The required value is [tex]\csc A=\dfrac{5}{4}[/tex].
Important information:
[tex]\sec A=\dfrac{5}{3}[/tex]Angle A is in Quadrant I.We need to find the exact value of csc A.
Trigonometric Ratios:Formulae used: If angle A is in Quadrant I.
[tex]\cos A=\dfrac{1}{\sec A}[/tex]
[tex]\sin A=\sqrt{1-\cos^2 A}[/tex]
[tex]\csc A=\dfrac{1}{\sin A}[/tex]
Using these formulae, we get
[tex]\cos A=\dfrac{3}{5}[/tex]
And,
[tex]\sin A=\sqrt{1-\left(\dfrac{3}{5}\right)^2}[/tex]
[tex]\sin A=\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin A=\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin A=\dfrac{4}{5}[/tex]
Now,
[tex]\csc A=\dfrac{1}{\sin A}[/tex]
[tex]\csc A=\dfrac{1}{\frac{4}{5}}[/tex]
[tex]\csc A=\dfrac{5}{4}[/tex]
Thus, the required value is [tex]\csc A=\dfrac{5}{4}[/tex].
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The required value of cscA is 1.25
Given,
[tex]secA=\frac{5}{3}[/tex]
Trigonometrical ratios:
In the first quadrant, all ratios are positives.
[tex]sin A=\frac{P}{H}[/tex]
And the value of hypotenuse is,
[tex]P=\sqrt{H^2-B^2} \\=\sqrt{5^2-3^2} \\=\sqrt{16}\\ P=4[/tex]
So, the sine A is,
[tex]sinA=\frac{P}{H}\\ =\frac{4}{5}[/tex]
So, the rational denominator is,
[tex]cscA=\frac{H}{P}\\ =\frac{5}{4}\\=1.25[/tex]
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Can anyone please help me with the last question I’m struggling!
The equation is x=-6
Step-by-step explanation:
In standard form the equation is y=4
And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a
so that is why the equation is x=-6
Answer:
= -5
Step-by-step explanation:
Tony has 5 goats, 12 pigs, and 26 chickens on his farm. Write the ratio of
chickens to pigs in three ways.
Answer:
26:12, 26/12, 26 for every 12
Step-by-step explanation:
I need help, please
it is do tomorrow
Answer:
#2) 30% of 400 is 120 and 120/6 = 2 so it took him 2 hours
#3) 2.5/3.2 = .78 and 1/1.2 =.83 so buying the bigger one you are paying less
To calculate your Medicare tax deductions, multiply your gross pay by 1.45%. If your gross pay was $350.00, what would be the amount deducted for Medicare? ASAP!!!
The Correct Answer: $5.07
17 increased by twice Greg's height
Answer:25
Step-by-step explanation:
what is the equation of the line in slope intercept form.
Find x
13x+5)
(6x – 14)°
y + 8)
Answer:
X=21
Step-by-step explanation:
3x+5+6x-14=180
9x-9=180
9x=180+9
9x=189
x=21
Three different divers kept track of the number of treasure boxes they've found this year.
Diver Dives Treasure boxes found
Scuba Sam 111111 333333
Wet Suit Willy 181818 818181
Deep Diving Dan 262626 104104104
Which diver found the most treasures per dive?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Scuba Sam
(Choice B)
B
Wet Suit Willy
(Choice C)
C
Deep Diving Dan
Answer:
ITS B
Step-by-step explanation:
Let v(t) = 1/π + sin(3t) represent the velocity of an object moving on a line. On the interval [π/2, π], what is the velocity when the acceleration is 3?
Answer:
[tex]\displaystyle \frac{1}{\pi}\approx0.318[/tex]
Step-by-step explanation:
The velocity of an object moving on a line is given by the function:
[tex]\displaystyle v(t)=\frac{1}{\pi}+\sin(3t),\; \frac{\pi}{2}\leq x\leq\pi[/tex]
And we want to determine the velocity of the object when its acceleration is 3.
So, we will need to determine our acceleration function. Remember that acceleration is simply the derivative of speed. Therefore, our acceleration function a(t) will be:
[tex]\displaystyle a(t)=v^\prime(t)=\frac{d}{dt}[\frac{1}{\pi}+\sin(3t)][/tex]
Differentiate. We will use the chain rule on the second part. Hence, our acceleration function is:
[tex]\displaystyle a(t)=3\cos(3t)[/tex]
We want to find the velocity when the acceleration is 3.
So, let’s set a(t) equal to 3 and determine at what time t our function equals 3. Hence:
[tex]3=3\cos(3t)[/tex]
Divide both sides by 3:
[tex]\cos(3t)=1[/tex]
Take the inverse cosine of both sides.
Remember that cosine is 1 for every 2π. Hence:
[tex]3t=2\pi n[/tex]
Where n is an integer.
Divide both sides by 3. Therefore, our solutions are:
[tex]\displaystyle t=\frac{2\pi n}{3}[/tex]
However, our domain was π/2≤x≤π.
Hence, we can test values of n such that it is within our domain.
Testing for n=0, 1, and 2, we see that:
[tex]\displaystyle t=0, \, t=\frac{2\pi}{3},\, t=\frac{4\pi}{3}...[/tex]
However, the only solution that is within our domain is the second solution.
Hence, the acceleration is 3 when the t is 2π/3.
Therefore, our velocity at that time t is:
[tex]\begin{aligned}\displaystyle v(\frac{2\pi}{3})&=\frac{1}{\pi}+\sin(3(\frac{2\pi}{3}))\\ &=\frac{1}{\pi}+\sin(2\pi)\\&=\frac{1}{\pi}+0\\&=\frac{1}{\pi}\approx 0.318\end{aligned}[/tex]
KAJSADBHAVMHDBHJHHFEHF I NEED HELP ON THIS SOMEONE PLS HELP
Checking accounts can be accessed using checks, ATM machines, and wire transfers.
True or false
Answer:
I think it is True
a card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 9 of spades.
Answer:
1/52
Step-by-step explanation:
To obtain the probability of drawing a 9 of spade from a deck of 52 cards ;
Probability = (number of required outcomes / number of total possible outcomes)
Number of Required outcomes = 1 (there is only one 9 of spade in a deck of 52 cards)
Hence,
P(9 of spade). = 1 / 52
Did the scale factor of 0.75 enlarge reduce or stay the same?
Answer:
[tex]\huge\boxed{\sf Reduces}[/tex]
Step-by-step explanation:
Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.
Thus the scale factor of 0.75 reduces the dilated image.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
-it reduces-
Step-by-step explanation:
good luck:)
Choose the scenario that describes a proportional relationship.
Miguel earns $7.50 per hour while babysitting.
A hotel charges a flat rate of $12.00 to park in their parking lot.
A cellphone plan is $25 plus $0.05 per megabyte, MB, of data usage.
Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.
Answer:
Raphael sells paintings for $200 each at a market, but has to pay $100 to reserve a table. :)
Step-by-step explanation:
The scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex]where that middle sign is the sign of proportionality.
This inversely proportional relationship is denoted by;
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
Thus, the scenario that describes a proportional relationship is D; Raphael sells paintings for $200 each at a market but has to pay $100 to reserve a table.
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the picture is linked here
Answer:
A.
Step-by-step explanation:
In a Linear Function, the changes between x and y should remain constant.
A: x increases by 2 while y increases by 2 steadily so it is a linear function.
B: x increases by 1 and then zooms up to increasing in double (2) while y increases by 2 and then zooms up to increasing to more than double (5) so B is not a linear function.
C: x increases by 3, then one-third of 3 (1), then two-third of 3 (2). y decreases by 6, then one-third of 6 (2), then one-third (2) again when it should have decreased by two-third of 6 (4). Notice that the last decrease was different from x.
D: x increases by 6, then one-third of 6 (2), then half of 6 (3). y decreases by 3, then one-third of 3 (1), then two-third of 3 (2) when it should have decreased by half of 3 (1.5). Notice the last decrease was different from x.
Answer:
pick the answer a
Step-by-step explanation:
What’s 4/5 divided by 3
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
remember when dividing with fractions, you are multiplying by the reciprocal.
this means
[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]
Answer:
the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26
PLEASE I NEED HELP RIGHT NOW! THANK YOU!
For each equation, tell whether it is always, sometimes, or never true. Explain your reasoning in words.
Answer:
For d: x=2
Step-by-step explanation:
Lets +1 on both sides so 9+1=10. Now the equation is 5x=10
Divide 10÷5=2
Solve for n in the following equation. A=P(1+n) show all your work
Answer:
A-1/P=n
Step-by-step explanation:
step 1. look at the parentheses and use inverse operations on both sides
A=P(1+n)
-1 -1
step 2. divide both sides by P
A-1=P(n)
/P /P
n= A-1/P
The value of n on solving the equation A = P (1 + n) is A / P - 1.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
A = P (1 + n),
Here we can solve the parentheses by using the distributive property as shown below,
A = P × 1 + P × n
A = P + nP
Transform as shown below,
nP = A - P
n = (A - P) / P
n = A / P - 1
Thus, the value of n is A / P - 1.
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Which expression is equivalent to 4 (x + 3) ?
A. 4x + 3x
B. 4 + x + 3
C. 4x + 12
D. 4x + 3
Answer:
c. 4x + 12
Step-by-step explanation:
just distribute the 4 out. hope this helped!
Answer:
C.
Step-by-step explanation:
distribute the 4 to the quantity (x+3)
we get: 4x + 12 so your answer is C.
I would appreciate if someone answered this it’s due in 15 mins and I’m scared cause it’s a big part of my grade I will give a brainlist to whoever answers it correctly
Answer:
MP=18
Perimeter of ∆LMP=42
Answer:
MP= 18
Perimeter is 42
Step-by-step explanation:
The midsegment is always half of the third side
LP=LO/2
LP=15
18+15+9=42
PLEASE HELP MEE!!!!!!!!Joshua is 11 years old, and his dad is 33
years old. What is the ratio of Joshua's
age to his dad's age?
Answer:
11:33 or in simplified terms 1:3
Step-by-step explanation:
Hope this helps!:)
Math Finals HELPP
Jay has an online biology quiz due every 5 days and an online
math quiz due every 4 days. If both quizzes were due on June
6, when is the next day both quizzes will be due again?
JUNE
Sun
Mon
Tue
Wed
Thu
1
2
Fr Sat
3 4
10 11
17 18
8
9
5
12
7
14
13
15
16
23
19
21
24
20
27
25
22
29
26
28
30
A. June 13
B. June 16
c. June 26
D. June 29
Answer:
June 26th
Step-by-step explanation:
24/30 in the simplest form
Answer:
The answer to this question is 4/5.
Answer:
4/5 or 0.8
Step-by-step explanation:
we divide tap and bottom by 6.
1. The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?
2. At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise
Please need right now
Answer:
1. The new temperature would be 13°C (-2+15)
2. The temperature rose 15°C (9-(-6))
What is the solution to the inequality 14y−14≥14?
Answer:
[tex]y \geqslant 2[/tex]
Step-by-step explanation:
1. Add 14 to both sides.
[tex]14y \geqslant 28[/tex]
2. Divide both sides by 14.
[tex]y \geqslant 2[/tex]
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
Answer:
13 songs
Step-by-step explanation:
40 divided by 2.89 is 13.84. DO NOT ROUND TO 14
So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs
PLEASE ANSWER AND HELP
Anissa plans to save for a pir of
headphones that are $85.00. The sales
tax rate is 8%. How much will Anissa
need to save?
What is the first step in evaluating the expression shown below?
(12.9 – 3.1) × 6.2 – 2 + 43
A. Multiply 3.1 and 6.2
B.Add 2 and 43.
C.Subtract 3.1 from 12.9
D.Subtract 2 from 6.2.
HELPPPP
Answer:
C.Subtract 3.1 from 12.9
Step-by-step explanation:
brainest plz
Which expression is equal to 2xx−2−x+3x+5?
Answer:
It's the fourth one
Following are the solution to the given expression:
Given:
[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]
To find:
Expression =?
Solution:
[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]
Therefore, the answer is "last choice".
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Last Sunday the average temperature was 8% higher than the average temperature Sundays ago. The average temperature two Sundays ago was t degrees Celsius chose the answer
Answer:
1.08.
Step-by-step explanation: