4214.7 is the balance in the account after 2 months .
What does compound and simple interest mean?
A fixed proportion of the principal amount borrowed or lent is what is known as simple interest and is paid or received over a given period of time.
Borrowers are required to pay interest on interest in addition to principal because compound interest accrues and is added to the total amount of interest from earlier periods.
P = $4200
R = 2.1% = 2.1/100 = 0.021 =
T = 2 month = 2/12 = 1/6
I = PRT
= 4200 * 0.021 * 1/6 = 14.7
Amount = P + I = 4200 + 14.7 = 4214.7
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a person rolls a standard six-sided die 10 times. in how many ways can he get 6 fives, 3 ones, and 1 two?
There are 840 ways for the person to get 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die.
To calculate the number of ways to roll 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die, we can use the formula for combinations with repetition.
The number of ways to choose 6 rolls to be fives out of 10 is given by the combination formula:
C(10, 6) = 10! / (6! * (10 - 6)!) = 210
Similarly, the number of ways to choose 3 rolls to be ones out of the remaining 4 rolls is:
C(4, 3) = 4! / (3! * (4 - 3)!) = 4
Finally, there is only one way to choose the remaining roll to be a two.
Therefore, the total number of ways to roll 6 fives, 3 ones, and 1 two in 10 rolls of a six-sided die is:
210 * 4 * 1 = 840.
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Anna ate 5 8 of an orange and gave the other 3 8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?
The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference.
5/8 - 3/8 = x
5/8 = 5 ÷ 8
= 0.625
3/8 = 3 ÷ 8
= 0.375
0.625 - 0.375 = x
= 0.25
Therefore, the difference between the amount Anna ate and the amount she gave to her brother is 0.25.The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference. To solve this equation, we first need to convert the fractions into decimal values. 5/8 is equal to 5 divided by 8, which is equal to 0.625. 3/8 is equal to 3 divided by 8, which is equal to 0.375. We can then subtract 0.375 from 0.625 to get the difference. This gives us 0.25, which is the difference between the amount Anna ate and the amount she gave to her brother. Therefore, the answer to the equation 5/8 - 3/8 = x is x = 0.25.
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There are 28 students in a class.
13 of the students are boys.
Two students from the class are chosen at random.
a) If the first person chosen is a boy, what is the probability that
the second person chosen is also a boy?
Give your answer as a fraction.
b) What is the probability that both students chosen are girls?
Give your answer as a fraction.
a) The probability that the second person chosen is also a boy is; 13/28
b) The probability that both students chosen are girls is; 5/18
How to find the probability of selection?The parameters given in the question are;
Total number of students in the class = 28 students
Number of boys in class = 13 students
Number of girls = 28 - 13 = 15 students
a) Probability of the first student being selected as a boy is;
P(First is boy) = 13/28
b) The probability that both students chosen are girls is;
P(both girls) = (15/28) * (14/27) = 5/18
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An account earns simple annual interest. $600 at 5% for 2 years
The total amount of interest earned at the end of 2 years is $60.
1. Calculate the interest earned in one year:
Interest = Principal × Rate × Time
Interest = 600 × 0.05 × 1
Interest = $30
2. Multiply the interest earned in one year by the number of years:
Total interest = 30 × 2
Total interest = $60
The total amount of interest earned at the end of 2 years is $60. This amount was earned by taking the principal amount of $600 and multiplying it by the rate of 5%, and then multiplying that product by the number of years, which in this case is 2. This calculation can be expressed as:
Total interest = Principal × Rate × Time
Total interest = 600 × 0.05 × 2
Total interest = $60
the complete question is :
An account earns simple annual interest. $600 at 5% for 2 years. How much interest will be earned on $600 invested at 5% simple annual interest for 2 years?
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the relationship between the amount of time a basketball player spent practicing the day before a game and the number of points he scored in the game is graphed on the scatter plot shown. scatter plot titled basketball players, with the x axis labeled time practicing in minutes and the y axis labeled points scored with points at 0 comma 10, 10 comma 15, 15 comma 18, 25 comma 25, 30 comma 28, 30 comma 30, 45 comma 35, 70 comma 40, 70 comma 45, 80 comma 45, 90 comma 50, and 120 comma 60 describe the type and degree of association in the scatter plot and what it means in terms of the time the player spent practicing and the number of points he scored in the game.
By examining the shape and degree of association on the scatter plot, we can gain insights into the nature of the relationship between the variables and make predictions about their behavior in the future.
A scatter plot is a graphical representation of a set of data that shows the relationship between two variables.
The type of association between the two variables can be identified by the shape of the scatter plot. If the points on the plot form a linear pattern, then the association is said to be linear. If the points on the plot form a curved pattern, then the association is said to be nonlinear.
The degree of association between the two variables can be determined by the strength of the correlation coefficient, which is a measure of how closely the points on the scatter plot follow a linear pattern. The correlation coefficient ranges from -1 to 1, where a correlation coefficient of 1 indicates a perfect positive linear association, a correlation coefficient of -1 indicates a perfect negative linear association, and a correlation coefficient of 0 indicates no association between the two variables.
In this scenario, if the scatter plot shows a linear pattern and the correlation coefficient is positive, it means that there is a positive association between the amount of time the player spent practicing and the number of points he scored in the game.
On the other hand, if the correlation coefficient is negative, it means that there is a negative association between the two variables, which implies that the more time the player spent practicing, the lower the number of points he scored in the game.
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Fatina uses 7.8 pints of white paint and blue paint to paint her bedroom walls 3/5 of this amount is white paint and the rest is blue paint how many pints of blue paint did she use to paint her bedroom walls
Using the fractional value of blue paint to white paint, the number of pints of blue paint Fatina used to paint her bedroom walls is 3.12 pints.
What is a fractional value?A fractional value is a proportional quantity of the whole value.
Fractional values are depicted in decimals, fractions, or percentages.
The total quantity of white and blue paints used on the bedroom walls = 7.8 pints
The fraction of the white paint = 3/5
The fraction of the blue paint = 2/5 (1- 3/5)
2/5 of 7.8 = 3.12 pints
Thus, proportionately, we can conclude that the blue paint Fatina used was 3.12 pints.
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Kathy uses 3.12 pint of white paint to paint her bedroom walls
How many pints of blue paint did she use?Total amount of paint ( Blue and white paint)= 7.8 pints
Amount of blue paint=3/5 x 7.8 = 4.68Pints
amount of white paint = Total amount of paint - amount of blue paint
= 7.6 pints - 4.68 pints
=3.12 pint of white paint
In conclusion, she uses 3.12 pint of white paint to paint her bedroom walls
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Keisha must choose a shirt and a pair of pants for today's outfit. She has 4 shirts and 2 pairs of pants to choose from. How many different outfits can she make?
answer: 12
explanation:
Anna ate 5/8 of an orange and gave the other 3/8 to her brother.
The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference.
5/8 - 3/8 = x
5/8 = 5 ÷ 8
= 0.625
3/8 = 3 ÷ 8
= 0.375
0.625 - 0.375 = x
= 0.25
Therefore, the difference between the amount Anna ate and the amount she gave to her brother is 0.25.The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference. To solve this equation, we first need to convert the fractions into decimal values. 5/8 is equal to 5 divided by 8, which is equal to 0.625. 3/8 is equal to 3 divided by 8, which is equal to 0.375. We can then subtract 0.375 from 0.625 to get the difference. This gives us 0.25, which is the difference between the amount Anna ate and the amount she gave to her brother. Therefore, the answer to the equation 5/8 - 3/8 = x is x = 0.25.
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The complete question is
Anna ate 5 8 of an orange and gave the other 3 8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?
do you believe that this conjectures "all numbers coming from the question p=n²-n+41 are prime numbers"?
Answer: No
Step-by-step explanation:
Valid only for numbers less than 40.
P(40) = 412 which is not a prime number
I increased a number by 5% twice how much id it increase by in percent.
Answer:
10%
Explanation:
You increased it by 5% twice, which is basically 5+5 or 5x2 which equals 10
if we have four variables, then how many equations will we have in our system of linear equations? 5 2 3
For four variables the required number of system of linear equations are at least option d. 4 equations.
Variable is represented by small alphabets : a , b, x, y , z, m , n ... so on.System of linear equations are set of equation relating variables with degree one. To solve the system of linear equations we need to have number of equations same as the number of variables.If there are two variables then we need to have minimum two system of linear equations .If there are n variables then there should be n system of linear equations.Therefore, if there are four variables in the system of linear equations then we should have option d. 4 equations.
The above question is incomplete , the complete question is:
If we have four variables, then how many equations will we have in our system of linear equations?
a. 5 b. 2 c. 3 d. 4
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Four children are playing a card game. The chart shows the number of cards each child has in his or her stack.
Name Number of Cards
Chris 7
Mike 8
Sally 10
Susan 25
Which is equivalent to Mike’s portion of the total number of cards?
A.) 2/25
B.) 16%
C.) 8/25
D.) 80%
(PLEASE EXPLAIN HOW YOU GOT THIS ANSWER)
The requried equivalent to Mike’s portion of the total number of cards is 16%. Option B is correct.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
From the given data,
Name Number of Cards
Chris 7
Mike 8
Sally 10
Susan 25
Total cards = 50
Now equivalent to Mike’s portion of the total number of cards is given as ,
= Mike cards/total card
= 8 / 50 × 100%
= 4/25×400%
= 16%
Thus, the requried equivalent to Mike’s portion of the total number of cards is 16%. Option B is correct.
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Can anybody answer the question I attached?
Answer:
36 bottles
Step-by-step explanation:
You want to know the number of bottles that must be painted and sold in order to make a profit of $120, given that 3 bottles can be purchased for $11, and each bottle can be sold for $7.
ProfitThe profit on each bottle is the difference between its cost and what it is sold for. The cost of 1 bottle is 1/3 of the cost of 3 bottles.
profit = selling price - purchase price
profit = $7/bottle - ($11/(3 bottles)) = $(21/3 -11/3)/bottle = $(10/3)/bottle
BottlesTo make a profit of $120, you need n bottles such that ...
(10/3)n = 120
n = 36 . . . . . . . . . multiply by 3/10
The club needs to buy, paint, and sell 36 bottles to raise $120.
What is the standard function of f? F(x)=4(x+6)2+5
The standard function for F(x)=4(x+6)2+5, will be f(x)=8x+53.
What is the definition of a function?
A function is defined as a connection between a set of inputs and a single output. A function is a link between inputs that corresponds to exactly one output. Every function has a domain, a co-domain, and a range. A function is often denoted as f(x), where x represents the input. The general representation of a function is y = f(x).
There are several types of functions in mathematics. Here are a few examples:
An injective function or a one to one function exists when there is a mapping for a range for each domain between two sets.
Surjective functions, also known as Onto functions, are employed for transferring more than one element from domain to range.
A polynomial function is a function composed of polynomials.
Functions that may be used to inverse another function are known as inverse functions.
Now,
Given function is F(x)=4(x+6)2+5
=(4x+24)2+5
=8x+48+5
=8x+53
hence,
The standard function for F(x)=4(x+6)2+5, will be f(x)=8x+53.
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A bag contains 2 red marbles and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Write your answer as a fraction.
The probability of getting both the marbles to be red will be 4/25.
What is probability?Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favorable outcomes to all outcomes.
Probability = Number of favorable outcomes / Number of samples
Given that two red and three black marbles are in a bag. If Abby takes a marble out of the bag without looking, puts it back, and then draws another marble.
The probability of getting red in the first draw,
P = 2 / 5
Now the marble is returned and again the probability of getting the red marble is,
P = 2 / 5
The probability of getting both the marbles red will be,
Pb = ( 2/ 5 ) x ( 2 / 5 )
Pb = 4 / 25
Therefore, there is a 4/25 chance that both marbles will be red.
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Please help me with this question real quick I didn't understand it if anyone can help please try to
you forgot to put the question
Holly's height decreased by 21 is 62.
Use the variable h to represent Holly's height.
The algebraic expression is h - 21 = 62
How to represent as an algebraic expressionIf we let "h" be Holly's original height,
The phrase "Holly's height decreased by 21 is 62" can be translated into an algebraic expression as:
h - 21 = 62
This equation represents the relationship between Holly's original height and her current height, after a decrease of 21 units.
We can solve for h by adding 21 to both sides of the equation:
h - 21 + 21 = 62 + 21
h = 83
Hence, Holly's original height was 83 units.
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find the value of x y and z
The values of x, y and z are;
x. x = 60° y = 55°
xi. x = 68° y = 56° z = 56°
xiii. x = 40° y = 50°
xiv. x = 40° y = 50°
What is a Triangle?A triangle is a 3-sided polygon that has three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle that always equals 180 degrees. This property is called angle sum property of triangle.
x. x = 60° (corresponding angles are equal)
y + 65° + 60° = 180° (Sum of angles in a triangle equals 180°)
y + 125° = 180°
y = 180° - 125°
y = 55°
xi. y = 56° (corresponding angles are equal)
y = z = 56° (angles in equal sides of a triangle are equal)
x + 56° + 56° = 180° (Sum of angles in a triangle equals 180°)
x + 112° = 180°
x = 180° - 112°
x = 68°
xiii. x + 140° = 180° (sum of angles on a straight line equals 180°)
x = 180° - 140°
x = 40°
y + 90° + 40° = 180° (sum of angles in a triangle equals 180°)
y + 130° = 180°
y = 180° - 130°
y = 50°
xiv. y + 130° = 180° (sum of angles on a straight line equals 180°)
y = 180° - 130°
y = 50°
x + 90° + 50° = 180° (sum of angles in a triangle equals 180°)
x + 140° = 180°
x = 180° - 140°
x = 40°
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Perform the operation and simplify the resulting fraction: 7/3a - 8/5 + 4/15a
After solving the given expression 7/3a - 8/5 + 4/15a, the resultant answer is fractions is 39/15a - 8/5.
What are fractions?A fraction in mathematics is a number that is stated as a percentage, such as 1/2 or 2/3.
The number on top denotes the component of the unit under consideration, while the number at the bottom indicates the total number of parts that make up one unit.
An element of a whole is a fraction.
The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.
A fraction appears in the numerator or denominator of a complex fraction.
So, we have the operations:
7/3a - 8/5 + 4/15a
Now, solve as follows:
7/3a - 8/5 + 4/15a
7/3a + 4/15a - 8/5
7*5 + 4 /15a - 8/5
39/15a - 8/5
Therefore, after solving the given expression 7/3a - 8/5 + 4/15a, the resultant answer is fractions is 39/15a - 8/5.
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Cool Down: Bacteria Population
The graph shows the bacteria population on a petri dish as a function of the days d since an
antibiotic is introduced.
number of bacteria
1,000,000
Interpreting Exponential Functions
500,000
(0, 1000000)
(1, 900000)
2
(2, 810000)
4
time in days
6
8
00
10
The approximate value of f(4.5) is 550000.
What is the exponential function?Exponents are used in exponential functions, as the name suggests. But take note that an exponential function does not have a constant as its base and a variable as its exponent (A function is a power function rather than an exponential function if its base is a variable and its exponent is a constant).
From the given graph, the coordinate points are (0, 1000000), (1, 900000) and (2, 810000)
We know that, f(x)=mx+c
Here, (0, 1000000) and (1, 900000)
Now, m=(900000-1000000)/(1-0)
m=-100000/(1-0)
m=-100000
Substitute b=-100000 and (x, y)=(0, 1000000) in y=mx+c
1000000=-100000(0)+c
c=1000000
Substitute m=-100000 and c=1000000 in y=mx+c, we get
y=-100000x+1000000
The approximate value of f(4.5)
Now, y=-100000(4.5)+1000000
y=550000
Therefore, the approximate value of f(4.5) is 550000.
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1. suppose a point is to be selected at random from the unit square. write the sample space associated with this random experiment.
a) The x-range of a unit square is from o to 1 and y-range is also from 0 to 1
Sample space = {(x, y)} , 0≤x≤1, 0≤y≤1.
So, sample space associated with this random experiment is
{(x, y)} , 0≤x≤1, 0≤y≤1.
b) From the given data,
Sample space for A : {1, 3, 5, 7, 9, 11,...}
Sample space for B: {5, 10, 15, 20, 25,...}
Therefore, the sample space for A∩B will be the set of all odd natural numbers divisible by 5 which is
{5, 15, 25, 35,....}
c) First letter is the capital letter = 26 Possibilities
then four digits = 9*10*10*10
two lower case letters = 26*26
Total possible ways = 26*9*10*10*10*26*26
= 15,81,84,000 ways.
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Complete question:
Suppose a point is to be selected at random from the unit square. Write the sample space associated with this random experiment. 2. Let S = {0, 1, 2, 3, 4, ...), A = the set of odd natural numbers, and B = the set of natural numbers divisible by 5. What is the set An B? 3. A computer password consists of two lowercase letters followed by a capital letter and four digits. Find the total number of possible passwords.
read the story. clara snacked on a mix of almonds and pecans. she ate 3 almonds for every 1 pecan. pick the diagram that models the ratio in the story. if clara ate 10 more almonds than pecans, how many nuts did she eat altogether?
In all together, Clara ate 20 nuts.
A system of equations is a set of one or more equations involving a number of variables.
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect.
Given that Clara snacked on a mix of almonds and pecans. She ate 3 almonds for every 1 pecan. Clara ate 10 more almonds than pecans.
Let the number of pecans be x and the number of almonds is y.
We can write the system of equations as:
y = 3x
y = x + 10
Equating the value of {y}, we get -
3x = x + 10
2x = 10
x = 5 ...(1)
y = x + 10 = 15
y = 15 ...(2)
x + y = 15 + 5 = 20
Therefore, in together, Clara ate 20 nuts.
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Add.The numerator should be expanded and simplified. The denominator should be either expanded or factored.\dfrac{8x}{x^2-49}+\dfrac{5}{x^2-4x-21}= x 2−498x + x 2−4x−215 =start fraction, 8, x, divided by, x, squared, minus, 49, end fraction, plus, start fraction, 5, divided by, x, squared, minus, 4, x, minus, 21, end fraction, equals
The simplified expression after factoring numerator and denominator is (x + 7) / x.
We can start by factoring the numerator and denominator of the first fraction:
x^2 - 49 = (x + 7)(x - 7)
The denominator can also be factored using the quadratic formula or by factoring as a product of two binomials:
x^2 - 4x - 21 = (x - 7)(x + 3)
So, the first fraction can be simplified as:
(x + 7)(x - 7)/[(x - 7)(x + 3)]
We can cancel out the (x - 7) factor in the numerator and denominator, leaving:
(x + 7)/(x + 3)
Next, we can simplify the second fraction by canceling out the common factor of (x + 3) in both the numerator and denominator:
(x + 3)/x
Putting it all together, we get:
[(x + 7)/(x + 3)] * [(x + 3)/x] = x + 7 / x
Therefore, the simplified expression is (x + 7) / x.
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____The given question is incorrect, the correct question is given below:
The numerator should be expanded and simplified. The denominator should be either expanded or factored.
Simplify (x^2-49)/(x^2-4x-21)*(x+3)/x
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
As a result, no particular postulate can be used to demonstrate their congruence due to a lack of adequate data. So "None" is the correct response.
What in mathematics is a similarity?If two figures share the same form, congruent corresponding angles (which means the angles in the same locations of each shape are the same), and identical scale factors, they are said to be "similar figures." Equal scale factors signify a matched ratio between the lengths of their respective sides.
Two triangles can be seen in the illustration, and their corresponding angles are both equal.As a result, they match the AAA similarity requirement. However, no more details are provided to demonstrate their consistency.Although comparable triangles may not be congruent, congruent triangles are known to be similar.To know more about similarity visit:
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Answer: None
Step-by-step explanation: I Just did it
Farmer Quect started with 110 rews on his farm. Every hour, he destoryed 6 more of them. Farmer Mimstone started with 54 rews on her farm. Every hour she collected 9 more of them?
Write a systems of equations in slope intercept form. Farmer's rews (y), hours (x)
The systems of equations in slope intercept form is
y = -6x + 110
y = 9x + 54
What is Slope- intercept form?When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
As, We know Slope-intercept form is
y = mx + b
where b is the starting value and m is the change per day.
Farmer Quect started with 110 rews on his farm. Every hour he destroyed 6 more of them.
So, the Equation to show the Situation
y = -6x + 110
and, Farmer Mimstone started with 54 rews on her farm. Every hour she collected 9 more of them.
So, the Equation to show the Situation
y = 9x + 54
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(a) without adding new vertices, add a single edge to the graph so that the new graph will have an euler path. which vertices does your new edge connect?
To add a single edge to a graph to create an Euler path, we must connect two existing vertices with an odd degree.
In graph theory, an Euler path is a path that visits every edge of a graph exactly once. However, not all graphs have an Euler path. If a graph has an Euler path, it must have either zero or two vertices with an odd degree. In this scenario, we are given a graph and are asked to add a single edge to create an Euler path.
To add a single edge to the graph, we must connect two existing vertices that have an odd degree. This is because adding a new vertex would change the degree of the graph and potentially affect the existence of an Euler path. Therefore, we must carefully consider the degree of each vertex before adding the edge.
Let's consider a graph:
A
/ \
B---C
/ \ / \
D---E---F
In this graph, vertices B, E, and F have an odd degree. To create an Euler path, we must connect two of these vertices with a new edge. Let's choose B and E, and add the edge (B, E) to the graph.
A
/ \
B---C
/ \ / \
D---E---F
Now, the graph has only one vertex with an odd degree, which is C. This means that the graph has an Euler path that starts at C, visits every edge exactly once, and ends at A.
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Scatter Plot 8 grades, help please!!!
The of association represented in the graph is positive linear association.
option C
What is a positive correlation?
A positive correlation is a statistical relationship between two variables such that as one variable increases, the other variable also increases, and as one variable decreases, the other variable decreases as well.
In other words, positive correlation means that as the value of one variable goes up, the value of the other variable also goes up, and vice versa. The correlation is said to be positive because both variables move in the same direction.
The strength of the correlation can be measured using a correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, while a correlation coefficient of 0 indicates no correlation.
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FIND THE PERIMETER AND AREA OF THE EQUILATERAL TRIANGLE
The area of an equilateral triangle is 16√3 m² and the perimeter of an equilateral triangle is 24 m.
What is area of an equilateral triangle?In an equilateral triangle, median, angle bisector and altitude for all sides are all the same and are the lines of symmetry of the equilateral triangle. The area of an equilateral triangle is √3/4 ×a².
From the given figure, side of the equilateral triangle is 8 m.
Now, area of an equilateral triangle is
√3/4 ×8²
= √3/4 ×64
= 16√3 m²
The perimeter of an equilateral triangle is 3a.
Now, the perimeter is 3×8
= 24 m
Therefore, the area of an equilateral triangle is 16√3 m².
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the ratio of 9 minutes and 600 seconds in its simplest form
Answer:
Step-by-step explanation:
600 secs=600/60 mins=10 mins
9 mins= 9 mins
Therefore, 9 mins : 600 secs
=9 mins : 10 mins
=9:10
A right triangle has acute angles c and d . If c=15/8 and sin d=8/17, what are cos d and cos c?
The value of the right triangle cos d = 15/17 and cos c = 8/17.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given that, the value of tan c = 15/8 and the value of sin d = 8/17.
From the trigonometric functions we can conclude that:
Opposite side to c = 15
Adjacent side to c = 8
Hypotenuse = 17
Opposite side to d = 8
Adjacent side to d = 15
The values of cos d is:
cos d = Adjacent side to d / Hypotenuse = 15/17
cos c = Adjacent side to c / Hypotenuse = 8/17
Hence the value of the right triangle cos d = 15/17 and cos c = 8/17.
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