from the left end of the rod = x3
x3 = d1 + d2 + d3
[tex]x_{cm}[/tex] = m1 x1 + m2 x2 + m3 x3 / m1 + m2 + m3
[tex]x_{cm}[/tex]= m1(d1) + m2(dı + d2) + m3(d1 + d2 +d3)/ m1 + m2 + m3
[tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3
Substituting the values to get a numerical answer,
[tex]x_{cm}[/tex] = (22)(1.5) + (12)(1.5 +1.9) + (51)(1.5 +1.9 +4.5) 22 + 12 + 51
xcm = 5.61 cm
Location of the center of mass of the three beads relative to the center bead = x
Distance of the first bead from the center bead (second bead) = x4
x4 = -d2 (Negative as it is to the left of the second bead)
Distance of the second bead from the center bead (second bead) = x5 = 0 cm
Distance of the third bead from the center bead (second bead) = x6
x6 = d3
x = m1 x4 + m2 x5 + m3 x6/ m1 + m2 + m3
x = m1 ( - d2) + m2 (0) + m3 (d3) / m1 + m2 + m3
x = - m1 d2 + 0 + m3d3 / m1 + m2 + m3
x = m3d3 - m1 d2 / m1 + m2 + m3
Substituting the values to get a numerical answer,
x= (51) (4.5) - (22)(1.9)/22 + 12 + 51
x = 2.21 cm
To learn more about the center of mass
https://brainly.com/question/28996108
#SPJ4
Find the slope of the line passing through the points (8, 4) and (8, -9).
slope:
Find the slope of the line passing through the points (-7, 5) and (5, 5).
slope:
Answers
Answer:
Step-by-step explanation:
Slope is "rise over run" or change is y values divided by change in x values
the change is x values is zero. 8-8=0. Anything divided by zero is infinity.
the slope is infinite. The line connecting the 2 points is a vertical line, x=8.
Vertical lines have infinite slope.
A marine biologist is studying the growth of a particular species of fish She writes the following equation to show the length of the fish timma
Part A: When the marine biologist concluded her study the length of the fish was approximately 6.86 cm What is
Part B What does the y-intercept of the graph of the function fim) represent? (2 points)
Part C. What is the average rate of change of the function fim) from m-3 tom-7, and what does it represent? (4 p
Answers
PLEASE HELP WITH THIS GEOMETRY!!!!! 50 POINTS & BRAINLIEST
Answers
Answer:
angle L= 55 degrees
Angle Lmk= 62 degrees
Step-by-step explanation:
we will find Lmk first by subtracting 118 by 180
180-118
62
Now the sum of all the three angles of any triangle equal 180
so we can set all these angles equal to find x
(6x-9)+(4x+7)+62=180
10x-2+62=180
10x+60=180
-60. -60
10x=120
/10. /10
x=12
4(12)+7
48+7
55
Hopes this helps have a wonderful day
HELP ME!! I will give brainly
Answers
Answer:
-4
Step-by-step explanation:
First find the slope of the original line
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\\frac{1-0}{4-0} \\\frac{1}{4}[/tex]
Slope = 1/4
Then take it's negative reciprocal to get the slope of the perpendicular line by dividing 1 by the slope and then changing the sign
-4
In circle L with m/KLM = 60°, find the angle measure of minor arc KM.
Answers
Answer:
minor arc KM = 60°
Step-by-step explanation:
the measure of an arc is equal to the measure of the central angle that subtends it , then
arc KM = ∠ KLM = 60°
i need help with my Math homework please
Answers
Answer:
Step-by-step explanation:
15% of 3,000 is 450
The diameter of the hubcap of a tire is 46 cm find the area in square centimeters of this hubcap write your answer in the terms of pi 
Answers
Answer:
[tex]529\pi[/tex] cm²
Step-by-step explanation:
[tex]d=46 \implies r=23 \\ \\ A=\pi r^2=\pi (23^2)=529\pi[/tex]
Use the table. What is the total amount of
electricity a computer, a television, and a
heater use in 1 hour? Show your work.
How many hours does it take for a light
bulb to use as much electricity as a heater
uses in 1 hour?
DATA
Electricity Used
Appliance
Computer
Heater
Light bulb
Television
Kilowatts Per Hou
0.09
1.5
0.1
0.3
Answers
Answer:
Step-by-step explanation:
15
how many points does a team get when a player makes a shot from more than 25 feet away?
Answers
Answer:
e
Step-by-step explanation:
Find the slope of the line that passes through (5, 8) and (2, 4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
4/3
Step-by-step explanation:
4-8/2-5
-4/-3
4/3
hopes this helps
Answer: 4/3 is the slope
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $75,000 10-year term policy for a 25-year-old male. Round your answer to the nearest cent. A 5-column table with 6 rows titled term insurance. Column 1 is labeled age with entries 20, 21, 22, 23, 24, 25. Column 2 is labeled 5-year term male with entries 2 dollars and 43 cents, 2. 49, 2. 55, 2. 62, 2. 69, 2. 77. Column 3 is labeled 5-year term female with entries 2. 07, 02. 15, 2. 22, 2. 30, 2. 37, 2. 45. Column 4 is labeled 10-year term male with entries 4. 49, 4. 57, 4. 64, 4. 70, 4. 79, 4. 85. Column 5 is labeled 10-year term female with entries 4. 20, 4. 36, 4. 42, 4. 47, 4. 51. A. $363. 75 c. $183. 75 b. $207. 75 d. $338. 25.
Answers
The face value of a 10-year term insurance policy on a 24-year-old male will be $75,000 based on the amount paid per $1,000 of face value.
A contract for insurance provides protection from losses resulting from particular calamities or risks on the part of the insurer. It assists in against financial loss for the insured person or their family. The most prevalent types of insurance are life, health, homeowners, and auto.
Face value of the insurance policy
The formula use to calculate face amount is
= 1,000 x (Annual premium paid / Amount paid for $1,000 of coverage for a male 24 year old for a 10 year insurance)
How to solve:
= 1,000 x (359.25 / 4.79)
= 1,000 x 75
= $75,000
To learn more about insurance premiums
https://brainly.com/question/13724529
#SPJ4
piral Review Callie bought 4 pies from a bakery for a holiday dinner. The total cost was $75.80. each pie cost the same, how much did one pie cost?
Answers
To find the cost of one pie, we need to divide the total cost by the number of pies. In this case, that would be $75.80 / 4 = $<<75.8/4=18.95>>18.95. Therefore, each pie cost $18.95.
what is the quation of the unit cirle? that is what conditoon must x and y satify if (x,y) is 1 unit form the origin
Answers
how much time is required for a 5.75 mgmg sample of 51cr51cr to decay to 0.700 mgmg if it has a half-life of 27.8 days? express the time in days to one decimal place.
Answers
The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days
What is decay constant?
A property of unstable radionuclides that spontaneously decay at various rates to a more stable atomic configuration is the radioactive decay constant (λ); The higher the decay constant, the faster the parent radionuclide depletes over time.Decay constant k = ln(2) / half life
= ln(2) / 27.8
= 0.024933 day⁻¹
For first order decay:
ln(M / M₀) = -kt
where M is mass remaining at time t and M₀ is initial mass.
ln(0.700/5/75) = -0.024933 * t
Time, t = 99.4 days
Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.
To know more about decay constant check the below link:
https://brainly.com/question/12699719
#SPJ4
How much is 50 km in hours?
Answers
The mentioned data of 50 kilometres in hours is speed of 50 kilometres per hour.
The 50 kilometres refere to the distance and hour is representative of time. Now, ratio of distance and time indicates the speed or rate of movement of the concerned thing.
The speed or rate of movement holds significance in real world calculations. Based on it, the speed of bucket carrying water from well can be increased or decreased, movement of vehicles which may cause accident, distance covered by trains, airplanes, ships and other transport objects by specific speed in particular time limit.
Learn more about speed -
https://brainly.com/question/13943409
#SPJ4
find x in the equation
x = 2
x = −2
x equals 392 over 9
x equals negative 392 over 9
Answers
Answer:
x= -2
Step-by-step explanation:
5x+1/3=1/3x-9
-1/3x. -1/3x
4 2/3x+1/3= -9
-1/3. -1/3
4 2/3x= -9 1/3
14/3x= -28/3
/14/3. /14/3
x= -28/3*3/14
x= -84/42
x= -2
hopes this helps please mark brainliest
Answer:
x = -2
Step-by-step explanation:
5x + 1/3 = 1/3x - 9
5x - 1/3x + 1/3 = -9
5x * 3 15x
-- > -- (remember -> 5x is the same as 5/1x)
3 3
15x/3 - 1/3x + 1/3 = -9
14x/3 + 1/3 = -9
14x+1/3 = -9 (14x + 1 is ALL over 3)
Now multiply by 3 on both sides to cancel out the denominator since 3 is the denominator.
14x + 1 = -27
14x = -28
(divide by 14 to both sides)
x = -2
A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can made using 13 different beads?.
Answers
479,001,600 necklaces can be made using 13 different beads.
We will be using 13 different beads in our necklace, and the arrangement of the beads is what distinguishes one necklace from another.
Additionally, the mirrored necklaces are different because we are unable to turn the necklaces around (the positions of the beads are mirrored)
We have 13 alternatives for the first bead, 12 options for the second, and so on.
if the product of the options for each choice results in a total number of combinations equal to 1, then we have:
Combinations of the form C=13*12*11*10*9*8*7*6*5*4*3*2*1
C = 6,227,020,800.
Now that the necklace may be rotated, a combination is possible.
A B C D E F G H I J K L M (Each letter corresponds to a certain bead)
is identical to other orders as
A through Z: m A B C D E F G H I J K L
With 13 rotations for each combination, the actual number of combinations is:
C/13 = 6,227,020,800/13 = 479,001,600
To learn more about different necklaces
https://brainly.com/question/15877821
#SPJ4