Which of the following will help increase productivity?

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]

[tex]1+a=3[/tex]

[tex]a=3-1[/tex]

[tex]a=2[/tex]

Similarly,

[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]

[tex]2+b=2[/tex]

[tex]b=2-2[/tex]

[tex]b=0[/tex]

And,

[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]

[tex]1+c=-1[/tex]

[tex]c=-1-1[/tex]

[tex]c=-2[/tex]

Hence, the coordinates of vertex S are (2,0,-2).

Answer:

???????????????????????

Step 1: Find the perimeter of the rectangle

The rectangle has two lengths and one width that we need to add together. The width of the rectangle is equal to 2 times the radius (or the diameter) of the circle, which is 16.

25 + 25 + 16 = 66

Step 2: Find the perimeter of the semicircle

The perimeter of a semicircle is equal to half of the circumference.

C = pi x diameter

1/2 (3.14) x (16) = 25.12

Step 3: Find the perimeter of the figure

All that's left to do is add the two perimeters together.

66 + 25.12 = 91.12 m

Hope this helps!

Answer: A

-4(3e+4)=

-12e-16

Step-by-step explanation:

-7+3(-4e-3)=

-7-12e-9=

-12e-16

Answer:

Step-by-step explanation:

a

Answer:

(4, 2)

Step-by-step explanation:

½x + y = 4

y = 4 - ½x

½x - y = 0

½x - (4 - ½x) = 0

½x - 4 + ½x = 0

x = 4

y = 4 - ½(4)

y = 2

Answer:

the answer is 270° on this

Answer:

84.78

Step-by-step explanation:

Area of a circle is pi(radius)^2

In this case it would be (pi(radius)^2)270/360 since it's 3/4 of a circle.

So we replace the values and solve:

3.14(36)(270/360)= 84.78 square centimeters.

Answer:

2 1/6

Step-by-step explanation:

6.5x=2x+1.6=1/3

1/3*6.5=2 1/6

Answer:

x = 135

Step-by-step explanation:

Answer:

B = 55°

b = 17.1 (rounded to the nearest tenth)

c = 20.9 (rounded to the nearest tenth)

Answer:

4 miles per hour

Step-by-step explanation:

3 miles

Change the 45 minutes to hours

45 minutes * 1 hour/60 minutes = 3/4 hour

3 miles ÷ 3/4 hour

Copy dot flip

3 * 4/3

4 miles per hour

Answer:

[tex]\frac{3}{4} -\frac{5}{16} =\frac{3(4)}{4(4)} =\frac{5}{16} =\frac{12}{16} -\frac{5}{16} =\frac{7}{16}[/tex]

Answer:

7/16

Step-by-step explanation:

3/4 - 5/16

Get a common denominator of 16

3/4 *4/4  -5/16

12/16 - 5/16

7/16

Answer:

the statement number D okay!

The y-intercept of the function will be at (0, 2). Then the correct option is A.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function is given below.

y = 2·(3)ˣ

The value of y at x = 0, we have

y = 2·3⁰

y = 2·1

y = 2

The y-intercept of the function will be at (0, 2).

Then the correct option is A.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ5

Answer:

C

Step-by-step explanation:

Rationalize the denominator by multiplying [tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]. The denominator will become 5, while the numerator will be 3[tex]\sqrt{100}[/tex]. This is equal to 30/5, which is 6.

Hope this helps!

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

= 4

f(-5) = 2 times -5 + 1

= -9

f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation:

Answer:

Perimeter = (x+3) * 3 =    3x+9

Step-by-step explanation:

(x+3) would be multiplied by 3 in order to account for each of the three sides of the equilateral triangle-

The expression for the perimeter of the triangle is 3x+9.To find the expression for the perimeter of the triangle.

Perimeter is the distance around the edge of a shape. The continuous line forms the boundary of a closed geometrical figure.In an equilateral triangle, all 3 sides are the same length, so the equation would look something like this:

P=the perimeter of the triangle

(x+3)=length of each side

P=3(x+3)

To simplify further, distribute the 3 to both the x and the 3 inside of the parentheses, getting

P=3x+9.

So, the expression for the perimeter of the triangle is 3x+9.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ2

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The product of lengths to the two circle intercepts are the same for each secant.

  7(7+9) = (8x)(8x+6x)

  112 = 112x² . . . simplify

  1 = x² . . . . . . divide by 112

  x = 1 . . . . . . . take the square root (segment lengths are positive)

Answer:

Answer:

11 1/3 minutes per mile.

Step-by-step explanation:

3/4 miles jogged in 8 1/2 minutes.

So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3  = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile

Answer:

x = 11 1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

3/4 mile              1 mile

----------------- = --------------

8 1/2 minutes        x minutes

Using cross products

3/4 *x = 8 1/2

Multiply each side by 4/3

4/3 * 3/4x = 8 1/2 * 4/3

x = 17/2 * 4/3

x = 34/3

x = 11 1/3

Answer:

D(q) = -(3)/(4,000)q+19.5

Step-by-step explanation:

Given:

overall capacity = 60000

price in point one = 11

spectators in first point = 26000

second point - price = 8

spectators = 30000

solution:

The demand of a product as a function of its price and other factors such as the prices of the substitutes and complementary goods, income is the expression known as demand function. It is represented by D(q)

we have two points in our line for given ques:

first point of line = (26,000, 11)

second point of line = (30,000, 8)

Slope = (11 - 8)/(26,000 - 30,000)

= (3)/(-4,000)

y = mx + b

here, b = factors influencing demand besides price

m = slope

x = price

10 = (3)/(-4,000) )(26,000) + b

b = 19.5

y = -(3)/(4,000)+19.5

D(q) = -(3)/(4,000)q+19.5

Answer:

I'm pretty sure it's D, sorry if I'm wrong

Step-by-step explanation:

Answer:

I think D

Step-by-step explanation:

Because an experiment is defined as a scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact. This example is testing to see if the mouthwash is effective.

Answer:

The answer is "21.6".

Step-by-step explanation:

Let A stand for tent 1

Let B stand for tent 2

Let C be a shower

Using cosine formula:  

[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]

  [tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]

Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:

Tent 2 Distance to Dusk = 21.6m

Bert's tent is 21.6m away from the shower

Answer:

The proportion of red candies is 60/100.

Step-by-step explanation:

Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:

60 red candies out of 100 total candies

60/100

Therefore, the ratio of red candies is 60/100.

Answer:

∠ ADB = 19°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ CDA = 180° - ∠ DAB = 180° - 138° = 42°

Then

∠ ADB + ∠ CDB = 42° , that is

∠ ADB + 23° = 42° ( subtract 23° from both sides )

∠ ADB = 19°

Answer:

True

False

Step-by-step explanation:

BC are on the same line so, the new [tex]B^{1}[/tex][tex]C^{1}[/tex] will also be on the same. Just a different line than the original. The both move the same distance when dilated.

CD and the new [tex]C^{1}[/tex][tex]D^{1}[/tex] cannot be the same length. The dilation will increase their length by 1[tex]\frac{2}{3}[/tex]

Answer:

A

Step-by-step explanation:

The composite solid is made up of a cone and a rectangular prism.

Volume of the composite solid = volume of the cone + volume of the rectangular prism

✔️Volume of Cone = ⅓*π*r²*h

Where,

r = 4.8 yd

h = √(6² - 4.8²) = √12.96 = 3.6 yd

Substitute

Volume of cone = ⅓*π*4.8²*3.6

= 86.86 yd²

✔️Volume of rectangular prism = l*b*h

Where,

l = 7 yd

w = 5 yd

h = 4.5 yd

Substitute

Volume of prism = 7*5*4.5 = 157.5 yd²

✔️Volume of composite solid = 86.86 + 157.6 = 244.4 yd² (which is close to 244.36 yd²)

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

Answer:

D is the least common denominator

Answer:

The correct solution is "0.0226".

Step-by-step explanation:

The given question seems to be incomplete. Please find below the attachment of the complete query.

According to the question,

Mean

= 29

Standard deviation (s),

= 8

For sample size pf 92,

The standard error will be:

[tex]SE=\frac{s}{\sqrt{N} }[/tex]

     [tex]=\frac{8}{\sqrt{92} }[/tex]

     [tex]=0.834[/tex]

now,

⇒ [tex]1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )[/tex] = [tex]1-P(-2.28<z<2.28)[/tex]

or,

                                          = [tex]1-(2\times P(z<2.28)-1)[/tex]

                                          = [tex]2-2\times P(z<2.28)[/tex]

With the help of table, the normal distribution will be:

=  [tex]2-2\times 0.9887[/tex]

= [tex]0.0226[/tex]