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

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

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%

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

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

2/3 times what equals 3/2

Answers

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

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

Answers

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

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.

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.

hello, i need help c:

Answers

Answer: there were 50 guests

Step-by-step explanation:

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)

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.

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!

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

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

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:

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

Answers

Answer:

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

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

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°

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


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 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

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

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

HELP ME PLEASE ASAP ASAP

Answers

The answer to this question is £155

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

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:

GIVING OUT BRAINLIEST

Answers

Answer:

y = 700x - 8

Step-by-step explanation:

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

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

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

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