Use the diagram to find the measures of all the angles, given that m∠2=159∘.

Answer:

42 kg.m/s.

Step-by-step explanation:

Just add them:

= 22 + 20 = 42 kg. m/s.

The combined momentum of Object A with +20 kg.m/s and Object B with +22 kg.m/s is +42 kg.m/s, as both are moving in the same direction and there is no need to account for direction beyond the sign.

To determine the combined momentum of two objects, we simply need to add their individual momentums together, provided that they are moving in the same direction or dimension. In this case, Object B has a momentum of +22 kg.m/s and Object A has a momentum of +20 kg.m/s. Since both momentums are positive, they are both in the same direction (presumably the +x-direction). The combined momentum is the sum of the two:

Combined momentum = Momentum of Object A + Momentum of Object B

Combined momentum = +20 kg.m/s + +22 kg.m/s = +42 kg.m/s

The combined momentum of the two objects is +42 kg.m/s.

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Answer:

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

Step-by-step explanation:

To find the other three points you take into account that if you sum 2π to one coordinate you have the same point.

Hence, by adding 2π to -4π/3, and again other two times:

[tex]-\frac{4}{3}\pi+2\pi=\frac{2}{3}\pi\\\\\frac{2}{3}\pi+2\pi=\frac{8}{3}\pi[/tex]

[tex]\frac{8}{3}\pi+2\pi=\frac{14}{3}\pi[/tex]

hence, the other two points are

P1 (6, 2/3 π)

P2 (6, 10/3 π)

P3 (6, 14/3 π)

Answer:

1) 6 days

2) Captain Salamander

Step-by-step explanation:

1) a = 243

r = ⅔

Sn = 650

650 = 243[(⅔)^n - 1]/(⅔ - 1)

(⅔)^n = 79/729

n ln(2/3) = ln(79/729)

n = 5.480683381

2) a = 180

d = -22

S5 = (5/2)[2(180) + 4(-22)]

S5 = 680 > 650

Captain Salamander is done within 5 days

Hence table for 6 days states

days               Frazer             Captain Salamander

1                      243                     180

2                     2/3*243=162       180-22=158

3                     2/3*162=108         158-22=136

4                     2/3*108= 72          136-22=114

5                     2/3*72=48             114-22=92

6                      2/3*48=32             92-22=70

Total                665                        614

what is word problem?

A word issue is the challenge of determining if two supplied expressions are comparable with respect to a set of rewriting identities in computer mathematics. The word problem for groups is a classic example, although there are numerous other examples.

How to solve?

Given two people frazer and Captain Salamander  who have to lay bricks but get tired after every round

for farzer speed is 2/3 of bricks every time

and Captain salamander has speed of 22 tiles less in every round hence equation becomes - 2/3 previous day

and for captain  Salamander  it is previous day-22

hence table becomes

days               Frazer             Captain Salamander

1                      243                     180

2                     2/3*243=162       180-22=158

3                     2/3*162=108         158-22=136

4                     2/3*108= 72          136-22=114

5                     2/3*72=48             114-22=92

6                      2/3*48=32             92-22=70

Total                665                        614

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Answer:

Footsteps

Step-by-step explanation:

Answer:

Footsteps.

Step-by-step explanation:

You walk more and more and eventually those footsteps from previous are left behind.

(My dad told me this as a moral lesson when I was young.)

P.S

Have a Amazing Day!

Faker/Tosrel

Answer:

#27: 56 ft squared #28: 32.85 ft squared

Step-by-step explanation:

Hope this helped! Please rate it if this helped!

Answer:

The first shape is called (I don't know)

The second shape is called Icosahedron

The thrid shape is called Octahedron

Step-by-step explanation:

The area of Brian's cake's top = base x height

                                                  = 13 x 9

                                                  = 117 square inches

Area of Nancy's cake's top = [tex]\frac{1}{2\\}[/tex] x base x height

                                             = [tex]\frac{1}{2}[/tex] x 15 x 12

                                             = 6 x 15

                                             = 90 square inches

Therefore, Brian's cake's top has a greater area than Nancy's.

Answer:

Brian's parallelogram-shaped cake top had the greater area. It was 27 in² greater than Nancy's cake top.

Step-by-step explanation:

To find the area of a parallelogram, use the formula A = b × h, where A is the area, b is the base and h is the height. Substitute the base and height into the equation.

A = 13 × 9

Then work out the equation to get:

117 = 13 × 9

This means that Brian's cake top has an area of 117 in².

Next, find the area of a triangle using the formula A = [tex]\frac{bh}{2}[/tex], where A is the area, b is the base, and h is the height. Substitute the base and height into the equation.

A = [tex]\frac{15*12}{2}[/tex]

The * symbol means the same as multiply.

Then work out the equation to get:

180 = [tex]\frac{15*12}{2}[/tex]

This means that Nancy's cake top has an area of 90 in².

We can see that Brian's cake top has a greater area than Nancy's already, but to find out how much greater, just subtract 90 from 117:

117 - 90 = 27

Hence, Brian's cake top has a greater area of 27 in².

Answer:

63

Step-by-step explanation:

4*15=60 60*3.14=188.4 188.4*1/3= 62.8 rounded that would be 63

Answer:

The system of equation to determine the quantity of nickels and quarters is simultaneous equation.

Nickels = 17

Quarters = 22

Step-by-step explanation:

Given

Let n represent number of nickels

Let q represent number of quarters

From line 1 of the question, we understand that

Total coins = 39

So, n + q = 39 because the made up of the nickels and the quarters

It's also stated that the total value of these 39 coins is $6.35.

First, it should be noted that

1 nickel is worth 0.05 and 1 quarter is worth 0.25, we can represent the total value of the coins with the following equation

0.05n + 0.25q = 6.35

At this point, we have two equation such can be solved simultaneously

n + q = 39 ------- (1)

0.05n + 0.25q = 6.35 ------- (2)

So, the system of equation to determine the quantity of nickels and quarters is simultaneous equation.

Solving further.....

Make q the subject of formula in equation (1)

q = 39 - n

Substitute 39 - n for q in equation 2

0.05n + 0.25q = 6.35 becomes

0.05n + 0.25(39 - n) = 6.35

0.05n + 9.75 - 0.25n = 6.35

Collect like terms

0.05n - 0.25n = 6.35 - 9.75

-0.2n = -3.4

Divide through by -0.2

-0.2n/-0.2 = -3.4/-0.2

n = 17

Recall that q = 39 - n

Substituton 17 for n in this equation

q = 39 - 17

q = 22

Hence, there are 17 nickels and 22 coins

Answer:

it's answer is 36 inch ²

Hope it will help as I have my answers with picture.

Answer:

Step-by-step explanation:

You multiply 2 times 11 and then you multiply 9 times 2 then you multiply the answers I think sorry I am not that useful

Answer:

110

Step-by-step explanation:

subtract 40 from 150

Answer:

Step-by-step explanation: So She already   40 out of 150  

flyers made. So subtract 150 minus 40 and you get 110. So the answer is 110 flyers she has left to make

Answer:

72X + 54

Step-by-step explanation:

Answer: The answer is, 18x4 + 36x3 − 9x2

The given function f(x) = -3(x-2)^2 + 14 is a quadratic equation shown in vertex form. To find an equivalent equation in standard form or solve for its roots, one can expand and simplify or use the quadratic formula with the appropriate coefficients.

The equation f(x) = -3(x-2)^2 + 14 is a quadratic equation in vertex form. In standard form, a quadratic equation is represented as at^2 + bt + c = 0. To express f(x) in this standard form, we simply need to expand the squared term and simplify. The given equation already shows that the parabola has been reflected vertically due to the negative sign before the coefficient of the squared term, and it is shifted 2 units to the right and 14 units up from the origin.

Transformations of the independent variable such as multiplying by a constant or adding a number, like in f(2x) or f(-2x), will affect the graph of the quadratic function. They result in horizontal scaling or reflection, while transformations like f{-2(x+1)} involve horizontal shifting.

To solve a quadratic equation that is set equal to zero, we can use the quadratic formula, which employs the coefficients a, b, and c. As an example, for a quadratic equation with constants a = 4.90, b = 14.3, and c = -20.0, the roots can be found through this formula.

Answer:B

Step-by-step explanation:

Answer:

3cm

Step-by-step explanation:

Diameter (2r)= 6cm.

Radius, r= 6/2 = 3 cm

Hey! I hope this helps!

2x + 4 = 3x+ (-1)

Option D)

We are given the following in the question:

Let x represent Kim's age

"Bob is 4 years older than twice Kim's age"

Thus, Bob's age =

4 + 2x years

"Paul is 1 year younger than 3 times Kim's age."

Thus. Paul's age is

(3x - 1) years

If Bob's age and Paul's age is equal, we can write:

2x + 4 = 3x + (-1)

Thus, the required expression is

Option D)

The equation can be used to determine Kim’s age will be 2x + 4 = 3x + (–1). Then the correct option is D.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Use the information to write an equation with variables on both sides. Let x represent Kim’s age.

Bob is 4 years older than twice Kim’s age. Then the age of the Bob will be in terms of x.

B = 2x + 4

Paul is 1 year younger than 3 times Kim's age. Then the age of the Paul will be in terms of x.

P = 3x – 1

Bob and Paul are the same age.

B = P

Put the value of B and P, then we have the equation will be

2x + 4 = 3x – 1

2x + 4 = 3x + (–1)

Then the correct option is D.

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The height of the parallelogram to the nearest tenth is; C: 4.8 units

Using Pythagoras theorem, we can find the smaller side of the parallelogram attached.

√(3² + 4²) = √25 = 5 units

The height of the parallelogram will be very close to this other side that measures 5 units.

Thus, the option that is closest to 5 units is 4.8 units and that is the height of the parallelogram.

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The approximate corresponding height of the parallelogram is 4.8 units.

Option C is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

The area of a parallelogram is equal to the product of its base and height. Therefore, we can find the height of parallelogram ABCD by dividing its area by the length of its base.

The area of parallelogram ABCD is equal to the area of triangle ABD, which has the same base as parallelogram ABCD and the same height as parallelogram ABCD.

Therefore, we can find the area of triangle ABD by dividing the area of parallelogram ABCD by 2.

Let h be the height of the parallelogram ABCD.

Area of triangle ABD

= (1/2) x base x height

= (1/2) x 8.6 units x h

Area of parallelogram ABCD

= base x height

= 8.6 units x h

Dividing the area of parallelogram ABCD by 2.

Area of triangle ABD

= (1/2) x 8.6 units x h

= 4.3 units x h

We know that the area of the parallelogram is greater than the area of the triangle because the parallelogram contains the triangle.

Therefore, the height of the parallelogram must be greater than the height of the triangle.

Let's say that the height of the parallelogram is approximately 4.8 units. Then, the area of the triangle is approximately:

Area of triangle ABD

= (1/2) x 8.6 units x 4.8 units

= 20.64 square units

Now,

Area of parallelogram ABCD.

= 8.6 units x 4.8 units

= 41.28 square units

This area corresponds to a height of approximately 4.8 units.

Therefore,

The approximate corresponding height of the parallelogram is 4.8 units.

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Answer:

16

Step-by-step explanation:

8+8=16

Answer: 40 miles

Step-by-step explanation:

Divide 600 by 15 and you get 14

Answer:

4 miles

Step-by-step explanation:

0.15 divided by 600 is 4000 miles.

(don't count the limo cost, just count the mile driven)

Answer:

7 over 10

Step-by-step explanation:

add up the marbles then subtract the purple marbles and put it over ten and you get 7/10

Answer: n = -10

Step-by-step explanation:

-3(n+9) = 3

-3n - (-27n) = 3

-30n = 3

n = -10

Answer:

n = -10

Step-by-step explanation:

Distribute -3 to n and 9. This makes -3n - 27 = 3. Add 27 to both sides, giving you -3n = 30. Divide -3 from both sides. This makes n = -10.

Answer:

395.841

Step-by-step explanation:

2 \pi r^2 = 2 \pi(7\text{ m})^2\approx

2πr

2

=2π(7 m)

2

≈

\,\,307.87608\text{ m}^2

307.87608 m

2

Top and bottom circles

\underline{+\ bh = (2 \pi \ 7\text{ m})(2\text{ m})}\approx

+ bh=(2π 7 m)(2 m)

​

≈

\,\,\underline{87.964594\text{ m}^2}

87.964594 m

2

​

The side is a rectangle with base = circumference

\text{Add them up:}\phantom{=}

Add them up:=

\,\,395.840674\text{ m}^2

395.840674 m

2

Final answer

\approx

≈

\,\,395.841\text{ m}^2

395.841 m

2

Round

The surface area of the cylinder is 396 m²

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.

Given that, A cylinder with height 2 m and radius 7 m, we are asked to find its surface area.

The surface area of a cylinder is given by = 2πr(h+r)

= 2×3.14×7(7+2)

= 396

Hence, the required surface area is, 396 m²

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Answer:

5xy*(3y+2)

Step-by-step explanation:

(1): "y2"   was replaced by   "y^2".

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 10xy +  (3•5xy2)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  15xy2 + 10xy  =   5xy • (3y + 2)

Final result :

 5xy • (3y + 2)

Answer:

−5xy(x+3y−2)

Step-by-step explanation:

Factor

−5xy out of −5x2y+10xy−15xy2.

See the attached picture.

Answer:

T= -5.74

Step-by-step explanation:

Answer:

A)8

Step-by-step explanation:

10 percentage is 4 (to get this you have to do 40/10)

so 20 percentage is 8 (4*2)

Answer: 8

Multiply 20%×40 and get 8

Simplify the expression.

Answer:

with what

Step-by-step explanation:

tell me i think i can help

Answer:

8 inches

Step-by-step explanation:

4 times 1 times 2 equals 8

Answer:

8

Step-by-step explanation:

4*2*1