Plz help I need this

Answer:

\(m\angle 2=53^{\circ}\)

\(m\angle 7=74^{\circ}\)

Step-by-step explanation:

It is given that quadrilateral GHJK is a rectangle and \(n\angle 3=37^{\circ}\).

All interior angles of a rectangle are right angles. Diagonals are equal and bisect each other.

Now,

\(m\angle HKJ+m\angle HKG=90^{\circ}\)    (Interior angles of a rectangle are right angles)

\(m\angle 3+m\angle HKG=90^{\circ}\)

\(37^{\circ}+m\angle HKG=90^{\circ}\)

\(m\angle HKG=90^{\circ}-37^{\circ}\)

\(m\angle HKG=53^{\circ}\)

In an isosceles triangle, angle with equal sides are equal.

\(m\angle JGK=m\angle HKG\)

\(m\angle 2=53^{\circ}\)

Therefore, measure of angle 2 is 53 degrees.

Let the diagonals intersect each other at point O.

In triangle OGK,

\(m\angle OGK+m\angle OKG+m\angle GOK=180^{\circ}\)    (Angle su property)

\(53^{\circ}+53^{\circ}+m\angle GOK=180^{\circ}\)

\(106^{\circ}+m\angle GOK=180^{\circ}\)

\(m\angle GOK=180^{\circ}-106^{\circ}=74^{\circ}\)

Vertical opposite angles are equal. So,

\(m\angle 7=74^{\circ}\)

Therefore, measure of angle 7 is 74 degrees.

The cylindrical shell is subjected to an internal pressure of 70MPa. The shell's inner radius is 10 cm, and the outer radius is 16 cm. The maximum and minimum hoop stresses in the cylindrical shell are determined below.

For an element of thickness dr at a distance r from the center, the hoop stress is given by equation i:

σθ = pdθ...[i]Where, p is the internal pressure.

The thickness of the shell is drThe circumference of the shell is 2πr.

Therefore, the force acting on the element is given by:F = σθ(2πrdr)....[ii]

Let σmax be the maximum stress in the shell. The stress at radius r = a, which is at the maximum stress, is given by:σmax = pa/b....[iii]

Here a = radius of the shell, and b = thickness of the shell.

According to equation [i], the hoop stress at radius r = a is given by:σmax = pa/b....[iii].

Substitute the given values:σmax = 70 × 10^6 × (16 - 10)/(2 × 10) = 56 × 10^6 Pa.

The minimum hoop stress in the shell occurs at the inner surface of the shell. Let σmin be the minimum stress in the shell.σmin = pi/b....[iv].

According to equation [i], the hoop stress at radius r = b is given by:σmin = pi/b....[iv]Substitute the given values:

σmin = 70 × 10^6 × 10/(2 × 10) = 35 × 10^6 Pa.

Therefore, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa.

A thick cylindrical shell with an inner radius of 10 cm and an outer radius of 16 cm is subjected to an internal pressure of 70MPa. Maximum and minimum hoop stresses in the cylindrical shell can be determined using equations and the given data. σθ = pdθ is the formula for hoop stress in the cylindrical shell.

This formula calculates the hoop stress for an element of thickness dr at a distance r from the center.

For the cylindrical shell in question, the force acting on the element is F = σθ(2πrdr).

Let σmax be the maximum stress in the shell. According to equation [iii], the stress at the radius r = a, which is the maximum stress, is σmax = pa/b.σmax is calculated by substituting the given values.

The maximum hoop stress in the shell is 56 × 10^6 Pa according to this equation.

Similarly, σmin = pi/b is the formula for minimum hoop stress in the shell, which occurs at the inner surface of the shell.

The minimum hoop stress is obtained by substituting the given values into equation [iv].

The minimum hoop stress in the shell is 35 × 10^6 Pa.As a result, the maximum and minimum hoop stresses in the cylindrical shell are 56 × 10^6 Pa and 35 × 10^6 Pa, respectively.

Thus, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa. These results are obtained using equations and given data.

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The solution to the equation 8^x/2=2^3/8×4^3/4 is x = 15/14

To simplify an expression: to remove brackets, unnecessary terms and numbers

\(8^{x/2} = 2^{3/8} * 4^{3/4}\)

\(2^{3x/2} = 2^{3/8} * 2^{2 (3/4)}\)

using law of Indices

\(2^{3x/2} = 2^{3/8 + 6/4}\)

\(\frac{3x}{2} = \frac{3}{8} + \frac{3}{2}\)

\(\frac{3x}{2} = \frac{3+12}{8}\)

\(\frac{3x}{2} = \frac{15}{8}\)

cross multiply

24x =30

Divide both sides by 24

\(\frac{24x}{24} = \frac{30}{28}\)

x = 15/14

Therefore, the solution to the equation is x = 15/14

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The 90% confidence interval estimate for the population mean of hotel room prices in New York City is $256.01 to $289.99.

A confidence interval is a range of values that is likely to contain the true population mean with a certain degree of confidence.

To calculate the confidence interval for the population mean of hotel room prices in New York City, we need to use the formula:

CI = x ± (Zα/2)(σ/√n)

where x is the sample mean, σ is the sample standard deviation, n is the sample size, and Zα/2 is the critical value of the standard normal distribution for the chosen confidence level (in this case, 90%).

Plugging in the given values, we have:

CI = 273 ± (1.645)(65/√45)

Simplifying this expression, we get:

CI = 273 ± 16.99 =  [256.01 , 289.99].

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The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

we should get r from the circle area

circle area = pi r²

20 = 3.14 * r²

r² = 6.37

r = 2.5

Arc length = θ × r

4.5 = θ * 2.5

θ = 1.8 this answer in radian

to convert to degree

θ* 180/π

= 1.8 * 180/π

= 103.132 degrees

Anna has $540 to spend at the bicycle shop → this means that she can spend the $540 or less, you can symbolize this as ≤ $540

Her costs include:

• A bicycle for ,$402.87

• 3 bicycle reflectors for $10.97/each, the total will be 3*10.97=,$32.91

• A pair of bike gloves for ,$14.42

• With the remaining money, she wants to buy as many biking outfits as possible. Let "o" represent the number of outfits she can buy, considering each one costs $44.90, then the total cost for the outfits can be symbolized as ,$44.90o

The calculation for her total expenses is the sum of everything she buys:

"Bicycle"+"Reflectors"+"Gloves"+"Outfits"≤$540

Using the costs listed above the expression is

Simplify the like terms, i.e. add the alone numbers together

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

The conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

To find the conditional probability that the size of the family is less than 6 given that it is at least 3, we need to use the formula for conditional probability.

Let's denote A as the event that the size of the family is less than 6, and B as the event that the size of the family is at least 3.

The conditional probability of A given B, denoted as P(A|B), is calculated as follows:

P(A|B) = P(A and B) / P(B)

First, we need to find P(B), the probability that the size of the family is at least 3. Since the family is selected at random, we can assume that all possible family sizes have an equal chance of being selected.

Let's assume the total number of possible family sizes is n. The probability of selecting a family with at least 3 members is the sum of the probabilities of selecting a family with exactly 3 members, exactly 4 members, and exactly 5 members.

P(B) = P(3) + P(4) + P(5)

Next, we need to find P(A and B), the probability that the size of the family is both less than 6 and at least 3. Since any family size less than 6 is also at least 3, P(A and B) will be the same as P(B).

Finally, we can substitute the values into the formula for conditional probability:

P(A|B) = P(A and B) / P(B) = P(B) / P(B) = 1

Therefore, the conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

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Answer:

10

Step-by-step explanation:

How many coupons did we each earn just for arriving at Castel Saint'Angelo? This represents the initial value in this situation.

If you look at the graph, before we went to any monuments (when monuments=0), we already had 10 coupons. Thus, the initial value is 10 coupons.

Answer:
$33.64

If this help please set brainliest.

Step-by-step explanation:

The total cost of all the items before the discount is $42.05. The discount Joseph receives is 20% of this amount, so the discount he receives is $42.05 * 20% = $8.41.

The total cost after the discount is applied is $42.05 - $8.41 = $33.64. This is the total cost in dollars and cents, before tax, rounded to the nearest cent.

Answer:

8÷(x+3)

Step-by-step explanation:

it doesnt specify what number you add with 3 so you substitute it with a variable such as x.

The sum is adding so x +3 and then divide by 8

The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.

First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.

Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.

Using this method, we need to distribute 14 stars among 5 bars, which can be done in

(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.

Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

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Answer:

1) 7+(-3)=

7-3=4

Step-by-step explanation:

The answer is:

4

Work/explanation:

Adding a negative is the same as subtracting a positive;

\(\sf{a+(-b)=a-b}\)

Similarly,

\(\sf{7+(-3)=7-3=4}\)

The midsegment theorem indicates that the lengths of the segments are;

What is the midsegment theorem?

The midsegment theorem states that a segment drawn by joining the midpoints of two sides of a triangle is parallel to and half of the length of the third side of the triangle.

Whereby the segment BD is the midsegment of the triangle ACE, we get;

BD = (1/2) × AE

CD = (1/2) × CE (Definition of D the midpoint of CE)

BC = (1/2) × AC (Definition of B the midpoint of AC)

Therefore;

1. CD = (1/2) × CE ; If CD = 19 cm, then (1/2) × CE = CD = 19 cm

A. 19 cm

2. BD = (1/2) × AE; If BD = 21 cm

AE = 2 × BD = 2 × 21 cm = 42 cm

BD+ AE = 21 cm + 42 cm = 63 cm

B. 63 cm

3. BD = (1/2) × AE; If BD = 2·x - 1, AE = x + 4, we get;

2·x - 1 = (1/2) × (x + 4) = x/2 + 2

2·x - 1 = x/2 + 2

2·x - x/2 = 2 + 1 = 3

(3·x/2) = 3

x = 3 × 2/3 = 2

BD = 2 × 2 - 1 = 3

C. 3

4.  BD = (1/2) × AE; If AE = 32 cm, then (1/2) × BD is; (1/2) × (1/2) × 32 = 8

(1/2) BD = 8 cm

D. 8 cm

5. BC = (1/2) × CA; If CA = 56 cm, then BC = (1/2) × 56 cm = 28 cm

(1/2) × BC therefore is; (1/2) × 28 cm = 14 cm

A. 14 cm

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Answer:

x=14

Step-by-step explanation:

4(x-7)= 14(2)

4x - 28 = 28

4x = 56

x = 14

The equation of the tangent to the curve at the point corresponding to the given value of the parameter t = t0 is

y - t0sin(t0) = [(sin(t0) + t0cos(t0))/(cos(t0) - t0sin(t0))](x - t0cos(t0)).

We have,

To find the equation of the tangent to the curve at the point corresponding to the given value of the parameter t, we need to find the derivative of the curve and evaluate it at the given value of t.

Let's find the derivatives of x and y with respect to t:

dx/dt = cos(t) - tsin(t)

dy/dt = sin(t) + tcos(t)

To find the slope of the tangent line, we evaluate the derivatives at the given value of t.

Let's assume the given value of t is t0.

m = dy/dx = (dy/dt)/(dx/dt) = (sin(t0) + t0cos(t0))/(cos(t0) - t0sin(t0))

Now we have the slope of the tangent line at the point corresponding to t = t0. We can use this slope and the coordinates (x0, y0) of the point to write the equation of the tangent line in the point-slope form:

y - y0 = m(x - x0)

Substituting the values of x0, y0, and m, we get:

y - (t0sin(t0)) = [(sin(t0) + t0cos(t0))/(cos(t0) - t0sin(t0))](x - (t0cos(t0)))

This is the equation of the tangent line to the curve at the point corresponding to the given value of the parameter t = t0.

Thus,

The equation of the tangent to the curve at the point corresponding to the given value of the parameter t = t0 is

y - t0sin(t0) = [(sin(t0) + t0cos(t0))/(cos(t0) - t0sin(t0))](x - t0cos(t0)).

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Answer:

2x^2 + 9x - 4

18x^2 - 3x - 10

Step-by-step explanation:

use foil method

Answer:

x=5.657 or because rouded 5.7

Step-by-step explanation:

ill give explaniation if want

Answer:

(I don't understand 36 sorry, but I can help you with 35)

C. 5.7 feet

Step-by-step explanation:

35. This question is asking you to use the pythagorean theorem, this is the formula:

a² + b² = c²

--------

So we know the lengths of a and b,

a² = 16

b² = 16

We add those together:

16 + 16 = 32

-------

The next step is to calculate \(\sqrt{32}\)

\(\sqrt{32}\) ≈ 5.7

------

Have a good day :)

Answer:

8:9

Step-by-step explanation:

32 min: divided by 4= 8

36 min: divided by 4= 9

In simplest form the answer would be 8:9

What I just did there is called simplifying.

To simplify, you will need to divide both numbers by the same number for example 15:5, this simplified would be 3:5 due to how we multiplied both numbers by the same amount, 5. This works just like how 32:36 in simplest form would be 8:9.

Answer:

C

Step-by-step explanation:

It doubles after every number in the sequence

Shoe Town provides the finest ultimate price, so Raven should purchase the boots there.

possessing an identical or consistent ratio or connection between two quantities: If y/x = k, in which k is the proportionality constant, then the numbers y and x are proportionate.

To determine which one is the best store for Raven let's calculate the price in each case.

Shoe Town

Total price:

Initial price - Mark down  + Sales tax

85.95 - 15% + 7.16 %

85.95 - 12.89 + 7.16 %

73.06 + 7. 16%

73.06 + 5.23 = 78.29

Lace Up

Total price:

Initial price - Mark down - Coupon + Sales tax

85.95 - 10% - 5 + 7.15%

89.95 - 8.99 - 5 + 7.15%

80.96 - 5 + 7.15%

75.96 + 7.15%

75.96 + 5.43 = 81.39

Run, Don't Walk

Total price:

Initial price + shipping

71.99 + 6.50 = 78.45

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Answer:

x=74

Step-by-step explanation:

The angle H = x

We know angle M also is x because the sides are the same length

The sum of the angles of a triangle add to 180

x+x+32 = 180

Combine like terms

2x+32 =180

Subtract 32 from each side

2x = 180-32

2x =148

Divide by 2

2x/2 =148/2

x=74

The common ratio and 19th term to the nearest hundredth a19 ≈ 20,690. 49.

The nth term of a geometric sequence is given by a_n = a_1 * r^(n - 1), where r is the common ratio. We can use this formula to find the common ratio.

        a_19 = a_1 * r^(19 - 1) = 14 * 25.63^(19 - 1) ≈ 20,690.49

So, the 19th term of the sequence is approximately 20,690.49.

The subject being learned about is geometric sequences in mathematics. A geometric sequence is a sequence of numbers in which each term after the first is obtained by multiplying the previous term by a constant ratio (the common ratio).

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1.

answer: 1 - C

2.

answer: 2 - B

3.

answer: 3 - A

4.

answer: 4 - E

5.

Answer:

The glass expands

Step-by-step explanation:

Molecules move faster and spread out more in high temperatures. In the tightly packed glass, they don't have much space to expand, so the glass cracks

Answer:

\(y=2x-3\)

Step-by-step explanation:

This is just algebraic manipulation. In order to solve for y, you need to isolate it. Start this by moving the 2x from the left side of the equation. You can do this by subtracting 2x from both sides and you should end up with:

\(-y=-2x+3\)

After this, you still have a negative y, which means you just need to divide both sides of the equation by -1 to get rid of the negative. That should reverse the signs of all the variables in the equation, making it look like:

\(y=2x-3\)

The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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The equation of directrix is D. y=± 432/13.

Definition of hyperbola -

1. The vertex i at (0, 36) and a focus at (0, 39), then you have:

  a=36

a²=1296

2. The equation of directrix is:

y =  a² =c

c  =  39

y =  1296/39

y  =  432/13

Therefore, the answer is the option D, which is: D. y=± 432/13

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The complete question is -

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39)

Which are the equations of the directrices ?

A. x= ±12/13

B. y=±12/13

C. x=±432/13

D. y=± 432/13

Answer: Correct

Step-by-step explanation: