Please help!
Inverse cosine is used to find a given angle measure when we know the ________ and the ________.
A. same side; other side
B. opposite side; hypotenuse
C. opposite side; adjacent side
D. adjacent side; hypotenuse

Answer:

B

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 2.5^2 = 3.5^2

a^2 + 6.25 = 12.25

-6.25 -6.25

a^2 = 6

√6 ≈ 2.5

2.5 + 2.5 + 3.5 = 8.5

8.5 × 3 = 25.5

Answer:

slope is 5/4

Step-by-step explanation:

The equation of the line is written in the form

y = mx+b where m is the slope and b is the y intercept

y = 5/4x -7/4

The slope is 5/4 and the y intercept is -74

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

Read more about Degree of Polynomials at: https://brainly.com/question/1600696

#SPJ1

Answer:

8

Step-by-step explanation:

Answer:

Let a be the larger number

Let b be the smaller number

A= b+7

Step-by-step explanation:

Hope this helps :) Have a great day!!!

Answer: 1st, 2nd, and 3rd option are correct :) ✨

Step-by-step explanation:

Answer:

A, B, C

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

For more such questions on explicit

https://brainly.com/question/30394385

#SPJ8

The roots of the given quadratic equation are 5 and -4

Quadratics are the polynomial equation which has the highest degree of 2. Also, called quadratic equations.

Given is an equation 3x²-13x-10 = 0, we need to solve by using completing the square method,

The given equation is =

3x²-13x-10 = 0

3(x²-13x/3-10/3) = 0

3(x²-2x·13x/6-10/3) = 0

Adding and subtracting (13/6)²

3(x²-2x·13x/6+(13/6)²-(13/6)²-10/3) = 0

3[(x-13/6)²-169/36-10/3] = 0

3[(x-13/6)²-289/36] = 0

(x-13/6)²-289/36 = 0

(x-13/6)² = 289/36

Taking roots,

x-13/6 = ±17/6

x = 17/6+13/6

x = 5

Or,

x = -17/6+13/6

x = -4

Hence, the roots of the given quadratic equation are 5 and -4

Learn more about quadratic equation, click;

https://brainly.com/question/30098550

#SPJ9

Answer:

8 and 9

Step-by-step explanation:

Answer:

Think!

72 + 82 = 49 + 64 = 113

82 + 92 = 64 + 81 = 145

Step-by-step explanation:

Found the answer by simple experimentation.

hope this helps

Answer:

My dream home would be a large house, with a swimming pool and a balcony. I'd like it to be overlooking the ocean and I'd like to have a dock form which I could go boating. I'd like to have a circular driveway and a garage with several luxury cars. I'd also like to have a personal chef with a large kitchen. I'd also have a gaming room with the latest gaming equipment. Lastly, I'd like a big bedroom with a circular bed!

Brainliest if this was helpful plz :)

Answer:

My dream home will be big. It will have a big driveway and nice cars. I'd like to have a basketball court too and a golf kart. Also, I'd have an ATV and trails in my backyard. I'd have a pool and a tennis court. I'd also have a big garage for all my vehicles. I'd have a big kitchen and a big room to relax in with my gaming equipment there too. Then, I'd have a nice green lawn.

Step-by-step explanation:

Answer:

It is 6.5 meters

The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.

9514 1404 393

Answer:

  182 lbs

Step-by-step explanation:

You can write the proportion for the required patient weight (w) as ...

  weight/medicine = w/(174.72 mg) = (150 lb)/(144 mg)

  w = (150 lb)(174.72/144) . . . . . multiply by 174.72 mg

  w ≈ 182 lb

The patient's weight is 182 pounds.

Answer:

x-intercept (-7 , 0)

y-intercept (0 , 2)

Step-by-step explanation:

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

for such more question on secant slope

https://brainly.com/question/27877215

#SPJ8

The statement is proved that the triangle ∆ADB is congruent to the triangle ∆ADC.

Given that,

We have to prove the statement is triangle ADB congruent to Triangle ADC

We know that

From the image

BD = DC = 3cm.

AD ⟂ BC .

So,

in ∆ADB and ∆ADC, we have,

→ AD = AD (common)

→ ∠ADB = ∠ADC (AD ⟂ BC so, 90°)

→ DB = DC (given both 3cm.)

Thus,

→ ∆ADB ~ ∆ADC (By SAS) { According to the SAS rule, two triangles are said to be congruent if any two sides and any angle contained between the sides of one triangle = The matching two sides and the angle between the sides of the second triangle. }

Therefore, The statement is proved that the triangle ∆ADB is congruent to the triangle ∆ADC.

To learn more about triangle visit: https://brainly.com/question/2773823

#SPJ4

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Considering the data, option A would be the best graph to use in this case.

A bar graph, also known as a bar chart, is a graphical representation of data using rectangular bars or columns to represent the values of each category or group of the data. The height or length of each bar is proportional to the value it represents, and each bar is typically separated by a small space or gap

We must study the data in order to determine which graph is best suited for this scenario. In this instance, there is a correlation between the toppings and the proportion of consumers who like each variation.

As a result of the above, we can state that option A is the greatest choice since it displays the proportion of respondents who like each topping in the order listed in the table.

To know more about rectangular, visit:

https://brainly.com/question/21416050

#SPJ1

The complete question is;

A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.

Topping Sprinkles Nuts Hot Fudge Chocolate Chips

Number of Customers 17 12 27 44

Which of the following graphs correctly displays the data?

a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44

a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44

a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27 ,and the fourth bar labeled chocolate chips going to a value of 44

a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44

Answer: a

Step-by-step explanation:

Answer:

Step-by-step explanation:

S, S, E.

Come on, do I have to spell it out for you?  :)

Answer:

your answer is 12

I've answered it before and got it right

Answer:

Hello! answer: 3

Step-by-step explanation:

Perfect circles are 360 degrees

120 × 3 = 360 therefore the answer would be 3 Hope that helps!

Answer:

shoot man couldnt tell ya

We first compute the partial derivatives of f(x, y):

f(x, y) = 5x² + 5y² - 10x + 21

∂f/∂x = 10x - 10

∂f/∂y = 10y

The critical points of f occur where both ∂f/∂x and ∂f/∂y are equal to zero. This only happens at the point (x, y) = (1, 0). (And this point does lie inside R.)

Next, compute the Hessian matrix H(x, y) for f :

\(H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2 f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}10&0\\0&10\end{bmatrix}\)

Since det(H(x,y)) = 100 is positive for all x and y, this means the critical point (1, 0) is a local minimum, and we have f(1, 0) = 16.

Next, we check for extrema along the boundary of R, which is comprised of a semicircle with radius 2 and the line segment connecting (-2, 0) and (2, 0).

• Parameterize the semicircular portion by

x(t) = 2 cos(t)

y(t) = 2 sin(t)

with 0 ≤ t ≤ π. Then

f(x(t), y(t)) = 20 sin²(t) + 20 cos²(t) - 20 cos(t) + 21

which is simplifies to a function of one variable t,

g(t) = 41 - 20 cos(t)

Find the extrema of g over the interval [0, π] : we have critical points when

g'(t) = 20 sin(t) = 0

which happens at t = 0 and t = π. At these points, we get local extreme values  of

•• t = 0   =>   x = 2 and y = 0   =>   f(2, 0) = 21

•• t = π   =>   x = -2 and y = 0   =>   f(-2, 0) = 61

• Over the line-segment portion, we take y = 0, so f(x, y) again reduces to a function of one variable:

f(x, 0) = 5x² - 10x + 21

Completing the square, we have

5x² - 10x + 21 = 5 (x - 1)² + 16

which has a maximum value of 16 when x = 1 (and this happens to be the critical point (1, 0) we found earlier).

So, over the region R, f(x, y) has

• an absolute maximum of 61 at the point (-2, 0), and

• an absolute minimum of 16 at (1, 0)

Answer:

0.5 and 7.5

Step-by-step explanation:

it says rounding them, and the answers are

0.53112887

7.53112887

Answer:

\(x = 0.5\) , \(-7.5\)

Explanation:

\(x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\)

equation:  x² + 7x -4

Here the a = 1 , b = 7 , c = -4

using the equation:

\(\hookrightarrow x = \dfrac{ -7 \pm \sqrt{(7)^2 - 4(1)(-4)}}{2(1)}\)

\(\hookrightarrow x = \dfrac{ -7 \pm \sqrt{65}}{2}\)

\(\hookrightarrow x = \dfrac{ -7 + \sqrt{65}}{2}\) , \(\dfrac{ -7 - \sqrt{65}}{2}\)

\(\hookrightarrow x = 0.5\) , \(-7.5\)

Answer:

You must round down. the answer is 1.3 ml

Answer:

4 7 + 4 6

Explanation:

Answer:

10a+6b

pls mark as brainliest.

Step-by-step explanation:

I think you mean 4a+6(a+b)?

We need to multiply out the the 6(a+b) first.

4a+6(a+b)

=> 4a+6a+6b

Then, we can add the like terms, which in this case are 4a and 6a:

=> 10a+6b

pls mark as brainliest.

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

For more such question on monopolist. visit :

https://brainly.com/question/28336090

#SPJ8