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3 years ago

9

The ratio of the sales tax to the amount of a purchase is a fixed number in Town Q. The table shows the sales tax for a purchase

of $1,200.

1 answer:

Volgvan3 years ago

8 0

I think number #29 is A but may be B and number #30 is C

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QUESTION 1 1 POINT<br> Factor: 27m3<br> 64.<br> Provide your answer below:<br> Content attribution

pickupchik [31]

Answer:

$\boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2} + 12m + 16)}}}}$

Step-by-step explanation:

$\sf{27 {m}^{3} - 64}$

$\dashrightarrow{ \sf{( {3m)}^{3} - {(4)}^{3} }}$

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

$\longrightarrow{ \sf{(3m - 4)(3 {m}^{2} + 3m \times 4 + {4}^{2} }})$

$\longrightarrow{ \sf{(3m - 4)( {9m}^{2} + 12m + 16}})$

Hope I helped!

Best regards! :D

5 0

3 years ago

Which is an example of an algebraic expression?

kherson [118]

The best option is A) d - 90.

Expressions has no equal sign nor an inequality symbol. An expression has only standard or normal numbers, with variables and some basic mathematical operations.

4 0

3 years ago

The volume of a cube related to the area of a face by the formula V =A^3/2. What is the volume of a cube whose face has an area

11111nata11111 [884]

Answer:

Volume = 125 mm^3

Step-by-step explanation:

Here, we want to get the volume of the cube

What we have to do here is to substitute the value of the area

We have this as

:

V = 25^(3/2)

V = (√25)^3

V = 5 * 5 * 5 = 125 mm^3

6 0

2 years ago

Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

Ede4ka [16]

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

$Side\ 1 = 10$

$Side\ 2 = 14$

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

$x^2 = Side\ 1^2 + Side\ 2^2$

This gives

$x^2 = 10^2 + 14^2$

$x^2 = 100 + 196$

$x^2 = 296$

Take square root

$x = \sqrt{296$

$x = 17.2in$

3 0

3 years ago

How do you find the missing height of a triangle?

g100num [7]

Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The pythagorean theorem is $a^{2} +b^{2} =c^{2}$ where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

$3^{2} +4^{2} =c^{2}$

Simplify the equation to get:

$9+16=c^2$

Add 16 and 9 to get 25 and take the square root of both sides:

$\sqrt{25} =c$

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.

8 0

3 years ago

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