Answer:
Phương trình lượng giác cơ bản: lý thuyết, cách giải, bài tập
Phương trình sin x = sin α, sin x = a.2. Phương trình cos x = cos α, cos x = a.
3. Phương trình tan x = tan α, tan x = a.
4. Phương trình cot x = cot α, cot x = a. ...
5. Phương trình bậc nhất đối với một hàm số lượng giác. ...
6. Một số điều cần chú ý:
An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the shelter has 165 animals. If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?
Answer:
5x less than 300 - 165
Step-by-step explanation:
It will take 27 days to take in animals without exceeding its occupy limit.
What is algebraic expression ?An expression which is made up of variables and constants , along with algebraic operation (addition , subtraction etc ) is called Algebraic expression.
According to the question :
165 + (x) 5 = 300
5x = 135
x = 27
Hence , it will take 27 days to occupy the limit
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-3 , 1 , 5 , 9 , 13
find the 11th term of this sequence
show your working
Answer:
a₁₁ = 37
Step-by-step explanation:
There is a common difference between consecutive terms, that is
1 - (- 3) = 5 - 1 = 9 - 5 = 13 - 9 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 4 , then
a₁₁ = - 3 + (10 × 4) = - 3 + 40 = 37
Brooke and Lamont ran a half marathon Brooke finished in 1 hour 50 minutes Lamont finished in 100 minutes who had the faster time
Answer:
Brooke = 1 hr 50 min
Lamont = 100 min = 1 hr 40 min
Because 60 min = 1 hr
Lamont was faster
Hope this helped
| How many different arrangements of the word
PARRAMATTA are possible?
Answer:
10
Step-by-step explanation:
ME AYUDAN PORAVOR 1. Relaciona cada ecuación con su solución.
(Se deben presentar las operaciones correspondientes al finalizar este punto)
a. 5 + x = -5 ( ) 27
b. -17 + x = 0 ( ) – 5
c. 30 + x = 0 ( ) 30
d. x + (-27) = 0 ( )17
e. x + (-30) = 0 ( ) – 30.
Answer:
a. 5 + x = -5 (Subtraction) 0.
b. -17 + x = 0 (Addition) 17.
c. 30 + x = 0 (Subtraction) -30.
d. x + (-27) = 0 (Addition) 27.
e. x + (-30) = 0 (Addition) 30.
Step-by-step explanation:
In this exercise, students are required to match each equation with its solution. (The corresponding operations must be presented at the end of this point
a. 5 + x = -5 (Subtraction) 0.
x = -5 - 5
x = 0
b. -17 + x = 0 (Addition) 17.
x = 0 + 17
x = 17
c. 30 + x = 0 (Subtraction) -30.
x = 0 - 30
x = -30
d. x + (-27) = 0 (Addition) 27.
x - 27 = 0
x = 0 + 27
x = 27
e. x + (-30) = 0 (Addition) 30.
x - 30 = 0
x = 0 + 30
x = 30
A ladder that is 10 feet long leaning against a wall perpendicular to the ground. The point at which the ladder touches the walk is 8 feet above the ground. How far away is the base of the ladder from the bottom of the wall ?
Answer:
6 feet
Step-by-step explanation:
Gonna use the Pythagorean Theorem: a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
Subtract both sides by 64
a² + 64 = 100
-64 -64
a² = 36
Square root both sides
√a² = √36
a = 6 = length between bottom of the wall to the base of the ladder
Please help right now (30 points if you’re interested) The table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. Find equivalent ratios when the number of books ordered is 1,2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin explain how to plot three equivalent ratios on a coordinate grid.
The equivalent ratios are: (1, 2), (2, 4), and (3, 6)
The graph can be plotted on a coordinate grid as shown in the diagram attached below.
Recall:
Ratio between two quantities, x and y, can be represented by the equation, y = kx, where k is the constant of proportionality.k = y/xLet x = number of books
y = cost (dollars)
Using any of the ordered pairs from the table, say, (7, 14), find k:
k = y/x = 14/7 = 2
Write the equation by plugging in the value of k into y = kx
y = 2x
Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:
When x = 1:
y = 2(1) = 2 --> (1, 2)
When x = 2:
y = 2(2) = 4 ---> (2, 4)
When x = 3:
y = 2(3) = 6 ---> (3, 6)
The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.
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please help me out (geometry)
Answer:
x = 15
Step-by-step explanation:
2x+10+4x+80=180
or, 2x+4x=180-80-10
or, 6x=90
or, x=15
Answered by GAUTHMATH
Find the value of x rounded to the nearest tenth.
Answer:
The answer to the equation is C
A garden that is 103 of an acre is to be divided into 5 equal-size areas. What is the size of each area? ( fractions )
Answer:
2/3
Step-by-step explanation:
10 / 3 * 1/5 = 2/3
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.9.
Assuming the events are independent, what is the probability that Dan buys a sandwich
and gets the bus?
Answer:
0.18
Step-by-step explanation:
Find the probability that both independent events occur by multiplying the individual probabilities by each other:
0.2(0.9)
= 0.18
So, the probability is 0.18
Anyone good at Ks3 maths
Answer:
[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 56 \times 3 \frac{1}{2} }} \\ = { \tt{196 \: miles}}[/tex]
ASAP PLEASE HELPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEE
Answer:
-2/5 is the answer
I hope this will help you
Answer:
-2/5
Step-by-step explanation:
Just add the top numerator together -4 + 2 = -2
The range of cells in column D and rows 1 to 10 is represented as:
1:10 D1:D10 D:D
Answer:
how?
Step-by-step explanation:
I didnt get question
given c(4,3) d(-4,-3) and cd is the diameter of the circle, find the radius of the circle
Answer:
use the distance formula to find the diameter of the circle. From there, you can divide the diameter in half to find the radius of the circle
Step-by-step explanation:
so... the distance formula is...
d = [tex]\sqrt{(x_{2} - x_1)^{2}+(y_2 - y_1)^{2} }[/tex]
so...you just substitute the values into the equation
d = [tex]\sqrt{(-4-4)^2 + (-3-3)^2}[/tex]
d = [tex]\sqrt{64+36}[/tex]
d = 10
so...that means the diameter is 10
to find the radius you do 10/2 because radius is half of the diameter
so the radius is 5
hope that helps...that took so long to write out
A number cube is rolled 14 times and the results are recorded in the table.
What, in simplest form, is the experimental probability that the number cube shows 4?
A. 0
B. 1/6
C. 2/7
D. 5/14
Answer:
b
Step-by-step explanation:
The experimental probability that the number cube shows 4 is 2/7.
What is an experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
Given that, a number cube is rolled 14 times, we need to determine the experimental probability that the number cube shows 4,
The formula to calculate the experimental probability is:
P(E) = Number of times an event occurs/Total number of times the experiment is conducted
P(E) = 4/14 = 2/7
Hence, the experimental probability that the number cube shows 4 is 2/7.
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A 12-foot ladder is leaning against the side of a building. The bottom of the ladder is 5 feet from the wall. How many feet above the ground does the ladder touch the wall?
A. 119−−−√ feet
A. square root of 119 feet,
B. 7 feet
B. 7 feet
C. 13 feet
C. 13 feet
D. 134−−−√ feet
Answer:
Option A, √119
Step-by-step explanation:
Let the height be x foot
12^2=5^2+x^2
or, x = ±√119
since distance can't be negative, so it's x = √119
Answered by GAUTHMATH
pls help me w this question!!
Answer:
v = sqrt(473)
Step-by-step explanation:
v^2 = u^2 +2as
Let u = 9 a = 7 and s = 28
v^2 = 9^2 +2(7)(28)
v^2 = 81 + 392
v^2 = 473
Take the square root of each side
sqrt(v^2) = sqrt(473)
v = sqrt(473)
Is the aspirin produced by the World’s Best Pharmaceutical Company better than that of a competitor at relieving headaches? 200 headache sufferers are chosen at random. Migrained Testing Service administers the experiment and provides the results evaluation. Three levels are made: participants receive contents from Bottle A, Bottle B, or Bottle C. Other than the fact that one bottle contains placebo aspirin, no other information is given to the testing service regarding the bottles’ contents.
Complete question is;
Determine whether the experiment is blind or double blind.
Is the aspirin produced by the World’s Best Pharmaceutical Company better than that of a competitor at relieving headaches? 200 headache sufferers are chosen at random. Migrained Testing Service administers the experiment and provides the results evaluation. Three levels are made: participants receive contents from Bottle A, Bottle B, or Bottle C. Other than the fact that one bottle contains placebo aspirin, no other information is given to the testing service regarding the bottles’ contents.
a) blind study
b) double blind study
C) Neither
Answer:
Double blind study.
Step-by-step explanation:
We are told that participants receive contents from Bottle A, Bottle B, or Bottle C.
However, the testing service only knows that one bottle contains placebo aspirin but they don't know the other contents nor which of the participants is taking the one with placebo aspirin.
Thus, this is a double blind experiment because neither the participants nor the testing service have knowledge of who is taking the bottle that contains placebo aspirin unlike a blind experiment where the testing service will know which participants got the bottle containing aspirin.
Madam Chong's mass is 72 kg. After participating in a fitness programme, her mass decreases at a rate of 3 kg per month. Find the minimum number of months that Madam Chong has to participate in the programme so that her mass becomes less than 52 kg. (Give your answer to the nearest whole number.)
Use the graph to find the factorization of x2 - 5x + 4.
10
y = x2.5x + 4
-10
10
10
O A. (x + 2)(x - 2)
B. (x - 1)(x-4)
O C. (x + 2)(x+4)
O D. (x + 1)(x + 4)
Answer: B. (x - 1) (x - 4)
Concept:
Here, we need to know the idea of zeros.
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
By definition, the factored form of quadratic equations is basically their zeros.
STEP ONE: Find the zeros / x-intercept of the graph
The grid number is 2 per grid as 5 grids are 10 units.
The first intercept is between the y-axis and the first grid.
2 / 2 = 1The second intercept is on the second grid.
2 × 2 = 4STEP TWO: Plug the zeros into factorization form
Factor form = (x - x₁) (x - x₂)
x₁ = (1, 0)
x₂ = (4, 0)
Factorization of x² - 5x + 4 = (x - 1) (x - 4)
Hope this helps!! :)
Please let me know if you have any questions
Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
Answer:
see below
Step-by-step explanation:
-1/2 * (6x + 10) = 13
Distribute -1/2
–3x – 5 = 13
Add 5 to each side
-3x-5+5 = 13+5
–3x = 18
Divide each side by -3
-3x/-3 = 18/-3
x = -6
Solve the equation 2sin x cos x = cos x, for 0° < x≤ 90°
Answer:
2sinx.Cosx=cosx
2sin90°.cos90°=cos90°
2×1.0=0
0=0
i know it’s kinda all hard to see. i have many more questions like this and i can’t do graphs to save my life.. pls help !!
Answer: D
Step-by-step explanation:
I need help with this, I can’t figure out the answer…
Suppose the line y = 2.8333x - 22.4967 describes the relation between the club-head speed (in miles per hour), x and the distance a golf ball travels (in yards), y.
(a) Predict the distance a golf ball will travel if the club-head speed is 100 mph.
(b) Suppose the observed distance a golf ball traveled when the club-head speed was 100 mph was 265 yards. What is the residual?
(c) The golf ball will travel 260.8 yards. (Round to the nearest tenth as needed.)
(d) The residual is:_________ (Round to the nearest tenth as needed.)
Answer:
c) The golf ball will travel 260.8 yards.
d) Hence the residual is 4.2 yards.
Step-by-step explanation:
c) y' = 2.8333x - 22.4967
Now the golf ball will travel [tex]= 2.8333\times100 - 22.4967[/tex]= 260.8 yards
here y'= 260.8 yards.
d) The residual is : y - y' = 265 - 260.8 = 4.2 yards.
Answer:
a) [tex]y=260.8333~yd[/tex]
b) [tex]\Delta d=4.1667~yd[/tex]
c) [tex]y=260~yd[/tex]
d) [tex]\Delta y'=0.8333~yd[/tex]
Step-by-step explanation:
Given:
equation of line, [tex]y=2.8333x-22.4967[/tex]
x = club-head speed (in miles per hour)
y = the distance a golf ball travels (in yards)
a)
x = 100 mph
Then the distance travelled by the ball:
(put the given value of x in the above eq.)
[tex]y=2.8333\times 100-22.4967[/tex]
[tex]y=260.8333~yd[/tex]
b)
If the observed distance in the above case comes out to be 265 yards then the residual value will be:
[tex]\Delta d=265-260.8333[/tex]
[tex]\Delta d=4.1667~yd[/tex]
c)
From the calculated value when rounding it to the nearest tenth:
[tex]y=260~yd[/tex]
d)
The residual on rounding the calculated value to the nearest tenth:
[tex]\Delta y'=260.8333-260[/tex]
[tex]\Delta y'=0.8333~yd[/tex]
please help me divide this fractions, showboat work.
O_O
solution given;
36:5/5
38:86/69
To divide fractions, you basically just multiply the first fraction by the reciprocal of the second. To find the reciprocal, you just flip the numerator and the denominator.
For number 36, you have 2/3÷8/15. To solve this, you just multiply 2/3 by 15/8.
2/3×15/8 is 30/24, which is 5/4 or 1 1/4.
To answer the second problem, you have to convert the mixed numbers to improper fractions.
7 1/6 as an improper fraction is 43/6. 5 3/4 as an improper fraction is 23/4.
Do the same procedure; 43/6×4/23 is 86/69 or 1 17/69.
Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel
PLEASE SHOW WORK !!
Answer:
I'm not sure
Step-by-step explanation:
I'll come back later to help
Researchers want to see if playing with a specific toy increases the verbal abilities of young children. One group of children plays with the new toy for 4 hours a week for 4 weeks and is given a vocabulary test at the end of the experiment. The other group of matched pairs follows the same schedule, but these children play outside instead of with the toy. The children who play outside are the _____ group.
Answer:
Hence the children who play outside are the Control group.
Step-by-step explanation:
Researchers want to ascertain if twiddling with a selected toy increases the verbal abilities of young children. One group of youngsters plays with the new toy for 4 hours every week for 4 weeks and is given a vocabulary test at the top of the experiment. the opposite group of matched pairs follows an equivalent schedule, but these children play outside rather than with the toy. the children who play outside are the Control group.
Here the One group of children who plays with the toy is considered an experimental group.
What is the value of X?
Answer:
x=2
Step-by-step explanation:
A line that intersects a circle in two points is called a secant line, and this is the case for both line DE and AE.
For two secant lines that intersect outside of the circle, such as the ones here, we can say that
CE * DE = BE * AE
Therefore, we need to then define these lines.
CE is x+4, BE is x+1, AE = (BE + AB) = 11+x+1 = 12+x, and DE = (CE + DC) = 1+x+4 = 5+x
We then have
(x+4) * (5+x) = (x+1) * (12+x)
expand
5x + x² + 20 + 4x = 12x+x²+12+x
x²+9x + 20 = x²+13x+12
Next, we want to congregate all values to one side so we can solve for x. This can be done by subtracting both sides by (x²+13x+12) to get
-4x + 8 = 0
subtract 8 from both sides to isolate the x and its coefficient
-4x = -8
divide both sides by -4 to isolate the x
x = 2
