Ben wants to draw rectangles that each have an area of 30 square inches. The length and width of each rectangle are whole numbers of inches. Part A Decide if each statement about the possible rectangles Ben could draw is true or false Choose True or False for each statement. The rectangle can have a length of 10 inches and a width of 3 inches. O True O False The rectangle can have a length of 7 inches. O True O False The rectangle can have a width of 2 inches. O True O False The rectangle can have a length of 12 inches, a width of 3 inches, and a perimeter equal to its area. O True O False The rectangle can have a width of 5 inches and a perimeter that is less than 30 inches. O True O False

The formula to find the volume of a cube is:

Then, we have:

• The volume of Lin's cube is 125 cubic inches.

• The volume of Lin's sister cube is 3375 cubic inches.

Now, we divide both volumes:

Therefore, the volume of Lin's sister cube is 27 times larger than the volume of Lin's cube.

The formula to find the surface area of a cube is:

Then, we have:

• The surface area of Lin's cube is 150 square inches.

• The surface area of Lin's sister cube is

Now, we divide both surfaces areas:

Therefore, the surface area of Lin's sister cube is 9 times larger than the surface area of Lin's cube.

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Hey there! I'm happy to help!

When you divide fractions, you are technically multiplying by the reciprocal, which is the numerator and denominator flipped. This means that 22/33 divided by 6/9 is equal to 22/33 multiplied by 9/6.

If we multiply these together, we get an answer of 1.

I hope that this helps! Have a wonderful day!

The calculated division of the numbers 22/33 divided by 6/9 is 1

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

22/33 divided by 6/9

When represented as an equation, we have

22/33 divided by 6/9 = 22/33 ÷ 6/9

Represent as a product expression

So, we have

22/33 divided by 6/9 = 22/33 * 9/6

So, we have the following result

22/33 divided by 6/9 = 1

Using the above as a guide, we have the following:

the result is 1

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9514 1404 393

Answer:

  16

Step-by-step explanation:

The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...

  y -k = m(x -h)

  y -7 = x +5

  y = x +12

Then for x = 4, the value of y is ...

  y = 4 +12 = 16

The point is (4, x) = (4, 16), so x = 16.

Answer:

16

Step-by-step explanation:

Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,

\(\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies 1 =\dfrac{ 7-x}{-5-4} \\\\\implies 1 \times -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}\)

Hence the required answer is 16 .

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Answer:

the second one thxxx for the points

Answer:

C.

19.5m2+11.7m

Step-by-step explanation:

hope this helps

Answer:

C.

19.5m2+11.7m

Step-by-step explanation:

what i got on the test

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

Total quantities of plant-produced pollutants:

\(=(10.88+15.82+0.92) \ L\\\\=27.62\ L\)

We are three medicinal plants here, Pinecrest, Macon, and Ogala. The average number of contaminants produced by plants would be

\(\to 27.62\div 3 \\\\\to \frac{27.62}{3} \\\\ \to 9.206 \ L\)

Answer: im pretty sure its 4 from 3/4

Step-by-step explanation:

Answer:

false, no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

Answer:

1)-12/13

2)-1/3

3)0

4)-4/5

5)undefined

6)-4

7)5

8)3

9)4

10)-5/6

11)16

12)1/3

The force acting on the adult and the student, both stuck to the wall, is determined by their weight and the centripetal force acting on them.  This means that the net force acting on both of them must be equal to zero.

The quadratic equation in LaTeX:

$ax^2 + bx + c = 0$

The weight of an object is proportional to its mass, and the centripetal force acting on an object is proportional to its mass and the square of its velocity.

Therefore, the ratio of the force acting on the adult to the force acting on the student will be equal to the square of the ratio of their masses and the square of the ratio of their velocities.

Let the mass of the student be 'm' and the mass of the adult be '2m'. Then, the ratio of the forces acting on them will be (2m) / m * (v_adult / v_student)^2, where 'v' represents velocity.

Since the ride remains stationary against the wall for both the student and the adult, this means that the net force acting on both of them must be equal to zero, i.e. their weight must be balanced by the centripetal force acting on them.

Thus, (2m) / m * (v_adult / v_student)^2 = 1.

This equation shows that the mass of the rider does not determine if the ride will remain stationary against the wall while rotating. The ride's velocity and the distribution of mass on the ride will determine whether it remains stationary or not, not the mass of the rider.

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Answer:

N is (8,5)

Step-by-step explanation:

Find the difference between M, and A, then add it to the M coordinates

The difference between M (x) and A (x) is 3, so you have to add 3 to M's x coordinate to get the N's x coordinate.

Do the same for the y coords and you will get (8,5)

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

dh/dt  =  -  0,125 in/min

Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below

\((\stackrel{x_1}{-8}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-8)}}} \implies \cfrac{-5 +3}{-4 +8} \implies \cfrac{ -2 }{ 4 } \implies - \cfrac{1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{- \cfrac{1 }{ 2 }}(x-\stackrel{x_1}{(-8)}) \implies y +3 = - \cfrac{1 }{ 2 } ( x +8) \\\\\\ y+3=- \cfrac{1 }{ 2 }x-4\implies {\Large \begin{array}{llll} y=- \cfrac{1 }{ 2 }x-7 \end{array}}\)

From the attached image, we can say that the true statements are :

Option A and are correct.

we take a look at each statement:

a. The minimum is 0.

From the dot plot, the lowest value shown is 0, so statement a is true.

b. The maximum is 12.5.

From the  data, the highest value shown is 12, not 12.5. Hence false statement

c. The midrange is 11.

The midrange would be (0 + 12) / 2 = 6.

Therefore, this statement  is false.

d. The range is 11.

The range would be 12 - 0 = 12.

Therefore, the statement  is true.

e. All of the cases measured had distinct values of this quantitative variable.

We have some repeated values in the data.

statement  is false.

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9514 1404 393

Answer:

  1.8%

Step-by-step explanation:

The effective rate can be found using the simple interest formula.

  I = Prt . . . interest of principal P at annual rate r for t years

  r = I/(Pt) . . . . solve for r

Using the given numbers, we have ...

  r = 243/(4500·3) = 0.018 = 1.8%

The annual interest rate was 1.8%.

Answer:

US Pints: 2.5, Imperial Pints: ~2.1 (If you live in the US, do 2.5, but if not, then do ~2.1.)

Step-by-step explanation:

To do this, we need to convert fluid ounces to US pints. To do this, you divide the amount of fluid ounces by 16. When we divide 40 by 16, we get 2.5. This means that the soup needs 2.5 pints of water. If you are talking about imperial pints, then we divide the amount of fluid ounces by 19.215. This gets us 2.08, which we can round to 2.1. If you live in the US, do 2.5, but if not, then do ~2.1. I hope this helps!

Answer:

This term denotes the modern techniques to administrating people in business organizations, government bodies, or non-profit organizations. The "contemporary" indicate the relation to the present and up-to-date trends in the sphere of management. It means that the person who is involved in contemporary management should be aware of the recent variations of the management theory and implement the changes in their organizations. Modern managers should be resilient and adaptive so that they are ready to incorporate the newest developments in practice.

Step-by-step explanation:

Other than that I don't know what you are asking for.

Answer:

51.2 mi

Step-by-step explanation:

Proportions:

5 in ⇔ 16 mi

16 in ⇔ C mi

C = 16*16/5

C = 51.2 mi

Answer:

Step-by-step explanation:

Additive inverse is when two numbers add up to zero.

A. Mia walked 5 mi north and then walked 5 mi west.

B. A scuba diver descends 40 m from sea level and then descends another 10 m.

C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.

D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

B.37.68

Step-by-step explanation:

lets say pi is 3.14

12 x 3.14

37.68