Find the length of the diagonal of the rectangle.
Round your answer to the nearest tenth. The height of the rectangle is 7 meters. The length is 9 meters

Answer:

Step-by-step explanation:

You have three segments totaling 82 cm, with the first being 4/9 of the second, and the third being 16 cm more than the second.

We can describe the relationship by the equations ...

  a + b + c = 82

  a = 4/9b

  c = b +16

The equations give each segment in terms of the second one, so we can substitute those relations into the sum:

  (4/9b) +b +(b +16) = 82

  22/9b = 66

  b = 66(9/22) = 27

  a = (4/9)(27) = 12

  c = 27 +16 = 43

The first segment is 12 cm; the second is 27 cm; and the third is 43 cm.

__

Additional comment

We used an ad hoc solution based on the observation that segments 'a' and 'c' were defined in terms of 'b'. We could write the equations as a system of 3 linear equations in 3 unknowns, and solve using matrix methods:

The solution is shown in the attachment: a=12, b=27, c=43.

The true inequalities are:

5/6 > 4/6

3/8< 5/8

2/3 > 1/3

The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.

The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.

5/6 > 4/6

0.833 > 0.667

so, this inequality is true.

3/8 < 5/8

0.375 < 0.625

so, this inequality is true.

4/5 < 2/5

0.8 < 0.4

so, this inequality is false.

4/7 > 6/7

0.571 > 0.857

so, this inequality is false.

2/3 > 1/3

0.667 > 0.333

so, this inequality is true.

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The Rs. 10,000 Regan lent to Sandip and Saline and the Rs.2160 more interest Saline paid than Sandip after 3 years at an 18% simple interest rate, indicates by expressing the amounts using equations, that the amount Regan gives to Sandip and Saline is Rs. 3,000 and Rs. 7,000 respectively.

An equation is the presentation of a statement of the equivalence between quantities, or expressions, by joining the expressions with a '=' sign.

The amount Regan has = Rs. 10,000

Let x represent the amount Regan lent to Sandip, we get;

The amount Regan lent to Saline = 10,000 - x

The interest rate of the loan Regan lent to Sandip and Saline = 18% simple interest

The interest Saline paid to Regan after 3 years, using simple interest = Rs. 2160 + The interest Saline paid to Regan

The simple interest formula is; I = P·R·T/100

Where;

P = The principal amount loaned

R = The interest rate = 18%

T = The time or duration of the loan = 3 years

Therefore;

(10000- x) × 18/100 × 3 = 2160 + x × 18/100 × 3

5400 - 0.54·x = 2160 + 0.54·x

5400 - 2160 = 0.54·x + 0.54·x = 1.08·x

3240 = 1.08·x

x = 3240 ÷ 1.08 = 3000

The amount Regan lent to Sandip, x = Rs. 3000

The amount Regan lent to Saline = 10,000 - x

x = 3000

10,000 - x = 10,000 - 3000 = 7,000 (substitution property)

The amount Regan lent to Saline = Rs. 7,000

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1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.

To find the amount of money that remains per person after buying raisins, we first need to find the total cost of the raisins. If 4 boxes of raisins cost $1.50 each, then 4*1.50 = $6 is spent on raisins.

To find the amount of money that remains for popcorn and drinks, we subtract the cost of the raisins from the total amount of money: 25-6 = $19.

Since there are 5 people in total (you and 4 friends), we divide the remaining money by 5 to find the amount per person: 19/5 = $3.80 per person.

2. The cost for a town’s soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet.

To find the cost per player, we divide the total cost of the banquet by the number of players: 960/60 = $16 per player

3. To solve the equation 2/3(x−4)=−10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal.

The reciprocal of the fraction 2/3 is 3/2

4. There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.

Let's call the cost of a silver ticket x.

The cost of a gold ticket is x + 8.

We know that Patrick spent 10x + 10(x+8) = $140

We can simplify that: 10x + 10x + 80 = 140

Then we have 20x + 80 = 140

Then we have 20x = 60

And x = 3

Then the price of a silver ticket is $3 and the price of a gold ticket is $3+8 = $11

5. Kendra is making bread, but the recipe she’s using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe.

If the original recipe calls for 2 cups of sugar and the changed recipe calls for 2 1/2 cups of flour and sugar combined, then the original recipe calls for 2 1/2 - 2 = 1/2 cup of flour.

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A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.

The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.

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Answer:

the answer is C

Step-by-step explanation:

[tex] \frac{7}{7} - \frac{4}{7} + \frac{2}{7} [/tex]

Step-by-step explanation:

Step 1 :-

> 7/7 - 4/7

> 7-4/7

> 3/7

Step 2 :-

> 3/7 + 2/7

> 3 + 2/7

> 5/7

Option C is correct

Answer:

It would be 49 cm

Step-by-step explanation:

Knowing the the perimeter of Tri RST is 28 cm and that it is a dilated by a 4:7 Scale Factor from Tri GHI:

(4/7)x = 28cm

(4/7)x (7/4) = 28cm (4/7)

x = 49cm

Hope that helps.

Answer:

Step-by-step explanation:

so in group 1 out of 12 rolls u landed on 4 four times

in group 2 out of 3 rolls u landed on it 1 time

in group 3 u landed on it 1 time

and in group 4 (i assume) u landed on it 1 time

add the denominators

so  7/35 which simplified is 1/5

Answer:

y = 2x

Step-by-step explanation:

y = mx + b

m = 2

y-intercept = b = 0

y = 2x + 0

y = 2x

Answer: 13.6 grams per egg.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y-intercept is positive 5 so that eliminates answer choices A and C

to decide between B and D, select a point in the solution area; for example, (0, 0). Plug these values into B and D and see which one it is true for

B)  0 ≥ -3(0)-5

Is 0 ≥ -5  Yes

D) 0 ≤ -3(0)-5

Is 0 ≤ -5  No

Answer:

y ≤ –3x + 5

Step-by-step explanation:

The number will be "6".

Let,

According to the question, the equation will be:

By solving the above expression, we get

→ [tex]6\times x=36[/tex]

By applying cross-multiplication, we get

→ [tex]x = \frac{36}{6}[/tex]

→    [tex]= 6[/tex]

Thus the above response i.e., "option b" is correct.

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The planes that contain point W from the given image are;

Plane V

Plane VWY

Plane RYV

A coordinate plane is a graphing and description system for points and lines. A vertical y-axis and a horizontal x-axis make up the coordinate plane.

From the attached image, we see that the planes whose name contains V also contains W.

The plane B contains the line XR and the Line YV as well as the W at the line YV.

Finally, the plane m also contains line YV and obviously the same as plane RYU.

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Answer:

Step-by-step explanation:

2/10=.2, 6.2

6.2×6=37.2

37.2+6.2= 43.4

43.4= 43[tex]\frac{4}{10}[/tex]

Answer:

9.4 x 11 = 103.4

15 + 7 = 22, 22 x 5 = 110, 110 divided by 2 = 55

55 x 2 (since there are two trapezoids) = 110

5 x 11 = 55

7 x 11 = 77

15 x 11 = 165

Now we add all the areas up:

103.4 + 110 + 55 + 77 + 165 = 510.4 square feet2 is your answer.

Step-by-step explanation:

the given ratio is

8 / 20/10 = 8 / 2 = 4

for x mathletes we need to keep the same ratio :

x / 30/5 = 4

x / 6 = 4

x = 4×6 = 24

24 mathletes.

Answer:

Step-by-step explanation:

y - 5 = -1/7(x - 4)

y - 5 = -1/7x + 4/7

y - 35/7 = -1/7x + 4/7

y = -1/7x + 39/7

The volume of Pill Bluetooth Speaker is 39.78 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.

The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.

Radius =2/2 1 inch

We know that, the volume of semi sphere is 2/3 πr³

= 2/3 ×3.14×1³

= 2.1 cubic inches

We know that, 1 foot =12 inches

The volume of cylinder is πr²h

= 3.14×1²×12

= 37.68 cubic inches

Total volume =37.68+2.1

= 39.78 cubic inches

Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.

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"Your question is incomplete, probably the complete question/missing part is:"

Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.

a) Volume of the Bluetooth Speaker ______

Answer:

k = 9

Step-by-step explanation:

According to the Factor theorem, if (x - a) is a factor of f(x) then f(a) = 0

given (x - 6) is a factor of f(x) then f(6) = 0 , that is

3(6)³ - 17(6)² - 6k + 18 = 0

3(216) - 17(36) - 6k + 18 = 0

648 - 612 - 6k + 18 = 0

36 - 6k + 18 = 0

54 - 6k = 0 ( subtract 54 from both sides )

- 6k = - 54 ( divide both sides by - 6 )

k = 9

Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.

Here,

Let AD and DC are 2x and x respectively.

We have, BC = 10 units

=> 2x =10

=> x = 10/2

=> x= 5

Now ,

=> AP + PF = 8 + y

=> 8 + y = 12

=> y =4

Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

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Answer:

x > 3

Step-by-step explanation:

Answer:

Assuming 64y - 24z = 0, y= 3z/8 and z = 8y/3

Step-by-step explanation:

plugged it into a calculator.

Answer:

h = 24

Step-by-step explanation:

h ÷ 7.5 = 3.2

Multiply both sides by 7.5

h = 3.2 × 7.5

h = 24

In order to use the Normal approximation for the sampling distribution of p

the sample should have at least 10 successes and at least 10 failures.

The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or the mode of a variable.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

For a sample of size n = 125,

The condition for the sample size to be large enough is that both np and       n(1-p) should be greater than or equal to 10. This means that the sample should have at least 10 successes and at least 10 failures. If this condition is met, we can use the Normal approximation for the sampling distribution of p.

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It is false that the cost of two pounds of apple cast is more than $ 3.50.

Here to find the cost of the given quantity we need to find the cost of 1 unit i.e 1 pound in the given problem so that we can find the cost of given quantities. It is called a unitary method.

Given that  

Andrew buy 8 pounds of apples for $ 12.00  

Let 'x' be the cost of 1 pound of apples

By the given data,

=> 8x = $ 12

=> x = 12/8

=> x = 1.5  

The cost of 1 pound of apples = $ 1.5

Cost of 2 pounds apples = 2 × 1.5 = 3

Therefore,

It is false that the cost of two pounds of apple cast is more than $ 3.50.

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x² + 6x + 9, this is a perfect square trinomial, which is expressed as

(x + 3)².

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Given that,

x² + 6x + 9

= (x)² + 2(3x) + 9

= (x)² + 2(x)(3) + 3²

This is similar to a² + 2ab + b² = (a + b)²

so, we can write:

= (x + 3)²

= (x +3) (x + 3)

so, this is a perfect square trinomial.

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Answer:

Formulas for Arc Length

The formula to measure the length of the arc is –

Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r

Arc Length Formula in Integral Form s= ∫ba1+(dydx)2−−−−−−−−s= ∫ba1+(dydx)2−−−−−−−−√dx

Answer:

28 yards

Step-by-step explanation:

It's perimeter so you add (6x2)+(8x2)

The x2 is because there's 2 of each side