An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]

8.

[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]

9.

[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]

10.

[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]

11.

[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]

12.

[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]

13.

[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

there are 314.5 boys in the school .

Answer:

Solution given

let boys be x and girls be y.

now

according to the question;

x+y=575

and

y=x-54

substituting value of y in equation 1.

x+x-54=575

2x=575+54

x=629/2

x=314.5

Answer:

42 degrees

Step-by-step explanation:

triangle sum theorem says the sum of all triangles is equal to 180. I'm assuming this is a right triangle, so I created an equation similar to this:

90 + 48 + x = 180

Answer:

[tex]y=4(3)^{x}[/tex]

Step-by-step explanation:

Let the exponential function is,

f(x) = (b)ˣ

If this function has the base (b) = 3, function will be.

f(x) = (3)ˣ

If this function is transformed by a vertical stretch by a factor of 4,

New function will be,

g(x) = 4(3)ˣ

If the function 'g' is reflected across y-axis, new function will be,

h(x) = g(-x)

h(x) = [tex]4(3)^{x}[/tex]

Therefore, equation of the function will be,

[tex]y=4(3)^{x}[/tex]

Answer:

why was it ‍♂️

All of his grades were down below c level

hehe

=)

Answer:

729

Step-by-step explanation:

M has to be 2 and n has to be 3, because 2^3 = 8

if it was 3^2 it would be 9

2^3 = 8

3^(2*3) = 3^6 = 729

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

slope = -1/3

y-intercept = 4

x-intercept = 12

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

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

rearrange into slope intercept form

1.5x + 4.5y = 18

subtract 1.5x from both sides

4.5y = -1.5x + 18

Divide both sides by 4.5

y = (-1/3)x + 4

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

Slope

m = -1/3

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

y-intecept

b = 4

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

x intercept

this is where  y = 0

0= (-1/3)x + 4

add (1/3)x to both sides

(1/3)x = 4

Multiply both sides by 3

x = 12

Answer:

asa similarity postulate

Answer:

134

Step-by-step explanation:

the line where B and X are equal to 180 so you subtract 180 from B witch is 134

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

Answer:

Step-by-step explanation:

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Example:

Answer:

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

whats the height of the cylinder....

we cant find radius if not given height too

V = pie r^2 h

1357 = 22/7 x r^2 x 12

1357 = 264/7 r^2

multiply both side by 7/264 ;

r^2 = 36

r = 6in

The question has the image missing. Check the attachment for the complete question.

The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

The volume of a figure is the total space enclosed within the figure.

The volume of a cylinder of radius r units, and height h units is determined using the formula,

The volume of the cylinder = πr²h.

In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.

The volume of the cylinder is given to be 1357 in³ approximately.

By the formula,

The volume of the cylinder = πr²h

or, 1357 = 3.14*(r²)*12

or, 1357 = 37.68r²

or, r² = 1357/37.68

or, r² = 36.013 ≈ 36 = 6²

∴ r = 6.

∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

Learn more about the Volume of a figure at

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When he cubed ,

Result is x³

On further squaring x³, he got = (x³)²

[tex] {x}^{6} [/tex]

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Answer:

a.) He should shade in two

b.) This is because 7 is the magic number. This is in the sense that on player B's next turn there will be either 8 or 9 colored circles, which means you can just fill in the remaining amount.

Step-by-step explanation:

Answer:

102.75

Step-by-step explanation:

The two angles add to 164

<1 + <2 = 164

3x+5  + 5x+9 = 164

Combine like terms

8x+14 = 164

Subtract 14 from each side

8x+14-14 =164-14

8x = 150

Divide by 8

8x/8 = 150/8

x = 18.75

The larger angle is 5x+9 = 5(18.75) +9 =102.75

[tex]\longrightarrow{\blue{ c. \: y.x = z }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{z}{y} = x[/tex]

[tex]➺ \: z = y.x[/tex]

[tex]➺ \: y.x = z[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Option C : y . x = z is the correct answer.

We have the following expression -

[tex]$\frac{z}{y} = x[/tex]

We have to identify the true statements from the one's mentioned.

We have -

⇒ [tex]$\theta = \theta_{o}[/tex](1 + R)

⇒ R =  [tex]\frac{\theta}{\theta_{o} } - 1[/tex]

According to the question, we have -

[tex]$\frac{z}{y} = x[/tex]

We can rewrite it as -

x . y = z

Hence, Option C is the correct answer.

To solve more questions on Rearranging expressions, visit the link below -

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Answer:

376

Step-by-step explanation:

16×16+16×15÷2

=256+120

=376

Answer:

it is 14 pls make me brainliest pls

Step-by-step explanation:

Answer:For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

What is the average number of rainbows each year in Honolulu?

How many pedestrians would use a walkway built over a busy road?

How many police cars are equipped with computers?

What is the most popular car color in the teachers’ parking lot?

Step-by-step explanation:

Answer:

TV = 4

Step-by-step explanation:

answer choice 4. 4

Answer:

48

Step-by-step explanation:

I did the work, the answer is 48

The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters

Step-by-step explanation:

Answer:

Send q picture of the graphs so I can help

Step-by-step explanation:

need pictures of graph

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

Answer:

2.58

Step-by-step explanation:

3 1/3% = 0.03333

2.5 x 1 + 0.33333 gets us 2.5833

Simplify to 2.58

We add the 1 to 0.33333  to get us the original number.

Hope this Helps!

Answer:

24 is right

Step-by-step explanation: