Answers
Answer:
Cosec θ = – 25/24
Step-by-step explanation:
From the question given, we obtained the following information:
Tan θ = – 24/7
Cosec θ =?
Tan θ is negative in the forth quadrant.
Please see attached photo.
Tan θ = Opposite /Adjacent
Opposite = – 24
Adjacent = 7
Hypothenus = x
Thus, we can obtain the value of x by using the pythagoras theory as illustrated below:
x² = (–24)² + 7²
x² = 576 + 49
x² = 625
Take the square root of both side
x = √625
x = 25
Next, we shall determine Sine θ. This can be obtained as follow:
Opposite = – 24
Hypothenus = 25
Sine θ = ?
Sine θ = Opposite /Hypothenus
Sine θ = –24/25
Finally, we shall determine the Cosec θ. This can be obtained as follow:
Cosec θ = 1 /Sine θ
Sine θ = –24/25
Cosec θ = 1 ÷ –24/25
Cosec θ = 1 × – 25/24
Cosec θ = – 25/24
Related Questions
Please choose one to answer. Thanks of finished all 3 questions BRILLIANT! I give you Braingood thing
Answers
Answer:
Step-by-step explanation:
11.a=6
b=3
What is the simplest form of this expression? -b^3 (3b + 1) – 2b^4
Answers
Answer:
-5b^4 - b^3
Step-by-step explanation:
-b^3 (3b + 1) – 2b^4
Distribute
-3b^4 - b^3 -2b^4
Combine like terms
-5b^4 - b^3
write as an equation: 1/3 of a shipment of books weights 28 pounds
Answers
Answer:
x=28 (pounds) * 1/3
Step-by-step explanation:
28/3 gives you 1/3 of the shipment weight.
Determine whether set B is a subset of A.
7. A = {2, 3, 5, 7, 11}
B = {3, 5, 7, 9, 11)
Answers
Answer:
Set B is not a subset of A.
Step-by-step explanation:
If there are sets, A and B with some elements, then B can be called subset of A, if every element of B is present in set A.
Example.
Example
A is set of integers
B is set of natural numbers
we know set of integers is all the negative numbers, 0 and all the positive discrete numbers like
A = {......-3,-2,-1,0,1,2,3,4........}
B is set of positive discrete numbers from 1 to infinity)
B = {1,2,3,4........}
Thus, we see every element of B is present in A . Hence B is subset of A
___________________________________________
Given
A = {2, 3, 5, 7, 11}
B = {3, 5, 7, 9, 11)
Here,
In set B . elements 3,5,7,11 are present in set A, but
Element 9 from set B is missing Set A.
Since, every element of Set B is not present in set A hence
Set B is not a subset of A.
Please Help! The base of a triangular prism has a base rent of 7 feet and a height of 3 feet the prism is 4 feet tall a second larger prism has dimensions that are three times the dimensions of the small prism what is the difference between the volumes of the two prisms?
Answers
Answer: 1092
Step-by-step explanation:
Answer:
1092
Step-by-step explanation:
Cellular phone service that charges per minute will charge $35 for 220 minutes. How much would 753 minutes cost?
Answers
Answer:
$119.795 (aprox)
Step-by-step explanation:
Proportions:
$35 ⇔ 220 minutes
$C ⇔ 753 minutes
C = 753*35/220
C = $119.795 aprox.
Martin is buying 400 video games for his entertainment store it's video game cost $20 which of the following could be used to find the total amount he will pay for the video games .
Answers
Answer:
What are the following??
Step-by-step explanation:
Imma try to help tho
soo like 20$ per game and like 400 games
thats 20$*400=8,000 dollars
What is the area of the parallelogram?
Answers
70 cm
a parrallogram is a square of sorts, so just take the base times the height divided by two for the triangle portion than multiple by 2 to get rhe same answer back because those two triangles make a square
Help! Please what’s the answer
Answers
Answer:
837 sq. ft
Step-by-step explanation:
area of garden = area of rectangle + area of semicircle
area of rectangle = 20 X 34 = 680 sq. ft
area of semicircle = 1/2 X 3.14 X 100 = 157 sq.ft
area of garden = 837 sq. ft
i am 1 brainly away from virtuoso, your help would be appreciated
Find each of the following functions and state their domains. (Enter the domains in interval notation.)
f(x) = x3 + 4x2, g(x) = 5x2 − 1
(a) f + g
f + g =
domain =
(b) f - g
f − g =
domain =
(c) fg
fg =
domain =
(d) f/g
f/g =
domain =
Answers
Answer:
Step-by-step explanation:
Given functions are,
f(x) = x³ + 4x²
g(x) = 5x² - 1
(a). (f + g)(x) = f(x) + g(x)
= x³ + 4x² + 5x² - 1
= x³ + 9x² - 1
Since the composite function is defined for all values of x, domain of the function will be (-∞, ∞)
(b). (f - g)(x) = x³ + 4x² - (5x² - 1)
= x³ - x² + 1
Domain of the function : (-∞, ∞)
(c). (f.g)(x) = f(x) × g(x)
= (x³ + 4x²)(5x² - 1)
= 5x⁵+ 20x⁴ - x³ - 4x²
Domain of the function will be (-∞, ∞).
(d). [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{x^3+4x^2}{5x^2-1}[/tex]
Since this function is not defined at [5x² - 1 = 0] Or x = ±[tex]\frac{1}{\sqrt{5}}[/tex]
Therefore, Domain of the composite function will be,
(-∞, -[tex]\frac{1}{\sqrt{5}}[/tex]) ∪ [tex](-\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}})[/tex] ∪ ([tex]\frac{1}{\sqrt{5}}[/tex], ∞)
Which set of data is displayed in the box plot below?
Answers
Answer:
It would tske to long for me to break it down but my best bet is B
Step-by-step explanation:
A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.
Answers
On 0.05 percentage of the spins did the spinner land on 2, according to the question.
How do you calculate the value?For spins using the spinner geometry: Shape. Spinners are in the same category as dice. Spinners, in essence, give unpredictability to the creation of numbers, colors, or objects. It can be used in place of dice and vice versa to create numbers. IT may be used in a gaming scenario in the same manner that dice can be used to produce movements.
In 100 Spins it lands on 2 a total of 5 times
Therefore, it’s 5/100×100%
= 5%
So, the Answer is 5. So 5% .
To convert a percentage to a decimal, divide by 100. So 5% is 5/100, or 0.05. To convert a decimal to a percentage, multiply by 100 , move the decimal point 2 places to the right.
To learn more about Spin times, to refer:
brainly.com/question/22309374
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When did the United States first start to consider adopting the metric system?
Answers
Answer:
1866
In 1866, the U.S. Congress authorized the use of the metric system and almost a decade later America became one of 17 original signatory nations to the Treaty of the Meter. A more modern system was approved in 1960 and is commonly known as SI or the International System of Units.
Answer:
1893
Step-by-step explanation:
In 1893, metric standards, developed through international cooperation under the auspices of BIPM please mark brainliest :)
A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 19mg every six hours. Complete parts (a) and (b) below. Following this dosage, how many 13.2mg chewable tablets would be taken in a week? A 100-pound person could take ____ tablets in a week. (Round to the nearest whole number as needed.)
Answers
Answer:
40 tablets
Step-by-step explanation:
What we want to do is find how many mg of antihistamine you can take in a week.
If you can take 19mg in 6 hours, that means you can take [tex]19\cdot4=76[/tex]mg per day (because [tex]24\div6=4[/tex], so you can take 19mg every 6 hours 4 times in a day.)
There are 7 days in a week, so you can take [tex]76\cdot7=532[/tex] mg per week.
Now, we know how many mg of antihistamine you can take per week. If we take antihistamine in increments of 13.2mg, then the total amount of tablets we can take per week is going to be [tex]532\div13.2[/tex], which is approximately equal to 40.
So you can take 40 tablets in a week if you are 100 pounds.
Hope this helped!
Answer:
Step-by-step explanation:
b. A 100-pound person could take
enter your response here mL in a week.
(Round to the nearest whole number as needed.)
PLEASE HURRY I ONLY HAVE 5MIN TO TURN IT IN!!! A new television set was recently purchased for a common Room and a resident Hall for $446.90 including tax. If the tax rate is 9%, find the price of the television set before taxes.
Answers
Answer:
The price of the tv before tax is 410
Step-by-step explanation:
Let x = price of tv before tax
tax = x* 9%
tax = .09x
The total cost is price of tv before tax plus tax
total cost = x + .09x
total cost = 1.09x
446.90 = 1.09x
Divide each side by 1.09
446.90/1.09 = 1.09x/1.09
410 = x
The price of the tv before tax is 410
A snail travels 820 mm in 0.75 minutes. What was his speed in m/s?
Answers
Answer:
speed in m/s=0.01822 metre/s
Step-by-step explanation:
Conversation rate of mm to m is
1000 mm = 1 metre
820 mm= 820/1000
829 mm= 0.82 metres
Conversation rate of minutes to second
I minute = 60 seconds
0.75 minute = 60*0.75 seconds
0.75 minute= 45 seconds
speed in m/s= 0.82 metres/45 seconds
speed in m/s= 0.82/45
speed in m/s=0.01822 metre/s
The two-way frequency table below shows data on type of vehicle driven and whether there was a speeding ticket in the last year for customers of All American Auto Insurance. Complete the following two-way table of row relative frequencies. (If necessary, round your answers to the nearest hundredth.) Sport utility vehicle (SUV) Sports car Speeding ticket within the last year 282828 353535 No speeding ticket within the last year 979797 104104104 Sport utility vehicle (SUV) Sports car Row total Speeding ticket within the last year 1.001.001, point, 00 No speeding ticket within the last year 1.001.001, point, 00
Answers
Answer:
Step-by-step explanation:
Given frequency table is,
Sport utility vehicle Sports car Row total
Speeding ticket within last year 28 35 63
No Speeding ticket within last year 97 104 201
Now relative frequency table will be,
Sport utility vehicle Sports car Row total
Speeding ticket within last year [tex]\frac{28}{63}=0.44[/tex] [tex]\frac{35}{63}=0.56[/tex] [tex]\frac{63}{63}=1[/tex]
No Speeding ticket within last year [tex]\frac{97}{201}=0.48[/tex] [tex]\frac{104}{201}=0.52[/tex] [tex]\frac{201}{201}=1[/tex]
Answer:
The answer above is wrong. This is the correct one(the picture)
Step-by-step explanation:
( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 ) A) 5n 4 + 11n 3 B) 5n 4 + 11n 3 + 2 C) 4n 4 + 11n 3 + 2 D) 4n 4 + 19n 3 + 2
Answers
Answer:
i got 53 n
Step-by-step explanation:
could be wrong but try lol
which function below is the Inverse of f(x)= 7x-1/2
Answers
Answer:
[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]
Step-by-step explanation:
If we have y=7x-1/2, the inverse is where we solve for x instead of y.
We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.
Therefore,[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]
Hope that helped,
-sirswagger21
What is the simplified form of the expression below? (6 + 7b) + 14
Answers
Answer: 20+7b
Step-by-step explanation:
Given
(6+7b)+14
Take off parentheses
=6+7b+14
Move like terms together (Commutative property)
=6+14+7b
Combine like terms
=20+7b
Hope this helps!! :)
Please let me know if you have any question
Answer:
[tex]\huge\boxed{ answer}[/tex]
[tex]\blue\star[/tex]6 + 7b + 14 = 0
[tex]\blue\star[/tex]7b + 20 = 0
[tex]\blue\star[/tex]7b = - 20
[tex]\blue\star[/tex]b = -20\7
[tex]\star[/tex]simplified form
[tex]\blue\star[/tex](6 + 7b) +14
firstly remove the brackets.
[tex]\blue\star[/tex]6 + 7b +14
seprate terms and variables
[tex]\blue\star[/tex] 7b +20
[tex]\huge\boxed{7b + 20}[/tex]
Hope it helps..
please help me with this *the answer i has typed (5^11) is incorrect
Answers
Answer:
[tex]-5^{11}[/tex]
Step-by-step explanation:
It would actually be [tex]-5^{11}[/tex] since it is a negative 5
Answer:
( -5) ^ 11
Step-by-step explanation:
( -5) ^5
-------------
( -5) ^ -6
Since we are dividing, we subtract the exponents
(-5) ^ ( 5 - -6)
(-5) ^ (5+6)
( -5) ^ 11
...........................
Answers
Answer:
x= 88
Step-by-step explanation:
Write each statement as a decimal to two decimal places. $6.00 to 95 cents = 3 hours to 35 minutes = 42 inches to 2 feet = (Hint: there are 12 inches in 1 foot.)
Answers
Answer/Step-by-step Explanation:
The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.
1. $6.00 to 95 cents:
This is same as $6.00 : 95 cents = [tex] \frac{6.00}{95} [/tex]
Convert $6 .00 to cents to make both quantities be in the same unit.
$1 = 100 cents
$6.00 = 6*100 = 600 cents
[tex] \frac{600}{95} = 6.32 [/tex] (to 2 d.p)
2. 3 hours to 35 minutes:
Convert 3 hours to 35 mins
1 hr = 60 mins
3 hrs = 3*60 = 180 mins
[tex] 180mins : 35 mins = \frac{180}{35} = 5.14 [/tex] (2 d.p)
3. 42 inches to 2 feet:
Convert 2 ft to inches
1 ft = 12 inches
2ft = 2*12 = 24 inches
[tex] 42 in:24 in = \frac{42}{24} = 1.75 [/tex]
Point S is on line segment \overline{RT}
RT
. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.
ST
.
Answers
The value of ST is 8.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.
Given:
ST=5x-7, RT=4x+9, RS=2x+7
So,
RS + ST = RT
2x +7 + 5x -7 = 4x+9
7x = 4x +9
3x= 9
x=3
So,
ST= 5x-7 = 5*3 -7= 15-7= 8
Learn more about equation here:
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Which of the following are acceptable weights?
13.5oz
13.8oz
14.15oz
14.2oz
14.3oz
Answers
Answer:
13.8 14.15 14.2
Step-by-step explanation:
Edge 2020
~theLocoCoco
Answer: b, c & d !
Step-by-step explanation:
Find the quotient for 12 ÷ (-4).
Answers
Answer: -3
Step-by-step explanation: To divide 12 by -4, remember that a
positive divide by a negative is a negative.
So (12) ÷ (-4) is -3.
The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. Fixed cost =$ Number b. What is the cost of making 25 items? C(25)=$ Number c. Suppose the maximum cost allowed is $2300. What are the domain and range of the cost function, C(x)? When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000). Domain: Preview Range: Preview
Answers
Answer:
1. Fixed cost is $800
2.Cost of 25 bags is $1025
3. (170,2300)
Step-by-step explanation:
Given
[tex]c(x) = 10x + 800[/tex]
Solving (a): Fixed cost
From the question, fixed cost is when x = 0;
Substitute 0 for x in [tex]c(x) = 10x + 800[/tex]
[tex]c(0) = 10 * 0 + 800[/tex]
[tex]c(0) = 0 + 800[/tex]
[tex]c(0) = 800[/tex]
Hence, the fixed cost is $800
Solving (b): Cost of making 25 items
Here; x = 25
Substitute 25 for x in [tex]c(x) = 10x + 800[/tex]
[tex]c(25) = 10 * 25 + 800[/tex]
[tex]c(25) = 250 + 800[/tex]
[tex]c(25) = 1025[/tex]
Hence, the cost of 25 bags is $1025
Solving (c): Domain and Range where Maximum cost = $2300
Here; c(x) = 2500
Substitute 25 for c(x) in [tex]c(x) = 10x + 800[/tex]
[tex]2500 = 10x + 800[/tex]
Subtract 800 from both sides
[tex]10x = 2500 - 800[/tex]
[tex]10x = 1700[/tex]
Divide both sides by 10
[tex]x = 170[/tex]
The domain and range of a function is in form of (x,c(x))
Hence, the domain and range is (170,2300)
Donte is planning on repairing bikes and skateboards to save up money for
college. He can repair up to 2 bikes per day and 4 skateboards per day. If b
represents the number of bikes and s represents the number of
skateboards, write the expression that represents the total number of
things Donte can repair in a single day. *
Answers
Answer:
y=2b+4s
Step-by-step explanation:
What type of number is -44.1?
Answers
Answer:
-44.1 is a real and complex number
Step-by-step explanation:
Flag this Question
Question 11 pts
Is the value of the 1 in 1,440,000 10 times as great as the value of the 4 in the hundred thousands place? Explain
Answers
Answer:
Yes
Step-by-step explanation:
The answer is yes because 1,000,000 ÷ 100,000 = 10.