Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.

Answers

Answer 1

Answer:

192 cm

Step-by-step explanation:

length of the ribbon needed = perimeter of right angled triangle x 2

to determine perimeter, the value of the hypotenuse needs to be known

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

32² + 24²

= 1024 + 576

= 1600

square root = 40

length of rope = 2 x (40 + 32 + 24) = 192


Related Questions

What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?

Answers

Answer:

y=1/3x+7

Step-by-step explanation:

Hi there!

We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)

Parallel lines have the same slopes, but different y intercepts

So we need to find the slope of x-3y=21

To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

We'll need to isolate y onto one side

subtract x from both sides

-3y=-x+21

divide both sides by -3

y=1/3x-7

1/3 is in the place where m is, so 1/3 is the slope of the line

it's also the slope of the line parallel to x-3y=21

here's the equation of the line parallel to x-3y=21 so far:

y=1/3x+b

we need to find b

as the line passes through (-6,5), we can use it to solve for b

substitute -6 as x and 5 as y

5=1/3(-6)+b

multiply

5=-2+b

add 2 to both sides

7=b

Substitute 7 as b into the equation

y=1/3x+7

Hope this helps!

I will give branliest if it let's me! Please help! I'll give 5 star rating, thanks and 40+ points!

Answers

Answer:

B

Step-by-step explanation:

These are corresponding angles if i remember correctly.

Answer:

Supplementary

Step-by-step explanation:

The angles add up to 180 degrees

Noah wants to make the kite shown below out of cloth.He wants to determine how much cloth he needs.What is the area,rounded to the nearest square centimeter,of Noah's kite?

Answers

Answer:

Step-by-step explanation:

Area 32

rounded up 3/16

Noah needs 1063 square centimeters of clothes.

The area of the kite is 1063 square centimeters.

The correct option is B.

What is a kite's shape?

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

To find the area of a kite, you need to use the formula:

Area = (diagonal 1 x diagonal 2) / 2

where "diagonal 1" and "diagonal 2" are the lengths of the two diagonals of the kite.

To use this formula, follow these steps:

Here, if "diagonal 1" measures (42.7 + 22.5) cm and "diagonal 2" measures (16.3 + 16.3) cm, the area of the kite would be:

Multiply the length of "diagonal 1" by the length of "diagonal 2".

That means the result is 2125.52

Divide the result by 2.

2125.52/2

= 1062.76

≈ 1063

Therefore, the area of the kite is 1063 square centimeters.

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The complete question:

Noah wants to make the kite shown below out of cloth.

He wants to determine how much clothes he needs.

What is the area, rounded to the nearest square centimeter, of Noah's kite?

The image of the kite is given below.

HELP PLZ

Does the Graph Represent A Function? Why Or Why Not?

Answers

Answer:

C

Step-by-step explanation:

Answer:

hi its c because its not a traight line

Step-by-step explanation:

help me complete it fast pls

Answers

Answer:

AC < AB

Step-by-step explanation:

We can see just by looking at it, they are not the same length.

Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true

Answers

Answer:

C. Only statements #1 & #3 are true.

Step-by-step explanation:

A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).

All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.

Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.


The picture up above

Answers

Answer:

its being reflected over the y-axis

Step-by-step explanation:

A² + b² = 7b and b² + (2b-a)² = 7² find (a - b)².

Answers

Answer:

(a - b)^2 = 49 - 4b^2 +2ab

Step-by-step explanation:

Given: a^2 + b^2 = 7b (assuming A is really “a”)

b^2 + (2b - a)^2 = 7^2

Find; (a - b)^2

Plan: Use Algebraic Manipulation

Start with b^2 + (2b - a)^2 = 7^2 =>

b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.

a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms

a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>

a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2

(a - b)^2 = 49 - 4b^2 +2ab

Double Check: recalculated ✅ ✅

(a - b)^2 = 49 - 4b^2 +2ab

Quadrilateral ABCD has coordinates A(3,-5), B(5,-2), C(10,-4), D(8,-7). Quadrilateral is a

Answers

Answer:

Quadrilateral is another word for a shape with four sides.

Step-by-step explanation:

Answer:

Parallelogram

Step-by-step explanation:

AB=CD

AD=BC

BD not equal to AC (Diagonals are not equal)

AB not equal to BC (Adjacent sides are not equal)

Thus the quadrilateral is parallelogram

Brainliest please

b = 9, c = 16

a =

help please ;(

Answers

Answer:

right triangle ?

a = 13.288 ?

Step-by-step explanation:

[tex]c^{2}[/tex] - [tex]b^{2}[/tex] = [tex]a^{2}[/tex]

256 - 81 = 175

[tex]\sqrt{175}[/tex] = 13.288

The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?

Answers

Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]

Volume of ice cream

[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.

Distribute 5x\left(1+3x\right).5x(1+3x)

Answers

Answer:

5x + 15x²

Step-by-step explanation:

Given the expression 5x(1+3x)

Generally, according to the distribution rule,

A(B+C) = AB + AC

A is distributed over B and C

Similarly,

5x(1+3x)

= 5x(1) + 5x(3x)

= 5x + 15x²

Hence the expression required is 5x + 15x²

Choose the scenario that could be represented by 5/6
A. Five friends share six pizzas equally. B. Six pounds of oats are divided equally among five horses.
C. A six-foot string is cut into five equal pieces.
D. A five-hour bus trip is divided into six equal legs. ​

Answers

Answer:

d. A five-hour bus trip is divided into six equal legs.

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

A - You'd divide the 6 pizzas by 5 friends. 6/5.

B - You're dividing the 6 oats by 5 horses. 6/5.

C - You're dividing the 6-ft string by 5 pieces. 6/5.

D is the only one dividing a whole of 5 into 6 parts.

pls help me solve pls show how you got the answer

Answers

Step-by-step explanation:

(-13) + 7 – (-2) + (-6) + ( ) = 0

Let the unknown be "y"

-13 + 7 + 2 - 6 + y = 0

-10 + y = 0

y=10.

The missing Number is 10.

Verify

-13 +7 + 2 -6 + 10 = 0.

Answer:

10

Step-by-step explanation:

I would like to see the answer for number one. You don't need to solve the rest.

Answers

Answer:3/4

Step-by-step explanation:

tan^2+1=sec^2


What is the measure of EGF?


What is the measure of CGF?




Answers

Answer:

65 degree, 15 degree

Step-by-step explanation:

In triangle GEF,

∠E = ∠G (Given)

Let's say,

∠E = ∠G = x

∠E + ∠G + ∠F = 180 (Angle sum property of Triangle)

=>x + x + ∠F = 180

=>2x + ∠F = 180

=>2x + 50 = 180

=>2x = 180-50

=> 2x =130

=> x = 130/2

=> x = 65

=>∠E = ∠G = 65

=>∠GEF = ∠EGF = 65 Degree

∠EGF + ∠CGF = 180

=>65 + ∠CGF =180

=>∠CGF = 180 - 65

=> ∠CGF = 15

The measure of degrees

Answers

Answer:

yes because I have no idea what I'm doing

Step-by-step explanation:

idek don't use this

On acm grid, point p has the coordinates (3,-1) and point q has the coordinates (-5,6)
Calculate the shortest distance between p and q

Answers

Answer:

√113

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(-5 - 3)² + [6 - (-1)]²

√(-8)² + (7)²

√(64) + (49)

√113

An internet company charges its customers in the following way. The internet is free for the first five hours each month and then is charged at a rate of 10 cents per hour. a) Derive a formula for calculating the cost, $C, of h hours of internet use. b) Use your formula to calculate the monthly cost of 55 hours of internet use.​

Answers

Answer:

$500

Step-by-step explanation:

f(x) = 0 + 10h

f(x) = $C

$C = 0 + 10(50)

55-5 = 50

$C = 10(50)

$C = $500

llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter

Answers

Answer:

Step-by-step explanation:

If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,

2x + 10 + 4x + 80 = 180 and

6x = 90 so

x = 15


A. Y SO
OB. X30
C. All real numbers
D.x20

CAN SOMEBODY PLEASE HELP!!

Answers

May be , C but not sure.

help pleasee i’ll mark you as the brainliest if you answer less than 10 mins

Answers

Answer:

Answer  B: 2

Step-by-step explanation:

You can multiply the numbers of the smaller triangle and determine the answer

An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
0-26
-2.
02
O 26

Answers

Answer:

The answer would be B

Answer:

-2

Step-by-step explanation:

We know that the object is at 12 on a horizontal line.

The horizontal line of a graph is the x axis, so lets think of 12 as 12x

On a graph, left is negative, and right is postive.

In this case we need to move 14x to the right, or -14x.

We start at 12x, so its going to be:

12x-14x=-2x

So -2 is the postition of the object on the x axis.

This is answer B.

Hope this helps!

Need help on this question asap please

Answers

Answer:

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Step-by-step explanation:

A proportion is setting two ratios to be equal to each other.

You are given the price of 1 ticket, so you can set up a ratio of price to ticket.

$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]

The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.

$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]

To write a proportion, set the two ratios equal.

[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]

This proportion does not appear in the choices.

Take the reciprocal of both sides.

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?

Answers

Answer:

Sundeep will arrive in Barcelona at 12pm

50 POINTS please help!
quickly

What is the value of sinX?

Answers

Answer letter B. 5 45 / 41

if 52% = 2600 what would 100% be

Answers

Answer:

5000

Step-by-step explanation:

[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]

The answer is 5000. Got it right on the test

Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

Answers

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:

[tex]k = \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - Input.

[tex]y[/tex] - Output.

If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:

[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]

[tex]k_{1} = \frac{45.5}{13}[/tex]

[tex]k_{1} = \frac{7}{2}[/tex]

[tex]k_{2} = \frac{y_2}{x_2}[/tex]

[tex]k_{2} = \frac{49}{14}[/tex]

[tex]k_{2} = \frac{7}{2}[/tex]

[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]

[tex]k_{3} = \frac{52.5}{15}[/tex]

[tex]k_{3} = \frac{7}{2}[/tex]

Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.

The graph of
y = x3 is transformed as shown in the graph below. Which equation represents the transformed
function?
5
4
3
2
1
3
-1
1
2
5
X
-2
y=x²-4
y =(x-4)

Answers

Y=x^3-2x-2x+1





The x axis at 1

The function f(x) = x³ after translation becomes g(x) = x³ - 4.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the function f(x) = x³ and its transformed graph as shown in the image.

The function f(x) is translated downwards. This is called downward translation. Assume that the function f(x) after the translation becomes g(x). The function f(x) = x³ passes through the origin. After translation, all the {y} - coordinates will be shifted in the downward direction by 4 units. So, we can write the final function as -

g(x) = f(x) - 4

g(x) = x³ - 4

Therefore, the function f(x) = x³ after translation becomes g(x) = x³ - 4.

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Figure ABCD is a rhombus.

Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.

What is the value of x?

13
14
26
28

Answers

X=13

You can set it up as (5x+25)+(7x-1)=180 or 5x+25=7x-1 and both equal 13

The value of x is 13 in the rhombus ABCD

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners

In figure ABCD is a rhombus

Given as Angle ∠ A = (5x + 25)

Angle ∠ D = (7x - 1)

Since adjacent angles of a rhombus add up to 180°

(5x + 25) + (7x - 1) = 180 and both equal

So, 5x + 25 = 7x - 1

Rearrange the terms in the equation,

7x - 5x = 1 +25

2x = 26

x = 13

Hence, the value of x is 13 in given figure.

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