can you please help me​

9514 1404 393

Answer:

  (a)  P = 44 cm + 18 cm + 18 cm = 80 cm

  (b)  396 cm²

  (c)  (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm

  (c)  (ii) 7 cm

Step-by-step explanation:

(a) The length of arc PQR is given by the formula ...

  s = rθ . . . . . where r is the radius and θ is the angle in radians

The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9

So, the arc length is ...

  PQR = (18 cm)(22/9) = 44 cm

Then the perimeter of the figure is ...

  P = PQR +RO +OP = 44 cm + 18 cm + 18 cm

  P = 80 cm

__

(b) The area of a sector is given by ...

  A = 1/2r²θ = 1/2(rs)

  A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector

__

(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:

  height = √((slant height)² - radius²) = √(18² -7²) = √275

  height ≈ 16.58 . . . cm

(ii) The length of arc PQR is the circumference of the base of the cone, given by ...

  C = 2πr . . . . where r is the radius of the base of the cone

Filling in the known values, we find ...

  44 cm = 2(22/7)r

  (44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r

The radius of the base of the cone is 7 cm.

Answer:

the answer is C

go along the x and in ue case it is going along the left which means the linear will be negative so thats x-2

and in cases like going downwards the y the linear value will also be negative so thats y-5

so its (x-2)(y-5)

Answer:

C 3/2

Step-by-step explanation:

Since triangle PRQ is the original and is getting bigger proportionally (can tell by side lengths) you can eliminate options A and B since you have to multiply by a number/fraction greater than one since it's getting bigger. Then pick a side corresponding to another side of the other triangle. For example, the side length of PQ is 8. Side length P'Q' is 12. You will need to consider how you get from that 8 since it's the original to the 12. To do that you will need to multiply by 1.5 to get to 12. this is what it means by dilation. Since 3/2=1.5 that would be your answer.

Answer:

aszdxcfgvhbjnk

Step-by-step explanation:

Answer:

$11.90

Step-by-step explanation:

79.30 times 0.15

Answer:

The answer is 11.895. That's the exact answer.

Step-by-step explanation:

Original price X Discount %

Answer:

Step-by-step explanation:

a. f(-3d) = (-3d)^2 - 2(-3d) - 8 = 9d^2 + 6d - 8

b. f(3) = (3)^2 - 2(3) - 8 = 9 - 8 - 8 = 1 - 8 = -7

c. f(2a - 1) = (2a - 1)^2 - 2(2a - 1) - 8 = 4a^2 - 4a + 1 -4a + 2 - 8 = 4a^2 - 8a - 5

d. g(5)= (2(5)+3)/(5^2 -2(5) + 1) = (10 + 3)/(25 - 10 + 1)= 13/15+1= 13/16

e. g(3x)= (2(3x) + 3))/((3x)^2 - 2(3x) + 1))= (6x + 3)/(9x^2 - 6x + 1)

f. g(-4a + 8) = (2(-4a + 8)) +  3/(-4a + 8)^2 - 2(-4a +8) +1))

         (-8a + 16 + 3)/(16a^2 - 32a + 64 + 8a - 16 + 1)

                    (-8a + 19)/(16a^2 - 24a + 49)

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The probability that a piece selected at random and is defective given that it is known to be a plate is 0.0588 or 5.88%.

To calculate the probability, we need to use Bayes' theorem: P(defective|plate) = P(plate|defective) * P(defective) / P(plate).

Therefore, P(defective|plate) = 0.2 * 0.0227 / 0.0818 = 0.0588 or 5.88%.

The probability that a cup will be chosen given that it is defective is 0.4 or 40%.

To calculate the probability, we need to use the information given in the table:

Divide the number of defective cups by the total number of defective products: 10/25 = 0.4 or 40%.

Learn more about Probability:

https://brainly.com/question/24756209

#SPJ4

Complete Question:

The following table shows the relationship of 1100 pieces between good and defective made in a ceramic workshop

cup plate vase total

Good 830 85 1415

Defective 10 5

Overall 510 90

What is the probability that a piece is selected at random and is defective given that it is known to be a plate?

What is the probability that a cup will be chosen given that it is defective?

​

There are a few different ways to approach this question, but one possible explanation is based on the fact that the sine function is periodic, meaning it repeats itself over certain intervals.

The sine function has a period of 2π, which means that sin(x + 2π) = sin(x) for any value of x.Now, let's consider the interval [-2, 2] and imagine that we want to evaluate sin(x) for some value of x outside of this interval. Without loss of generality, suppose that x > 2 (similar arguments can be made for x < -2). Then, we can write x as x = 2πn + y, where n is some integer and y is a number in the interval [0, 2π) that represents the "extra" amount beyond the interval of [-2, 2]. (Note that this decomposition is possible because the period of the sine function is 2π.)

Now, we can use the fact that sin(x + 2π) = sin(x) to rewrite sin(x) as sin(2πn + y) = sin(y). Since y is in the interval [0, 2π), we can evaluate sin(y) using any method that works for that interval (e.g., a lookup table, a series expansion, a graph, etc.). In other words, we can always "wrap" any value of x outside of [-2, 2] into the interval [0, 2π) using the periodicity of the sine function, and then evaluate sin(x) for that "wrapped" value.

Now, why did we choose the interval [-2, 2] in particular? One reason is that this interval is convenient for many practical purposes, such as approximating the sine function using polynomial or rational functions (e.g., Taylor series, Chebyshev polynomials, Padé approximants, etc.). These approximations often work best near the origin (i.e., when x is close to 0), and the interval [-2, 2] contains the origin while still being small enough to be computationally tractable.

Another reason is that many real-world applications that involve trigonometric functions (e.g., physics, engineering, statistics, etc.) often involve angles that are small enough to be within the interval [-2, 2] (e.g., angles in degrees or radians that are less than or equal to 180 degrees or π radians). In these cases, evaluating sin(x) within the interval [-2, 2] is often sufficient for practical purposes.

Learn more about polynomial here: brainly.com/question/11536910

#SPJ11

Answer:

Value of X is 11

Step-by-step explanation:

hope it helps

The sum of 25 and 4 is the result promised by the mean value theorem for numerical methods for the function over the specified interval.

G prime(c) = g(b) - g(a) b-a is the formula for the mean value hypothesis for numerical methods for the functional f(c) across the range [a, b]. The assumption is that for the given function, there is a value c between [a, b].

Given the interval [4,9] and the function g(x) = 5x

g prime (c) = g(9) - g(4) ÷ 9-4

g(9) = 5√9

g(9) = 5 × 3 = 15

g(4) = 5√4

g(4) = 5 × 2 = 10

g prime c) = 15-10 ÷ 9-4

g prime (c) = 5 ÷ 5

g prime(c) = 1

So find the numeral for which g prime (x) = g prime(c)

If g(x) = 5√x =

g prime (x) =

g prime (x) = 5 ÷ 2√x

Since g prime (c) = 1 then;

5/2√x = 1

5 = 2√x

√x = 5 ÷ 2

x = (5 ÷ 2)²

x = 25 ÷ 4

The mid-value theorem guarantees a value of c of 25 ÷ 4.

Learn more about mid-value theorem at

https://brainly.com/question/20734406?referrer=searchResults

#SPJ4

The question is -

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.)

f(x)=5√x,[4,9]

Answer:

150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

~Shoto Todoroki here~

Y=(x+4)(−x+6)

Hope this helps :D

Answer:

  C, E

Step-by-step explanation:

You want to identify the true statements about the end behavior, symmetry, domain, and range of g(x) = -5x² and f(x) = 5x-10.

The function g(x) is of even degree (the exponent is 2), and the function f(x) is of odd degree (the exponent is 1). An even-degree function cannot have the same end behavior as an odd-degree function.

The range of any odd-degree polynomial function is (-∞, +∞).

Any even-degree polynomial function will have a global maximum or minimum so cannot have the same range. The range of g(x) is (-∞, 0].

The domain of any polynomial function is "all real numbers." Both f and g have the same domain.

An even-degree function may have an axis of symmetry. An odd-degree function cannot be symmetrical about any line. The functions cannot have the same symmetry.

Two polynomial functions may have a number of points of intersection equal to the highest degree. That means a degree-1 and a degree-2 function may have up to 2 points of intersection. These two functions intersect twice, as the graph in the attachment shows.

The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

To know more about absolute value here.

https://brainly.com/question/1301718

#SPJ4

Answer:

he. haha. shyw sjIana d auhaabab ssbajiaan s

Answer:

negative 5 and 3/5

Step-by-step explanation:

-4-1&3/5

-5&3/5

negative 5 and 3/5(three fifths)

don't forget to mark as brainliest

Answer:

negative 5 and 3/5

Step-by-step explanation:

-4-1&3/5

-5&3/5

negative 5 and 3/5(three fifths)

don't forget to mark as brainliest

Step-by-step explanation:

Step-by-step explanation:

Yards of red material = 1.75

Yards of blue material = 1.75 x 1.2 = 2.1 yards

So the blue material is 2.1 yards

Answer:

Here

Given -3x+y=2

y=3x+2

by making table

x. 0. 1 2. 3

y. 2. 5. 8. 11

The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

For more question on margin visit:

https://brainly.com/question/15691460

#SPJ8

Answer:

30 Miles per hour.

Step-by-step explanation:

60 mph = 1 mile per minute.

Returning took 3 times as long so 1 mile per 3 minutes.

Average speed is total distance divided by time.

120 miles divided by 4 minutes.

120 / 4 = 30

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-6x+3y=12

You have to separate y from the other terms.

So add (-6x) to both sides and you'll get:

3y=6x+12

Step-by-step explanation:

Answer: 7.5 batches

Step-by-step explanation:

60/6 is 10, so she needs to make 10 batches in total.

10-2.5=7.5

Answer:

no. of muffins = 60 muffins

no of muffins in each batch = 6 muffins

no. of batches which got over = 2.5 batches

no. of muffins baked = 6 * 2.5 = 15

no. of muffins to be baked = 60 - 15 = 45

no. of batches required to bake 45 muffins = 45 / 6 = 7.5

hope this answer helps you!

please mark as brainliest... thank you!

Answer:

Step-by-step explanation:

Let's make a proportion:

5 min piano   -      8 min gitar

X min piano   -     64 min gitar

Olumide practice pian:

\(X=\frac{5 \cdot 64 }{8} = 40 min\)

Answer:

You can use the definition of perfect square trinomials to find which of the given trinomials are perfect squares.

The trinomials which are perfect squares are:

Option B:

Option D:

What are perfect squares trinomials?

They are those expressions which are found by squaring binomial expressions.

How to find which of the given trinomials are perfect square trinomials?

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was am + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

Checking all options:

Option A:

Comparing it with the standard form we obtained, we have:

Option B:

Comparing it with the standard form we obtained, we have:

Thus, this trinomial is perfect squares trinomial.

Option C:

Comparing it with the standard form we obtained, we have:

Option D:

Comparing it with the standard form we obtained, we have:

Thus,   this trinomial is perfect squares trinomial.

Thus,

The trinomials which are perfect squares are:

Option B:

Option D:

Step-by-step explanation: