find the surface area : 5 height, 8 length, 3 width

We can express Benjamin's age with x, we can express Luca's age as y.

x-6=2y

So, if x=12

2y=6

y=3

Therfore, Lucas is 3 years old

Answer:

DE

Step-by-step explanation:

........................

Answer:

1

Step-by-step explanation:

1/3=3/6 2/3=4/6 6/6=1

Answer: b

Step-by-step explanation:

Answer:

X=49°

Y=63.

Igigoggogo

Answer:

1 and three-fifth or 1.6

Answer:

:) i have no idea have a good day hope u get it

Step-by-step explanation:

P(M ≤ $7) = Φ(-1/3√n) where Φ is the standard normal cumulative distribution function (cdf).

Suppose that the amount of margin that a pipe, valve and fitting distributor can make on a specific type of fitting is a random variable with mean $8 and standard deviation of $3.

The distributor sells those fitting to a large number of customers on a regular basis. The probability that the average margin for the distributor is normally distributed is: Normal Distribution

This is because of the following reasons: The pipe, valve and fitting distributor makes sales to a large number of customers on a regular basis.

The Central Limit Theorem (CLT) is the basis of the normal distribution assumption. It's possible to use it since it's a random variable. It is also possible to verify the assumption since the sample size is large. Furthermore, a normally distributed variable has well-known properties, making it easier to calculate probabilities.

Let X be the amount of margin that the pipe, valve and fitting distributor makes on a specific type of fitting.Suppose X ~ N(8, 3²). Let M be the average margin of the distributor.

Then: M ~ N(8, 3/√n)

Where n is the number of fittings sold.

The probability that the average margin is less than or equal to $7 is given by:

P(M ≤ $7)

= P(Z ≤ (7-8)/(3/√n))

= P(Z ≤ -1/3√n) where Z is the standard normal distribution

Therefore, P(M ≤ $7) = Φ(-1/3√n) where Φ is the standard normal cumulative distribution function (cdf).

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The age that represents the 48th percentile is 53.

To find the age that represents the 48th percentile given the data below, we first need to arrange the data in ascending order.43, 45, 48, 50, 52, 52, 52, 53, 58, 58, 61, 62, 67, 67Next, we need to determine how many values are in the data set. In this case, there are 14 values. We need to find the rank of the 48th percentile, which is equal to 0.48 * 14 = 6.72, which we can round up to 7 since we can't have a fraction of a rank.The age that represents the 48th percentile is the 7th value in the ordered data set, which is 53. Therefore, the age that represents the 48th percentile is 53.

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Answer:

the measurement of x is 30 degrees

Answers;

Larger angle = 62 degrees

Smaller angle = 28 degrees

Explanation:

Let the two complementary angles be x and y. Since the sum of complementary angles is 90degrees, hence;

x + y = 90 ....1

Let the larger angle be x and the smaller angle be y;

If the larger angle is 34° larger than the smaller angle,

x = 34 + y .....2

Substitute equation 2 into 1;

34+y+y = 90

34 + 2y = 90

2y = 90 - 34

2y = 56

Divide both sides by 2

2y/2 = 56/2

y = 28

Substitute y = 28 into equation 2;

x = 34 + 28

x = 62 degrees

Hence the measure of both anglea (x, y) is (62, 28)

Answer:

8.19 - 5.2 = 2.99

Step-by-step explanation:

Hope this is correct and it helps you! =D

Answer:

i'm not sure if i messed up or not, but n can't equal -6?

Step-by-step explanation:

-4(-3(-6)-8)=10(6)+ 20

-4(18-8)=60+20

-4(10)=80

40=80

Answer:

55°

Step-by-step explanation:

For the line including the 110°, the angle of the supplementary angle is 70° which is the 'non-equivalent' length of the isosceles triangle. Then do:

(180°-70°)/2 = 55° to get x

Answer:

Supplementary angles, x = 55

Step-by-step explanation:

Supplementary angles: straight line means both angles add up to 180, this if the outside angle is 110 then the inside angle is 180° - 110° = 70°

Since it is an isosceles triangle, it means both angles are equal to x therefore

\(180 - 70 = 2x\\110 = 2x\\\frac{110}{2} = x\\x = 55\)

Answer:

I suck at algebra. your on your own for this one buddy

Answer:

40 minutes

Step-by-step explanation:

I don't think the number of players affect the amount it takes to play the piece. The answer is probably still 40 minutes

Step-by-step explanation:

So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....

Area of rectangular parking lot = 7081 m²

length of parking lot = 97 m

Width = ?

Now,

Area = l × b

7081 = 97 × b

7081 / 97 = b

b = 73 m

Hence the width is 73 m....

Answer:

59.04°

58.31 inches

Step-by-step explanation:

The solution triangle is attached below :

Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;

Let the angle = θ

Tanθ = opposite / Adjacent

Tanθ = 50/30

θ = tan^-1(50/30)

θ = 59.036°

θ = 59.04°

The length of ladder can be obtained using Pythagoras :

Length of ladder is the hypotenus :

Hence,

Hypotenus = √(adjacent² + opposite²)

Hypotenus = √(50² + 30²)

Hypotenus = √(2500 + 900)

Hypotenus = 58.309

Length of ladder = 58.31 inches

Answer:

59°

58.3 inches

Step-by-step explanation:

Here is the full question :

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.

Please check the attached image for a diagram explaining this question

The angle the ladder makes with the ground is labelled x in the diagram

To find the value of x given the opposite and adjacent lengths, use tan

tan⁻¹ (opposite / adjacent)

tan⁻¹  (50 / 30)

tan⁻¹ 1.667

= 59°

the length of the ladder can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√(50² + 30²)

√(2500 + 900)

√3400

= 58.3 inches

Answer:

A

Step-by-step explanation:

x= -2

Answer:

x > -3

Step-by-step explanation:

Isolate the x on the left:

-5x < -3 + 18

-5x < 15

-x < 3

x < -3

Answer:

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law, "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."

\(F= ke\)

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \(\frac{15}{100}\)= \(0.15m\)

we can solve for the spring constant k

we also know that the force F = mg

assuming \(g=9.81m/s^{2}\)

therefore

\(24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\\)

We can use this value of k to solve for the mass that will cause an extension of  \(10cm= 0.1m\)

\(x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg\)

The correct option Input-Output Tables for Function Rules is

f(x)= 2x +3.

Input (x):       3   6  9   12

Output(f(x)):  9  15 21  27

Give:

Observe the table:

Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (x-value) by 2 then add 3 to find each output number (y-value) or f(x). You can use a rule like this to find other values for this function, too.

Now look at how to use a function rule to complete a table.

Input (x) Output (f(x))      Rule : f(x)=2x + 3

3               9                          2x3+3= 9

6                   15                          2x6+3=15

9               21                          2x9+3=21

12              27                          2x12+3=27

So here we can see by using f(x)=2x + 3, we can find the output.

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Answer:

its a good photo I would miss him so much if it was true

The proportion of Gala apples weighing less than 162 grams is approximately 0.0628 or 6.28% (rounded to four decimal places).

To solve this problem, we need to use the standard normal distribution formula and z-score. The z-score is a measure of how many standard deviations a value is away from the mean. In this case, we want to find the z-score for a Gala apple weighing 162 grams:

z = (162 - 208) / 30 = -1.5333

We can look up the probability of a z-score being less than -1.5333 in a standard normal distribution table, which gives us a value of 0.0628.

In other words, if we were to randomly select a large number of Gala apples from the population with the given mean and standard deviation, we would expect about 6.28% of them to weigh less than 162 grams.

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Complete question is:

The weights of Gala apples are normally distributed with a mean of 208 grams and a standard deviation of 30 grams. Determine the proportion of Gala apples weighing less than 162 grams. Round your answer to 4 decimal places.

The total distance Joshua walks every day is 4 miles (to school) + 4 miles (from school) + 5 miles (to the basketball court) = 13 miles, with the legs being the distance from school to the basketball court and the distance from school to Joshua's home.

Using the Pythagorean theorem, we can find the hypotenuse:

c² = a² + b²c²

= 4² + 5²c²

= 16 + 25c²

= 41c

≈ 6.4 miles

To the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court. The distance Joshua walks to school every day is 4 miles. The distance Joshua walks to the basketball courts on weekends is 5 miles. To find, The distance Joshua needs to walk to go directly from school to the basketball court. We can find the total distance Joshua walks every day using the given information: 4 miles to school + 4 miles from school + 5 miles to basketball courts = 13 miles.

To find the distance from school to the basketball court, we need to use the Pythagorean theorem. Joshua would need to walk the hypotenuse of a right triangle, with the legs being the distance from school to the basketball court and the distance from school to Joshua's home To the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court In this question, we need to calculate the distance between school and the basketball court. Firstly, Joshua walks 4 miles to school every day and 5 miles to the basketball court on weekends. Therefore, we can find the distance by the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court.

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Answer:

Step-by-step explanation:

Theorem

An inscribed quadrilateral is one where all four angles touch the circumference of the circle containing those 4 angles.

The opposite angles can be shown to be supplementary (that is equal to 180 degrees)

Answer: Supplementary

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = \(\frac{-180-480}{620-(-260)}\) = \(\frac{-660}{620+260}\) = \(\frac{-660}{880}\) = - \(\frac{66}{88}\) = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

Difference:

x values

260 + 620 = 880

y values

480 + 180 = 660

Gradient = change in y/ change in x

Or

gradient = rise/run

= 660/880

= 3/4

= 0.75

We've got a negative slope - gradient must be negative

y = mx + c

y = - 0.75x + c

To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.

You use - point A or D - it don't matter which

I'll pick D - (620,−180)

y= -0.75x + c

-180 = - 0.75 x 620 + c

-180 = - 465 + c

+465

285= c

Thus, the equation is:

y = - 0.75x + 285

or

y = - 3/4x + 285

Where point B is (0,285) and C is (380,0)

To find:

B substitute x = 0 into the equation

(y= - 3/4 x 0 + 285)

C substitute y = 0 in the equation

0 = - 3/4x + 285

-285

- 285 = - 0.75x

÷ - 0.75

380 = x

( I converted 3/4 to 0.75 to make things clearer)

Hope this helps!

The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.

Answer:

10

Step-by-step explanation:

24 ÷ 3 = 8 so one third is 8

24 ÷ 4 = 6 so one fourth is 6

8 + 6 = 14 (14 people brought drinks or dessert)

24 - 14 = 10

ten people brought chips.

Answer:

Step-by-step explanation:

The most appropriate choice for area of a square will be given by-

The lower bound of the side of the given square is 6.5 cm.

What is area of a square?

Area of a square is the total space taken by that square.

If the length of one side of a square is \(a\) \(cm\), then area of the square is given by \(a^2\) \(cm^2\).

Here,

Let the side of the square be a cm.

Area = \(a^{2}\) \(cm^{2}\)

By the problem,

\(a^{2}\) = 42.5

\(a\) = \(\sqrt{42.5}\)

\(a\) ≈ 6.519 cm

Lower bound = 6.5 cm

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The derivative of the vector function r(t) = tan(3t), sec(2t), 1/t^2 can be found by taking the derivative of each component of the vector separately, which is  3sec^2(3t), 2sec(2t)tan(2t), -2/t^3.

To find the derivative of the vector function r(t) = tan(3t), sec(2t), 1/t^2, we need to take the derivative of each component of the vector separately.

The derivative of tan(3t) with respect to t can be found using the chain rule. The derivative of tan(u) with respect to u is sec^2(u), and the derivative of 3t with respect to t is 3. So, the derivative of tan(3t) with respect to t is 3sec^2(3t).

The derivative of sec(2t) with respect to t can also be found using the chain rule. The derivative of sec(u) with respect to u is sec(u)tan(u), and the derivative of 2t with respect to t is 2. So, the derivative of sec(2t) with respect to t is 2sec(2t)tan(2t).

The derivative of 1/t^2 with respect to t can be found using the power rule. The derivative of t^n with respect to t is n*t^(n-1). Applying this rule, the derivative of 1/t^2 with respect to t is -2/t^3.

Combining the derivatives of each component, we get the derivative of the vector function r(t) as r'(t) = 3sec^2(3t), 2sec(2t)tan(2t), -2/t^3.

In summary, the derivative of the vector function r(t) = tan(3t), sec(2t), 1/t^2 is r'(t) = 3sec^2(3t), 2sec(2t)tan(2t), -2/t^3. This derivative represents the rates of change of each component with respect to t.

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