Evaluate the six trigonometric functions of the angle 0
is right
Answer:
1. Sine θ = 1/3
2. Cos θ = 2√2 / 3
3. Tan θ = √2 / 4
4. Cosec θ = 3
5. Sec θ = 3√2 / 4
6. Cot θ = 2√2
Step-by-step explanation:
We'll begin by determining the adjacent. This can be obtained as follow:
Hypothenus (Hypo) = 9
Opposite (Opp) = 3
Adjacent (Adj) =?
Hypo² = Adj² + Opp²
9² = Adj² + 3²
81 = Adj² + 9
81 – 9 = Adj²
72 = Adj²
Take the square root of both side
Adj = √72
Adj = 6√2
Finally, we shall determine six trigonometric functions of the angle θ. This Can be obtained as follow:
1. Determination of Sine θ
Hypothenus = 9
Opposite = 3
Sine θ =?
Sine θ = Opposite / Hypothenus
Sine θ = 3/9
Sine θ = 1/3
2. Determination of Cos θ
Adjacent = 6√2
Hypothenus = 9
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = 6√2 / 9
Cos θ = 2√2 / 3
3. Determination of Tan θ
Opposite = 3
Adjacent = 6√2
Tan θ =?
Tan θ = Opposite / Adjacent
Tan θ = 3 / 6√2
Tan θ = 1 / 2√2
Rationalise
(1 / 2√2) × (2√2 /2√2)
= 2√2 / 4×2
Tan θ = √2 / 4
4. Determination of Cosec θ
Sine θ = 1/3
Cosec θ =?
Cosec θ = 1 / Sine θ
Cosec θ = 1 ÷ 1/3
Cosec θ = 1 × 3/1
Cosec θ = 3
5. Determination of sec θ
Cos θ = 2√2 / 3
Sec θ =?
Sec θ = 1 / Cos θ
Sec θ = 1 ÷ 2√2 / 3
Sec θ = 1 × 3 / 2√2
Sec θ = 3 / 2√2
Rationalise
= (3 / 2√2) × (2√2 / 2√2)
= 3 × 2√2 / 4×2
Sec θ = 3√2 / 4
6. Determination of Cot θ
Tan θ = √2 / 4
Cot θ =?
Cot θ = 1 / Tan θ
Cot θ = 1 ÷ √2 / 4
Cot θ = 1 × 4 / √2
Cot θ = 4 / √2
Rationalise
= (4 / √2) × (√2 / √2)
= 4√2 / 2
Cot θ = 2√2
Will mark brainliest!
Find the area of the triangle.
Answer:
the answer is 43.5. i am a 100% sure.
Step-by-step explanation:
3-(1/3) to the 4th power
Answer:
if im reading it right its 8.3521
Step-by-step explanation:
PLEASE HELP
*NO LINKS*
Answer:
its the 2nd one the answer is 1 because 2 times 1 equals one plus 3=1
Step-by-step explanation:
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
1/3
Step-by-step explanation:
i used the points (0,-2) and (3,-1) to find the slope:
(-2--1) / (0-3) = -1/-3 or 1/3
HELP I HAVE FSA GIVE ME SOME TIPSSS
Answer:
Plan ahead for medical expenses.
Spend your money.
Save your receipts.
Use your FSA to pay expenses your health plan doesn't cover.
Use your FSA to reach health plan financial milestones.
Know what your FSA covers.
Know your FSA balance.
Step-by-step explanation:
Answer:
Okay so I just took the FSA and my biggest tip is to just relax and don't overthink. Another tip that is kinda weird is to chew gum/mint. They normally hand it out to you but stopped for coronavirus. It helps you focus and it helps calm you. Make sure you double check your answers and if you don't know a question go back over it and re read it. Also pay attention to other questions because sometimes a question from the same passage helps you with a previous one. You're going to do well and good luck!
Step-by-step explanation:
What is the value of x in the equation −8 + x = −2? (1 point) Group of answer choices −10 −6 6 10
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
If you add 8 on each side to get x by itself you'll get
x=6
Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on to the soccer field. The soccer field is 1000 meters from her home. How far east did Leah walk?
Answer:
800m
Step-by-step explanation:
this would be solved using Pythagoras theorem
we are to find the base
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
600² + b² = 100²
b² = 10000 - 3600
b² = 6400
take the square root of both sides
b = 800m
What does r equal A B C or D
Answer:
b i think
Step-by-step explanation:
Help! This is due today and I'm stuck on the last problem.
Brainiest for best answer.
NO LINKS! If you put a link, I will report you.
Find the area of the shaded region rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Square
519450.2
Holes
Semi-circle: 1/2*pi*r^2
diameter = 700/2 = 350 =radius
1/2*pi*350 = 175*pi
Triangle
1/2 b*h
1/2 200*400
100*400
40000
Take out the semi circle and triangle
560000-40000-175*pi
520000-175*pi = 519450.2
Can someone help me find the diameter of the copper ball ty
Answer:
The answer is 346.185 if its diameter is 22.
Which expression is equivalent to 10x2y + 25x2?
5x2(2y + 5)
5x2y(5 + 20y)
10xy(x + 15y)
10x2(y + 25)
There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly
select another card. What is the probability that the first card is an even number and the second card is less than 3?
Write your answer as a fraction in simplest form.
Answer:
1/10.
Step-by-step explanation:
The probability of getting an even card out of 10 cards numbered 1 - 10 is 1/2. The even numbers available are 2, 4, 6, 8, and 10 while the odd ones available are 1, 3, 5, 7, and 9. So half the outcomes could come out even.
The probability the second card is less than two is 1/5 (2/10 simplified). Since there are 10 cards with numbers 1-10, only two cards will have numbers less than 3, 1 and 2.
To find the total probability, multiply the two. (1/2) * (1/5) = 1/10. There is a 1 out of 10 chance that the first card is even and the second card is less than 3.
Answer quickly please
Answer:
d is the answer
Step-by-step explanation:
ILJ and JKI
pls help thank you so much !!
Answer:
a) (0,5)
Step-by-step explanation:
Which is the best approximation of PX
Answer:
We now want to find the best approximation to a given function. This fundamental problem in Approximation Theory can be stated in very general terms. Let V be a Normed Linear Space and W a finite-dimensional subspace of V , then for a given v ∈ V , find w∗∈ W such that kv −w∗k ≤ kv −wk, for all w ∈ W.
Step-by-step explanation:
(15 points!!) Which transformation forms a mirror image of a figure on a coordinate plane?
Answer:
BLUEE
Step-by-step explanation:
IM HOPING THIS IS CORRECT
this is what I need help with
1 and 2
Answer:
1. is no its a dialation and 2. is yes
Step-by-step explanation:
Help ASAP before 2:10
Answer:3 choice
Step-by-step explanation:
When you have this || you put the opposite mark
Answer:
D
Step-by-step explanation:
-6
-2
|-4|
|-5|
6
The || means "absolute value". Thats the distance from 0 on a number line.
PLEASE HELP GIVE BRANLIEST!!
For two events X and Y, P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5 . Find the probabilities.
1. 2/25 P(Y∩X) = ____
2.4/15 P(Y)· P(X) =____
Answer:
1. 2/25
2. 4/15
Step-by-step explanation:
1. P(Y∩X)
Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.
So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25
2. P(Y)· P(X)
P(Y)· P(X) = 2/3 × 2/5 = 4/15
a lego brick is 5/6 of a cm long, how long will the total length of 336 bricks be?
Answer:
278.88 cm
Step-by-step explanation:
An airplane's altitude in feet during its descent can be found using the equation y=-150x + 30,500. After new government regulations become law, the descent isnow modeled by the equation y=-150x + 30,000. Which statement describes this change?
The airplane starts its descent from an altitude 500 feet lower.
The airplane descends 500 feet per horizontal mile slower.
The airplane descends 500 feet per horizontal mile faster.
The airplane starts its descent from an altitude of 500 feet.
Answer:
The airplane would starts its descent from an altitude 500 feet lower.
Step-by-step explanation:
The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.
please help! will give brainliest! review the graph of function f(x) for which values of c does lim f(x) not exist?
(graph and answer choices pictured)
Answer:
-2
Step-by-step explanation:
PLSSSSSS HELP GIVING BRAINLIEST
The probability of rolling a 6 with a six-sided number cube is . Choose the
likelihood that best describes the probability of this event.
A. Impossible
O B. Likely
C. Unlikely
O D. Neither likely nor unlikely
Step-by-step explanation:
That probability is 1/6 (one in six). Certainly this outcome could happen, but the probability that it won't happen is 1 - 1/6, or 5/6. Answer C is correct.
lol please help me i really don’t get this
Answer:
If y is inversely proportional to x then y is 3
Chiquita had $463.28 in her checking account. She made deposits of $28.35 and$78.88. She paid her electric bill of $77.50.How much money was in Chiquita’s account after the deposits and after she paid her bill?
Answer:
$493.01
Step-by-step explanation:
463.28 + 28.35 + 78.88 - 77.50
Answer:
493.01
Step-by-step explanation:
463.28 + (28.35+78.88) = 570.51
Deposits means to add money.
570.51 - 77.50 = 493.01
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score? Write and solve the equation.
Answer:
Andre scored 14 points
Step-by-step explanation:
D = A - 9
N = 2D = 10
2D = 10
D = 5
5 = A - 9
14 = A
Answer:
Diego scored 14 points
x = 14
PLEASE HELP i will give brainliest
Solve the inequality. Enter the answer as an inequality showing the value of the variable to a number (like s < 1/2, or w = 1).
2x < -10
Answer:
x < -5
Step-by-step explanation:
For the most part, you solve inequalities the same way you solve equations. So for this one, we just needed to divide both sides by 2.
The solution to the inequality is: x < -5. To solve the inequality 2x < -10, follow these steps:
1. Divide both sides of the inequality by 2 to isolate x.
2. Remember to reverse the inequality sign when dividing by a negative number.
Step 1: Divide both sides by 2:
(2x) / 2 < (-10) / 2
Step 2: Simplify:
x < -5
The solution to the inequality is:
x < -5
To know more about inequality:
https://brainly.com/question/20383699
#SPJ2
3⋅2^x/5=150 Which of the following is the solution of the equation?
Answer:
x=7.965784
Step-by-step explanation: