( 1 + sinx / cosx ) + ( cosx / 1 + sinx ) =
_________________________________
(1 + sinx)(1 + sinx)/cosx(1 + sinx)
+
(cosx)(cosx)/(1 + sinx)(cosx) =
_________________________________
(1 + sinx)^2 /cosx(1 + sinx)
+
(cosx)^2/cosx(1 + sinx) =
_________________________________
1 + 2sinx + sin^2 x/cosx(1 + sinx)
+
cos^2 x/cosx(1 + sinx) =
_________________________________
1 + sin^2 x + cos^2 x + 2sinx / cosx(1 + sinx) =
Hint : Sin^2 x + Cos^2 x = 11 + 1 + 2sinx / cosx(1 + sinx) =
2 + 2sinx / cosx(1 + sinx) =
2(1 + sinx)/cosx(1 + sinx) =
( 1 + sinx) simplifies from the face and the denominator of the fraction
2/cosx
Determine the following probability,
Meeting at least one left-handed person in nine random encounters on campus when the incidence rate is 12% (12 in 100 people are left-handed)
The probability is
(Round to three decimal places as needed.)
Hey can anyone help pls thank you !
Answer:
x = 16
Step-by-step explanation:
The angle vertically opposite (4x - 17) is also (4x - 17) , then
4x - 17 and 8x + 5 are same- side interior angles and sum to 180° , that is
4x - 17 + 8x + 5 = 180
12x - 12 = 180 ( add 12 to both sides )
12x = 192 ( divide both sides by 12 )
x = 16
Answer:
x = 16
Step-by-step explanation:
From the diagram (attached along with answer) ,
∠ABY = 8x + 5
∠ZYQ = 4x - 17
∠ABY = ∠XYQ = 8x + 5 (∵ Corresponding angles are equal)
∠XYQ + ∠ZYQ = 180° (∵ Linear pair)
[tex]=> 8x + 5 + 4x - 17 = 180[/tex]
[tex]=> 12x - 12 = 180[/tex]
[tex]=> 12x = 180 + 12 = 192[/tex]
[tex]=> x = \frac{168}{12} = 16[/tex]
#4M1735H
estimate and find the sum:
420,983 + 39,932
740,758 + 263,043=477,715
En la fabricación de un automóvil, se requiere pintarlo, secarlo y pulirlo. La compañía Motores Épsilon produce tres tipos de automóviles: el Delta, el Beta y el Sigma. Cada Delta necesita 10 horas de pintado, 3 horas de secado y 2 horas de pulido. Un Beta necesita 16 horas de pintado, 5 horas de secado y 3 horas de pulido, mientras que un Sigma necesita 8 horas de pintado, 2 horas de secado y 1 hora de pulido. Si la compañía dispone de 240 horas para pintado, 69 horas para secado y 41 horas para pulido al mes ¿Cuántos automóviles de cada tipo produce?
Answer: s=10 b=5 d=8
Step-by-step explanation:Sus tres variables son d, b, s que representan respectivamente el número de Deltas, Betas y Sigmas.
Para configurar el sistema de ecuaciones, sume el número de horas tarea por tarea. La primera ecuación será solo para la cantidad de horas dedicadas a pintar, la segunda para secar y la tercera para pulir.
La primera ecuación: cada modelo tiene una cantidad diferente de horas dedicadas a la pintura. Multiplique esa cantidad de horas por la cantidad de autos de ese modelo (sus variables d, bo c) para obtener la cantidad total de horas dedicadas a pintar todos los autos de ese modelo. Luego, ajústelo al número total de horas que la empresa pasó pintando.
10d + 16b + 8s = 240
Repita para la segunda y tercera ecuaciones y debería obtener:
10d + 16b + 8s = 240
3d + 5b + 2s = 69
2d + 3b + 1s = 41
Para ponerlo en una matriz, cree una matriz aumentada de 3x4 y conecte los números.
You bought a car for $16,800. You got a
loan a 3.75% interest. After all of your
payments you paid $19,950 for the car. How
long was your loan?
Answer:
less then a month
Step-by-step explanation:
3.75% of 16800 is 6300 wich + 16800 = 23100
Answer:
less then a month
Step-by-step explanation:
3.75% of 16800 is 6300 wich + 16800 = 23100
Which statement describes the graph
Answer:
D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.
Step-by-step explanation:
For this case, the first thing you should observe is that you have a different function in two distinct intervals.
We have then:
For [-10, 2]:
The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)
For [2, 10]:
We have a constant function whose equation is:
y = 5
Hope i helped!
HELP PLEASEEE omg
find x
Answer:
x = 1
Step-by-step explanation:
BC is similar to EF
they have similar sides with DE and BA having one tickDF and CA have two ticks angle D and angle A are the same13x - 12 = 7x - 6 is the equation
6x - 12 = -6
6x = 6
x = 1
Let's check!
13(1) - 12 = 7(1) - 6
13 - 12 = 7 - 6
1 = 1
If randomly guessing, the probability that a person can correctly guess your birthday (month and day) on the first try is 1365=0.0027. The probability that a person can correctly guess the birthday of two people in a row is (1365)2=0.0000075. You and a friend are out one night and you meet a magician who bets that she can randomly guess both of your birthdays on the first try.
QUESTION: If the magician does guess both of your birthdays, would you believe it was by pure chance, or would you believe that the magician knew your birthdays by some other means (whether that be magic, being a creepy stalker, etc.)? Explain.
Situation 2: Mark claims that his mean time for running a mile is 5.7 minutes and has a standard deviation of 0.2 minutes. This claim seems a bit fast and you want to put him to the test, so you make him run a mile. He runs the mile in 5.8 minutes, which is slower than his claim. However, if he is telling the truth, there is about a 0.31 probability, of having a time at least as high as 5.8 minutes.
Answer:
is it a random answer or are there options?
Step-by-step explanation:
A cricket team gained 10 meters during their game. Express how many meters they gained as an integer What is the opposite of that integer?
Answer:
Step-by-step explanation:
10 and -10
2. How many circles of radius 1 unit can you fit inside a circle of radius 3 units so that they
do not overlap?
3 circles of radius 1 unit can you fit inside a circle of radius 3 units so that they do not overlap
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given,
A circle of radius 3 units.
We need to find how many circles of radius 1 unit can you fit inside a circle of radius 3 units.
A radius of 1 unit means that the diameter is 2 units.
A radius of 3 units means that the diameter is 6 units.
To find this we have to divide 6 by 2
Six divided by 2 which is equal to three
6/2 = 3
So 3 circles can fit inside a circle with a radius of 3 units
Hence, 3 circles can fit inside a circle with a radius of 3 units
To learn more on Circles click:
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Find the equation of the line with slope 7 that goes through the point
(0,8). Write your answer in slope-intercept form.
A certain group of women has a 0.94% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green
color blindness?
Answer:
99.06%
Step-by-step explanation:
100.00% - 0.94% = 99.06%
Probability that a randomly selected woman does not have red/green color blindness: 99.06%
Color blindness is a condition that affects the ability to distinguish certain colors, most commonly red and green. In this problem, we are given that a certain group of women has a 0.94% rate of red/green color blindness.
Let's define the probability of having red/green color blindness as P(R), and the probability of not having red/green color blindness as P(~R). The sum of these two probabilities should equal 1, as a woman either has the condition or does not.
Step 1: Calculate the probability of having red/green color blindness (P(R)):
P(R) = 0.94% = 0.0094 (as a decimal)
Step 2: Calculate the probability of not having red/green color blindness (P(~R)):
P(~R) = 1 - P(R)
P(~R) = 1 - 0.0094
P(~R) = 0.9906 (as a decimal)
Step 3: Convert the probability to a percentage:
P(~R) = 0.9906 * 100%
P(~R) ≈ 99.06%
So, the probability that a randomly selected woman does not have red/green color blindness is approximately 99.06%.
In summary, this means that in the given group of women, about 99.06% of them do not have red/green color blindness, while approximately 0.94% do have this condition.
To know more about Probability here
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Solve the following equations, leaving your answer as a fraction where appropriate: 3(x + 12) = -4(3x – 8)
Answer:
3x+36=-12x+32
15x=-4
x=-4/15
Step-by-step explanation:
PLS MARK ME BRAINLIEST
Solve the equation p^2 - 4p = 10 by completing the square
Answer:
Step-by-step explanation:
p² - 4p = 10
add the square of half of the "b" value to each side of the equation
b/2 = -4/2 = -2
-2² = 4
p² - 4p + 4 = 10 + 4
p² - 4p + 4 = 14
(p - 2)(p - 2) = 14
(p - 2)² = 14
p - 2 = √14
p = 2 + √14
2. Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x^2+2x+7=21 The number of positive solutions to this equation is_____ The approximate value of the greatest solution to the equation, rounded to the nearest hundredth is_____.? I don't usually ask for help but it would be nice.
Answer:
The number of positive solutions to this equation is one
Step-by-step explanation:
The number of solutions of a given quadratic equation is determine by the discriminant.
Find the product, reduce answer to lowest term if necessary.
1. 1/2 of 1/2 of 36 _____
2. 1/3 of 1/3 of 9 _____
3. Find 7/9 of 81 _____
4. Four-fifths of 750 is what number _____
5. triple 4 4/5= ____
6. What is the sum of 2/5 of 20 and 1/4 of 16 _____
7. What is the difference between 1/2 of 50 and 1/3 of 60 _____
8. What is 32 more than 2/5 of 100 _____
9. 3 1/3 of 21 minus 3 1/3 of 14 ______
10. 2/5 of 15 plus 3/5 of 15 is ______
answer this pls
Step-by-step explanation:
please mark me as brainlest
4. Marcus scored 87 points in 5 games. Diana scored 153 points in 9 games. Who scored more
points per game? Show how you know.
Answer:
Marcus scored more points per game
Step-by-step explanation:
Given:
Marcus scored 87 Points in 5 games
Diana scored 153 in 9 games
To Find:
Who scored more points per game?
Solution:
To Find who scored more Have to Divide.
87 ÷ 5 = 17.5 → Marcus
153 ÷ 9 = 17→ Diana
17.5(Marcus) is 0.5 more than 17(Diana)
Therefore Marcus scored more points per game.
Please solve this asap find the segment lengh
Answer:
JL = 7.3
Step-by-step explanation:
4x - 1.3 = x + 3.2
4x - x = 3.2 + 1.3
3x = 4.5
x = 4.5/3
x = 1.5
JL = 5(1.5) - 0.2
= 7.3
Can someone explain how you get a answer for this problem?
Answer:
You Calculate the primiter to 1.5 and solve it
The product of twice a number and 6 is the same difference of 11 times a number and 8/7
Answer:
i dont understand soory
What is the distance between these points: (3,-16) and (-10,-12)
Answer:
13 points
Step-by-step explanation:
Hope this helps answer your question!
square root of 44
how do you get it
Answer:
6.633
Step-by-step explanation:
√44
= 6.633
(6²+2²)÷4−10 Can someone HElp?
Answer:
The answer is -20/3
Step-by-step explanation:
(6² + 2²) ÷ 4 - 10
36 + 4 ÷ (-6)
40/(-6) = -20/3
Thus, The answer is -20/3
-TheUnknownScientist 72
Answer:
0
Step-by-step explanation:
6^2 + 2^2 = 36 + 4 = 40 Evaluate what is in the brackets.
40/4 = 10 Divide by 4
10 - 10 = 0 Subtract 10
The answer is zero.
4(2x - 7)-2x = -10
-2
Answer:
x = 8/3
Step-by-step explanation:
Hey can somone help me please
Answer:
12.5 minutes
Step-by-step explanation:
52.5÷4.2=12.5 minutes
Answer:
12.5 minutes
Step-by-step explanation:
in a minute 4.2 liters of water come out and we have to find in how much time does 52.5 liters of water come out, since we have the value of water per minute we divide the amount of water by water per minute 52.5 divided by 4.2 equals 12.5, which gives us the answer. Hope this helps
Christian wins his track races 95% of the time. If he ran 20 races this month, how many races did he win?
95÷100of the time
if he ran 20 races rhus month
95÷100×20 =19
2x^3/3y equivalent expressions
triangle 35 degrees x 25 degrees y=?
Step 1: Find all of the angles inside the triangle
The sum of the interior angles of a triangle is 180 degrees. Therefore, 35 + 25 + x will equal 180.
35 + 25 + x = 180
60 + x = 180
x = 120
Step 2: Find y
X and Y make a straight line. A straight line is 180 degrees, so X and Y are supplementary angles. Therefore, X + Y will equal 180.
120 + y = 180
y = 60
Hope this helps!! :)
an astronaut who weighs 86 kg on earth would weigh 14 1/3 kg on moon. what is the astronauts weigh on moon written as an improper fraction
Answer:
14 x 3 = 42
42 + 1 = 43
improper fraction: 43/3
Please solve and give answer
Answer:
y=-2x+2
Step-by-step explanation:
slope intercept formula: y=mx+b
if were finding the slope intercept form we need to take 4x to the other side making the equation:
2y=-4x+4
we cant have a coefficient with y so we divide the whole inequality by 2 to eliminate 2 making our answer:
y=-2x+2