ABC and ADC are triangles. The area of triangle ADC is 52m^2. Work out the length of AB. Give your answer to 1 decimal place.

Answer: Amount in account after 3 years $513.52

Interest accrued in 3 years is $63.52

Step-by-step explanation:

450 x 4.5% = 20.25

Add to balance 20.25 + 450 = 470.25

470.25 x 4.5% = 21.16

Add to balance 21.16+470.25=491.41

491.41 x 4.5% = 22.11

Add to balance 22.11 + 491.41 = 513.52

Answer:

6 sticks for the pattern of number 6

3 sticks for the pattern of number n

Step-by-step explanation:

Please check the attached picture.

This is a standard way to create number 6 and number n from sticks.

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

(a)

Record the number of sticks and look for a pattern

1 → 6 sticks

2 → 10 sticks

3 → 14 sticks

There is a difference of + 4 between each pattern, thus add 4 to the previous pattern , that is

4 → 14 + 4 = 18

5 → 18 + 4 = 22

6 → 22 + 4 = 26

That is there are 26 sticks in pattern number 6

---------------------------------------------------------------------------

(b)

Multiplying the pattern number (n) by the difference 4 gives

4 × 1 = 4 ← require to + 2 for 6

4 × 2 = 8 ← require to + 2 for 10

4 × 3 = 12 ← require to + 2 for 14

Thus pattern number n would have

sticks = 4n + 2

Answer:

Step-by-step explanation:

In the picture above

I hope it helps :)

Answer:

Chopped tomatoes

= 3/4 x 800 = 600g

Stock

= 3/4 x 600 = 450 ml

Red wine

= 3/4 x 300 = 225 ml

Answer: See below

Step-by-step explanation:

For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.

Chopped tomatoes

[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex]             [cross multiply]

[tex]400x=240000[/tex]                         [divide both sides by 400]

[tex]x=600g[/tex]

We will need 600 g chopped tomatoes.

------------------------------------------------------------------------------------------

Stock

[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex]               [cross multiply]

[tex]400x=180000[/tex]                         [divide both sides by 400]

[tex]x=450[/tex]

We will need 450 ml of stock.

------------------------------------------------------------------------------------------

Red wine

[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex]                            [cross multiply]

[tex]400x=90000[/tex]                           [divide both sides by 400]

[tex]x=225[/tex]

We will need 225 ml of red wine.

Answer:

g = 48 divided by 4

Step-by-step explanation:

Answer:

g=48/4

Step-by-step explanation:

this thing / mean divided

Answer: Graph C is correct

Step-by-step explanation:

The region below the dashed red line is y < 4/3x +2

The region below the solid purple line is y ≤ -1

The region below and left of the solid green line is y ≤ -3x

Answer:

C is correct

Step-by-step explanation:

Yes, most def

Answer:

It is C (4,3). Hope it helps.

Answer:

C. (4,3)

Step-by-step explanation:

To find the midpoint you must individually add the X's and the Y's and divide by 2. For example in this case, -2+10=8 divide by 2 and get 4. Then 3+3=6 divide by 2 is 3. It's that simple.

Answer:

If your vertex is at the orgin you can't have a point on (6,0)

Step-by-step explanation:

Answer:

y^2=2/3x

Step-by-step explanation:

Since the vertex is at the orgin and the focus is on the right side of the x axis,

the parabola will open right!

(h,k)

it would be a y^2=4px equation

6/4 = 2/3

Just always divde four by the focus

Answer:

V = πr^2h

V = 40π m^3

Step-by-step explanation:

volume of a cylinder

V = Bh,

where B = area of the base

When the base is a circle, then the area of the base is

B = πr^2

Then the volume of the cylinder is

V = πr^2h

You are given the radius is 2 m, and the height is 10 m, so you have

r = 2 m, and h = 10 m

V = π(2 m)^2(10 m)

V = π(4)(10) m^3

V = 40π m^3

Answer:

40

Step-by-step explanation:

just got it right

0.96176920308

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

Learn more about the Venn diagram here:

https://brainly.com/question/1605100

#SPJ5

The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

Answer:

[tex]\frac{5x+1}{5}[/tex]

Step-by-step explanation:

Given Condition:

=> x+50%-30%

=> x+20%

=> [tex]x+ \frac{20}{100}[/tex]

LCM = 100

=> [tex]\frac{100x+20}{100}[/tex]

Taking 20 common

=> [tex]\frac{20(5x+1)}{100}[/tex]

=> [tex]\frac{5x+1}{5}[/tex]

Hope this helps!

Don't hesitate asking anything regarding this!

Answer:

y = tan(x) - 2

Step-by-step explanation:

Answer:

y=tan(x)-2

Step-by-step explanation:

Answer:

933+x < 1500

Step-by-step explanation:

Let x be the next purchase

The first charge of 933 and the next purchase is less than 1500 dollars

933+x < 1500

Answer:

1500>933+c

Step-by-step explanation:

,............

Answer:

Step-by-step explanation:

Given that:

4x + 5x = $440

9x = $440

x = $49 (Approx.)

So, she received :

from the stock = 4 x 49 = $196

from the bond = 5 x 49 = $245

SO, now, how much did she invest ?

Answer:

Step-by-step explanation:

Let x represent the amount invested at 4% and y the amount at 5%.  Then x + y = 1000.  

Then:

0.04(1000 - x) + 0.05x) = 440 (total interest)

Then:

40 - 0.04x + 0.05x = 440, or

0.01x = 400, or

x = 40000 (not possible, because the principal is only $1000.

Something's wrong here.  Double check to ensure that you've copied the problem down correctly.

Answer:

Solution,

[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Answer :

Here,

Diameter = 5cm so, radius = 5/2 = 2.5

Height = 30 cm

Surface area of a cyclinder = 2πr(r+h)

= 2 × 22/7 × 2.5 ( 30 + 2.5 )

= 5  ×  22/7  ×  32.5

= 510.71 cm²

Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]

Answer:

B(3, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

let the coordinates of B = (x, y )

Then apply the formula and equate coordinates to midpoint coordinates, that is

x = [tex]\frac{1}{2}[/tex] (x + 1) = 2 ( multiply both sides by 2 )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

-----------

y = [tex]\frac{1}{2}[/tex] (y + 2 ) = 5 ( multiply both sides by 2 )

y + 2 = 10 ( subtract 2 from both sides )

y = 8

----------

Thus B = (3, 8 )

Answer:

answer mine i will answer yours

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150

Answer: Yes, it is a function.

Step-by-step explanation:

This question is:

"A relation between time and distance traveled by a biker is a function?"

Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.

In this relation the domain is time and the range is the distance.

Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.

Answer:

840 cm³

Step-by-step explanation:

Cut the prism into two cuboids.

The first cuboid has dimensions of 4 cm × 6 cm × 5 cm

The height is 4 cm, the width is 5 cm and the length is 6 cm.

The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.

The height is 8 cm, the width is 6 cm and the length is 15 cm.

The formula for the volume of the cuboid is l×w×h.

Length × Width × Height

The first cuboid has a volume of:

4 cm × 6 cm × 5 cm

= 120 cm³

The second cuboid has a volume of:

15 cm × 6 cm × 8 cm

= 720 cm³

Add the volumes of the two cuboids.

720 cm³ + 120 cm³

= 840 cm³

The volume of the prism is 840 cm³.

Answer:

V = 840 cm³

Step-by-step explanation:

Let's Divide this prism into two rectangular Prisms

Prism 1:

Volume = [tex]Length * Width * Height[/tex]

V = 15 * 8 * 6

V = 720 cm³

Prism 2:

Volume = [tex]Length * Width * Height[/tex]

V = 4 * 5 * 6

V = 120 cm²

Whole Prism

V = 720+120 = 840 cm³

Hey there! :)

Answer:

y = -3/2x - 6

Step-by-step explanation:

Begin by isolating the 'y' variable:

3x + 2y = -12

Subtract both sides by 3x:

2y = -3x - 12

Divide both sides by 2:

y = -3/2x - 6

Therefore, the equation in y = mx + b form is:

y = -3/2x - 6

Answer:

y= -1.5x-6

Step-by-step explanation:

In order to turn this equation into y=mx+b form, we need to move x to the other side.

Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x

Step 2 : Now that we have everything on the right side, divide the equation by 2.

Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.

Answer:

[tex] \sin(b) = \frac{12}{13} [/tex]

Answer:

5 ft, I think

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

Answer:

Answer is option a) x = 4 ±√5

Step-by-step explanation:

[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

Answer: 30° each

Complementary angles are those that add up to 90° just to remind you!!

Answer:

[tex]-\frac{4}{5} OR -0.8[/tex]

Step-by-step explanation: