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.

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

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

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]

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

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

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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Answer:

Sundeep will arrive in Barcelona at 12pm

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.

Answer:

AC < AB

Step-by-step explanation:

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

Answer:

its being reflected over the y-axis

Step-by-step explanation:

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

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.

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

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!

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.

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

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 value of x is 13 in the rhombus ABCD

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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Answer:

C

Step-by-step explanation:

Answer:

hi its c because its not a traight line

Step-by-step explanation:

Answer:

5000

Step-by-step explanation:

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

Answer:

Answer  B: 2

Step-by-step explanation:

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

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:

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.

Answer:

yes because I have no idea what I'm doing

Step-by-step explanation:

idek don't use this

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!

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

Answer:3/4

Step-by-step explanation:

tan^2+1=sec^2

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

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