Can Someone Solve This By Using The Formula a^2+b^2=c^2

The other measurement of the golden rectangle is 9.87 inches. (Option C)

Golden rectangle refers to a rectangle whose sides are in the golden ratio. Golden ratio refers to the ratio between two quantities if their ratio is equal to the ratio of their sum to the larger of the two quantities. In other words, it exists when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a) which both approximately equal to 1.618.

Hence, if one measurement of the rectangle is 6.1 inches, the other measurement would be = 6.1*1.618 ≈ 9.87 inches

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Using Vector Decomposition in vertical and horizontal axis, The Horizontal component is 400-lb and Vertical component is 692.82-lb.

An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

The required formulas are:

Horizontal Component = [tex]A \cos \alpha[/tex]

Vertical Component = [tex]A \sin \alpha[/tex]

pull(A) = 800 -lb

[tex]\alpha = 60^{o}[/tex]

Horizontal Component = 800 * cos60

= 400-lb

Vertical Component = 800 * sin60

= 692.82-lb

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Answer:

1.20

Step-by-step explanation:

To determine how much Bruce's large pizza with three toppings would cost without the additional toppings, you would need to know the base price of a large pizza at Bella's Pizza Shop. Based on the information you provided, a large pizza at Bella's Pizza Shop costs $9.00. To determine the cost of the additional toppings, you would need to know the cost of each topping and the number of toppings ordered. Since this information is not provided, it is not possible to determine the cost of the additional toppings or the total cost of Bruce's order.

The large pizza costs $9.00 without any toppings.

The additional toppings cost $12.60 - $9.00 = $<<12.60-9.00=3.60>>3.60.

Therefore, each topping costs $3.60 / 3 = $<<3.60/3=1.20>>1.20. Answer: {1.20}.

Answer:

$1.20

Step-by-step explanation:

Assuming the question is "how much does each topping cost", you could solve it like this:

Total - large pizza price.
12.6 - 9 = 3.6.
Since Bruce got 3 toppings you'll want to do 3.6/3 which will give you 1.2.

If you add it all back up it should give you 12.60 again.
1.2(3)+9=12.6

Answer:

20

Step-by-step explanation:

The number of marbles of the color white, if A jar contains 350 marbles of two colors of all the marbles, 4 out of every 7 marbles are white, is 200.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1.

Given:

A jar contains 350 marbles, n = 350,

4 out of every 7 marbles are white,

Calculate the number of whites balls as shown below,

Number of one white ball in 7 marbles = 4 / 7

Number of white balls in 350 marbles =  4 / 7 × 350

Number of white balls in 350 marbles = 200

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In order to determine the critical values for an independent-samples T-test, the following information needs to be known:

The critical values for an independent-samples t test are used to determine if the differences between two samples are statistically significant. In order to calculate the critical values, the size of the sample (n), the significance level (alpha), the degrees of freedom (df), and the type of t-test (one-tailed or two-tailed) must be known. The degrees of freedom are equal to the number of observations in the sample minus

The size of the sample is the total number of observations in the two samples. The significance level is the probability of making a type-I error (rejecting the null hypothesis when it is true). Finally, the type of t-test is used to determine if the test is one-tailed (testing for a difference in one direction) or two-tailed (testing for a difference in both directions). Once all of this information is known, the critical values can be calculated to determine if the differences between the two samples are statistically significant.

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The three types of investors in a business are, active investors, pre-investors and passive investors.

       A person who is simply not involved in any kind of investments, are

       called as pre-investors. A pre-investor's financial world is primarily              

       based upon consumption by giving a little preference to savings or

       investments.

       It is a starting point of an individual's entering into the investment                

      world for an individual. When an individual graduates, and learn and

      gain knowledge about investments, he sub-divides his income into

      investments to expand his income further.

       Active investors are basically built upon the foundation of the

       passive investors. They take their investments into higher heights in

       order to handle their wealth as their business.

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Answer: 5/9

Step-by-step explanation: 15/27 divided by 3. 15 divided by 3 is 5 and 27 divided by 3 is 9.

By using probability, it can be calculated that -

Probability that more than 52 were made = 0.792

What is probability?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

A professional basketball player made 51.6% of field goals in one season

n = 110

p = 0.516

q = 1 - 0.516 = 0.484

Now,

Mean = 110 [tex]\times[/tex] 0.516 = 56.76

Standard Deviation = [tex]\sqrt{(110\times0.516\times0.484)}[/tex] = 5.24

P(X>52)

P(X>52.5)

z = [tex]\frac{52.5 - 56.76}{5.24}[/tex]

z = -0.8128

P(z<-0.8128) = 0.208

P(X>52) = 1 - 0.208

P(X>52) = 0.792

Probability that more than 52 were made = 0.792

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The equation describing the relationship between P and the width of the pen, w is P = 1/3L².

Area of a rectangular pen = Length × width

P = L × 1/3L

P = 1/3L²

L² = P ÷ 1/3

multiply by the reciprocal of 1/3

L² = P × 3/1

L² = 3P

Find the square root of both sides

L = √3P

To solve the equation for w

Width of the rectangular pen = 1/3L

w = 1/3(√3P)

In conclusion, the relationship between P and the width of the pen, w is P = 1/3L².

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Answer:

01763

Step-by-step explanation:

Because i use calculator

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

The 1st graph best represents Andy’s bike ride

(Consider the image I attached)

Andy's speed and time were initially at point 1 (starting point). That is he is not moving

If he rapidly pedaled his bike to reach a certain speed. That is, he moved from point 1 to point 2. This implies the speed increase with an increase in time.

Then continued at that speed.  That is, he moved from point 2 to point 3.   This implies the speed remains the same with an increase in time

He rapidly pedaled again. That is, he moved from point 3 to point 4. The speed increase with an increase in time again.

Then quickly pressed on his brakes to come to a stop. That is, he moved from point 4 to point 5.

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Answer:

There is no exact answer to this question as it depends on the complexity of the puzzle. Generally speaking, a puzzle with a diameter of 20 inches would contain between 1000 and 2000 pieces.

Step-by-step explanation:

The slope of the two points, (1,3) and (-3,5) is -1/2 and can be calculated by the point-slope formula.

We know that the slope is a change in y divided by a change in x or we can say  "rise over run". The point-slope formula is given by-

(y2-y1) = m (x2-x1) ........where m is the slope.

Hence, we can manipulate it into m= (y2-y1) /(x2-x1) to find the slope of the given points.

let (1,3) = (x1,y1)

and (-3,5) = (x2,y2)

substituting these coordinates in the equation of the slope we get,

slope= (5-3) /(-3-1)

         = 2/-4

         = -1/2

Hence, the slope of the given two points (1,3) and (-3,5) is -1/2.

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The complete question is -

What is the slope of (1, 3) and (-3, 5)?

The measurement of each diagonal is 5 cm in the given rectangle.

The diagonals of a rectangle are the two line segments that connect opposite corners of the rectangle and divide the rectangle into four right triangles.

Two diagonals of the rectangle are 3x+2cm and 2x +3cm which is given in the question.

The diagonals of a rectangle are equal in length, so we can set the two given lengths equal to each other:

3x + 2 cm = 2x + 3 cm

Subtracting 2x and 3 from both sides gives us:

x = 1 cm

Substituting this value back into the original equations gives us:

3(1) + 2 cm = 2(1) + 3 cm

3 + 2 cm = 2 + 3 cm

5 cm = 5 cm

Therefore, each diagonal has a length of 5 cm.

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The information provided indicates that 188 teachers and staff members own vehicles.

An arithmetic value used to compute and describe a quantity is, in fact, a number. In writing, numerical symbols like "3" are used to represent numbers. Using numerals or symbols to symbolize numbers, a numbering system seems to be a logical approach to convey numbers.

27% of students (s) 94 percent are teachers and workers (t).

The ratio between these two variables is 10:1, which suggests that there is only one employee for every 10 pupils, meaning that students outnumber teachers and other workers by a factor of 10.

Thus, 27% of 10 pupils is equal to 2.7 students, and 94% of 1 employee is equal to 0.94 employees and teachers. Therefore, if there are 2000 pupils, there must be 200 teachers. The number of students who own automobiles is 0.27(2000)=540, whereas 0.94(200)=188 is the number of teachers and staff who own cars.

You can see from this ratio and percentages that more pupils drive themselves to school than do teachers and other staff members. Roger's assertion is accurate for this reason.

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Answer:

The salesperson would need to sell a minimum of $286,666,.67 to meet his income goal.

Step-by-step explanation:

y = total income

x = car sales

y = .15x + 17000

60000 = .15x + 17000    Solve for x.  Subtract both sides by 17000

43000 = .15x  Divide both sides by .15

286,666.67  Rounded to the nearest penny.

The x-intercept is (2,0). And the correct option is C: (2,0).

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

We have the standard form of the slope-intercept form:

y = mx + b,

where m is the slope and b is the intercept.

In order to find the x-intercept,

substitute y=0 to the equation.

And solve for x.

Given equation is;

g(x); y = -4x+8

       y = -4x+8

The slope of the equation is -4.

To find the x-intercept,

Now, -4x + 8 = 0

              -4x = -8

                 x = 2

And the graph is given in the image.

Where (2,0) is the x-intercept.

The point (2,0), where a line crosses x-axis, is known as the x-intercept.

Therefore, the x-intercept is (2,0).

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Answer: (2, 0)

Step-by-step explanation: I took the test and got it right.

I promise it is right!  

Just make sure it is the same problem!!

Good luck!!!!! ;)

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

[tex]v = \frac{16-2c}{a^{2} }[/tex]

Step-by-step explanation:

Original equation

[tex]8 = \frac{1}{2}a^{2} v + c[/tex]

Multiply both sides by 2 to get rid of fraction

[tex]16 = a^{2}v + 2c[/tex]

Get constant on right, [tex]a^{2} v[/tex] on left

[tex]-a^{2}v = 2c - 16[/tex]

Divide both sides by [tex]a^{2}[/tex]

[tex]v = \frac{16 - 2c}{a^{2} }[/tex]

For the given partially decoupled system, dv/dt = -v , v(0) = -1 and dy/dt = v , y(0) = 100

The value of the constant that appears when solving for y(t) i.e, c₂ is 99..

We have given that

dv/dt = -v ; v(0) = -1

By separtion of variables ,

dv/v = - dt

=> ₋₁∫ᵛ dv/v = ₀∫ᵗ -1 dt

=> ₋₁[ ln(v) ]ᵛ = ₀[ -t]ᵗ

=> ln(v) - (-ln(-1)) = -t - 0

=> ln(v/-1) = - t

=> -v = e⁻ᵗ

=> v = - e⁻ᵗ

Now, dy/dt = v = - e⁻ᵗ

Integrating both sides y = 0 to 100 and t =0 to t

₀∫ʸ 1dy = ₀∫ᵗ - e⁻ᵗ dt

=> ₀[ y ]ʸ = - ₀[- e⁻ᵗ ]ᵗ

=> y - 100 = e⁻ᵗ - 1/e⁰ (since y(0)= 100) => y - 100 = e⁻ᵗ - 1

=> y = e⁻ᵗ - 1 + 100

=> y = e⁻ᵗ + 99

Which is general solution of dy/dt .

So, the constant that appears when solving for y(t), c₂ is 99.

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Complete question:

dy/dt =v, y(0) = 100 ; dv/dt = -v , v(0) = - 1 ..This is a partially decoupled system. Solve for v(t) first by separation of variables. Then substitute into the second equation and solve for y(t). If C1 is the constant that is in the general solution for v(t), and C2 is the constant that appears when solving for y(t), what is the value of C2?

the probability of the event that the sum of the numbers showing face up is at least 9 is 1/9.

What is probability?

The chance of an event can be calculated using the probability formula by simply dividing the favourable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anything between 0 and 1, as the favourable number of outcomes can never exceed the total number of outcomes.

Rolling two dice produces a total of 36 possible results.

One of the following will be necessary to reach the amount of 9: (3,6),(6,3),(4,5), or (5,4). 4 final results out of 36 overall.

Rolling two dice results in a 4/36 or 1/9 chance of having a sum of nine.

Hence the probability of the event that the sum of the numbers showing face up is at least 9 is 1/9.

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Answer:

16j

Step-by-step explanation:

Since 8j is equal to 8j, you can just add 8j+8j=16j

Answer:

z/4 or 4/z i think or z divided by 4

Step-by-step explanation:

The average speed of the lorry on the return journey is 58.5 km. If At 0845 hours, a lorry leaves Town A for Town B at an average speed of 52 km/h. It arrives at Town S at 1230 hours. On the return journey, the lorry leaves Town B at 1455 hours and arrives at Town A at 1815 hours.

The speed of an object can be determined by calculating the distance it covers in a given length of time. For instance, if a car goes 70 miles in an hour, it is doing so at a pace of 70 miles per hour (miles per hour).

Given,

At 0845 hours, a lorry leaves Town A for Town B at an average speed of 52 km/h. It arrives at Town S at 1230 hours.

On the return journey, the lorry leaves Town B at 1455 hours and arrives at Town A at 1815 hours.

distance = speed × time

Average speed from town A to town B is 52 km/h at 3 3/4 hrs.

Distance = 52 km/h × 3 3/4 hrs ...eq1

Let speed in return journey = r

Then distance = r × 3 1/3 hrs ...eq2

From eq1 & eq2

52 ×3 3/4 = r × 3 1/3

52 ×15/4 = r × 10/3

r = (52×15×3)/(4×10) km

r = (13×3×3)/2 km

r = 117/2 km

r = 58.5 km

The average speed of the lorry on the return journey is 58.5 km.

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Answer:

What do you need here Any help?

We are expected to land on each color 20 times in 180 spins

Probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%

probability of landing any color on any given attempt is 1/9 or 0.11, since all colors are different,  the probability for each is the same.

if you multiply the probability by 180 you will find the amount of time you will expect to land on each color

Hence, 1/9 x 180 = 20times

Hence are expected to land on each color 20 times in 180 spins

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The graphed linear equation will be [tex]y= 6+ (\frac{-3}{2}x )[/tex].

What is Graphed linear equation?

A linear equation with two variables has a line as its graph, which is why it is referred to as linear. Plotting the points (x1,y1) and (x2,y2) and the line that connects them.

Solution:

        [tex]Slope \ of\ line= \frac{(y_{2-} y_{1} )}{(x_{2-} x_{1} )} \\\\Slope \ of\ line = \frac{-6} {4} \\\\Slope \ of\ line = \frac{-3}{2}[/tex]

One point on the line is (0,6)

The equation of the line is,

         [tex]y-6= (\frac{-3}{2} )(x-0)\\\\y-6= (\frac{-3}{2} )(x)\\\\y= 6+ (\frac{-3}{2}x )[/tex]

The graphed linear equation will be [tex]y= 6+ (\frac{-3}{2}x )[/tex].

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