Joe i building a lide for hi kid. If the ladder i 8 feet tall and he want the bottom of the lide to be 6 feet from the ladder, how long doe the lide need to be?

Answer:

The correct answer is C: 5

Step-by-step explanation:

5/1 = 5

Answer:

The probability that it is raining if the flight has been delayed is 0.056.

The probability of rain and the flight being delayed is 0.01. The probability of the flight being delayed is 0.18. Therefore, the probability that it is raining given that the flight has been delayed is:

\(P(rain|delayed) = P(rain and delayed) / P(delayed)= 0.01 / 0.18= 0.056\)

This is rounded to the nearest thousandth as 0.056.

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:

(a)  x = 6.71 cm (3 s.f.)

     θ = 30.8° (3 s.f.)

(b)  radius = 3.00 cm (3 s.f.)

Step-by-step explanation:

The given triangle is made up of two right triangles.

In the right triangle on the right side, the side labelled "x" is opposite angle 40° and the side labelled 8 cm is adjacent to angle 40°. Therefore, to find the length of side x, use the tangent trigonometric ratio.

\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)

Therefore, the values are:

Substitute the values into the equation and solve for x:

\(\implies \tan 40^{\circ}=\dfrac{x}{8}\)

\(\implies 8 \cdot \tan 40^{\circ}=8 \cdot\dfrac{x}{8}\)

\(\implies 8 \tan 40^{\circ}=x\)

\(\implies x=8 \tan 40^{\circ}\)

\(\implies x=6.71279704...\)

\(\implies x=6.71\; \rm cm\;(3\;s.f.)\)

Therefore, the length of side x is 6.71 cm (3 s.f.).

In the right triangle on the left side, the side labelled "x" is adjacent angle θ and the side labelled 4 cm is opposite to angle θ. Therefore, to find the size of angle θ, use the tangent trigonometric ratio.

Therefore, the values are:

Substitute the values into the equation and solve for x:

\(\implies \tan \theta=\dfrac{4}{x}\)

\(\implies \tan \theta=\dfrac{4}{8 \tan 40^{\circ}}\)

\(\implies \tan \theta=\dfrac{1}{2 \tan 40^{\circ}}\)

\(\implies \theta=\tan^{-1}\left(\dfrac{1}{2 \tan 40^{\circ}}\right)\)

\(\implies \theta=30.7897330...^{\circ}}\)

\(\implies \theta=30.8^{\circ}}\; \rm (3\;s.f.)\)

Therefore, the size of angle θ is 30.8° (3 s.f.).

\(\hrulefill\)

The formula for the volume of a cylinder is:

\(\boxed{V=\pi r^2 h}\)

where:

Given values:

Substitute the given values into the formula and solve for r:

\(\implies \pi \cdot r^2 \cdot 5.3 = 150\)

\(\implies r^2=\dfrac{150}{5.3\pi}\)

\(\implies \sqrt{r^2}=\sqrt{\dfrac{150}{5.3\pi}}\)

\(\implies r=\sqrt{9.00877036...}\)

\(\implies r=3.00146137...\)

\(\implies r=3.00\; \rm cm\;(3\;s.f.)\)

Therefore, the radius of the cylinder is 3.00 cm (3 s.f.)

Answer:

a = 87

Step-by-step explanation:

36+57=93

180-93=87

Answer:

87°

Step-by-step explanation:

Since this is a triangle, triangles add up to 180°

Since we know the 2 angles, we are able to find a

180 - 36 - 57 = 87

a = 87°

Answer

\(y=\frac{3}{4} x+-5\)

Step-by-step explanation:

y= mx+b

mx is the slope (rise over run)

b is the y intercept

In the given scenario, the average current produced within the loop is approximately 2.13 A.

We can begin by computing the change in magnetic flux across the loop as it expands to determine the average current generated within the loop.

The following equation provides the magnetic flux across a loop:

Φ = B * A * cos(θ)

ΔΦ = B * ΔA

ΔA = A₂ - A₁ = π * (1.00 m)² - π * (0.40 m)² = π * (1.00² - 0.40²) = π * (1.00 + 0.40)(1.00 - 0.40) = π * (1.40)(0.60) = 0.84π m²

So,

ΔΦ = B * ΔA = (24 mT) * (0.84π m²) = 20.25π m²·T

emf = ΔΦ / Δt = (20.25π m²·T) / (1.0 s) = 20.25π V

As:

emf = I * R

So, again

I = emf / R = (20.25π V) / (30 Ω) ≈ 2.13 A

Thus, the average current produced within the loop is approximately 2.13 A.

For more details regarding average current, visit:

https://brainly.com/question/30049059

#SPJ12

Refer the attached image for the answer

HOPE SO IT HELPS YOU

Answer:

523.6 to 1 decimal place

Step-by-step explanation:

→ Utilise the formula for a volume of a sphere

\(\frac{4}{3}\)  × π × r³

→ Substitute in the radius

\(\frac{4}{3}\)  × π × 5³

→ Simplify

523.6 to 1 decimal place

The % error tells you about the accuracy of the measurements.

This is because it provides information about how close a measured or calculated value is to the true or accepted value.

The % error is expressed in percentage form.

It is computed as follows:

% Error = (|accepted value - experimental value|/accepted value) x 100

The % error can be used to determine the accuracy of measurements, and the higher the % error, the lower the accuracy.

A % error of 0% implies that the experimental value is the same as the accepted value, while a % error of 100% implies that the experimental value is two times greater than the accepted value.

Therefore, a small % error means that the measurements are accurate, while a large % error means that the measurements are inaccurate.

The % error may be used to identify the source of error in an experiment.

Know more about measurements here:

https://brainly.com/question/27233632

#SPJ11

Answer:

a = -2b + 3c

Step-by-step explanation:

Step 1: Subtract 2b from both sides.

Therefore, the answer is a = -2b + 3c.

No, Daren's statement is incorrect. if a second number is 125% of the first number, then the first number must be 80%

The question is a percentage problem, percentage deals with a fraction of hundred and used as follows

125%

= 125 percent

= 125/ 100

= 1.25

let the first number be x and the second number y

If the factor 1.25 of x is y

1.25x = y

the factor of y to x is  found as below

x = y/1.25

x = 0.8y

expressing the factor 0.8 in percentage we multiply by 100

0.8 * 100 = 80%

Hence Daren was wrong

Learn more about percent here:

https://brainly.com/question/29230566

#SPJ1

Answer:

180 ft2

Step-by-step explanation:

First solve for the area of the trapzeoid using formula:

A= a+b/2xh

10+18x6/2

A= 84 ft2

Then solve for the rectangles B and C:

12x4= 48

48x2 (because theres two rectangles) which equals 96

Combine the two to get the total area:

96+84= 180

Answer:

x=42

Step-by-step explanation:

40+3x+14=180

-40 on both sides

3x+14=140

-14 on both sides

3x=126

divide 3 on both sides

x=42

Answer:

3x+14+40=180[being supplementary]

3x=180-54

x=126/3

x=42 is a required answer.

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

The centroid of the region bounded by the curves y = sin x and y = cos x is (π/4, 0).

The given curves are y = sin x and y = cos x. The graph of these curves is shown below: Region bounded by the curves: y = sin xy = cos x

To find the centroid of the region bounded by the curves y = sin x and y = cos x, we need to first find the equation of the line of symmetry of this region. Since the curves are symmetrical with respect to the line x = π/4, this line of symmetry is given by x = π/4.

The centroid of the region bounded by the curves is the point of intersection of the lines x = π/4 and y = (1/2π) ∫sin x - cos x dx.

Since we have the bounds of the integral as

π/4 and 5π/4, the integral becomes: (1/2π) ∫sin x - cos x dx = (1/2π) [(-cos x - sin x)|π/4^5π/4](1/2π) [(-cos 5π/4 - sin 5π/4) - (-cos π/4 - sin π/4)] = (1/2π) [(-(-1)/√2 - (-1)/√2) - (1/√2 - 1/√2)] = (1/2π) (0) = 0.

To know more about line of symmetry, visit:

//brainly.com/question/30963765

#SPJ11

Answer:

(x−2)2+(y+1)2=100

Explanation:

the standard form of the equation of a circle is  

2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2  where  ( a , b )  are the coordinates of the center and r is  the radius  to find the center we require the  midpoint of the  2 given points  center  = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ]  center = ( 2 , − 1 )  the radius is the distance from the center to either of  the 2 given points  calculate the radius using the  distance formula ∙  d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2  let  ( x 1 , y 1) = ( 2 , -1 )  and  ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ←  equation of circle

Step-by-step explanation:

the total surface area is the sum of the individual areas on the surface.

we have

2 triangles (top and bottom)

1 front rectangle

2 rectangles in the back

the area of a triangle is

baseline × height / 2

1.7 × 0.5 / 2 = 0.425 in²

both triangles together : 2×0.425 = 0.85 in²

the area of a rectangle is

length × width

so, the front is

1.7 × 1.5 = 2.55 in²

one back rectangle is

1 × 1.5 = 1.5 in²

both back areas are 2×1.5 = 3 in²

so, the total surface area is

0.85 + 2.55 + 3 = 6.4 in²

The function rule for the line is,

f(x) = -2/3x -2.

The correct option is B.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

From the diagram,

the function has y-intercept at -2 and x-intercept at -3.

To find the slope:

First, we interpreted two points (-3, 0) and (0, -2).

Then the slope,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-2, 0)/(0 + 3)

m = -2/3

Now, the equation is,

f(x) = -2x/3 - 2

Therefore, the equation is,

f(x) = -2x/3 - 2

To learn more about the slope;

brainly.com/question/3605446

#SPJ1

Answer:

Step-by-step explanation:

The measure of the angle angleECF is 114 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Using the inscribed angle theorem, we have

BD = 2 * 57

Evaluate

BD = 114

From the marks on the circumference, we have

EF = BD

This gives

EF = 114

Using the theorem of central angle, we have

ECF = EF

This gives

ECF = 114 degrees

Hence, the angle angleECF is 114 degrees

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Answer:

Step-by-step explanation:

10*4*6

10*24

240

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ1

Answer:

5 dollar bc ik it i pass it

Answer:

because she wants to reduce from the amount of it amd wants to use it much so she would have blue is not that much!

I don't know exactly but that is my suggestion

Answer:

The answer would be 3/8.

Answer:

K= 15

Step-by-step explanation:

K/-3 +3 = -2

Simplify by subtracting 3 on each side:

K/-3 = -2-3

K/-3 = -5

Simplify further by multiplying each side by -3:

K= -5*-3

K = 15

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

Learn more about confidence interval here

brainly.com/question/24131141

#SPJ4

A common at-home workout that features high-intensity cardio, and strength-building exercises, and focuses on total body fitness might be a 21-day or 60-day "challenge". Thus, the correct option is C.

Body fitness may be defined as an ability of a person to perform daily physical activities with normal performance, endurance, and strength. This fitness assists the individual in the regulation of disease, fatigue, and stress and reduced inactive behavior.

People who performed high-intensity cardio, and strength-building exercises, in their home and focus on total body fitness must be actively involved in the 21-day or 60-day "challenge".

A 21-day or 60-day "challenge" would be self-selected by an individual in order to maintain their overall physical fitness.

Therefore, the correct option for this question is C.

To learn more about Body fitness, refer to the link:

https://brainly.com/question/3524635

#SPJ4

No, we cannot draw a triangle with sides 3 cm, 3.5 cm, and 6.5 cm.

Let's understand the concept behind this:

Apply the triangle's length-of-sides property, which stipulates that the total of any two sides should be more than the value of the third side. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side.

We must determine whether the supplied side lengths constitute a triangle. We now understand that the triangle's third side should be greater than the sum of any two of its sides. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side. So, we'll try every combination and see if it meets the criteria.

Let’s assume AB = 3 cm, BC = 3.5 cm and AC = 6.5 cm.

AB + AC = 3 + 6.5 cm = 9.5 cm > 3.5 cm = BC.

AC + BC = 6.5 + 3.5 = 10 cm > 3 cm = AB.

AB + BC = 3 + 3.5 cm  = 6.5 cm = AC.

However, in this case, the length of the third side is equal to the total lengths of the other two sides, which renders the triangle's condition incorrect.

Therefore, there does not exist any triangle with sides of 3 cm, 3.5 cm, and 6.5 cm.

To learn more about Triangle properties, visit: https://brainly.com/question/8476788

#SPJ4