Find the values of all 6 trigonometric functions for the angle inside right triangle where the opposite side of the angle is 9 cm and hypothenuse of the triangle is 13 cm.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Find the missing leg x first using Pythagorean:

[tex]x=\sqrt{13^2-9^2} =\sqrt{169-81} =\sqrt{88}[/tex]

Now the 6 functions, considering angle α opposite to leg with length of 9:

sine = opposite/hypotenuse

sin α = 9 / 13

cosine = adjacent/hypotenuse

cos α = √88 / 13

tangent = opposite / adjacent

tan α = 9 / √88

cotangent = adjacent / opposite

cot α = √88 / 9

secant = hypotenuse / adjacent

sec α = 13 / √88

cosecant = hypotenuse / opposite

csc α = 13 / 9
Answer 2
P=9cmH=13cm

B=

[tex]\\ \sf\longmapsto \sqrt{13^2-9^2}=\sqrt{169-81}=\sqrt{88}\approx9.5[/tex]

Now

[tex]\\ \sf\longmapsto sinA=\dfrac{P}{H}=\dfrac{9}{13}[/tex]

[tex]\\ \sf\longmapsto cosA=\dfrac{B}{H}=\dfrac{9.5}{13}[/tex]

[tex]\\ \sf\longmapsto tanA=\dfrac{P}{B}=\dfrac{9}{9.5}[/tex]

[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{9.5}{9}[/tex]

[tex]\\ \sf\longmapsto secA=\dfrac{1}{cosA}=\dfrac{13}{9.5}[/tex]

[tex]\\ \sf\longmapsto cosecA=\dfrac{1}{sinA}=\dfrac{13}{9}[/tex]


Related Questions

If 1 + 2 = 1, 2 + 3 = 2, 3 + 4 = 3, 4 + 5 = 4, … 50 + 51 = 50 and 51 +
1 = 51, then what is the sum of 1, 2, 3, … , 51?

Answers

Answer: 1326

Step-by-step explanation: There is no factorial for addition however the formula n (n+1)/2 works for this where n is the last number of your addition (in this case 51).

Would appreciate brainly <3

What is the discriminant of the polynomial below?
4x2 - 20x+ 25
O A. -360
O B. o
O C. 300
O D. -20

Answers

Answer:

B. 0

Step-by-step explanation:

ax² + bx + 1 = 0

discriminant = b² - 4ac

4x² - 20x + 25

a = 4

b = -20

c = 25

b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0

Answer: B. 0

Given the graph of g(x), which is a transformation of f(x)=|x|, write the equation for g(x).

Graph:

Transformations performed:

Equation:

g(x)=

Answers

Step-by-step explanation:

g(x) = -f(x+1) + 2

f(x) is first reflected across the x-axis and then translated 1 unit to the left and 2 units up.

If √(0.09×0.09×x) = 0.09 × 0.09×√z, then the value of x/y is____.​

Answers

Given that-

√(0.09×0.09×x) = 0.09×0.09×√z

On squaring both sides then

⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²

⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²

⇛ (0.09)² × x = (0.09)²×(0.09)²×z

⇛ (0.09)² × x/z = (0.09)²×(0.09)²

⇛x/z = (0.09)²×(0.09)²/(0.09)²

⇛x/z = (0.09)²

⇛x/z = 0.09×0.09

⇛x/z = 0.0081

Answer:- Hence the value of x/z will be 0.0081 r respectively.

hello, i need help c:

Answers

Answer: there were 50 guests

Step-by-step explanation:

Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for ​$12.65. Mary Ann bought 6 of each for ​$12.30. What is the price of each type of​ pastry?

Answers

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

Bill's equation is 5p+7d=$12.65. Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you [tex]p=\frac{12.65-7d}{5}[/tex]. Then, you can substitute that into Mary Ann's equation. This looks like [tex]6\cdot \frac{12.65-7d}{5}+6d=12.3[/tex]. Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.

a certain manufacturer can produce f(x,y)= 20(6x^3+y^2) units of goods by utilizing x units of labor and y units of capital. Which of the following gives the marginal productivity of labor when x=10 and y=20

Answers

Answer:

e

Step-by-step explanation:

e

2/3 times what equals 3/2

Answers

[tex]\dfrac 23 \cdot x = \dfrac 32 \\\\\implies 2x = \dfrac 92\\\\\implies x =\dfrac 94[/tex]

GIVING OUT BRAINLIEST

Answers

Answer:

y = 700x - 8

Step-by-step explanation:

which inequality is true when the value of H is -14 I'ma post a picture​

Answers

Answer:

h + 10 > - 9.5 is the correct answer

Marking as brainliest! Great the similarity statement!

Answers

Answer

1. ΔABC ≅ ΔEFG

2. ΔMKL ≅ ΔVKU

3. ΔMLN ≅ ΔNCD (With this one I couldn't fully read the letter in the middle. I couldn't tell if it was an N or a B so just swap it for the right letter. <3)

4. ΔFGH ≅ ΔRHQ

5. ΔUVL ≅ ΔMNL

6. ΔQRS ≅ ΔVUT

Step-by-step explanation:

hope this helps. . .<3

good luck! UwU

how many times does 32 go into 7500​

Answers

Answer:

yy

Step-by-step explanation:

Answer:

234.375

Step-by-step explanation:

divide 7500 by 32, and you'll get the number of times 32 goes into 7500.

7500 ÷ 32 = 234.375

and if the question is asking for whole numbers it would be just 234 times (and a 3/8)

The set of all numbers less than or equal to -1

Answers

Answer:

-10,-100,-8,-7,-2,-4,-5,-20,-6,-3,-7

Identify the initial amount a and the rate of growth r (as a percent) of the exponential function f(t) = 1500(1.074)t. Evaluate the
function when t=5. Round your answer to the nearest tenth.
A=
R=%
When t=5, f(5)=

Answers

The initial amount is the first number = 1500

Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%

Replace t with 5 and solve

1500(1.074) ^5 = $2143.45

Answer:

The growth rate is 7.4% and the initial amount is 1500. The answer when t=5 is 2143.45.

Step-by-step explanation:

Assuming this is actually supposed to be written as 1500*(1.074)^t, then this equation follows the standard growth form y = A(1+r)^t where A represents the initial amount, r represents the rate as a decimal, and t represents time. This means that 1500 (A) would be the initial amount, and if you subtract 1 from what's inside the paratheses, you will get the r rate as a decimal. To get this as a percent, simply multiply it by 100, so you will get 7.4% as your growth rate.

To find what the answer would be when t = 5, just plug in 5 for the value of t in the equation.

f(5) = 1500*(1.074^5)

f(5) = 1500*(1.42896)

f(5) = 2143.45

SOCCER TRACK GOLF 112 74 59 # OF STUDENTS There are 450 7th graders at Lakeside Middle School. The chart above shows the number that participate in a certain sport Find and fix the incorrect statement #1. About 55% of 7 graders do not play a sport #2: Of the students who play a sport, 24% play golf #3: Of the students who play a sport, 46% play soccer #4: About 16% of all 7 graders run track HURRYYYYYYYYYYYYY​

Answers

Answer: about 14% of the 7 grade don't play sports

Step-by-step explanation: i think

HELP ME PLEASE ASAP ASAP

Answers

The answer to this question is £155

If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds

Answers

Answer:

5 beats per second

Step-by-step explanation:

statistic operation depends

2.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?

A. The axis of symmetry is x = −1 and the vertex is (−1, 0).

B. The axis of symmetry is x = 0 and the vertex is (0, 1).

C. The axis of symmetry is x = 1 and the vertex is (1, 4).

D. The axis of symmetry is x = 1 and the vertex is (1, 2).

Answers

Answer:

The answer is A. The axis of symmetry is x= -1 and the vertex is (-1,0)

Step-by-step explanation:

Answer: x=1

A. The axis of symmetry is x = −1 and the vertex is (−1, 0).

Step-by-step explanation:  graph{x^2+2x+1 [-10, 10, -5, 5]}

Explanation:

This is a quadratic equation so it makes a Parabola on a graph.

Information:

x-intercept: (1,0)

y-intercept: (0,1)

vertex: (1,0)

line of symmetry: x=1

...............................................................................................................................................

The answer is option a via completing the square

y= x^2+2x+1

y= (x+1)^2+1

so it will have an aos of -1 and a vertex of (-1,0)

...............................................................................................................................................

it will have an aos of -1 and a vertex of (-1,0)

Step-by-step explanation:

made a 100%

There are 26 3rd graders in 32 4th graders going on a field trip each van can carry 10 students how many students will be in each van

Answers

Answer:

There will be 10 students in each van, and only 8 in one van

Step-by-step explanation:

26 + 32 = 58

Find the discriminant of the quadratic equation.

2i2+6i=4

Answers

[tex] {2i}^{2} + 6i = 4 \\ {8i }^{2} = 4 \\ 8i = \sqrt[2]{4} \\ 8i = 2 \\ i = \frac{2}{8} \\ i = \frac{1}{4} [/tex]

- BRAINLIEST answerer

The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)

Answers

The statement is true: the area under the graph line made with the x-axis

represents the change in position of the object on a velocity versus time

graph.

Reasons:

[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]

The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.

A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.

Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.

Learn more here:

https://brainly.com/question/18910091

Answer: True

Step-by-step explanation:

a bird is flying 1200 feet above the see level. at a particular point it is directly above a fish floating at 400 feet below the see level .by how much the bird must descend its flight to be as far as from the see level,as the fish is​

Answers

200 feet ur welcome :)

Answer:

Ok the answer is 200 feet

Help help help help please please

Answers

you would move each coordinate 6 left and 1 up

A(2,5)
B(0,2)
C(-1,3)

hope this helps!


5) Which has more people? A car that is
full or a car that is full?

Answers

Answer:

a car that is full

Step-by-step explanation:

Answer:

mm definitely a car that is full

Step-by-step explanation:

Someone help me on PART B:

Answers

Step-by-step explanation:

given expression,

4(3x - 1) - 2(6 + 2x)

given,

x = 12.5

so q/q

→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]

→ 4(37.5 - 1) - 2(6 + 25)

→ 4 × 36.5 - 2 × 31

→ 146 - 62

→ 84

therefore, 84 articles store received last Thursday.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

Answer:

84

Step-by-step explanation:

Let ABC ≃DEF. Find mE

The value of mE is blank degree

Answers

Answer:

m∠E = 124°

Step-by-step explanation:

Since the triangles are congruent, B and E are automatically congruent, since they are corresponding angles.

First, we must find the value of y.

Set both measures equal to each other.

98 + y = 6y - 32.

Subtract y from both sides.

98 = 5y - 32

Add 32 on both sides.

130 = 5y

Divide 5 on both sides.

y = 26

Substitute y for angle E.

E = 6(26) - 32

E = 156 - 32

E = 124°

Someone pleases answer!

Answers

Answer:

Both are 65 degrees

Step-by-step explanation:

because you have parrallel lines, 2 would be the same as 65

Because 1 is on the opposite of 2, it would be the same

If f(3) = 24, what is f-1 (24)?

Answers

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

7. Eddicycle Cycle Shop sells the Ultra Extreme X mountain bike for $179.98. Kammie Cycles sells the same
bicycle for $280.20. Today, Kammie Cycles decides to offer a 19% discount on the mountain bike. Which
store offers the better deal?
A Kammie Cycles
B Eddicycle Cycle Shop
Luisa sella otuff

Answers

Answer:

edficycle cycle shop luisa sella otuff

Which represents discrete data? Question 17 options: A) The price of hamburger meat per pound B) The volume of water in a swimming pool C) The number of pens in a package D) The speed of a train

Answers

Answer: C

Step-by-step explanation:

The Number Of pen in a package.

Answer:

B

Step-by-step explanation:

The number of pins in package

Other Questions
Jon paid $40 for a shirt, but later that week theprice had been raised by 15%...how much didthe shirt go up?Please give a walk through ty Are all humans capable of true evil? Why or why not? Simplify the expression.2(a-3)= 1) Did Washington's troops in the revolutionary war trust him? If so, how? If not, how? 2) Who urged Washington to become president? Do you think it is fair for law enforcement officers to be able to stop and frisk citizens? Why or why not? gemomtry plz help 15 points When a person goes on a diet, do they really want to lose weight or mass?Need answer asap Thinking about the function of the flower organ, what advantage does a flowering plant have over a nonflowering plant?. A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each bookprinted. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.Please answer me ASAP I need an answer. imagine that you got an opportunity to meet one of your favourite actress for about an hour narrate about how you met him or her what you did and how you felt about the meeting 29.0 argon combine completely with 4.30 g of Sulfur.Calculate the percent compositions of the compounds that are formed from the reaction how many countries does the united kingdom comprise? Help please i do not know how to read that chart Two towers of height 40 m and 30 m respectively support a transmission line conductor at water crossing. The horizontal distance between the towers is 300 m. If the tension in the conductor is 1590 kg, find the clearance of the conductor at a point mid-way between the supports. Weight of conductor is 08 kg/m. Bases of the towers can be considered to be at the water level. why is it important photosynthetic organisms to have access to water si es imposibles escapar de un agujero negro hasta donde podrias acercarte para aprovechar la aceleracion de su gravedad? what is the largest number you can make with these digits ? 2 5 9 6 answer _____________ Rumi and Iram are in an arranged marriage and have been married for a little more than a year. Because they have not been together very long and did not know much about each other before the marriage, the passion and intimacy between them is relatively weak. According to Sternberg, what type of love do you think they are experiencing at this time I will give 20 points when two haploid gametes unite, they create a diploid cell called a