The length of a golden rectangle is 35 cm. Find the width to the nearest centimeter.
17cm
25cm
22cm
29cm
16cm

Answers

Answer 1

Answer:

22 cm

Step-by-step explanation:

First we need to know that The golden number

= (1+√(5))÷2

= 1.61803398875 (in decimal)

………………………………………………

We get the length of a golden rectangle

by multiplying its width by the golden number itself.

Then

The width = 35÷ 1.61803398875

                 =21.631189606245


Related Questions

Given A(-2, 5) and B(13, -7), find the midpoint of AB.
Select one:
a. (-2, 11)
b. (5.5, -1)
c. (11, -2)
d. (-1, 5.5)​

Answers

[tex]\left(\frac{-2+13}{2}, \frac{5-7}{2} \right)=\boxed{\left(5.5, -1)}[/tex]

1) (b + a) = 4; use a = 1 and b = 3

2) c(b + b); use b = 1 and c = 5

3) 4+ pm; use m = 4 and p =3

4) 5+ pm; use m = 4 and p = 2

5) m(p + 2); use m = 5 and p = 2

6) h+j²; use h = 1 and j = 4

7) y-(x - 5); use x = 5 and y = 6

8) 4xy; use x = 5 and y = 2

9) n(p + 3); use n = 2 and p = 2

10) y +x+x; use x = 3 and y = 5

11) 6+ a-b; use a = 4 and b = 4

Answers

Step-by-step explanation:

1). (3+1)=4

2).5(1+11)

5(2)=10

3).4+3(4)

4+12=16.

4).5+2(4)

5+8=13

5).5(2+2)

5(4)=20

6).1+4^2

1+16=17

7).6-(5-5)

6-0=6

8).4×5×2=40

9).2(2+3)

2(5)=10

10).5+3+3=11

11)6+(4-4)

6+0=6.

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a. What are the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps?

Answers

The distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are 10 feet, 15 feet, 30 feet and 75 feet.

Missing information

When you walk with a normal stride, the average distance covered in 2 steps is about 5 feet

How to determine the distances?

From the question, we have:

Rate = 5 feet per 2 steps

This gives

Rate = 5/2 feet per step

So, we have:

Rate = 2.5 feet per step

The distance is then calculated as:

Distance = Rate * Steps

This gives

Distance = 2.5 * Steps

So, the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are

Distance = 2.5 * 4 = 10 feet

Distance = 2.5 * 6 = 15 feet

Distance = 2.5 * 12 = 30 feet

Distance = 2.5 * 30 = 75 feet

Hence, the distances in feet covered in 4 steps, 6 steps, 12 steps, and 30 steps are 10 feet, 15 feet, 30 feet and 75 feet.

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Help me with this question please and thank you!!! :):)

Answers

Answer:

A intersection B = ( elements which are common in both)

= ( 2,4,7,19)

A union B = ( all the elements which are either in A or in B).

= ( 2, 4, 7 , 13, 14, 19, 20 , 3, 5, 6, 10,11, 12 , 15,17 , 18 , 19 )

15. Desde la punta de un edificio el hombre araña lanza una tela a 500 metros, de la base del edificio
con un ángulo de depresión de 60°, ¿Qué altura (h) tiene el edificio?


ayudaaaa

Answers

Step-by-step explanation:

the correct answer will be 93

A function, h(x), is defined as shown.

h(x) = StartLayout Enlarged left-brace 1st row 1st column one-fourth x minus 4, 2nd column x less-than-or-equal-to 0 2nd row 1st column one-third x minus 3, 2nd column 0 less-than x less-than-or-equal-to 3, 3rd row 1st column one-half x minus 2, 2nd column x greater-than-or-equal-to 4

Which graph represents h(x)?

On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 0) and goes up to a closed circle at (0, 1). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, negative 2) and goes up to (6, negative 1).

On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, 0) and goes up to (6, 1).

On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 3) and goes up to a closed circle at (0, 4). The second line starts at (0, 3) and goes up to a closed circle at (3, 4). The third line has a closed circle at (4, 4) and goes up to (6, 5).

On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, 0) and goes up to a closed circle at (0, 1). The second line starts at (0, negative 1) and goes up to a closed circle at (3, 0). The third line has a closed circle at (4, negative 2) and goes up to (6, negative 1).

Answers

The graph that represents h(x) is option B: On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). ....

What is the graph about?

Using the piecewise function, one can see that;

In x ≤ 0, the slope of the graph of h(x) = 1/4

In 0 < x ≤ 3, the slope of the graph of h(x) = 1/3

In x ≥ 4, the slope of the graph of h(x) = 1/2

Note that the movement is left to right and the slope of h(x) often increases and the slope of the graph is said to become steeper.

Option B shows the graph of h(x) as it best tells the exact point of various aspect of the function.

Therefore, The graph that represents h(x) is option B: On a coordinate plane, a piecewise function has 3 lines. The first line starts at (negative 4, negative 5) and goes up to a closed circle at (0, negative 4). The second line starts at (0, negative 3) and goes up to a closed circle at (3, negative 2). The third line has a closed circle at (4, 0) and goes up to (6, 1).

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Line l and line m intersect.
Prove: ∡1 ≅ ∡3

Answers

Answer:

l & m intersect

2 & 3 are supplementary

1 & 3 are congruent

Step-by-step explanation:

The proof of expression"∡1 ≅ ∡3" is given below.

The complete flow chart is given in the attached image.

As per the provided diagram and the given information "Line l and line m intersect", the proof of the required statement can be done in the following steps.

Step 1:

Given: Line l and line m intersect.

Step 2:

∠1 is supplementary to ∠2

From the property of linear pair theorem.

Step 3:

∠2 is supplementary to ∠3

From the property of linear pair theorem.

Step 4:

As per the property of congruent supplements theorem,

∠1 ≅ ∠3

The complete chart is given below.

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find the volume of the rectangular prism WILL MARK BRAINLEST​

Answers

Step-by-step explanation:

volume= l×w×h

1.1/3×1/2×2/3

=1/9

2. 3/4×1/8×13/16

=39/512

3. 1/12×7/8×1/4

=7/384

4. 3/2×1/7×7/8

=3/16

5. 1/5×9/10×2/3

=3/25

6.6/7×7/8×1/2

=3/8

Detailed Answers:

Volume = w * h * l

1) V = 1/9 ft^3

Height (h) = 1/2 ft
Length (l) = 2/3 ft
Width (w) = 1/3 ft

Therefore,
= w * h * l
= 1/3 * 1/2 * 2/3
= 1/6 * 2/3
= 2/18
=> 1/9

Volume = 1/9 ft^3

2) V = 39/512 in^3

Height (h) = 13/16 in
Length (l) = 3/4 in
Width (w) = 1/8 in

Therefore,
= w * h * l
= 1/8 * 13/16 * 3/4
= 13/128 * 3/4
=> 39/512

Volume = 39/512 in^3

3) V = 7/384 cm^3

Height (h) = 1/12 cm
Length (l) = 7/8 cm
Width (w) = 1/4 cm

Therefore,
= w * h * l
= 1/4 * 1/12 * 7/8
= 1/48 * 7/8
=> 7/384

Volume = 7/384 cm^3

4) V = 1/12 cm^3

Height (h) = 2/3 cm
Length (l) = 7/8 cm
Width (w) = 1/7 cm

Therefore,
= w * h * l
= 1/7 * 2/3 * 7/8
= 2/21 * 7/8
= 14/168
= 1/12

Volume = 1/12 cm^3

5) V = 3/25 m^3

Height (h) = 1/5 m
Length (l) = 2/3 m
Width (w) = 9/10 m

Therefore,
= w * h * l
= 9/10 * 1/5 * 2/3
= 9/50 * 2/3
= 18/150
= 6/50
=> 3/25

Volume = 3/25 m^3

6) V = 3/8 yd^3

Height (h) = 1/2 yd
Length (l) = 6/7 yd
Width (w) = 7/8 yd

Therefore,
= w * h * l
= 7/8 * 1/2 * 6/7
= 7/16 * 6/7
= 42/112
=> 3/8

Volume = 3/8 yd^3

Find a solution to dA/dt=-6A if A(0)=6. A(t)=

Answers

This equation is separable,

[tex]\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt[/tex]

Integrate both sides and solve for [tex]A[/tex] :

[tex]\displaystyle \int \frac{dA}A = -6 \int dt[/tex]

[tex]\ln|A| = -6t + C[/tex]

[tex]e^{\ln|A|} + e^{-6t+C}[/tex]

[tex]\implies A(t) = Ce^{-6t}[/tex]

Solve for [tex]C[/tex] using the initial value.

[tex]A(0) = 6 \implies 6 = Ce^0 \implies C=6[/tex]

Then the particular solution is

[tex]\boxed{A(t) = 6e^{-6t}}[/tex]

What is the surface area of a square prism with sides that measure 8 units?
O254 units²
O 300 units²
0314 units²
0384 units²

Answers

Answer:

384 units²

Step-by-step explanation:

The area of one face is (8)(8)=64.

Multiplying this by the six faces, we get 64(6)=384

I need help ASAP please

Which statement is true about whether Z and B are independent events?

A: Z and B are independent events because P(Z | B) =P(Z).
B: Z and B are independent events because P(Z | B) = P(B).
C: Z and B are not independent events because P(Z | B) ≠ P(Z).
D: Z and B are not independent events because P(Z | B) ≠ P(B).

Answers

A

Explanation:

Independent event means P(Z|B)=P(Z)

P(Z|B)=(Z ∩ B)/B
=(126)/280
=.45

P(Z)=297/660
=.45

Therefore they are independent events, and the answer is A.
The answer should be Option A

Write 72 as a product of primes.
Use index notation when giving your answer.

Answers

Multiplication is the process of multiplying. The number 72 in terms of the product of primes is described as 2³ × 3².

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The number 72 in terms of the product of primes can be written as,

72 = 2×2×2×3×3×1 = 2³ × 3²

Hence, the number 72 in terms of the product of primes is described as 2³ × 3².

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if 300 equals 9 and 500 equals 16 what is the pattern? and what will 7 and 18 equal?​

Answers

Step-by-step explanation:

hope you can understand

Gabrielle is 10 years older than Mikhail. The sum of their ages is 84. What is Mikhail's age?

Answers

Answer:

Hence the age of Mikhail is 37 and the age of Grabrielle is 47

Answer:

Here;

Gabrielle age= 10yrs older that M..= 16 + 10= 26yrs old.

Sum of their age= 84

Now;

100 - 84

16,,

Choose the expression that represents a cubic expression
2x + 11

Answers

The correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

The correct question is as given below:-

Need help ASAP. Choose the expression that represents a cubic expression.

a. 2x + 11

b . −3x² − 2x + 11

c . 4x³ − 3x² − 2x + 11

d . 5x⁴ + 4x³ − 3x² − 2x + 11

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The polynomial having a degree of three is called the cubic polynomial which means that the maximum power of the polynomial will be three and the solutions will also be three.

Here in the option, we can see that the maximum power of the polynomial is three and it will have a maximum of three solutions.

The third-degree expression will be:-

E = 4x³ − 3x² − 2x + 11

Therefore the correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

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You invest $1000
in an account at 2.5% per year simple interest. How much
will you have in the account at the beginning of the 4th year? Round your
answer to the nearest whole dollar.
A. $1075
B. $1163
C. $3250
• D. $1088

Answers

i dont speak English 3456

A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken. What is the probability that the sample proportion is within ± 0.02 of the population proportion?

Answers

The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

How to determine the probability?

The given parameters are:

Sample size, n = 100Population proportion, p = 82%

Start by calculating the mean:

[tex]\mu = np[/tex]

[tex]\mu = 100 * 82\%[/tex]

[tex]\mu = 82[/tex]

Calculate the standard deviation:

[tex]\sigma = \sqrt{\mu(1 - p)[/tex]

[tex]\sigma = \sqrt{82 * (1 - 82\%)[/tex]

[tex]\sigma = 3.84[/tex]

Within ± 0.02 of the population proportion are:

[tex]x_{min} = 82 * (1 - 0.02) = 80.38[/tex]

[tex]x_{max} = 82 * (1 + 0.02) = 83.64[/tex]

Calculate the z-scores at these points using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z_1 = \frac{80.36 - 82}{3.84} = -0.43[/tex]

[tex]z_2 = \frac{83.64 - 82}{3.84} = 0.43[/tex]

The probability is then represented as:

P(x ± 0.02) = P(-0.43 < z < 0.43)

Using the z table of probabilities, we have:

P(x ± 0.02) = 0.3328

Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

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A certain aircraft can fly 1330 miles with the wind in 5 hours and travel
the same distance against the wind in 7 hours. What is the speed of the
wind?

Answers

Downwind DATA:
distance = 1330 ; time = 5 hrs ; rate = d/t = 1330/5 = 266 mph
---------------------------
Upwind DATA:
distance = 1330 ; time = 7 hrs ; rate = d/t = 1330/7 = 190 mph
---------------------------
Equations:
p + w = 266
P - w = 190
-------------
Subtract 2nd equ. from 1st to get:
2w = 76
w = 38 mph (speed of the wind)

Answer 38mph

Please hurry:)
Which of the following is equivalent to…

Answers

Answer:

D

Step-by-step explanation:

Consider the two regression lines 3x+2y=26 and 6x+y=31, the regression coefficient of y on x is

Answers

The regression lines 3x+2y=26 and 6x+y=31 are linear regressions

The mean values are 4 and 7 and the correlation coefficient between x and y is 0.25

The standard deviation of x is 2/13

The mean value and the correlation

We have the equations to be:

3x+2y=26 and 6x+y=31

Make y the subject in the second equation

y = 31 - 6x

Substitute y = 31 - 6x in the first equation

3x+2[31 - 6x] = 26

Expand

3x+ 62 - 12x = 26

Collect like terms

3x - 12x = 26 - 62

Evaluate

-9x = -36

Divide by - 9

x = 4

Substitute x = 4 in y = 31 - 6x

y = 31 - 6 * 4

y = 7

This means that the mean values are 4 and 7

To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.

So, we have:

y = 13 - 3x/2 and x = 31/6 - 1/6y

The above means that:

Bxy = -1/6 and Byx = -3/2

The correlation coefficient is then calculated as:

r^2 = Bxy * Byx

r = -1/6 * -3/2

r = 0.25

Hence, the correlation coefficient between x and y is 0.25

The standard deviation of x

We have:

Var(y) = 4

In (a), we have:

y = 13 - 3x/2

To solve further, we make use of:

Var(y) = Var(ax + b) = a^2Var(x)

This gives

Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)

So, we have:

Var(y) = 13^2 * Var(x)

Substitute 4 for Var(y)

4 = 13^2 * Var(x)

Divide both sides by 13^2

4/13^2 = Var(x)

Express 4 as 2^2

(2/13)^2 = Var(x)

So, we have:

Var(x) = (2/13)^2

Take the square root of both sides

SD(x) = 2/13

Hence, the standard deviation of x is 2/13

Find the midpoint of the segment with the following endpoints.
(-3,-3) and (1, 2)

Answers

[tex]\left(\frac{-3+1}{2}, \frac{-3+2}{2} \right)=\boxed{\left(-1, -\frac{1}{2} \right)}[/tex]

Is equal to (0,-5) and (4,6) in the line

(1)
Mrs Tan had $3756 to spend on furniture. She bought a sofa set for $1195 and 6 chairs at $128 each.

(a) How much did she spend altogether?

(b) How much money did she have left?

(Marshall Cavendish/ Pupil's book My Pals Are Here! Maths 4A 3rd Edition)

Answers

A) $1195 + 128(6 chairs)
= $1195 + 768
= $1963
B) 3756 - 1963 = 1793

The ages of Sonu and Monu are in the ratio 5:7.If Sonu were 9 years older and Monu 9 years younger, the age of Sonu would have been twice the age of Monu .Find their p present age 2 ) The ages of Sonu and Monu are in the ratio 5 : 7.If Sonu were 9 years older and Monu 9 years younger , the age of Sonu would have been twice the age of Monu .Find their present age.​

Answers

Answer:

Sonu is 15years and Monu is 21 years

Steve bought a new car for $22,000 but paid 93% of the list price. How much was the list price

Answers

Answer:

approximately $23,655.91 (rounded to the nearest hundredths place)

Step-by-step explanation:

[tex]22,000=0.93x\\x=23,655.91[/tex]

Answer:

Step-by-step explanation:

let the list price=x

93% of x=22,000

x=22,000 ×100/93

≈23,655.91 $

A greedy hamster hoarded two piles of sunflower seeds. Yesterday the ratio of seeds in these piles was 3:4, but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday?

Answers

The weight of the each pile yesterday would be 6 and 8 pounds.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

Yesterday the ratio of seeds in these piles was 3:4.

Let it be 3x and 4x.

If the 2 pounds of seeds is added in the bigger pile, then it become

4x + 2

He also ate 1/4 pound from the smaller pile, then

3x - 1/4

Now the quantities of seeds in those piles is in the ratio of 5:16.

So, 4x + 2 = 5x

3x - 1/4 = 16x

Solve;

So, 4x + 2 = 5x

2 = 5x - 4x

x = 2

The weight of the each pie would be

3x = 6 pound

4x = 8 pound

Hence, The weight of the each pile yesterday would be 6 and 8 pounds.

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In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t = 2 (StartFraction 2 h Over 32 EndFraction) Superscript one-half , where t is the time in seconds, and h is the height of the jump, in feet.

Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?

Answers

Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.

What is the hang time equation?

The hang-time of the ball for a player of jump h is given by:

[tex]t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}[/tex]

The expression can be simplified as:

[tex]t = 2\sqrt{\frac{h}{16}}[/tex]

For a player that has a hang time of 0.9s, the jump is found as follows:

[tex]0.9 = 2\sqrt{\frac{h}{16}}[/tex]

[tex]\sqrt{\frac{h}{16}} = \frac{0.9}{2}[/tex]

[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2[/tex]

[tex]h = 16\left(\frac{0.9}{2}\right)^2[/tex]

h = 3.24 feet.

For a player that has a hang time of 0.8s, the jump is found as follows:

[tex]0.8 = 2\sqrt{\frac{h}{16}}[/tex]

[tex]\sqrt{\frac{h}{16}} = \frac{0.8}{2}[/tex]

[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2[/tex]

[tex]h = 16\left(\frac{0.8}{2}\right)^2[/tex]

h = 2.56 feet.

The difference is given by:

3.24 - 2.56 = 0.68 feet.

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The equation of a circle is x² + y²-6y+1=0. What are the coordinates of
the center and the length of the radius of this circle?
(1) center (0,3) and radius 2√2
(2) center (0,-3) and radius 2√2
(3) center (0.6) and radius √35
(4) center (0,-6) and radius √35

Answers

Answer:

center (0, 3) and radius 2√2

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

(a, b) is the centerr is the radius

Given equation:

[tex]x^2+y^2-6y+1=0[/tex]

Subtract 1 from both sides:

[tex]\implies x^2+y^2-6y=-1[/tex]

To create a trinomial with variable y, add the square of half the coefficient of the y term to both sides:

[tex]\implies x^2+y^2-6y+\left(\dfrac{-6}{2}\right)^2=-1+\left(\dfrac{-6}{2}\right)^2[/tex]

[tex]\implies x^2+y^2-6y+9=8[/tex]

Factor the trinomial with variable y:

[tex]\implies x^2+(y^2-6y+9)=8[/tex]

[tex]\implies x^2+(y-3)^2=8[/tex]

Factor [tex]x^2[/tex] to match the general form for the equation of a circle:

[tex]\implies (x-0)^2+(y-3)^2=8[/tex]

Compare with the general form of the equation for a circle:

[tex]\implies a=0[/tex]

[tex]\implies b=3[/tex]

[tex]\implies r^2=8 \implies r=2\sqrt{2}{[/tex]

Therefore, the center is (0, 3) and the radius is 2√2

Max is going to order a breakfast platter at The Breakfast Club. He can choose one style of eggs, one type of meat, and one kind of toast. The following table shows the options available to him.
Breakfast platter
Egg options Fried, Scrambled, Poached, Hard boiled
Meat options Bacon, Sausage, Ham, Steak
Toast options White, Wheat, Rye
How many different breakfast platters could Max create?

Answers

the answer is 48

Step-by-step explanation:

since there are 4 egg options 4 meat options and 3 bread options. so u multiply this.

4×3×4=48

A. 10%
B.15%
C.28%
D.25%

Answers

Answer: 10%

Step-by-step explanation:

She had a total of $16,800. Subtracting the $5700 standard deduction and the $3650 exemption, we get:

[tex]16800-5700-3650=7450[/tex]

Which falls within the 10% tax bracket.

A bronze statue weighs 2400 N and has a base that is 4 m by ½ m. What is the pressure the statue exerts on the floor?

Answers

The pressure by the statue exerted on the floor will be 1200 N per square meter.

What is pressure?

The term pressure is defined as the force per unit area.

The formula is igven below.

P = F /A

A bronze statue weighs 2400 N and has a base that is 4 m by ½ m.

Then the base area will be

A = 4 x 1/2

A = 2 square meters

Then the pressure will be

P = 2400 / 2

P = 1200 N per square meter.

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Determine the missing information in the paragraph proof.Given: Line PQ is rotated 90 counterclockwise to form line PQ. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line PQ contains the points (b, a) and (d, c).Prove: The slopes of perpendicular lines are negative reciprocals.On a coordinate plane, 2 perpendicular lines are shown. Line P Q has points (a, b) and (c, d). Line P prime Q prime has points (negative b, a) and (negative d, c).The slopes of lines PQ and PQ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFractionThe product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1Mark this and return What net force is required to cause a 12,000 kg airplane to accelerate at a rate of 5.2 m/s Match the following.1. to favor or support2. to found or settle a territory3. to recognize or identify by examination4. to construct5. a safe place6. to overrun or inhabit7. cleverness; originality8. permanent residentinhabitantingenuityinfesterectadvocatediagnosehavencolonize )In the figure below, lines m and n are parallel: Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left. In the diagram shown, 6 measures 97 degrees. What is the measure of 5? 83 degrees 90 degrees 97 degrees 180 degrees Larry wants to hold an event that covers dual special needs plans (dsnp). he will use the slide presentation provided by unitedhealthcare to explain the plan benefits and will help consumers complete enrollment applications at the end. what type of event does larry need to conduct? QUESTION 10 Click here to read the passage before answering the question. Read this sentence from paragraph 5. You also have to be willing to prioritize activities by assigning them varying degrees of importance. Use this dictionary entry to answer the question. -ize (suffix): to cause; to become [Middle English] What is the meaning of the word prioritize as it is used in this sentence? a. act on the priority b. add to a priority c. make a priority d. remember the priority 1. Select all the true statements.A. -I is an imaginary number.-1B. There are no real numbers that satisfy the equation x = -1.C. Because -I is imaginary, no one does math with it.D. The equation x = -1 has real solutions.E. -T = -1 because -1 -1 = -1. 1. A racing car moving with constant acceleration covers two successive kilometres in 30 seconds and 50 seconds respectively. find the acceleration of the car.2. A ball is thrown vertically upwards with a velocity of 20 metre per second from the top of a multi-storey building the height of the point from where the ball is from 25 m from the ground. Some people took part in a game. The frequency shows information about their scores. Score Frequency 1 - 7 13 8 - 10 14 11 - 15 18 16 - 20 6 21 - 35 13 36 - 50 19 Estimate the mean. Give your answer rounded to 2 decimal places. Solve the equation.4.5=0.5n Driving through slow, congested traffic on a busy Saturday afternoon, you barely have time to notice all of the signs on the shopping malls. Your friend wants you to head to the next town but it is unclear where one town begins and ends. Use the scenario above to answer the following questions. As you continue driving, your friend notes that he grew up in this region and nothing has really changed. Then, most surprisingly, he mentions that:______.a. he has never ridden in a taxi or on been on a train. b. every day his parents commute about 40 minutes each way to work. c. he has never had a car and always got around using public transportation. d. his family typically drove about 20-30 minutes every time they went out to dinner. If area of a circle is 49/64 pie cm square,then find the circumference of the circle? Steele Plate Units Cost Mar. 3 Purchase 1 $830 10 Purchase 1 840 19 Purchase 1 880 Total 3 $2,550 Assume that one unit is sold on March 23 for $1,125. Determine the gross profit for March and ending inventory on March 31 using (a) FIFO, (b) LIFO, and (c) average cost methods. Gross Profit Ending Inventory a. First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 b. Last-in, first-out (LIFO) $fill in the blank 3 $fill in the blank 4 c. Average cost $fill in the blank 5 $fill in the blank 6 why was George washington first sent to visit the ohio valley? Need help urgently please Role of energy consumption in formulating energy policies. calculate the amount of glucose required to prepare 250g of 5% sugar solution Tatenda is making tea andtoast. He uses an 800Wtoaster for 2.5 minutes anda 2kW kettle for 5 minutes.What is the total cost forthe energy used ifelectricity costs 10p perunit? Which of the following objects is considered to be one-dimensional because it ha length but no width or height?A. Line segmentB. PointC. TriangleD.Cube Which term describes the red curve in the figure below?