Answers
The equivalent trigonometric identity to cot²θ + 1 is cot²θsec²θ
What are trigonometric identities?Trigonometric identities are equations which contain the trigonometric ratios.
How to show the equivalent identity of cot²θ + 1?Since we have the trigonometric identity cot²θ + 1,we need to find its equivalent expression.
So, we proceed as follows
Since cot²θ + 1 = 1/tan²θ + 1 (since cot²θ = 1/tan²θ)
Now taking the L.C.M, we have that
1/tan²θ + 1 = (1 + tan²θ)/tan²θ
We know that the trigonometric identity 1 + tan²θ = sec²θ
So, substituting this into the equation, we have that
(1 + tan²θ)/tan²θ = sec²θ/tan²θ
Since cot²θ = 1/tan²θ, substituting the values of the variables into the equation, we have that
sec²θ/tan²θ = cot²θsec²θ
So, cot²θ + 1 = cot²θsec²θ
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Related Questions
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
The P-value of this test is 0.0571. What conclusion should be made?
Because the P-value of 0.0571 < α = 0.05, we reject H0. We have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 < α = 0.05, we reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Answers
Answer:
b. Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Step-by-step explanation:
EDGE 2021
I hope this helps!
Answer: Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Step-by-step explanation: EDGE 2022
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Answers
Answer:
40km
hope this helps
have a good day :)
Step-by-step explanation:
What is the best approximation for the area of this figure?
21+14. 5π units²
21+7. 25π units²
10. 5+7. 25π units²
10. 5+14. 5π units²
Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 5 comma negative 2 to negative 5 comma 1. Another segment extends from negative 5 comma 1 to 2 comma 1. A semicircle extends from 2 comma 1 to negative 5 comma negative 2. What is the area of this polygon?
28. 5 units²
34. 5 units²
37. 5 units²
40. 5 units²
6 sided polygon on a coordinate plane with vertices at (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2)
Answers
1) The best approximation for the area of this figure is 21+14. 5π units².
2) The total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) This is a hexagon with vertices at the specified coordinates on a coordinate plane.
FIGURE AND POLYGON1) The best approximation for the area of this figure is 21 + 14.5π units². The area of a semicircle with a radius of 7 is 14.5π units², and the two segments form a rectangle with an area of 21 units². Adding these two values together gives 21 + 14.5π units².
2) This closed figure can be divided into two parts: a triangle and a quarter of a circle. The area of the triangle can be found using the formula for the area of a triangle (base times height divided by 2). The base of the triangle is the length of the segment from negative 5 comma negative 2 to negative 5 comma 1, which is 3 units. The height of the triangle is the length of the segment from negative 5 comma negative 2 to 2 comma 1, which is 7 units. So the area of the triangle is (3*7)/2 = 10.5 square units.
The area of the quarter of a circle can be found using the formula for the area of a circle (pi times the radius squared). The radius of the semicircle is the length of the segment from 2 comma 1 to negative 5 comma negative 2, which is 5 units. So the area of the quarter of the circle is (pi*5²)/4 = 19.63 square units.
So the total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) A hexagon is a polygon with six sides and six angles. In this case, the hexagon is placed on a coordinate plane, with each of its vertices (or corners) located at specific x and y coordinates.
The coordinates provided are: (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2). These coordinates correspond to six points on the plane, and the hexagon is formed by connecting these points in the specified order.
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please help im lost ;math 10th grade
Answers
The outer perimeter of the figure will be 62.3 ft.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, The total outer perimeter is,
⇒ Outer perimeter of triangle = 12.2 ft + 6 ft
= 18.6 ft
And, Outer perimeter of rectangle = 14 ft + 14 ft
= 28 ft
And, Outer perimeter of semicircle = πr
= 3.14 × 10 / 2
= 3.14 × 5 ft
= 15.70 ft
Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft
= 62.3 ft
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What is the surface area?
10 yd
8 yd »
10 yd
12 yd
10 yd
Answers
A)
Find the product of
f(x)=x²-x-4 and g(x)=x+4
With process
Answers
f(x)=[tex]x^{2}[/tex]-x-4 + g(x)=x+4 = the product is with process [tex]x^2+7 x+8$$[/tex] . It is the solution of f(x) and g (x) .
What do you meant by product ?[tex]$$f(x)=x^2-x-4, g(x)=x+4: x^2+7 x+8$$$$\begin{aligned}& \text { Find } f \circ g \text { given } f(x)=x^2-x-4, g(x)=x+4 \\& f \circ g=f(g(x)) \\& g(x)=x+4 \\& =f(x+4)\end{aligned}$$$$\begin{aligned}& f(x+4): \quad x^2+7 x+8 \\& =x^2+7 x+8\end{aligned}$$[/tex]
When a number is multiplied by another number, its products can be found. Because 9 x 3 Equals 27, for instance, 27 is a product of 9 and 3. What you get when you multiply two numbers together is their product. As a result, the product of three and four is twelve, followed by five and four, and so on.
A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product. For instance, the result of multiplying 2 by 5 is 10 when the two numbers are combined. Byproducts include things like straw from grain harvesting operations, salt from desalination plants, sawdust from sawmills, and manure from feedlot operations.
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HELP PLEASE NO LINKS
Answers
Answer:
D
Step-by-step explanation:
Answer:
50 cups of water
Step-by-step explanation:
If there is 30 cups of lemin juice, you would divide it by 6 cups to see how many portions there are. There are 5 portions of it, so you would multiply the 10 cups of water by 5 and then 6 cups of lemon juice by 5.
30 cups of lemon juice and 50 cup of water is what you would get
Find the area. Round to the nearest tenth if necessary.
Answers
Answer:
575.4 sq inches
Step-by-step explanation:
you can divide this shape into:
13 x 13 square
trapezoid with bases of 13 and 30 with a height of 20
semi-circle with radius of 15
A(square) = 169
A(trapezoid) = 53
A(semi-circle) = 353.4
The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which seat would you have to sit?
Answers
Answer:
12
Step-by-step explanation:
The median is the one in the middle. For an odd number of seats, average the first and last seat numbers.
(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.
For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!
Please help quickly this is for a big test.
ES=____ units.
Round your answer to the nearest tenth.
Answers
That would be [tex] \sqrt{113} [/tex]
Kayden is deciding between two landscaping companies for his place of business.
Company A charges $55 per hour and a $125 equipment fee. Company B charges $40
per hour and a $275 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge for t hours of landscaping. Write an equation for each situation, in terms oft,
and determine which company would be cheaper if Kayden needs 13 hours of
landscaping
Answers
Answer:
A = 55t + 125
B = 40t + 275
B is cheaper for 13 hours
Step-by-step explanation:
Company A charges $55 per hour and a $125 equipment fee.
A = 55t + 125
Company B charges $40 per hour and a $275 equipment fee.
B = 40t + 275
----------------------------
For 13 hours
A = 55(13) + 125 = 840
B = 40(13) + 275 = 795
B is cheaper
Answer:
second part of the QUESTION Company B is $45 cheaper than Company A for 13 hours of landscaping.Step-by-step explanation:
Whats fifty-six thousandths in decimal form
Answers
Answer:
0.056
Step-by-step explanation:
56/1000
56 divided by 1000 = 0.056
Answer:
0.056.
Step-by-step explanation:
Find the output, y, when the input, z, is -4.
y=
-8-6 -4
8
6
a f
Y
4-
2-
do
-2-
-4-
-6+
4
6/ 8
Answers
Answer:
y = 1
Step-by-step explanation:
locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 1 ), so
when input x = - 4 the output is y = 1
I need help asap deadline 1600
Answers
Can u please help? .
Answers
Answer:
y = -3x -27
Step-by-step explanation:
Parallel lines have the same slope. So the slope will be -3
We need to solve for the y-intercept. Us the x and y values from the point (-6,-9) to find the y-intercept
m = -3 given
y = -9 from the point( -6,-9)
x = -6 from the point (-6,-9)
y = mx + b substitute in what you know and solve for b
-9 = (-3) (-6) + b
-9 = 18 + b Subtract 18 from both sides
-9 -18 = 18 - 18 +b
-27 = b
The equation of the line is y = -3x -27
32 gallons of water to wash 4 loads of dishes, How many gallons of water will the dishwasher use to wash 10 loads of dishes
Answers
Answer: It would be 80 gallons of water that the dishwasher will use to wash 10 loads of dishes. To figure this out you would need to divide 32 by 4 which would equal 8. You would do this to figure out how many gallons of water a dishwasher needs to wash 1 load of dishes. Then you would multiply 8 times 10 which would equal 80.
Step-by-step explanation: hoped this helps thx for the points :D
HELP ASAP! I WILL GIVE BRAINLEST! I HAVENT TURNED THIS IN AND ITS DUE TOMORROW.
Find the area of the polygon.
Answers
Answer:
332m²
Step-by-step explanation:
the formatting for finding the area of the triangle is base x height x 1/2
so we need to find 8.3 x 10
8.3 x 10 = 83
83/2 = 41.5
there are 8 triangles in this shape so...
41.5 x 8 = 332
so the area of the polygon is 332m²
hope this helped!
- cheesetoasty
Answer:
Hello! answer: 332
Step-by-step explanation:
What they did was give you the height and base of a triangle in the polygon so you can find the rest because each would be equivalent to that one triangle if that makes sense...
Triangle area = base × height ÷ by 2
8.3 × 10 = 83 83 ÷ 2 = 41.5 I will multiply by 8 cause there will be 8 of those same triangles if you dont understand I advise to look at the picture I put here and 41.5 × 8 = 332 therefore the area is 332 HOPE THAT HELPS!
helppppp plss i dont understand
Answers
What is the velocity of the object from t=0 to t=3.0s?
Answers
0 is the velocity of the object from t=0 to t=3.0s
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time .
The areas under a versus t gives the change in velocity. The initial velocity was 1.0 m/s.
The change in velocity from t = 0 to t = 3.0 s is
(1 + 0 - 2.0)m/s = -1 m/s. v(3s) = 1 m/s - 1 m/s = 0 m/s
Hence, the velocity of the object from t=0 to t=3.0s is 0.
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40 % ply tennis 24% plays baseball 58% plays neither. If you pick a student at random what will be the probably plays both sports.
Answers
Answer:
The probability is 0.22
Step-by-step explanation:
We know that:
40% of the students play tennis
24% of the students play baseball
58% of the students play neither.
If we add these numbers, we get:
40% + 24% + 58% = 122%
Here we should get exactly 100%, but we get more because we are counting some of the students twice, and that happens because some of the students play both sports, so these students are counted in both percentages.
And we can conclude that exactly 122% - 100% = 22% of the students play both sports:
Now, the probability that a randomly picked student plays both sports, is equal to the quotient between the percentage of students that play both sports and the 100%, this is:
p = 22%/100% = 0.22
The probability is 0.22
help
x^2 + 4x - 3 = 0
Answers
Answer:
x = − 2 + √ 7 , − 2 − √ 7
Step-by-step explanation:
Answer:
x = +/- 2 +/- √7
Step-by-step explanation:
Amber deposited $1400 into an account that pays 5% interest compounded monthly. How much will Amber have in her account after
10 years?
Answers
Answer:
1400 divided by 5 = 280 times 10 = 2800.
Step-by-step explanation:
Step-by-step explanation:
[tex]total \: months \: = 12 \times 10 = 120 \\ 5\%of \: 1400 = 70 \\ so \: 120 \times 70 = 8400 \\ total = 1400 + 8400 = 9800 \: dollar \\ thank \: you[/tex]
Find the volume of the cylinder as pictured below with a = 5 cm and b = 10
cm. Use 3.14 for rand round your answer to the nearest hundredth. Do not
include units in your answer.
b
a
Answers
Answer:
[tex]\huge\boxed{\mathfrak{\underline{Answer...}}}[/tex]
[tex]\small\mathfrak\red{volume \: of \: cylinder =\pi \: r {}^{2} h } \\ \\ \small\mathfrak\red{ r =5cm \: | height = 10cm } \\ \\ \small\mathfrak\red{volume \: of \: cylinder =3.14 \times 5 {}^{2} \times 10 } \\ \\ \small\mathfrak\red{volume \: of \: cylinder = 785 \: cm.cube} \\ \\ \small\mathfrak\green{hope \: it \: helps .... }[/tex]
Answer:
Step-by-step explanation:
The cost of renting a boat for different
times is shown in the table below. The
relationship shown is linear.
Hours
Cost (dollars)
2
51
4
102
6
153
8
204
Which of the following is the hourly rate
for renting the boat? (8.1A, 8.18, 8.1C,
8.1E)
C $51.00
A $25.50
B $30.50
D Not here
Answers
Answer:
Step-by-step explanation:
Solve for x.
please help w this problem, will give thanks !
Answers
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
[tex] \frac{141x - 1}{2} = 70[/tex]
[tex]141x - 1 = 140[/tex]
[tex]141x = 141[/tex]
[tex]x = 1[/tex]
Which statement is correct?
Answers
Answer:
B. ST and TK intersect at a 90 degree angle.
I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.
Step-by-step explanation:
Hope it helps! =D
Find the lengths of the missing sides. If the length is irrational, round to the nearest tenth.
Answers
Answer: 25
Step-by-step explanation:
Using Pythagorean theorem (a^2+b^2=c^2)
15^2+20^2=c^2
225+400=c^2
625=c^2
Square root to get c alone
C=25
Help me out here? I dunno the answer
Answers
A=1/2 bh
A=1/2 5(6)
f(x)=x2+3 & g(x)=2x−7
1) (f−g)(x)=
2) (f⋅g)(x)=
3) (f°g)(5)=
4) (g°f)(x)=
Answers
Step-by-step explanation:
1)
f-g(x)x²+3-2x+7x²-2x+102)
f×g(x)(x²+3)(2x-7)2x³-7x²+6x-213)
fog(5)f(g(5))f(2×5-7)f(3)3²+39+3124)
gof(x)g(f(x))g(x²+3)(2x-7)²+32x²-2×2x×7+7²2x²-28x+49stay safe healthy and happy.
The ratio of the number of report cards Ms. Wickham folded to the number that Ms. Cho folded was 2:3. At the end of the day, Ms. Leiva and Mr. Gamory folded 300 report cards. Who folded more report cards and by how many
Answers
Ms. Wickham folded 200 report cards and Ms. Cho folded 300 report cards, giving Ms. Cho an average of 100 report cards.
Ms. Wickham and Ms. Cho together folded 500 report cards.
Ms. Wickham folded 200 report cards
(200/500 = 2/5)
Ms. Cho folded 300 report cards
(300/500 = 3/5)
Mr. Leiva and Mr. Gamory folded 300 report cards.
Ms. Cho folded more report cards than Ms. Wickham, by
100 (300 - 200 = 100).
Ms. Wickham and Ms. Cho together folded 500 report cards, with the ratio of Ms. Wickham's report cards to Ms. Cho's being 2:3. Ms. Wickham folded 200 report cards, while Ms. Cho folded 300. At the end of the day, Mr. Leiva and Mr. Gamory folded an average 300 report cards. This meant that Ms. Cho folded more report cards than Ms. Wickham, by 100. Therefore, Ms. Cho folded 400 report cards in total, while Ms. Wickham only folded 300.
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