Answer:
B and C
Step-by-step explanation:
ANSWER AND GET 30 POINTS!!! ASAP!!!
Which of the following are trigonometric identities? Select all that apply. (3)
What is a simplified form of the expression sec^2 x-1/sinx secx?
Answer:
1. A, E
2. C
Step-by-step explanation:
1. tan theta = 1/cot theta
sec theta = 1/ cos theta
2. Sec^2x-1 = tan^2x
sinx sec x = tanx
= tan^2x/tanx = tan x
The identities are (a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Part A: The trigonometry identitiesAs a general rule, we have:
tan(θ) = 1/cot(θ)
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
sin^2(θ) + cos^2(θ) = 1
The above means that:
(a) tan(θ) = 1/cot(θ), (c) 1 - sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities
Part B: The trigonometric proofWe have:
[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]
Express the numerator as tan^2(x)
[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]
The product sin(x)sec(x) = tan(x).
So, we have:
[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]
Divide
tan(x)
Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)
Read more about trigonometry ratios at:
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Dionne can fold 175 packing boxes in 50 minutes. Elias can fold 120 packing boxes in 40 minutes. Use unit rates to find how much time it will take each person to fold 210 packing boxes. Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
Answer:
Dionne can fold 210 packing boxes in 60 minutes
Elia can fold 210 packing boxes in 70 minutes
Step-by-step explanation:
Dionne:
175 packing boxes in 50 minutes
Boxes folded per minute = Total packing boxes / number of minutes
= 175/50
= 3.5 packing boxes per minute
Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute
= 210/3.5
= 60 minutes
Dionne can fold 210 packing boxes in 60 minutes
Elias:
120 packing boxes in 40 minutes
Boxes folded per minute = Total packing boxes / number of minutes
= 120/40
= 3 packing boxes per minute
Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute
= 210/3
= 70 minutes
Elia can fold 210 packing boxes in 70 minutes
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
Alguien me ayuda tiene que ser sobre Bosques tropicales secos
Cantidad de especies
Superficie aprovechada
Área en peligro
Answer:
asd
Step-by-step explanation:
asddffffffff
Consider function f.
Which statement is true about function f?
A.
The function is continuous.
B.
As x approaches positive infinity, approaches positive infinity.
C.
The function is increasing over its entire domain.
D.
The domain is all real numbers.
Answer:
Step-by-step explanation:
Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0: 2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.
Now do the same thing with
-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4. Thus, this function is not continuous at x = 2.
We must reject statement A.
Statement B: as x increases without bound, (1/2)x + 3 also increases without bound. This statement is true.
Statement C: False, because the quadratic -x^2 - 4x + 1 has a maximum at
x = -b/[2a], or x = -(-4)/[-2], or x = -2
Statement D: True: there are no limitations on the values of the input, x.
The statement B is as x approaches positive infinity f(x) approaches positive infinity is true
What is the definition of the limit?A point or level beyond which something does not or may not extend or pass.
We have to check for continuity by evaluating [tex]2^x[/tex] and [tex]-x^2 - 4x + 1[/tex]
at the break point x = 0
[tex]2^0[/tex]is 1 and [tex]-x^2 - 4x + 1[/tex] is also 1,
So these two functions approach the same value as x approaches 0.
Now do the same thing with
[tex]-x^2 - 4x + 1[/tex]and [tex](1/2)x + 3[/tex] at x = 2;
The first comes out to -11 and the second to 4.
Thus, this function is not continuous at x = 2.
We must reject statement A.
for B we have as x increases without bound,
[tex](1/2)x + 3[/tex]
also increases without bound.
Therefore the statement B is true statement.
Statement C is False,
because the quadratic[tex]-x^2 - 4x + 1[/tex] has a maximum at
[tex]x = -b/[2a],[/tex]
[tex]x = -(-4)/[-2],[/tex]
[tex]x=-2[/tex]
There are no limitations on the values of the input, x.
D is also false negative number are in real numbers.
Therefore,the statement B is as x approaches positive infinity f(x) approaches positive infinity is true
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Todd can run 1/2 a mile in 1/12 of an hour. what is todd’s rate in miles per hour?
Answer:
Step-by-step explanation:
(1/2 mile)/(1/12 hour) = 12/2 = 1 mph
How long it takes someone to walk a trail depends on the length of the trail, which you did not provide. The formula is distance = rate*time, so time = distance/rate. You know the rate = 1 mph
The area of a rectangular carpet is 96 square feet. The length of the carpet is 12 feet. What is the width of the carpet?
A. 8 feet
B. 12 feet
C. 24 feet
D. 36 feet
Answer:
A. 8 feet
Step-by-step explanation:
96 = 12 (x)
96/12 = x
8 = x
a record impact books at a rate of 48 books every 2 minutes how many minutes do the worker need to unpack 168 books?
Answer:
7minutes
Step-by-step explanation:
so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7
PLEASE HELP I WILL CHOOSE BRAINLIEST!
Answer:
x=9
Step-by-step explanation:
Use the triangle Similarity theorem. First, make a proportion.
--------------------------------------------------------------------------------------------
21 / 77 is equal to 30 / 11x + 11 then solve.
Step 1: Cross-multiply.
21*(11x+11)=(30)*(77)
231x+231=2310
Step 2: Subtract 231 from both sides.
231x+231−231=2310−231
231x=2079
x=9
HOPE THIS HELPS!
What is the lateral area and surface area? If you amswer correctly i will mark it as brainliest
Answer:
Lateral area:
L = πdh = 3.14*12*10 = 376.8 in²Total surface area:
S = L + 2*πd²/4S = 376.8 + 3.14*12²/2 = 602.9 in² (rounded)what is the circumference area?
1/5 + 1/6 in fraction formm
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
The equation y=36x represents the relationship between x the number of yards and y the number of inches.
Which ordered pair represents the number of yards and number of inches?
(2,72) (4,40) (5,180) (40,4) (72,2) (180,5)
Answer:
(2 , 72) and (5 , 180)
Step-by-step explanation:
Options A (2 , 72) and C (5 , 180) will be the correct options.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
we are Given equation representing the relation between two variables 'x' and 'y' is,
y = 36x
Here, y = yards and x = inches
Now Satisfy this equation with each point given in the question;
Option A. (2, 72)
72 = 36 × 2
72 = 72
This is True
Option B. (4, 40)
40 = 36 × 4
40 = 144
This is False
Option C. (5, 180)
180 = 36 × 5
180 = 180
This is True
Option D. (40, 4)
4 = 36 × 40
4 = 1440
This is False
Option E. (72, 2)
2 = 36 × 72
2 = 2592
This is False
Option F. (180, 5)
5 = 36 × 180
5 = 6480
This is False
Therefore, Options (A) and (C) will be the correct options from all the other
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If the line containing the points in the table is plotted on a coordinate system, what does the
graph look like?
Answer:
90
Step-by-step explanation:
lauren spent $3.26 for lunch on Tuesday she spent $1.98 on Wednesday and $2.74 on Thursday list the price in ascending order
Answer:
1.98, 7.74, 3.26
Step-by-step explanation:
I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.
Hope this helped :)
Which transformation can be used to prove that this parallelogram is symmetrical?
please help me do it I only have 3 min
Answer:
1 A. 1080°
1 B. 142°, 74°,74°, 125°, 125°
Step-by-step explanation:
1A.
The sum of the measure of the interior angle of a convex octagon is given as
S = (n-2)180°................. Equation 1
Where n = 8 sides
S = (8-2)180°
S = 6×180°
S = 1080°
1B.
The sum of the angle of a convex pentagon is given as
S = (5-2)180°
S = 3×180°
S = 540°
From the diagram,
2x+142+2x+(3x+14)+(3x+14) = 540
10x+170 = 540
10x = 540-170
10x = 370
x = 37°
Hence,
∠H = ∠K = 2(37) = 74°,
∠M = ∠L= (3×37)+14 = 111+14 = 125°
can I please get some help and correct me if I’m wrong with number 1 and 2
Answer:
the answer on 1. is correct
number 2. is -3 not 3
This number is greater than 1 and both the square of an integer and the cube of an integer? What is the number?
Answer:
64
8² = 64
4³ = 64
A spinner with two equal sectors is spun 5 times.
What is the number of possible outcomes?
Answer: 32
Explanation: 2^5
Answer:
There are 32 outcomes that are possible
Step-by-step explanation:
image down below plz help
Answer:
A
Step-by-step explanation:
I feel strongly that it is A.
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules
Find the volume of the figure
HELP ME PLEASE IM STRUGGLING!!
Answer:
I got great news for you! I have a wonderful grade in math...
Anyway the answer is 6,318
Step-by-step explanation:
Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).
as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.
1,404+4,914=6,318
So now WALLA we have our answer.
...help me pls with this work i'm timed
Answer:
10 cm
Step-by-step explanation:
multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos each refrigerator weighs 250lb and each piano weighs 425 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 11 pianos overload the truck? Explain.
Answer:
Step-by-step explanation:
7600 ≥ 250r+425p
7600 ≥ 250(13)+425(11)
7600 ≥ 3,250+4675
7600≥7925
This statement is incorrect. Therefore no, the truck cannot transport that load
Shannon has 68 more rubber bands than Ellen. Ellen has r rubber bands. Write an expression
that shows how many rubber bands Shannon has.
68 + r
you know that shannon has 68 more, and they straight up give you the variable for ellen
A cylinder has a radius of 5 cm and a height of 8 cm. What is the volume of the cylinder in terms of π?
Answer:
The answer to the question is 80π
a gping out if bisinuess sale has the entire store marked 80./. off
Answer:
huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.
Step-by-step explanation:
Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range
Answer:
mean: 34/15=2.27
median: 2
range: highest-lowest...... 6-0=6
mid range: high + low divided by 2
6+0=6/2=3
Answer:
Mean: 2.27
Median: 2
Range: 6
Mid-range: 3
Step-by-step explanation:
The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.
2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34
There are 15 numbers in this data set.
34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)
2.27 is the mean.
-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The median is 2.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The range is the smallest number subtracted from the largest number.
6 - 0 = 6
6 is the range.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The formula for mid-range is:
Maximum value + largest value ÷ 2.
The largest value is 6.
The minimum value is 0.
6 + 0 = 6
6 ÷ 2 = 3.
The mid-range is 3.
