Work out the value of angle x.
Х
110 degree

Answer:

-39 cm²/h

Step-by-step explanation:

The area of the rectangle is A = hw where h = height and w = width.

So the rate of change of area with respect to time is

dA/dt = d(hw)/dt

dA/dt = hdw/dt + wdh/dt

Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)

So, dA/dt = hdw/dt + wdh/dt

dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)

dA/dt = 33 cm²/h - 72 cm²/h

dA/dt = -39 cm²/h

Answer:

-1, 4, 6, 8

k<9

Step-by-step explanation:

Two ways to do this

One is to substitute the values in for k and then see if the inequality is still true.

-1, 4, 6, 8, when substituted in for k and then multiplied by 5, will be less then 45.

9, however, does not work because 9 times 5 is 45, which makes the inequality untrue. So, k has to be less than 9.

The faster, more mathematical way is to divide both sides by 5. 5 divided by 5 is 1 and 45 divided by 5 is 9, so the new inequality would be k<9.

Answer:

The difference between the greatest and smallest rational number   [tex]=\frac{3}{20}[/tex]              

Step-by-step explanation:

Step(i):-

Given that the rational numbers

[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]

we have to find that the difference between the greatest and the smallest rational numbers

solution:-

The greatest rational number  =  [tex]\frac{11}{20}[/tex]

Convert into decimal = 0.55

The smallest rational number = [tex]\frac{2}{5}[/tex]

Convert into decimal = 0.4

The difference between the greatest and smallest rational number

                     [tex]= \frac{11}{20} - \frac{2}{5}[/tex]

                     = [tex]\frac{11-8}{20}[/tex]

                    [tex]=\frac{3}{20}[/tex]

Final answer:-

The difference between the greatest and smallest rational number     [tex]=\frac{3}{20}[/tex]

Answer:

alternate interior angles

Step-by-step explanation:

<1 is congruent to <2 by alternate interior angles

Answer:

567094, 567904, 576094, 576904

Step-by-step explanation:

You just have to arrange the numbers from the least value

Answer:

11+3z

Step-by-step explanation:

You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z

Answer:

Explanation:

9 − 3z + 4 + 6z − 2

-3z + 6z + 9 + 4 - 2

3z + 9 + 4 - 2

Answer:

Area of the gray region = 64 square units

Step-by-step explanation:

Area of the white square = 64 square units

Length of a side of the given square = [tex]\sqrt{\text{Area}}[/tex]

                                                             = [tex]\sqrt{64}[/tex]

                                                             = 8 units

By Pythagoras theorem,

Length of diagonal DB = [tex]\sqrt{BC^2+CD^2}[/tex]

DB = [tex]\sqrt{8^2+8^2}[/tex]

     = [tex]8\sqrt{2}[/tex]

AD = DB = [tex]8\sqrt{2}[/tex] [Given]

OD = OC = [tex]\frac{1}{2}(DB)[/tex]

               = 4√2

Therefore, AO = AD + OD = 8√2 + 4√2

                                           = 12√2

Area of ΔACD = Area of ΔAOC - Area of ΔCOD

                        = [tex]\frac{1}{2}(AO)(OC)-\frac{1}{2}(CO)(OD)[/tex]

                        = [tex]\frac{1}{2}[(12\sqrt{2}\times 4\sqrt{2})-(4\sqrt{2})^2][/tex]

                        = [tex]\frac{1}{2}[96-32][/tex]

                        = 32

Therefore, area of gray part = Area of ΔACD + Area of ΔAED

                                               = 32 + 32

                                               = 64 square units

Answer:

64 square units

Answer:

Step-by-step explanation:

You have not provided any equations to choose from.

712÷2 = 712×½

Answer:

712/2 is 356 is that the question

Step-by-step explanation:

hope this helps :D

Answer:

uhhh i think all postive.

Step-by-step explanation:

conclusion drawings

Answer:

I am will take 20 years to get 20$

My friend will take 10 years to get 20$

Step-by-step explanation:

[tex]Let \: the \: no. \: of \: years : x \\ \\ for \: me \\ x \times (50 \times 2\%) = 20 \\ x \times 1 = 20 \\ x = 20 years\\ for \: my \: friend \\ x \times (50 \times 0.04) = 20 \\ 2x = 20 \\ x = 10 \: years[/tex]

I hope this is be good for you and I want this money

Answer:

You: 20 years

Friend: 1 year

Step-by-step explanation:

The work for you is Underlined

The work for the friend is Italic.

2% times 100=0.02

20=50x0.02t

20=1t

20/1=20

4% times 100=0.04

20=50x0.04t

20=2t

20/2=10

Hope this helps!!

Answer:6.12

Step-by-step explanation:

got the answer right

Answer:

on khan the answer is 6.12

Answer:

1. <A° = 50°

2. CB = 10.7

3. AB = 14

Step-by-step explanation:

1. Determination of angle A.

A° + B° = C°

B° = 40°

C° = 90°

A° + 40° = 90°

Collect like terms

A° = 90° – 40°

<A° = 50°

2. Determination of CB

Angle B = 40

Opposite = AC = 9

Adjacent = CB =?

Length CB can be obtained by using Tan ratio as illustrated below:

Tan B = Opposite / Adjacent

Tan 40 = 9 / CB

0.8391 = 9 / CB

Cross multiply

0.8391 × CB = 9

Divide both side by 0.8391

CB = 9 / 0.8391

CB = 10.7

3. Determination of AB

Angle B = 40

Opposite = AC = 9

Hypothenus = AB =?

The length AB can be obtained by using Sine ratio as illustrated below:

Sine B = Opposite / Hypothenus

Sine 40 = 9 / AB

0.6428 = 9 / AB

Cross multiply

0.6428 × AB = 9

Divide both side by 0.6428

AB = 9 / 0.6428

AB = 14

Answer:

5,10,15?

Step-by-step explanation:

???

Answer:

The object will sink

Step-by-step explanation:

I) The density of water is 1g/cm³.

II) The object's density is greater than 1g/cm³, thus it will sink.

x=3

pls mark as brainliest

Answer:

x=3 is the answer

Step-by-step explanation:

Mark as brainliest please!

Answer:

The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .

Step-by-step explanation:

Answer: 60

3 x 4 x 5 = 60

Answer:

If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.

Step-by-step explanation: pls brain list

Answer:

Probability of selecting two songs from each category

= (22C2)*(14C2)*(7C2)*6!

Step-by-step explanation:

The total songs in the playlist will be 6

Two songs from each playlist

Number of ways of selecting playlist

= N(select 2 from each category and then arrange the selected 6)

Probability of selecting two songs from each category

= (22C2)*(14C2)*(7C2)*6!

Answer:

slope = 10/1

Step-by-step explanation:

slope is the vertical rise over the horizontal rise

if you select two points on the line -- I used (10, 0) and (20, 20) -- and subtract the y-values you will get the vertical rise (20 - 0 = 20); if you now subtract the x-values (20 - 10 = 10) you will get the horizontal rise

so, 20/10 or 10/1

if you go from point (10, 0) to (20, 20) then you go up by 10 and over to the right by 1

Answer:

202

Step-by-step explanation:

Answer:

202

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got a 100%

Answer: 7.83 years

:)))

Answer:

The correct answer is 3.

Answer:

The answer is -14x

Step-by-step explanation:

5 - 16 = -11

-3 + -11 = -14

(all we have left is the x)

-14 + x = -14x

Answer:a

Step-by-step explanation:

Answer: 4(−x+2)(x+3)

Step-by-step explanation:

−4x+24−4x^2

−4x^2−4x+24

4(−x+2)(x+3)

Answer: The area of the composite figure is 240.

Step-by-step explanation: For the area of the rectangle, multiply the length and width. That's 20 x 10, which is 200. Now we have to find the area of the triangle. That's length x height x 1/2. 20 x 4 is 80, and then half of that is 40. Add 200 and 40 to get 240.

Answer:

Tank B has 4 more gallons than tank A.

Step-by-step explanation: