270 is 75% of what number?

Answers

Answer 1

Answer: First, you have to divide 270 by 3, so you get 25%. This comes out to be 90. So, 90 is 25%. Now, multiply this by four to get 100%. This comes out to be 360. So, 270 is 75% of 360, which answers the question '270 is 75% of what number?'

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Match the term with the definition. Match

Term

Definition

corresponding angles A) the constant by which a figure (or the dimensions of a figure) increases or decreases
scale factor B) corresponding sides of two similar triangles
proportional C) figures that have congruent angles and corresponding sides that are proportional to one another
similar polygons D) these corresponding parts are congruent, given two similar triangles
scale drawing E) a depiction of a real object with accurate sizes except they have all been reduced or enlarged

Answers

Part 1.Corresponding angles

= (e) .Corresponding sides of two similar triangles.

Remember - The angles in matching corners are called Corresponding Angles.

Part 2.Scale factor

= (d).the constant by which a figure (or the dimensions of a figure) increases or decreases.

Part 3.Proportional

= (c).these corresponding parts are congruent, given two similar triangles.

Part 4.Similar polygons

= (a).figures that have congruent angles and corresponding sides that are proportional to one another.

Part 5.Scale drawing.

= (b).a depiction of a real object with accurate sizes except they have all been reduced or enlarged.

A car salesperson earns a 18% commission on every car sold. The salesperson sells a car for $37,560. What is the commission?

Answers

100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

Henry has 3 black shirts and 7 blue shirts in his wardrobe. Two shirts are drawn without replacement from the wardrobe. What is the probability that both of the shirts are black?

Answers

Answer:

The probability that both of the shirts are black is $(1)/(15)$

Step-by-step explanation:

Given : Henry has 3 black shirts and 7 blue shirts in his wardrobe. Two shirts are drawn without replacement from the wardrobe.

To find : What is the probability that both of the shirts are black?

Solution :

Number of black shirts = 3

Number of blue shirt = 7

Total number shirts = 3+7=10

The probability that first shirts is black is $(3)/(10)$

Two shirts are drawn without replacement from the wardrobe.

Number of black shirt left = 2

Total shirts = 9

The probability that second shirts is black is $(2)/(9)$

So, The probability that both of the shirts are black is

$P=(3)/(10)*(2)/(9)$

$P=(6)/(90)$

$P=(1)/(15)$

Since there are three black shirts and 7 blue shirts, he has a 3/10 chance of picking a black.

Choose the correct simplification of the expression (2x − 6)(3x2 − 3x − 6).6x3 − 24x2 + 6x + 36
6x3 − 24x2 + 6x − 36
6x3 + 24x2 − 6x + 36
6x3 − 24x2 + 6x + 12

Answers

If you would like to solve (2x - 6) * (3x^2 - 3x - 6), you can do this using the following steps:

(2x - 6) * (3x^2 - 3x - 6) = 2x * 3x^2 - 2x * 3x - 2x * 6 - 6 * 3x^2 + 6 * 3x + 6 * 6 = 6x^3 - 6x^2 - 12x - 18x^2 + 18x + 36 = 6x^3 - 24x^2 + 6x + 36

The correct result would be 6x^3 - 24x^2 + 6x + 36.

Answer:

Option A is correct.

Correct simplification of the given expression = $6x^3-24x^2+6x+36$

Step-by-step explanation:

Given the expression: $(2x-6)(3x^2-3x-6)$

The following steps required for the multiplication of polynomials are:

Distribute each terms of the first polynomial to every term of the second polynomial.

Combine like terms

Apply these steps to the given expressions;

$2x(3x^2-3x-6) -6(3x^2-3x-6)$

when you multiply two terms together you must multiply the coefficient (numbers) and add the exponent.

⇒ $6x^3-6x^2-12x -18x^2 +18x +36$

Combine like terms;

$6x^3-24x^2+6x+36$

Therefore, the correct simplification of the given expression is, $6x^3-24x^2+6x+36$

A water sprinkler has a range of 5meters. The jet of water from the sprinkler sweeps out at an angle of 85degrees as the nozzle turns. What is the area watered by the sprinkler?