simplify cot^2 theta + 1.
a. csc^2 theta
b. 0
c. cot^2 theta
d. cos^2 theta

Simplify Cot^2 Theta + 1. A. Csc^2 Theta B. 0 C. Cot^2 Theta D. Cos^2 Theta

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1

Divide all terms by sin²x

[tex]\frac{sin^2x}{sin^2x}[/tex] + [tex]\frac{cos^2x}{sin^2x}[/tex] = [tex]\frac{1}{sin^2x}[/tex] , that is

1 + cot²x = csc²x

Thus

cot²θ + 1 = csc²θ → A


Related Questions

find the equation of a line that is parallel to the straight line 2x-y=-3 and crosses the x-axis at x=-5​

Answers

Answer:

y=2x+10

Step-by-step explanation:

In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.

In this case it is y=2x+3

All parallel lines have the same gradient. The gradient of this line = 2.

If the line crosses the x axis at x=-5, then when x =-5 y = 0.

If you put all this in the form y =ax + b you get 0 = 2(-5) +b

So all you need to do to find b is rearrange. b = 10.

Therefore your line has gradient 2 and y intercept 10.

y = 2x + 10

5. The ratio of dog owners to cat owners is 4:3. If 320 people in a city own dogs, how many people own
cats?

Answers

4/3 = 320/x
4x = 320*3
4x = 960
x = 240

Check:
320/240 divide both by 80
= 4/3 :)

Answer:

240

Step-by-step explanation:

the answer is 240 bc if you divide 4 from 4:3 320/4 is 80 and use the 3 from 4:3 80x3 is 240

What is the value of the expression 0.52?
0.125
0.25
0.52
1
I only have an hour please help! I will give brainliest!!

Answers

Answer:

0.25

Step-by-step explanation:

lets say you have half a cake

multiplying a decimal is the same as multiplying its counterpart

basically, you divide half a cake in half

0.25 of a cake, or 1/4

uwu

Answer:

0.25

Step-by-step explanation:

A recipe calls for 12 lb of flour for 1 batch.

Answer each question below and type the answers in the boxes.

1. How many batches can be made with 1 lb of flour?

2. How many batches can be made with 34 lb of flour?

3. How many batches can be made with 14 lb of flour?

Answers

1. 1/12 batches (0.0833333)

2. 2.83333 batches

3. 1.1667 batches

Explanation

1. 1 ÷ 12 = 1/12

2. 34 ÷ 12 = 2.83333

3. 14 ÷ 12 = 1.1667

ANSWER QIuCK PLEASE VERY URGENt

Answers

Answer:

It would just be .8

Step-by-step explanation:

All your doing is changing the sign before the number

The table shows the results of randomly selecting colored marbles from a bag 40 times. The marble was returned to the bag after each selection. Based on the results, what is the expected probability of randomly selecting a green marble from the bag in one attempt?
A: 0.125
B:0.20
C: 0.80
D:1.0

Answers

Answer:

Item 23 The table shows the results of randomly selecting colored marbles from ... Are you an educator? ... The marble was returned to the bag after each selection . ... results, what is the expected probability of randomly selecting a green marble ... A . 0.125 B . 0.20 C . 0.80 D . 1.0 Item 24 The six sides of a number cube are ...

Step-by-step explanation:

Answer:

b:0.20 i guess this is the answer.

Here are the first 5 terms of a sequence
3 6 10 15 21
Write down the next two terms of the sequence

Answers

The next two terms is 28 and 36
Yep it’s 28 and 36 I checked

please help with this ASAP. image below

Answers

Angle BDC is complementary

Answer:

Angle BDC

Step-by-step explanation:

Complementary is angles that add up to 90 degrees

The deer population in smith county is 35 deer per square mile. What is the deer population for 105 square miles in smith county?

Answers

Answer:

3675

Step-by-step explanation:

105 x 35 = 3675

is there are 35 deers for every square mile, there must be 105 times as many in 105 miles

Answer:

3675 deer

Step-by-step explanation:

105 * 35 = 3675

which of these shapes are paralellograms? choose all the correct anwsers

Answers

These are all the shapes

how about this one −p+
5
3

q−
10
1

q+
9
1


9
1

p

Answers

Answer:

NaNx10^-23

Step-by-step explanation:

Help me help me help me

Answers

Answer:

The ratio is 5:4 and the only one that fits is 25,20 so that's the answer.

Step-by-step explanation:

5:4 is the ratio...............

Find the volume of the prism.

Answers

Answer:

238m^3

Step-by-step explanation:

Volume = lwh (length times width times height)

so do 4 x 7 x 8 1/2

this gets you 238m^3 (because you have to cube your answer with units)

Devon has been saving $5 & $10 for the past four years. Over spring break he wanted to see how much money he has saved up. After counting the money he calculated that he has a total of $395 & had 49 bills. Based on this information, how many $5 & $10 bills does he have?

Answers

Answer:

19 five dollar bills

30 ten dollar bills

Step-by-step explanation:

x=number of $5 bills

y=number of $10 bills

x+y=49

x=49-y

5x+10y=395

substitute for x

5(49-y)+10y=395

245-5y+10y=395

245+5y-245=395-245

5y=150

5y/5=150/5

y=30

x=49-30=19

What is the measure of angle b?

Answers

Answer:

42

Step-by-step explanation:

Answer:

[tex]42[/tex]°

Step-by-step explanation:

[tex]A+B+C=180[/tex]

all measures of a triangle add up to 180

the angle opposite of angle b on the triangle is [tex]48[/tex]°

[tex]48+90+C=180[/tex]

[tex]138+C=180[/tex]

[tex]C=42[/tex]°

plz mark me brainliest. ;)

Solve for the variable
X-11 = 8

Answers

This is pretty easy to do.

First, you have to get x alone by getting rid of the terms next to it. In this case, it’s -11.

To get rid of a term, do the opposite.


So x - 11 + 11 = 8 + 11
Remember to do it on both sides.

x = 19
Answer: 19
Why?
You have to get x alone so you have to add 11 to both sides
X-11+11= 8+11
The 11 cancel out on the left and 8+11 equals 19 so x=19

plssssss plsss help meeee ❤️❤️❤️

Answers

Answer:

slope is 2/3

Step-by-step explanation:

To solve for slope: y2-y1 / x2- x1.

Two points can be (0,50) and (30,70) since they intercept.

70-50 / 30- 0 = 20/30 = 2/3.

The slope is also going 20 units up and 30 units across which gives you 2/3.

John works 40 hours per week at a rate of $20 per hour. He earns 1 1/2 times his regular pay for every hour worked over 40. What is his pay, in $, for a 46 hour work week?​

Answers

780 is the answer have. A good day

What is the equation of this graph?

Answers

Answer (assuming it is allowed to be written in slope-intercept form):

[tex]y = -\frac{2}{3} x + 1[/tex]

Step-by-step explanation:

When knowing a line's y-intercept and its slope, you can write its equation using slope-intercept form, or [tex]y = mx + b[/tex].

1) First, find the slope of the line. Read the graph and look at the two points marked on the line - they are (0,1) and (3,-1). Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] , substitute the x and y values of those points, and solve:

[tex]\frac{(-1)-(1)}{(3)-(0)} \\= \frac{-1-1}{3-0} \\= \frac{-2}{3}[/tex]

Thus, the line's slope is [tex]-\frac{2}{3}[/tex].

2) Now, use the slope-intercept formula, [tex]y = mx + b[/tex], to write an equation. Substitute the [tex]m[/tex] and [tex]b[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{2}{3}[/tex]  in its place. The [tex]b[/tex] represents the y-value of the y-intercept, or the point at which the line crosses the y-axis. Looking at the graph, we can see that the line intersects the y-axis at (0,1). Thus, substitute 1 for [tex]b[/tex]. This gives the following equation and answer:

[tex]y = -\frac{2}{3} x + 1[/tex]

5. 10^6 is how many times as large as
5 . 10^4

Answers

Answer:

100 times

Step-by-step explanation:

[tex]\frac{5.10^6}{5.10^4} \\=10^6.10^{-4}\\=10^{6-4}\\=10^2\\=100[/tex]

Answer:

Step-by-step explanation:

Work out the size of angle x.Give reasons for your answer .

Answers

Answer:

75°

Step-by-step explanation:

AD and EH are parallel

So Angle GFE equals to angle FBA

And angle CBA equals 180°-angle FBA= 180°-105°= 75°

Please put the Brainlest

The value of x would be 75 degrees beacuse of corresponding angles on the same line of tranversal.

What are corresponding angles?

In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as: For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

Given that AD and EH are parallel lines

So Angle GFE is equals to angle FBA.

And angle CBA equals to 180°

Angle FBA = 180°-105°

Angle FBA = 75°

Hence, The value of x would be 75 degrees beacuse of corresponding angles on the same line of tranversal.

Learn more about angles here:

https://brainly.com/question/2882938

#SPJ2

Does anyone know this?​

Answers

Answer:

B

Step-by-step explanation:

(2*5) - 2 = 8

May Nilbin Be With You

The length of a diagonal of a square is 10 square root of 2 inches. Find the length of one side of the square.

Answers

Answer:

10inches

Step-by-step explanation:

Let the length of one side of the square be  a

If the diagonal of a square is 10√2 inches

According to pythagoras theorem

a²+a² = (10√2)²

2a² = 100(2)

2a² = 200

a² = 200/2

a² = 100

a = √100

a = 10

Hence the length of one side of the square is 10inches

BRAINLIEST! Pls help... ​

Answers

Answer:

Option A

Step-by-step explanation:

Any number that can be written in the form of a fraction [tex](\frac{p}{q})[/tex] will be a rational number.

From the given options,

Option (A)

Given expression [tex]\sqrt{\frac{x^2+2x-5}{2x^2-3x+4}}[/tex] can't be written in the form of a fraction [tex](\frac{p}{q})[/tex] (Without square root).

Therefore, given function is not a rational function.

Rest all options represent a rational function.

Option A will be the answer.  


The radius of a cylindrical water tank is 6 ft, and its height is 16 ft. What is the volume of the tank?

Answers

Answer:

about 1809.56 ft^3

Step-by-step explanation:

πr2h

=  π×6^2×16

=  576π

=  1809.5573684677 feet3

Brown Delivery Company delivers its standard crates using a fleet of vans and trucks. A van can hold up to 20 standard

crates, and a truck can hold up to 35 standard crates. If Brown Delivery Company needs to deliver exactly 270 standard

crates at one time using 12 vehicles, which system of linear equations could be used to determine the number of vans, x,

and the number of trucks, y, needed for this delivery?

x + y = 12

20x + 35y = 270

x + y = 270

20x + 35y = 12

x + y = 12

35x + 20y = 270

x+y = 270

35x + 20y = 12

Answers

Answer:

x + y = 12

20x + 35y = 270

Step-by-step explanation:

Let us represent:

The number of vans = x

The number of trucks = y

From the above question, we are told that:

A van can hold up to 20 standard crates, and a truck can hold up to 35 standard crates. If Brown Delivery Company needs to deliver exactly 270 standard crates at one time using 12 vehicles.

Hence, our system of equations is given as:

x + y = 12..... Equation 1

20 × x + 35 × y = 270

= 20x + 35y = 270...... Equation 2

Please help me solve this

Answers

Answer:

i have done it (*_*)

add them together then you should get 180 add 16 into it which should giver you 196 then divide by 4 which should give you 14.

Chicken tenders generally weigh about 4 ounces each. When we purchased them from the store, we paid $4 per pound (16
ounces) for frozen tenders. French Fries are about $2 per pound. On the Chicken Tender Platter, we put 3 tenders, and aboud
4 ounces of french fries. What is the total food cost of the Chicken Tender platter?

Answers

Answer:

i need points

Step-by-step explanation:

ndm

Answer: 3.50

Step-by-step explanation:

4 ounces x 3 tenders = 12ounces so 3 dollars. then 4 ounses so 50 cents. so 3.00 + 0.50= 3.50

11
10/20
Streak
Victoria recieves $7.50 each week for allowance. Which equation can be used to
find the number of weeks, Victoria must save her allowance in order to buy a
bicycle that costs $90.

Answers

Your answer is $7.50x=90

Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike
rental costs $3.25 per hour.

Answers

Step-by-step explanation: if its asking  how much money he spends in total you multiply

$3.25 x 5 = 16.25

Answer:

They will spend $16.25 on each bike for 5 hours, $16.25 x 2 = $32.50. They will spend $32.50 and will be left with $7.50.

Step-by-step explanation:

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