Given an ABCD inscribed quadrilateral, where the AB side is the diagonal of the circum- circle of the quadrilateral. BC = 3cm, CD = 5 cm and BCDZ = 120°. Give the length of the BD diagonal, AB and AD sides and the other angles.​

Answer:

$275.00

Step-by-step explanation:

I= P. × T

100×R (

P=Principal ($50,000.00)

T=Time. (6 years)

R=Rate. (1/8%)

l=lnterest. (?)

l= $50,000.00 × 6×1

100. × 8

l= $500.00 ×6

8

l= $62.50 ×6

l= $275.00

Therefore the interest $275.00

the interest earned on a $50,000 deposited for six years at 4 1/8% interest compounded continuously is $14040.97

Given :

Amount $50,000 deposited for six years at 4 1/8% interest, compounded continuously.

Compounded continuously formula is

\(A=Pe^{rt}\)

Where P is the initial amount deposited

'r' is the rate of interest

t is the time period

A is the amount after 't' years

Lets find out A using the given information

\(A=Pe^{rt}\\P=50000\\r=4\frac{1}{8} =\frac{33}{8} \\\)

Divide by 100 to remove %

\(r=0.04125\\t=6\)

Substitute all the values

\(A=50000e^{0.04125\cdot \:6}\\A=50000e^{0.2475}\\A=64040.96811.....\)

Now we find out the interest

I=A-P

\(Interest = 64040.96811-50000=14040.9681\)

Interest = $14040.97

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Answer:

in exploratory factor analysis all the measures variables are related to every legend variable but in confirmatory factor analyse CFA research 10 specifically the number of factors required in the data in which measures variable is related with talent variable

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

9514 1404 393

Answer:

  using the same procedures as for numerical fractions

Step-by-step explanation:

The thing that many Algebra students fail to recognize is that any algebraic expression is subject to the same rules of arithmetic as any numerical value. Addition and subtraction, multiplication and division of rational expressions works exactly the same way as it does with numerical fractions. The notions of "least common denominator" and "cancelling common factors" (to reduce the fraction) also apply.

Answer:

Compound interest is the interest imposed on a loan or deposit amount.

The most commonly used concept in our daily existence is compound interest.

The compound interest for an amount depends on both Principal and interest gained over periods.

Formula to calculate compound interest.

\({ \boxed{ \rm{C.I = P \bigg(1 + \dfrac{r}{n} \bigg) ^{nt} - P}}}\)

Here,

P is Principal

r is rate of interest

t is total time span.

n is number of times interest got compounded annually.

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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The slope of restaurant B is twice that of restaurant A

The tables of values are given as

           X(Bill)     Y(Tip)                          X(Bill)        Y(Tip)

Rest A     10           1                  Rest B      25            5    

Rest A     20          2                 Rest B      50            10

Rest A     30          3                 Rest B      75             15

The slopes are calculated using

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

Using the table of values, we have:

Rest A = (2 - 1)/(20 - 10)

Rest A = 0.1

Rest B = (10 - 5)/(50 - 25)

Rest B = 0.2

By comparing the slopes, we have:

Rest B = 2 * Rest A

This implies that the slope of restaurant B is twice that of restaurant A

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We need to solve the following equation:

This is a quadratic equation, for which we can use the Baskhara equation to determine the roots. This equation is shown below:

If we replace the values on the equation, we will be able to determine both roots:

The solution to this equation is the pair of complex numbers: 0.625+i1.05 and 0.625-i1.05

Answer:

4.90

Step-by-step explanation:

p/a=x

price/amount=x

14.70/3=4.90

Answer:

4.90

Step-by-step explanation:

14.70 times 1 which is 14.70

then divide 14.70 by 3

which gives you 4.90

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

Answer:

7\(\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{98}\) = 7\(\sqrt{2}\)

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

-4

Step-by-step explanation:

Since they all have the same base;

A) S(x) = 18x + -36005

B) 18

C) 2013

Answer:(a) getting the equation:

We'll assume that the altitude is represented by the x-axis and that the boiling point is represented by the y-axis.

Therefore, we have two given points:

(8400 , 200.4) and (4200 , 206.7)

Since the relation is linear, therefore, the graph forms of straight line with the general equation:

y = mx + c where m is the slope and c is the y-intercept.

First, we will calculate the slope:

m = (y2-y1) / (x2-x1) = (206.7 - 200.4) / (4200 - 8400) = -0.0015

Therefore, the equation of the line now is:

y = -0.0015x + c

Then, we will need to calculate the y-intercept. In order to do so, we will use any give point and substitute in the previously obtained equation as follows:

y = -0.0015x + c

206.7 = -0.0015(4200) + c

c = 213

Based on the above calculations, the equation of the line is:

y = -0.0015x + 213

(b) getting the boiling point at altitude = 2100 ft:

Now, in order to calculate the boiling point at altitude 2100, we will substitute in the equation of the line as follows:

y = -0.0015(2100) + 213 = 209.85 degrees Fahrenheit

Step-by-step explanation:

Answer:

-7.69%

Step-by-step explanation:

Using the circles:

A circle with a radius of 8 inches has an area and circumference given by:

A = πr² = π(8²) ≈ 201.06 square inches

C = 2πr = 2π(8) ≈ 50.27 inches

Rounding to the nearest hundredth:

A ≈ 201.06 square inches

C ≈ 50.27 inches

Therefore, the area is approximately 201.06 square inches and the circumference is approximately 50.27 inches.

A circle with a diameter of 20 meters has a radius of 10 meters. The area and circumference are given by:

A = πr² = π(10²) ≈ 314.16 square meters

C = 2πr = 2π(10) ≈ 62.83 meters

Rounding to the nearest hundredth:

A ≈ 314.16 square meters

C ≈ 62.83 meters

Therefore, the area is approximately 314.16 square meters and the circumference is approximately 62.83 meters.

Using these relationships, find the measures of some of the angles:

a) mJKP = mJKN (by vertical angles) and mJKP + mPKL = 90° (by complementary angles), so mJKN + mPKL = 90°.

b) mJKN = mJKP (by vertical angles) and mJKN + mKNM = 90° (by complementary angles), so mJKP + mKNM = 90°.

c) mJLK = mMPL (by alternate interior angles) and mMPL = 63°, so mJLK = 63°.

d) mKNM = 90° - mJKN (by complementary angles). We cannot determine the measure of mJKN.

e) mJLK = mMPL (by alternate interior angles) and mJLR = mJLP (by vertical angles), so:

mJLK + mKLP + mPLJ + mJLP = 360° (by the sum of angles in a quadrilateral)

63° + 90° + mPLJ + mJLP = 360°

mPLJ + mJLP = 207°

f) mJLR = mJLP (by vertical angles) and mKPL = 90°, so:

mJLR + mJLP + mKPL = 180° (by the angles in a triangle)

mJLR + mJLP + 90° = 180°

mJLR + mJLP = 90°

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Image transcribed:

Use the circle below for questions 1-7.

1. Name a radius.

2. Name a diameter.

1.

2.

3.

R

3. Name a chord that is not a diameter.

P

4. Name a central angle.

4.

S

5. Name a minor arc.

5.

6. Name a major arc.

7.

7. Name a semicircle.

For questions 8 and 9, find the area and circumference. Round to the nearest hundredth.

8.

A =

C=

9.

A =

20 m

8 in

C=

10. If m∠MPL = 63°, find each measure.

K

a) mR= =

= m KNM d) 이이

=

b) - =

c) L

=

f) mJLR =

N

M

Gina Wilson (All Things Algebra, LLC), 201

The Distance will be  5.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

Let point (7,5) be A and point (4,9) be B

Distance formula =

Ab  = √(x1- x2) ² + (y1 -y2) ²

Then Distance AB will be

Ab  = √(7-4) ² + (5 -9) ²

= √ 3² + 4²

= √ 9 + 16

= 5

Hence the distance  will be 5.

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The points \((7,5)\)  \((4,9)\) are separated by a distance of \(5\) units.

The distance between the two points is given by the length of the segment between them.

The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).

The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.

Use the distance formula to get the distance between two places.

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

In the posted query,

\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)

Distance formula,

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)

\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)

\(d = \sqrt{ 9+16 }\)

\(d = \sqrt{ 25 }\)

\(d = 5\)

Therefore, the points \((7,5)\)  \((4,9)\) are at a distance of \(5\) units.

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Answer:

9576

Step-by-step explanation:

Area of the triangle × height

(1/2×28×19)×36

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

Answer:

yes

Step-by-step explanation:

you would get results bc results are results

Answer:

(-4,4)

Step-by-step explanation:

Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.

Step-by-step explanation:

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

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If John has 3 of 4 slices of pie, and Tom has 2 of 6 slices of pie, how many do they have all together?

I believe that is what type of story you needed, if wrong let me know.

Answer: Suppose Rita is trying to find the area of the carpet of 3/4 and 2/6 for a room of 4/4 sq to 6/6 sq with balcony of 1/4 and 4/6

Explanation: In the given rectangle fig. length is given 3/4 and breadth is given 2/6 for the whole rectangle is 4/4 to 6/6.

for each block length is given 1/4 and breadth is given 1/6. The darker shaded area represents the carpet of the above story.

The answer after multiplying it is 6/24 or 1/4.  

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Answer:

Step-by-step explanation:

35 + 0.18 *x miles ≤ 71

x ≤ 200

0.18 *x miles ≤ 71 - 35

35≤ 71 - 0.18 *x miles

Answer:

Step-by-step explanation:

The ansewr is C

Answer: 523.3cm^3

Step By Step Explanation:-The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3

where r is the radius of the sphere. The diameter of the sphere is 10 cm, so the radius is half of that, or 5 cm.

Substituting the radius into the formula, we get:

V = (4/3) * π * (5 cm)^3

= (4/3) * π * 125 cm^3

= approximately 523.6 cm^3

So, the closest measurement to the volume of the sphere in cubic centimeters is approximately 523.3 cm^3.

Answer:

y/9

g - 5

(6 * w) - 4

7 + (3g)

64/f

Step-by-step explanation:

For these questions, make sure to follow the order shown.

1. quotient is the answer of a division question, so it would be y/9

2. Difference is the answer of a subtraction question, so it would be g - 5

3. Product is the answer of a multiplication question, so it would be (6 * w) - 4

4. Remember, follow the order. The variable 'd' represents your dog's weight, so it would be 7 + (3g)

5. Remember when you are trying to find individual costs from a group payment, you have to divide the total by how many people there are. So, the variable 'f' represents how many friends were in the group, so it would be 64/f

Hope this helps :)

Answer:

1) \(\frac{y}{9}\)

2) 2g - 5

3) 6w - 4

4) let d = dog's weight and m = my weight

      3d+7= m

5) let g = number of friends and c = cost per person

      \(\frac{64}{g}\) = c