If an angle x has a measure of 40° and angle why is a vertical to angle x what is the measure of angle y

Answer: The volume of this cylinder is 2389.18 cubic cm, and the surface area is 1000.6 square cm.

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

              m∠d = 90°

              m∠e = 129°

              m∠f = 51°

Step-by-step explanation:

              Before attempting to calculate the values of the missing angles, first we must know a few properties about certain angles. Vertical angles are angles formed by two lines that cross and are opposite to each other, like the angle of 129° and ∠e for example, and they are equivalent to each other. Therefore, we know that the measure of ∠e, or m∠e, equals 129°.

             Next, supplementary angles are two angles whose sums add up to exactly 180°, or a straight angle, and are typically adjacent angles formed on a straight line, like ∠e and ∠f. Since we know m∠e is 129°, and m∠e + m∠f = 180°, that means m∠f + 129 = 180 ⇒ m∠f = 51°.

             Lastly, we also see that ∠d forms supplementary angles with a right angle - whose angle measure is 90° - so we can conclude that m∠d + 90 = 180 ⇒ m∠d = 90°.

             Therefore, your answers will be: m∠d = 90°, m∠e = 129°, and m∠f = 51°.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

sqrt(68) is the length.

Step-by-step explanation:

For this you will use the distance formula, sqrt((x2-x1)^2+(y2-y1)^2)

So for this it is sqrt((5+3)^2+(-2+4)^2)

sqrt(64+4)

sqrt(68)

8.246

Step-by-step explanation:

Area of this kit = 1/2 (gf * hf)    

   258 yd^2  = 1/2 (43 * HF )

      HF =   258 *2 / 43 = 12 yds

Answer:

\(h(x)=12x-9\)

Step-by-step explanation:

We are given the two functions:

\(f(x)=4x-2\text{ and } g(x)=-8x+7\)

And we want to find:

\(h(x)=f(x)-g(x)\)

So, by substitution:

\(h(x)=(4x-2)-(-8x+7)\)

Simplify. Distribute:

\(h(x)=(4x-2)+(8x-7)\)

Rearrange:

\(h(x)=(4x+8x)+(-2-7)\)

Combine like terms. Hence:

\(h(x)=12x-9\)

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

Since Ben drinks tea at a constant rate, the volume of tea (in liters) that he can drink in one (1) hour is equal to 21/4 liters.

In order to determine the volume of tea (in liters) that Ben can drink in one (1) hour, we would first of all convert the unit of time in hour to minutes, and then determine a fraction (2/3) of this time as follows:

60 seconds = 1 minute

60 minutes = 1 hour.

Therefore, 2/3 of an hour is given by:

Time = 2/3 × 60

Time = 120/3

Time = 40 minutes.

Since Ben drinks tea at a constant rate, the volume of tea (in liters) that he can drink in one (1) hour or 60 minutes is given by:

Volume of tea (in liters) = 3 1/2 × 1/40 × 60

Volume of tea (in liters) = 7/2 × 60/40

Volume of tea (in liters) = 7/2 × 3/2

Volume of tea (in liters) = 21/4 liters.

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Complete Question:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. Ben drinks tea at a constant rate. How many liters of tea does he drink in one hour?

Answer:

Below

Step-by-step explanation:

First I found the area of the portion that extends off (if that makes sense??)

It is a triangle, so use A = bh/2

A = (2)(6) / 2

   = 6 cm^2

Next I found the area of the rectangle using A = LW

A = (6)(3)

   = 18 cm^2

Total area = 18 + 6

                 = 24 cm^2

Hope this helps! Best of luck <3

Answer: 24 x 1/2(24) = 288

Step-by-step explanation:

Half of 24 is 12.

Multiply 24 by 12 = 288

a^2 + b^2 =c^2

so to find your answer you do,

16.5^2 - 9.2^2= b^2

key- ^2 is squared (to the power of two) hope this helps x

Answer:

Divide 16.5 squared by 19.2 squared=368.64/272.25

Step-by-step explanation:

Answer:

$0.86

Step-by-step explanation:

Let's say the cost of the apples is A and the cost of the pears is P.

3A+6P=7.44

4A+10P=11.58

Now our best bet is elimination. We have to multiply the equations (Dont' forget about both sides, otherwise it does not work!) by the least common multiple.

We want to keep the variable A, meaning we'll have to target B. The least common multiple is 30, so now we'll multiply both equations like so:

15A+30P=37.20

12A+30P=34.74

Now we subtract the second equation from the first one. We get:

3A=2.46

And we divide both sides by 3, leaving us with

A=$0.86 or 86 cents.

The greatest acceleration when the unbalanced force is applied will be experienced by the least weighted box ( i.e., the mass of 2 kg)

Acceleration: it is defined as rate of change of velocity with respect to time.

Unbalanced Force:  it means that the force applied in one direction is greatest than the force applied in the opposite direction.

Given that, F = 8n.

let us assume that the boxes are of 2kg, 4 kg, 6 kg and 8 kg.

According to the 2nd law of motion: the external unbalanced force is directly proportional to rate of change of momentum or Force is equal to the product of mass and acceleration.

                         F = m × a

                 ⇒     a = F/ m

where,  F is Force, m is mass and a is acceleration.

Now, acceleration of the box of 2kg = 8÷2 = 4 m/s²

         acceleration of the box of 4kg = 8÷ 4 = 2 m/m²

         acceleration of the box of 6 kg = 8÷ 6 = 1.34 m/s²

         acceleration of the box of 8kg = 8÷ 8 = 1 m/s²

∴ the box with mass of 2kg experience the greatest acceleration.

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The set of vectors that form an

orthonormal basis

for R² is B. {[1,0]ᵀ,[0,1]ᵀ}.

To determine which of the sets of vectors form an orthonormal basis for R², we need to check if the vectors are orthogonal and have a length of 1. For set A, we can calculate the dot product of the two vectors and see that it is not equal to zero, so they are not orthogonal. For set C, the dot product of the two vectors is also not equal to zero, so they are not orthogonal. For set D, we can calculate the length of the vectors and see that they are not equal to 1, so they do not have a length of 1. Therefore, the only set of vectors that form an orthonormal basis for R² is set B, which consists of the standard basis

vectors

{[1,0]ᵀ,[0,1]ᵀ}.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

1/2

Step-by-step explanation:

Answer:

1/2 i think

Step-by-step explanation:

hope this helps :))

Answer:

9.1 – 10 = 0.2x

Step-by-step explanation:

Answer:

the answer is 10 over 23

Answer:

x=  10/23  = 0.435

Step-by-step explanation:

The linear equation modeling the given relationship is y = 150 + 200x, where y is the fees and x is the time in hours.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given that,

Registration fee for a new client = $150

There is also a fees of $200 per hour.

If x represents the hours, then the additional fees for x hours is 200x.

Total fees, y = 150 + 200x

If x = 0 hours, then y = $150

If x = 1 hour, y = 150 + (200 × 1) = $350

If x = 3 hours, y = 150 + (200 × 3) = $750

If x = 4 hours, y = 150 + (200 × 4) = $950

If x = 7 hours, y = 150 + (200 × 7) = $1550

Hence the linear equation modeling the situation is  y = 150 + 200x.

If x = 0, 1, 3, 4 and 7, the values of y are 150, 350, 750, 950 and 1550.

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intoTo do this, you just have to plug the value of x or y into the equation and solve to get its corresponding x or y value. So,

*If x = 2

*If y = 3

*If x = 6

*If x = 0

*If x = 3

*If y = 0

*If y = 8

Therefore, the table would be

Now, to find the slope of the line you can solve for y in the equation because that way you will have the equation of the line in its slope-intercept form, that is

So,

Then, in this case

Therefore, the slope of the line is -3.

Hello! The area of square KLMN is 25 cm²

Make sure to read an explanation for better understanding to the problem.

Any questions about my answer and explanation can be asked through comments.

Step-by-step explanation:

Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.

Therefore 5 × 5 = 5² = 25 cm².

We can also use Calculus to solve the problem by using Integration.

Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.

A line that passes through (a,4) where a is all real numbers. The equation is y = 4

A line that passes through (c,-1) where c is all real numbers. The equation is y = -1

Therefore,

\( \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}\)

Because y = -1 is below x-axis. Therefore,

\( \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}\)

An equation of the parabola whose vertex is (0, 0) and with directrix x = 2 is given by y² = -8x

Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:

y = a(x - h)² + k.

Where:

Since the directrix is horizontal, the axis of symmetry would be vertical. Additionally, the distance (a) from directrix to vertex on the axis of symmetry is equal to -2.

4a = 4(-2) = -8

Therefore, the equation of this parabola would be modeled by this standard mathematical expression;

(y - k)² = 4a(x - h)

(y - 0)² = 4(-2)(x - 0)

y² = -8x

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Answer:

9/4 or 2 1/4 cups of sugar.

Step-by-step explanation:

To find the answer we multiply 3/4 by 3.  Because the bottom stays the same, we wont multiply it.  Since 3 x 3 = 9, it will be 9/4.  Therefore, 9/4 or 2 1/4 is your answer.

The answer is D. Ben's statement is incorrect and Robert's cylinder will have a volume about 125 cubic units more than Ben's cylinder.

You use the formula V=πr²h, where r is the radius of the base and h is the height. If we plug in the values for Ben's cylinder, we get V=π(5²)(8)= 100π cubic units. If we do the same for Robert's cylinder, we get V=π(4²)(10)= 160π cubic units. Therefore, Robert's cylinder has a volume that is approximately 125 cubic units more than Ben's cylinder. This can also be calculated by subtracting the volume of Ben's cylinder from the volume of Robert's cylinder, which gives us (160π-100π) = 60π cubic units.

To determine this, we need to calculate the volumes of both cylinders. The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. For Ben's cylinder with a 10-inch diameter, the radius is 5 inches, and the height is 8 inches. The volume is V = π(5^2)(8) = 200π cubic inches. For Robert's cylinder with an 8-inch diameter, the radius is 4 inches, and the height is 10 inches. The volume is V = π(4^2)(10) = 160π cubic inches.

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Answer:

23

Step-by-step explanation:

\(3^{2}\)×2+15÷3

=9×2+5

=18+5

=23

Hoped I helped :)

-Vana