Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each piece of fabric according to the equation x2 + y2 = 100 with units in inches. Based on this equation, what is the diameter of the cushion?

5 in.
10 in.
20 in.
100 in.

Answer:

\(32 + 8 \sqrt{10} \)

Step-by-step explanation:

Segment XM= 24

d=

\( \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } \)

\(d = \sqrt{(24 - 0) ^{2} + ( - 3 + ( - 3)) {2}^{?} } \)

\(d = \sqrt{24 ^{2} + 0 ^{2} } \)

\(d = 24\)

Segment XK=8

\(d = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } \)

\(d = \sqrt{(0 - 0) ^{2} + (5 - ( - 3))^{2} } \)

\(d = \sqrt{(0 )^{2} + 8^{2} } \)

\(d = \sqrt{64} \)

\(d = 8\)

Segment KM=

\(d = \sqrt{ {(0 - 24)}^{2} + {(5 - ( - 3))}^{2} } \)

\(d = \sqrt{ { - 24}^{2} + {8}^{2} } \)

\(d = \sqrt{576 + 64} \)

\(d = \sqrt{640} \)

\(d = 8 \sqrt{10} \)

Perimeter = the length of all 3 segments.

\(p = 8 + 24 + 8 \sqrt{10} \)

\(p = 32 + 8 \sqrt{10} \)

Answer:

1

Explanation:

1 is the mode due to the fact that it is repeated the most times out of all of the numbers in the expression that you gave (1 appears four times, whereas 2 only appears once, 3 only appears twice, 4 appears three times, and 5 also appears three times).

Step-by-step explanation:

Total money spent is Airline ticket + the sales tax

Airline ticket = 250

The sales tax = 250 * 7.5 / 100

=> 5 * 7.5 / 2

=> 37.5 / 2

=> 18.75

So, total = 250 + 18.75

=> 268.75

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The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

R u asking or u telling

Step-by-step explanation:

a. The equation of the line that is parallel to x - y = 4 is, y = x + 4.

b. The equation of the line that is perpendicular to x - y = 4 is, y = -x + 8.

Parallel lines have the same slope while perpendicular lines have slope that are negative reciprocals.

a. Rewrite the equation x - y = 4, in  slope-intercept form:

-y = -x + 4

y = x - 4

The slope (m) is 1.

This means, the slope of the line that passes through the point (2, 6) and is parallel to the given line would be m = 1.

To write the equation substitute m = 1 and (a, b) = (2, 6) into y - b = m(x - a):

y - 6 = 1(x - 2)

y - 6 = x - 2

y = x - 2 + 6

y = x + 4

b. The negative reciprocal of 1 is -1, therefore, he slope of the line that passes through the point (2, 6) and is perpendicular to the given line would be m = -1.

To write the equation substitute m = -1 and (a, b) = (2, 6) into y - b = m(x - a):

y - 6 = -1(x - 2)

y - 6 = -x + 2

y = -x + 2 + 6

y = -x + 8

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Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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PONDS Miguel wants to construct a pentagonal koi pond in his backyard. He desires a deck of uniform width to surround it. The interior sides of the deck are of the same length, and the exterior sides are of equal length. We must determine the width of the deck that surrounds the pentagonal pond.

We must know the dimensions of the pentagon's sides to calculate the width of the deck. However, we are unaware of the size of the sides in this instance. As a result, let's establish a reasonable hypothesis. Let's assume that the length of the interior side is "s" and that the length of the exterior side is "t." We understand that the length of the pond's side is the sum of the interior side and twice the width of the deck. As a result, the length of each side of the pond is:s+2wWe also know that the length of the exterior side is t. As a result, we may conclude that the length of the interior side of the deck is:t-2wSince the deck's interior side lengths are all equal, we can conclude that each one has a length of t-2w. We may compute the area of the pentagonal pond by computing the area of the pentagon, then subtracting the area of the five rectangles that make up the deck's interior sides.

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It is important to consult a healthcare provider to determine if doxycycline is appropriate for a particular individual, regardless of their age.

Doxycycline is a broad-spectrum antibiotic that is used to treat a variety of bacterial infections. However, there are certain medical conditions and factors that may contraindicate the use of doxycycline.

Some of the common medical conditions that may prevent the use of doxycycline include:

Allergy or hypersensitivity to doxycycline or other tetracycline antibiotics.

Severe liver disease or impairment.

Pregnancy or breastfeeding.

Children under the age of 8 (because doxycycline can cause permanent discoloration of teeth and affect bone growth).

Kidney disease, because doxycycline is excreted through the kidneys and may accumulate to toxic levels.

In general, the use of doxycycline is based on the patient's medical history, the severity of the infection, and other factors such as age and weight. Therefore, it is important to consult a healthcare provider to determine if doxycycline is appropriate for a particular individual, regardless of their age.

Complete question : It is important to consult a healthcare provider to determine if doxycycline is appropriate for a particular individual, regardless of their age. what dx gets doxy no matter what age?

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A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.

Amplitude:

The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values ​​of a variable. In the previous text, the phase of a periodic function is called the amplitude.

                       X = A sin (ω[ t - K]) + b

A is the amplitude (or peak amplitude),

x is the oscillating variable,

ω  is angular frequency,

t is time,

K and b are arbitrary constants representing time and displacement respectively.

According to the Question:

An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:

X= A/5* sin(1000.t + 120)

These oscillations have a certain amplitude. X values ​​can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.

For theses cases X= A/5 respectively -A/5.

Therefore,

The amplitude is A/5.

For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.

Complete question:

Can I find the amplitude of this equation? A/5 *