show that: (1-sin x)/(cos x)=(sec x - tan x)
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This is the step-by-step explanation
Related Questions
An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:
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Answer:
the speed value that the radar equipment outputs.
Step-by-step explanation:
A random variable in an experiment is also (and most times the case) called a dependent variable. In this scenario, the random variable would be the speed value that the radar equipment outputs. This is because this value depends on the actual velocity of the cars that pass by the equipment. The faster the car is moving when it passes the radar the higher value will be displayed on the equipment. Therefore, depending completely on the vehicles.
The ratio of the number of men to the number of women in a room is 7 : 4. There are 9 more men than women. How many people are there in the room?
Answers
Answer:
33 people
Step-by-step explanation:
7x = 4x + 9
3x=9
x=3
7(3) = 21
4(3) = 12
33 people
A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
pharmaceuticals. What are his annual total earnings?
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100% = $420,000
3.5% = 3.5/100 × 420,000
= $ 14,700
Commission he earned = $14,700
Annual total earnings= $50,000 + $14,700
= $ 64,700
Answer:
14,500
Step-by-step explanation:
Translate the following statement into an inequality. Use x as the variable.
A girl could spend at most $23 on a gift.
Choose the correct answer below.
A x < 23
B X323
C X>23
D x >223
-
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the area of a square is 73.96 m^2 .calculate the length of its side.
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give me the answer step by step I know its answer is 8.6 m but I need its formula
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It a bc i said so hahahahaha
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2
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Answer: I think it’s f(x)=2x+2
Step-by-step explanation:
pls help with number 7. and 8.
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Answer:
One pair of gloves cost $5.89
Step-by-step explanation:
You just have to divide 29.45 by 5 and that gives you how much one pair of gloves cost
What's another way to express the expression [4(17) + 3(25)] x 5?
Answers
Answer:
715
Step-by-step explanation:
[4(17) + 3(25)] x 5
(68+3*25)*5
(68+75)*5
143*5
175
is 0.03 greater than 0.5
Answers
Answer:
no
Step-by-step explanation:
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let
x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
Required:
Using the decision variables x4 and s4, write a constraint that sets next week.
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Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
Step-by-step explanation:
The cost for the four cylinder production line is [tex]C_4 = \$2,100[/tex]
The cost for the six cylinder production line is [tex]C_6 = \$3,500[/tex]
The manufacturing cost for each four cylinder is [tex]M_4= \$13[/tex]
The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]
The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]
The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
In two hours, Christopher can read 150 pages. At this rate, how many pages can Christopher read in three hours?
WILL RECIEVE BRAINLIST AND EXTRA POINTS
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The expression 34−10+3+2=78 is an example of
Answers
Answer: simplifying expression
Step-by-step explanation:
write in standard form -4 + y +2x = 0
Answers
Answer:
the answer is 2x+y=4
Step-by-step explanation:
2x+y=4
Answer:
y = -2x + 4
Step-by-step explanation:
Jeff hikes 1/2 mile every 1/4 hour. Lisa hikes 1/3 miles every 1/6 of an hour. How far does each hike in 1 hour?
Answers
Answer:
They both hike 2 miles in 1 hour
Step-by-step explanation:
Jeff hikes 4 miles in 2 hours. so that means in 1 hour he hikes 2 miles. Lisa hikes the same amount of miles in an hour as Jeff
is |-4| equal to |4|?
Answers
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
What is the answer to thus ...?
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i need help with this please
Answers
Answer:
y = - 1 and x = 8
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the lune passes through.
The line passes through (8, - 1) with y- coordinate - 1, thus
y = - 1 ← equation of horizontal line.
--------------------------------------------------------------------
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (8, - 1) with x- coordinate 8 , thus
x = 8 ← equation of vertical line
Picture attached below. Please help
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Answer:
饿着嘎嘎嘎嘎嘎嘎嘎嘎嘎嘎嘎；嘎嘎嘎嘎嘎嘎嘎嘎反反复复
i’ll literally give you 45 points but please answer it correctly i have a D in math class
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I wrote out the answers on top of the sheet. Hope this helped!
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?
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Answer: 30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
-3(x + 2) = 16 - x
I need helpppp ASAP
Answers
Answer:
x = -11
Step-by-step explanation:
-3(x + 2) = 16 - x
-3x - 6 = 16 - x
-22 = 2x
Divide
-22/2 = x
-11 = x
PLZPLZPLZPLZHELPHELPHELPASAP!!
Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B.
1. 4 inches by 2.5 inches
2. 15 inches by 10 inches
3. 24 inches by 15 inches
4. 9 inches by 6 inches
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Answer:
uhhhhhhhhhhhhhhhhhhh
How much mixed spice will she need for 6 spice
Answers
Answer:
who
Step-by-step explanation:
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answers
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
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Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%
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Answer: D: 14.29%
Step-by-step explanation:
Given: Total movies = 7
Categories: Comedy = 2, Action = 3 ,horror = 2
Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]
[tex]=\dfrac{2}{7}[/tex]
Remaining DVDs =6
Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]
[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]
In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]
Hence, the correct option is D: 14.29% .
Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!
Answers
In decimal form, this is y = -1.5x+3
=========================================
Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
--------------------------
We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
--------------------------
The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
Answer:
[tex]y=-\frac{3}{2} x+3[/tex]
Step-by-step explanation:
I don't really know how to explain this, but I hope the graph helps some.
I hope this helps you! (✿◕‿◕✿)
A proposed change in income tax suggests charging 20% on a person's income up to $30,000 and then 40% on any
income above that. If a person has an income of $47,000, what will be their income tax under the proposal?
Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Provide your answer below
Answers
Answer:
If you get tax you should know the details of the what the tax is FOR
Step-by-step explanation:
Not enough details in question
Answer:
Step-by-step explanation:
Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is
Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.
A=1/2h(a+b), solve for a
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Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
2A = h(a + b)
Divide by h on both sides to get:
2A/h = a + b
Subtract b from both sides to get:
(2A/h) - b = a
Plzz help I don’t get it
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PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75