Joe has 0.4 of a black forest cake, which is 14 slices of the cake,left. How many slices of cake were there originally?

Circumference of the barrel is 51.81 unit

Given that;

Diameter of barrel = 16.5 unit

Find:

Circumference of the barrel

Computation:

Radius of barrel = 16.5/2 unit

Radius of barrel = 8.25 unit

Circumference of the barrel = Circumference of the circle

Circumference of the barrel = 2πr

Circumference of the barrel = 2(3.14)(8.25)

Circumference of the barrel = 51.81 unit

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Answer:

Step-by-step explanation:

Part A: 24.50 feet, Part B: 46.68 square feet, I just took the test and got this right!

The perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.

What is Area of Circle?

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159

According to question, the radius of the partial circle with center A is 4 feet.

We have to find the perimeter and area of the figure.

Perimeter of the figure=2πr×[tex]\frac{3}{4}[/tex] +[tex]4\sqrt{2}[/tex]

=2×[tex]3.14[/tex]×[tex]4[/tex]×[tex]0.75+4[/tex]×[tex]1.414[/tex]

[tex]=24.50[/tex]

Area of figure=[tex]\frac{3}{4}[/tex] πr²+[tex]r^{2}[/tex]×[tex]\frac{1}{2}[/tex]

=[tex]0.75[/tex]×[tex]3.14[/tex]×[tex]16[/tex][tex]+16[/tex]×[tex]0.5[/tex]

[tex]=37.68+8[/tex]

[tex]=45.68[/tex]

Hence, we can conclude that the perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.

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Answer:

The answer is "31.888".

Step-by-step explanation:

When their respective angles were congruent or their side lengths have a constant relation, they know that two quadrilaterals are similar

FGHI is similar to JKLM because of quadrilateral

[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888\\\\[/tex]

Answer:

12.3

Step-by-step explanation:

Trust me I got it wrong

Answer:

-4

Step-by-step explanation:

Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

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Answer:

6 hours

Step-by-step explanation:

Bc 2hours for 1/3 so and 4 more hours and u get 6. Hope this helps u have a good day. Sorry if wrong

Answer:

6 hours

Step-by-step explanation:

Answer:

# = number of tiles + 2

Step-by-step explanation:

So It would be 3,5,7 but your would add 2 to each number of tiles increased.

There were 0 tiles in step 0

Answer:

It can be observed that there is a pattern

Step 1

Step 2

Step 3

Step 4

Step n

Answer:

The answer is B

Step-by-step explanation:

Answer:

Two numbers (integer only): 5 , 12

Step-by-step explanation:

Suppose two numbers are integers: ax and ay, a is common factor and x,y no more common factor

axy = 60   a: 1,2,3,4,6,10,12,30

ax - ay = a(x-y) = 7

after test , I exclude 3,4,6,10,12,30

if a=1    xy=60    (x,y): (3,10) (4,15) (5,12)

(5,12): LCM: 5*12=60     12-5=7

if a=2       xy=30  (x,y): (2,15) (3,10) (5,6)  No solution in this combination

Answer:

(3x + 1)(2x + 1)

Step-by-step explanation:

Remark

This thing really does factor.

Both the first and last coefficients are prime, so if it factors easily 1 and 3 and 1 and 2 must be there somewhere.

(3x + 1)(x + 2)    would be the logical guess. That turns out to be correct.

5/2

10/4

15/6

50/20

300 G  150 G 75 G

140 G 70 G 35 G

420 G 210 G 105 G

220 G 110 G 55 G

Total surface area

=2 ×(area of triangle) +( area of rectangle 1) + (area of rectangle 2) + (area of rectangle 3)

2×(1/2 × 16 ×12) + (10×12)+(16×10)+(20×10)

=672 cm²

Answer:

Tbh Im not sure

Step-by-step explanation:

Answer:

I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.

Step-by-step explanation:

I can hardly read the signs between the dimensions. This is my best guess.

Area Shaded = Area Rectangle - Area Triangle

Area Rectangle = (x + 5)(x + 6)

Area Triangle = 1/2 (x + 5 ) ( x + 6)

Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)

Area shaded = 1/2 (x + 5)(x + 6)

Area Shaded = 1/2 (x^2 + 11x + 30)

If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2  (x+5)(x - 6)

Area Shaded = 1/2 * (x^2 - x - 30)

Answer:

C

Step-by-step explanation:

In a 45-45-90 triangle, two of the sides are congruent because the angles are congruent. Choice C is the only answer in which the sides are congruent.

Answer:

Right triangle

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle.

Answer:

C

Step-by-step explanation:

sorry, I dont have time for a full explanation. maybe wait for the next person's answer too. just to verify mine.

hope this helps <3

Answer:

AC = 36

Step-by-step explanation:

since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.

ef/bc = 5/45 (1/9) = ed/ba =  2/18 (1/9)

we can see the sides are in a ratio of 1:9, and plug it in the proportion

df/ac = 1/9

4/ac = 1/9

cross multiply and we get that ac = 36

Answer:

r = su/tv

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

su = rtv

Step 2: Solve for r

Answer:

-12

Step-by-step explanation:

-8(1/4)(6)

-8/4=-2

-2*6=-12

Answer:

$19,260

Step-by-step explanation:

6,000 * 7% = 420

6,000 + 420 = 6,420

6,420 * 3 = 19,260

easy

Answer:

$1,260

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time (years)

Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Hope this helps! :)

Have a great day!

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment= $8,800

Percentage decrease= 26.5%

To calculate the money Maya lost, we need to use the following formula:

Decrease on dollars= 8,800*0.265

Decrease in dollars= $2,332

At the end of the years she has:

Money left= 8,800 - 2,332

Money left= $6,468

Given:

The figure of a triangle.

To find:

The value of x.

Solution:

According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.

Using triangle proportionality theorem, we get

[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]

[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]

Multiply both sides by 40.

[tex]x=\dfrac{9}{20}\times 40[/tex]

[tex]x=9\times 2[/tex]

[tex]x=18[/tex]

Therefore, the value of x is 18.

Answer:

1. 3x -6 + 4 = -20

2. 3x - 2 = -20

3. 3x = -18

4. × = -6

Answer:

The first one is 3x-2=-20. So the - 2 will cross the equal sign making it positive so it will be 3x = -20+2 given you 3x = - 18. You will divide it by 3 given u - 6. So all of them x= - 6

Answer:

The common ratio of the geometric sequence is:

[tex]r=-2[/tex]

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

where

Given the sequence

[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]

Compute the ratios of all the adjacent terms:  [tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-2[/tex]

Therefore, the common ratio of the geometric sequence is:

Answer:

Figure or Diagram Mandatory

GOOD LUCK FOR THE FUTURE! :)

Answer:

The answer is $32000.

Step-by-step explanation:

Answer:

Rs. X + Rs. 10y

Step-by-step explanation:

Charge for 40 km travel = Rs. x per km

Charge for every additional km traveled = Rs. y

Amount paid for 50 km

Fixed charge for 40km = Rs. X

Additional km = 50 - 40 = 10 kilometer

Total charge :

Rs. X + Rs. 10y