How do you find the values of all six trigonometric functions of a right triangle ABC where C is
the right angle, given a = 20, b = 21, c = 29?

x < 3 17/20

Step-by-step explanation:

yes

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

Part (a)

The unit circle is centered at (0,0). This point is the origin.

The radius of the unit circle is 1

The term "unit" means "one", which describes the radius length.

=========================================================

Part (b)

The equation of the unit circle is x^2+y^2 = 1

The general equation of any circle is (x-h)^2+(y-k)^2 = r^2

In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.

=========================================================

Part (c)

The following four points are on the unit circle

As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.

For example, if we know x = 1, then...

x^2+y^2 = 1

1^2+y^2 = 1

1+y^2 = 1

y^2 = 1-1

y^2 = 0

y = sqrt(0)

y = 0

Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.

Answer:

F is the answer pls mark me branilest

To find the total weight of the books, you can multiply the weight of each book by the total number of books.Each book weighs 5/8 pound, and Jada has 6 of them, so:Total weight = 5/8 * 6

Total weight = 30/8

Total weight = 15/4Therefore, the books altogether weigh 15/4 pounds, or 3 and 3/4 pounds.

Answer: 24

Step-by-step explanation:

1 hour = 6

So, 6 times 4 equals 24 which is how much temperature that changed.

Answer:

24

Step-by-step explanation:

1 hour = 6

So, 6 times 4 equals 24 which is how much temperature that changed.

Answer: 2.01

Step-by-step explanation

“Odds of a person who owns a dog is NOT depressed”/ “odds of a person who does NOT own a dog is NOT depressed”

aka

(412/251)/(305/374) =
412/251 x 374/305=
154,088/77,555…

total answer= 2.01

The odds ratio of not being depressed for those who have a dog

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that, The data is,

                        Depressed Not depressed Total

Owns a dog   251           412                  663

Does not owns a dog 625   717                 1342

The probability that a dog owner is not depressed is equivalent to the likelihood that a dog owner is not depressed.

Thus, the odds ratio of not being depressed for those who have a dog

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Step-by-step explanation:

2xy+5=21

2xy+5-5=21-5

2xy=16

2xy÷2=16÷2

xy=8 or 2xy=16

Answer:

u(12-v)

Step-by-step explanation:

12u and -uv both have a factor of u in common, so we can pull it out to give us the factored expression u(12-v).

Note on factoring:

Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.

Answer: He will need 1 1/4 cups of butter

Step-by-step explanation:

1. We can do 28/8 to find how much we need to multiply our 1/2 cup of butter to keep the ratio of people to cups of butter the same. 28/8= 3 1/2

2. Then we can multiply 3 1/2 and 1/2 to get 1 1/4 cups of butter.

Joaquin requires 5.25 cups of butter to serve 28 people.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that the original recipe serves 8 people and requires 1/2 of a cup of butter but he needs it to serve 28 people.

Let the quantity of butter required for the new recipe be x.

To determine how much to multiply our 1/2 cup of butter in order to keep the same proportion of persons to cups of butter,

we can use the ratio of 28/8.

So, 8:1.5::28:x

⇒ 8x = 42

⇒ x = 5.25

Hence, Joaquin requires 5.25 cups of butter to serve 28 people.

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The required, Tyshawn would need to sell 9 computers to make $225 on a given day.

We can use the values from the table to find the slope of the linear relationship between x and P. We know that the relationship is linear because the table shows a constant increase in P as x increases by the same amount each time.

To find the slope, we can choose any two pairs of values from the table and use the formula:

slope = (change in P) / (change in x)

Using the first and second pairs of values, we get:

slope = (165 - 135) / (5 - 3) = 15

This tells us that Tyshawn's pay increases by $15 for each additional computer he sells.

Now we can use the point-slope form of the equation of a line to find the number of computers he would need to sell to make $225. We know that his pay starts at a base amount and increases by $15 for each computer sold, so the equation is:

P = 15x + b

where b is the base pay amount. We can find b by using one of the pairs of values from the table. Using the first pair, we get:

135 = 15(3) + b

b = 90

So the equation for Tyshawn's pay is:

P = 15x + 90

To find how many computers he needs to sell to make $225, we can substitute P = 225 into the equation and solve for x:

225 = 15x + 90

x = 9

Therefore, Tyshawn would need to sell 9 computers to make $225 on a given day.

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Answer:

I think it's C but I'm still thinking about this but it's C I think

Step-by-step explanation:

Answer:

I'm assuming you are looking for the amount of possible outcomes

1. 10 possible outcomes

2. 15 possible outcomes

Step-by-step explanation:

When you first start solving these problems the easiest thing to do is create a diagram of sorts to list all of your possible outcomes. For the first question the coin will either land on heads or tails and the spinner will land on the numbers 1, 2, 3, 4, or 5. Therefore the possible outcomes are H1, H2, H3, H4, H5, T1, T2, T3, T4, or T5. Add them up to get 10 possible outcomes. For the second question you will either pick 1, 2, 3, 4, or 5 and the colors red, white, or blue. Listing out all the possibilities gives you 1R, 2R, 3R, 4R, 5R, 1W, 2W, 3W, 4W, 5W,1B, 2B, 3B, 4B, or 5B. Add them up to get 15 possible outcomes.

Alternatively

For the first question you flip a coin thus you have a 1/2 chance for landing on either, then you spin the wheel where you have a 1/5 chance to land on any of the numbers. Multiply these values together you have a 1/10 chance, therefore there are 10 possible outcomes.

For the second question you have a 1/5 chance for the number and a 1/3 chance for the color. Multiply to get 1/15, therefore you have 15 possible outcomes.

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.

Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.

According to the given information:

The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.

The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.

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The length of DE is approximately 7.71 cm which finds by the use of the law of sines to solve for the length of DE.

The law of sines is a theorem in trigonometry that relates the sides and angles of any triangle. Specifically, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. Mathematically, the law of sines can be written as:

a/sin(A) = b/sin(B) = c/sin(C)

Trigonometric functions are mathematical functions that relate angles to the ratios of the sides of a right triangle. The six primary trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Each function represents a different ratio of two sides of a right triangle and can be used to solve problems in geometry, physics, engineering, and other fields that involve angles and triangles. Trigonometric functions are also used to model periodic phenomena, such as sound waves and electromagnetic radiation. They are a fundamental part of mathematics and have numerous applications in science and technology.

According to the given information

We can use the law of sines to solve for the length of DE. Let's start by finding angle BAC:

angle BAC = 180 - angle ABC - angle ACB = 180 - 64 - 90 = 26 degrees

Now we can use the law of sines:

DE/sin(90) = CD/sin(26)

DE = CD * sin(26)

Substituting in the given values, we have:

DE = 16 * sin(26)

DE ≈ 7.71 cm (rounded to 3 significant figures)

Therefore, the length of DE is approximately 7.71 cm.

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Considering the expression of a line, the slope of line that passes through points (-2,7) and (-3,3) is 4.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m can be calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (-2, 7) and (x₂, y₂)= (-3, 3), the slope can be calculated as:

m= (3 -7)÷ (-3 -(-2))

m= (3 -7)÷ (-3 +2)

m= (-4)÷ (-1)

m= 4

Finally, the slope is 4.

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Answer:

56 half dollars

Step-by-step explanation:

A half dollar is 1/2 of a dollar so divide 28 by 1/2

28 / 1/2

Copy dot flip

28 * 2/1

56

56 half dollars

Answer:

656×1000

Step-by-step explanation:

Answer:

que

Step-by-step explanation:

no ablo ese idioma v

Answer:

$5122.04

Step-by-step explanation:

Continous interest formula:

\(P*e^{rt}\)=A

we have

\(3675*e^{4*.083}\\3675*1.39375284861\\5122.04171828\)

Which rounds to

5122.04

Answer:

Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each

there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each

the total value off all of these together is $2.68

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

5/14

Step-by-step explanation:

Answer:it took  the particle 50,000,000 seconds to travel the specified distance

Step-by-step explanation:

Given that distance = Rate x time

Distance traveled by Particle= 9.0×10^12 meters

and rate= 1.8×105 meters per second

Time taken for particle to travel the specified distance  using our equation that

distance = Rate x time

time = Distance / Rate

=9.0×10^12 meters/ 1.8×105 meters per second

=50,000,000 seconds