We can find the domain and range of the function without the help of graphing calculator by the following steps mentioned below.
What are domain and range?The domain of a function is the set of values that we are allowed to enter into our function.
This set consists of the x values for a function like f. (x).
The set of values that a function can accept as input is known as its range.
The function outputs this list of values once we enter an x value.
The domain of a function refers to the set of input values.
These numbers, which stand in for the independent variable, are corresponding to the x-axis value.
The range of a function refers to the set of output values.
These values, which indicate the dependent variable, are corresponding to the y-axis value.
Find a function's domain and range without graphing as follows:
(A) Place y = f(x)
(B) In terms of y, solve the equation y = f(x) for x. Let x = g (y)
(C) Discover the values of y and its domain of f for which the values of x, as determined by x = g(y), are real.
(D) The range of the supplied function is the collection of y values produced in step 3.
Therefore, we can find the domain and range of the function without the help of graphing calculator by the following steps mentioned above.
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nine gymnasts entered a competition. medals will be awarded for first place, second place, and third place? how many different ways could the medals be awarded to the nine competitors
There are 504 different ways the medals can be awarded to the nine competitors.
To find the number of ways the medals can be awarded, we can use the permutation formula:
nPr = n! / (n-r)!
where n is the total number of competitors and r is the number of medals to be awarded (in this case, r=3).
Plugging in the values, we get:
9P3 = 9! / (9-3)!
= 9! / 6!
= (9 x 8 x 7 x 6!) / 6!
= 9 x 8 x 7
= 504
Therefore, there are 504 different ways the medals can be awarded to the nine competitors. In this situation with nine gymnasts competing for first, second, and third place medals, you can use the concept of permutations. A permutation is an arrangement of objects in a specific order. There are 9 options for the first-place medal, 8 options remaining for the second-place medal, and 7 options remaining for the third-place medal. To find the total number of different ways to award the medals, simply multiply the available options for each position:
9 (first place) × 8 (second place) × 7 (third place) = 504
So, there are 504 different ways to award the first, second, and third place medals to the nine competitors.
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A. 115
B. 167
C. 126
D. 96
Answer:
126
Step-by-step explanation:
Let x be the missing length
The triangles are similar:
● UE/140 = 45/x
From the graph we deduce that:
● UE = 140 - 90 = 50
Replace UE by its value
● 50/ 140 = 45/x
Switch x and 50
● x / 140 = 45/50
45/50 is 9/10 wich is 0.9
● x/140 = 0.9
Multiply 0.9 by 140
● x = 140 × 0.9
● x = 126
Answer:
I think its c 126
Step-by-step explanation:
what does 10+q equal?
Answer:
Well if no variable substitution is given its 10+q
10+q=10+q
Answer:
10+q is thank you :P
Step-by-step explanation:
hehe
5.explain why reaction rates decline with time and use this information to correctly process the data (by choosing the proper data points to do linear regression
Reaction rates decline with time because the reactants are consumed over time, reducing the number of reactant particles available for reaction.
What are reactants?The components that are involved in a chemical reaction are known as reactants. They are the beginning ingredients that are changed into new compounds, known as products, through a chemical process. The left side of a chemical equation is often used to represent reactants, whereas the right side is used to indicate products. The quantity and kind of reactants and products affect the kind of chemical reaction that takes place. Pure substances, such as elements or compounds, or combinations of substances, can function as reactants with time. In a chemical reaction, reactants are changed into products by chemical bonds being broken and formed, releasing or absorbing energy in the process.
How to solve?
As the number of reactant particles decreases, the rate of reaction also decreases. This phenomenon can be observed in many chemical reactions, including reactions that involve the decay of radioactive elements.To correctly process data on the decline of reaction rates with time, it is important to choose the appropriate data points for linear regression. This typically involves selecting data points at regular intervals, such as every minute or every hour, to accurately represent the decline in reaction rates over time. By choosing the right data points and performing linear regression, it is possible to accurately model the decline in reaction rates and make predictions about future reactions.
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Mean or median? You are planning a party and want to know how many cans of soda to buy. A genie off ers to tell you either the mean number of cans guests will drink or the median number of cans. Which measure of center should you ask for? Why?
Step-by-step explanation:
To make your answer concrete, suppose there will be 30 guests and the genie will tell you either x-bar= 5 cans or M=3 cans. Which of these two measures would best help you determine how many can you should have on hand?
What is the slope of the graph of this function in decimal form?
(6,1) (-6,-5)
Answer:
slope = 0.5
Step-by-step explanation:
\(slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5\)
Hope this helps
The slope of the graph through points (6,1) and (-6,-5) is 0.5.
What is the slope of the graph?The slope formula can be expressed as:
\(Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\)
Given the coordinates of the points through which the graph passes through:
Point 1 ( 6,1 )
x₁ = 6
y₁ = 1
Point 2( -6,-5 )
x₂ = -6
y₂ = -5
Plug the coordinates into the slope formula and simplify.
\(Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5\)
Therefore, the slope of the line is 0.5.
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what is the last step of solving a statistical study
The final step of statistical analysis is interpreting your results.
The final step of statistical study is intepreting your result.
What is statistical study?Statistical study is the collection and interpretation of data in order to uncover patterns and trends. It is a component of data analytics. Statistical analysis can be used in situations like gathering research interpretations, statistical modeling or designing surveys and studies.
The steps which are required during statistical study are:
Write your hypotheses and plan your research design.Collect data from a sample.Summarize your data with descriptive statistics.Test hypotheses or make estimates with inferential statistics.Intepret your result.Therefore, the final step of statistical study is intepreting your result.
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45% of what number is 51.75?
Answer:45% of 51.75=23.2875
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 51.75 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 51.75 is 100%, so we can write it down as 51.75=100%.
4. We know, that x is 45% of the output value, so we can write it down as x=45%.
5. Now we have two simple equations:
1) 51.75=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
51.75/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 51.75
51.75/x=100/45
(51.75/x)*x=(100/45)*x - we multiply both sides of the equation by x
51.75=2.2222222222222*x - we divide both sides of the equation by (2.2222222222222) to get x
51.75/2.2222222222222=x
23.2875=x
x=23.2875
now we have:
45% of 51.75=23.2875
When hourly employees work beyond 40 hours in a week, federal law requires that they receive __________ pay. A. commissioned B. exempt C. overtime D. salaried Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation:
Answer:
Answer: D
Step-by-step explanation:
Triangle BCD was dilated using the rule D Subscript Q, one-half.
What are the values of the unknown measures?
m∠C'B'D' =
°
CQ =
B'D' =
The values of the missing angles and sides after dilation are:
m∠C'B'D' = 95°, CQ = 6 and B'D' = 11.
What are the values of the angles after transformation?m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'
m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC (dilation)
m∠C'B'D = 180° - 34° - 51° = 95°
Thus, by way of scale factor we can say that:
BC/B'C' = BD/B'D' = 36/18 = 2
B'D' = ¹/₂BD = ¹/₂ * 22 = 11
ΔC'P'Q ∼ ΔCPQ
Thus:
C'Q'/CQ = C'D'/CD = D'Q'/DQ
CQ = 2C'Q' = 2 * 3 = 6
Therefore, m∠C'B'D' = 95°, CQ = 6 and B'D' = 11.
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*9. The consultancy Imagination Inc. Is working with its manufacturing client Parts-R-Us to improve their on-time
performance. The firm can earn a bonus of up to $1,000,000 based on how much the on-time performance actually
improves. It's current (baseline) on-time performance is 90%.
The company typically completes approximately 1,000 orders per month, with approximately 100 orders delayed. The
bonus payment is prorated according to the following criteria:
• The on-time performance improvement is calculated based on a reduction in late events or an improvement in on-
time performance.
• No bonus is earned for the first 25% reduction in late events, say from 100 to 75. Maximum bonus is earned once
Parts-R-Us achieves 95% on-time performance.
Please answer the following:
Write down a formula to
determine the total bonus
amount to be received
Using your formula, show
how much bonus would be
paid if Parts-R-Us achieves
94% on-time performance
Parts-R-Us could be eligible for a $0 bonus if it achieves an on-time performance rate of 94% or more.
The company would have to maintain an order delivery rate of 95% in order to qualify for the bonus. If achieved, the bonus would be as follows: Bonus = 94% * (1 - 100).
The following is the calculation for the bonus:
Bonus = P * (1 - D)
Where:
P represents the proportion of orders that are delivered on time.
D represents the total number of orders placed late.
In the event that Parts-R-Us achieves an on-time performance rate of 94%, the bonus would be as follows:
Bonus = 94% * (1 - 100)
Bonus = $0
If the company only managed to complete its tasks 94% of the time, it will not be eligible for a bonus.
In order to qualify for the maximum bonus, Parts-R-Us would have to maintain an on-time delivery rate of 95%.
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Identify which type of sampling is used: random, stratified, cluster, systematic, or convenience.
_________1. A psychologist selects 12 boys and 12 girls from each of 4 Math classes.
_________2. When he made an important announcement, he based conclusion on 10,000 responses, from 100,000 questionnaires distributed to students.
_________3. A biologist surveys all students from each of 15 randomly selected classes.
_________4. The game show organizer writes the name of each contestant on a separate card, shuffles the cards and draws 5 names.
_________5. Family planning polls 1000 men and 1000 women about their views concerning the use of contraceptives.
_________6. A hospital researcher interviews all diabetic patients in each 10 randomly selected hospitals.
_________7. Smart selects every 100th cell phone from the assembly line and conduct a thorough test of quality.
The type of sampling used in each scenario is as follows:
Stratified sampling, Convenience sampling, Cluster sampling, Random sampling, Convenience sampling, Cluster sampling, Systematic sampling
The psychologist selects a specific number of boys and girls from each math class, which indicates stratified sampling. The population (students) is divided into strata (math classes) and samples are taken from each stratum.
The conclusion is based on responses from questionnaires that were distributed conveniently to students, indicating convenience sampling. The sample is not randomly selected but consists of those who chose to respond.
The biologist surveys all students from randomly selected classes, indicating cluster sampling. The population (students) is divided into clusters (classes), and all members of the selected clusters are included in the sample.
The game show organizer shuffles and randomly selects contestant names, indicating random sampling. Each name has an equal chance of being selected.
Family planning polls a specific number of men and women, suggesting convenience sampling. The individuals surveyed are conveniently selected and may not represent the entire population.
The hospital researcher interviews all diabetic patients in randomly selected hospitals, indicating cluster sampling. The population (diabetic patients) is divided into clusters (hospitals), and all members of the selected clusters are included in the sample.
Smart selects every 100th cell phone from the assembly line, indicating systematic sampling. A sampling interval is used to select samples at regular intervals, ensuring a systematic and consistent approach.
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Select two numbers that fit the following description.
Rational numbers that are not integers
A : 1.5
B : 8/1
C: 2/5
D: -1
Answer:
A and C
Step-by-step explanation:
Rational numbers can be written in the form \(\frac{integer}{integer}\)
Both A and C can be written in this form, but they are not integers.
1.5 = \(\frac{3}{2}\)
Integers are all the whole numbers and their opposites.
0,1,2,3...
or ...-3,-2,-1 0,1,2,3...
\(\frac{8}{1}\) can be written as 8 and -1 is an integer.
Given a
6 and a common
difference of – 12, find the
18th term in the sequence.
Answer:-210
Step-by-step explanation:6, -6, -18, so, you multiply -12 by 18, and you can find that number. -12 times 18=-216, and -216+the first number 6, equals 210
Select the statement below that is true about correlations.A. Correlations can only be negativeB. Correlations are a measure of how much one variable changes as the other variable changesC. Correlations are a measure used to determine the degree to which two variables are related.D. Correlations are a measure of causation between two variablesE. A negative correlation implies no relationship between variablesF. Correlations can only be positive
The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .
In the question,
few statements about Correlation is given ,
we need to find the statement that is True .
we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,
the correlation can be negative , positive or 0 ,
and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .
So , from the above information about Correlation ,
we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "
Therefore , the statement in option (c) is True .
The given question is incomplete , the complete question is
Select the statement below that is true about correlations.
(a) Correlations can only be negative
(b) Correlations are a measure of how much one variable changes as the other variable changes
(c) Correlations are a measure used to determine the degree to which two variables are related.
(d) Correlations are a measure of causation between two variables
(e) A negative correlation implies no relationship between variables
(f) Correlations can only be positive .
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3t-18=4(-3- 3/4t
solve for t
Answer:
t = 1
Step-by-step explanation:
I will assume that there is a parenthesis missing: the equation should read 3t-18=4(-3- 3/4t) and not 3t-18=4(-3- 3/4t
3t-18=4(-3- 3/4t)
3t-18= -12- 12/4t [Remove parentheses by multiplying each term by 4]
3t-6= - 3/t [Simplify]
3t^2-6t = -3 [Multiply both sides by t]
3t^2-6t +3 = 0
3(t^2-2t+1)=0
3(t-1)*(t-1) = 0
Two solutions, both the same value:
(t-1) = 0
t = 1
===
Does t=1 result in 0 for the equation?
3t-18=4(-3- 3/4t)
3(1)-18=4(-3- 3/4*(1))
3-18 = 4(-3-3/4)
-15 = 4(-3.75)
-15 = -15 YES
suppose that the interior angles of a convex heptagon are seven numbers each angle being 1 degree larger than the angle just smaller than it what is the measure of the fourth largest angle
Since we know that the heptagon is convex, all of its interior angles are less than 180 degrees. Let's call the smallest angle x degrees.
According to the problem, the other six angles are each 1 degree larger than the angle just smaller than it. This means the second angle is x+1, the third angle is x+2, and so on, until we get to the seventh angle which is x+6.
We know that the sum of the interior angles of a heptagon is (7-2) * 180 = 900 degrees. So we can set up an equation:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 900
Simplifying this equation, we get:
7x + 21 = 900
Subtracting 21 from both sides:
7x = 879
Dividing both sides by 7:
x = 125.57
So the smallest angle is approximately 125.57 degrees.
To find the fourth largest angle, we need to find the value of x+3.
x+3 = 125.57 + 3 = 128.57
So the fourth largest angle is approximately 128.57 degrees.
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Sorry I didn't know what subject to put this in but Please help I really do need it u don't have to tho
Which fitness test measures the strength and flexibility of the lower back?
A.
Walk/Run test
B.
Curl ups
C.
Sit and Reach
D.
Trunk Lift
Answer:
Curl ups
Step-by-step explanation:
I'm not 100% sure, but it seems like the most logical answer to me.
Answer:
Trunk Lift
Step-by-step explanation:
Find (f o g)(x) and (g o f)(x). g(x) = x + 5 ; f(x) = 2x.
Answer:
The answers are
f
∘
g
(
x
)
=
2
x
2
−
4
x
−
3
And
g
∘
f
(
x
)
=
(
2
x
−
3
)
(
2
x
−
5
)
Explanation:
f
(
x
)
=
2
x
−
3
g
(
x
)
=
x
2
−
2
x
=
f
(
g
(
x
)
)
=
f
(
x
2
−
2
x
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=
2
(
x
2
−
2
x
)
−
3
=
2
x
2
−
4
x
−
3
g
∘
f
(
x
)
=
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(
f
(
x
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)
=
g
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2
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−
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(
2
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2
−
2
(
2
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=
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2
x
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(
2
x
−
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−
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)
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2
x
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)
(
2
x
−
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f
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g
(
x
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≠
g
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(
x
)
Step-by-step explanation:
I search them on goggle..and that's the answer...
PLEASE EXPLAIN……………………..
The range of the function is y ≥ -2 so , correct option is option c
What is range of a function ?Mathematical functions can be compared to vending machines. They provide some cans or biscuits in exchange for the money provided as input. Similar to this, functions take a set of input numbers and produce a set of results. One may argue that everything in actual life can be formulated and resolved with the aid of functions. It is impossible to avoid the fact that functions are of enormous importance in our daily lives. The mathematical model of almost everything in real life, from building design and architecture to mega skyscrapers, requires functions. One feature that can be used to describe a function is its domain and range.
CalculationThe graph of the range of the given function is attached below .
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What doee this mean in Zybook?
Complete this statement to increment y:
y = _____
A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight... (more down below)When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.(a) Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight. (b) Use a trigonometric function to write an equation involving the unknown quantity.
h =(c) What is the height of the streetlight?
______ ft
b) h = \(tan \theta\) x 17 is the required equation.
c) The height of the streetlight is 20.4 ft.
The height of the person is 6 ft.
The distance at which the person is standing from the streetlight = 12 ft.
The distance at which the person's shadow appears = 5ft.
a) Hence, we can make the following diagram.
The right triangle below gives a visual representation of the problem. It shows the known quantities and a variable 'h' to indicate the height of the streetlight.
b) Let's now find an equation trigonometric function involving the unknown quantity 'h'.
from the below diagram, we can say that,
\(tan \theta\) = h/base
base= 12+5=17
hence we have, \(tan \theta\) = h/17
h = \(tan \theta\) x 17 is the required equation.
c) Now we have to find the height of the streetlight.
firstly let's find the value of \(\theta\),
\(\theta\) = tan 6/5.
\(tan^{-1}\)(6/5) = 50.2°
hence, tan 50.2 = h/17
1.20 = h/17
h= 1.20 x 17
h= 20.4 ft.
Hence, the height of the streetlight is 20.4 ft.
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Y = 1/2x + 6
Y = -2x + 3
Y= 1/2x + 3
Y= -1/2x + 3
Answer:
y=-1/2x+3
Step-by-step explanation:
it has a negative slope and it's not that steep which is why the slope isnt 2. also the first one is wrong because the y-intercept is 3
PLEASE HELP,, MARKING BRAINLIEST!!
What is the scale factor?
Answer:
Scale factor: 3/2
Step-by-step explanation:
ABCD is similar to DEFGWe need to find DEFG from ABCDIf we multiply values on ABCD by 3/2, then we get DEFGSo, the scale factor is 3/2Consider ∮
C
z
sinz
dz where C is ∣z∣=1. Illustrate in details how to solve this with ONE method. Pick one that you have learned in class.
We can use the Cauchy-Riemann equations to show that the integral is equal to 0. The Cauchy-Riemann equations state that if f(z) = u(x, y) + iv(x, y) is a complex analytic function, then u_x = v_y and u_y = -v_x. In the case of the integral ∮_C z sin z dz, the function f(z) = z sin z is analytic, so the integral is equal to 0.
The Cauchy-Riemann equations state that if f(z) = u(x, y) + iv(x, y) is a complex analytic function, then u_x = v_y and u_y = -v_x. In the case of the integral ∮_C z sin z dz, the function f(z) = z sin z is analytic, because
f_x = sin z + z cos z = v_y
f_y = cos z + z sin z = -v_x
Therefore, the integral ∮_C z sin z dz is equal to 0.
To see this, we can use the following steps:
Let f(z) = z sin z.
Show that f(z) is analytic by verifying that u_x = v_y and u_y = -v_x.
Use the Cauchy-Riemann equations to show that ∮_C z sin z dz = 0.
Here is a more detailed explanation of step 2:
To show that u_x = v_y, we can use the product rule and the chain rule:
u_x = (sin z)_x + (z cos z)_x = cos z + z sin z = v_y
To show that u_y = -v_x, we can use the product rule and the chain rule:
u_y = (sin z)_y + (z cos z)_y = -cos z + z sin z = -v_x
Therefore, we have shown that f(z) = z sin z is analytic, which means that ∮_C z sin z dz = 0.
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Emily pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours,x,she can use the boat.
Answer:
2
Step-by-step explanation:
Witch multiplication equation describes the picture of third pies below
answer:there is no picture
(05.05 MC)
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 6 inches? (5
points)
Answer:
h = 8 inches
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the height )
given A = 24 and b = 6 , then
\(\frac{1}{2}\) × 6 × h = 24 , that is
3h = 24 ( divide both sides by 3 )
h = 8 inches
Use the given measures of the triangles to write the indicated trigonometric value. Then find the measure of the indicated angle to the nearest 100th of a degree
Answer: read the comments for extra added more accurate information this was in the comments and by HOZI3RSMUS3 so it’s not mine
We're suppose to measure the trigonometric values of the triangles and the values of indicates angles .For that,We need to know that,Sin θ = side opposite to angle θ / HypotenuseCos θ = side adjacent to angle θ / HypotenuseTan θ = side opposite to angle θ/side adjacent to angle θNow,In the first triangle,We're provided by,side opposite to angle θ =QR =24side adjacent to angle θ = PR = 10Hypotenuse = PQ = 26So,Sin P = 24/26Cos P = 10/26Tan P = 24/10m∠P = sin p° = 24/26m∠P= sin^-1(24/26)m∠P= 67.38 °In the second triangle,We're provided by,side opposite to angle θ =MO =9side adjacent to angle θ = NO = 40Hypotenuse = MN= 41So,Sin N= 9/41Cos N= 40/41Tan N= 9/40m∠N = sin N° = 9/41m∠N= sin^-1(9/41)m∠N= 12.68°In the third triangle,We're provided by,side opposite to angle θ =AC =15side adjacent to angle θ = AB = 8Hypotenuse = BC = 17So,Sin B = 15/17Cos B = 8/17Tan B = 15/8m∠B = sin p° = 15/17m∠B= sin^-1(15/17)m∠B= 61.93°In the fourth triangle,We're provided by,side opposite to angle θ =BC =8side adjacent to angle θ = AC = 6Hypotenuse = AB = 10So,Sin A = 8/10Cos A = 6/10Tan A = 8/6m∠A = sin p° = 8/10m∠A= sin^-1(8/10)m∠P= 53. °*53.13°
Step-by-step explanation:
what is this helppp 1/2 + 1/5
Answer:
\( \frac{1}{2} + \frac{1}{5} \\ \\ = \frac{5 + 2}{10} \\ \\ = \frac{7}{10} \)
Answer:
0.7 or 7/10
Step-by-step explanation:
1/2 is 0.5 and 1/5 is 0.2 which is 0.7 when added together or 7/10