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3 years ago

20 pounds to 16 pounds is what present

Mathematics

2 answers:

suter [353]3 years ago

7 0

The answer is twenty percent

ExtremeBDS [4]3 years ago

6 0

Answer:

Decreased by 20%.

16 lbs is 80% of 20 lbs.

Step-by-step explanation:

$\frac{y}{100} :\frac{16}{20}$

y × 20 = 16 × 100

20y = 1600

20y ÷ 20 = 1600 ÷ 20

y = 80

100% - 80% = 20%

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In how many ways can 3 girls divide 10 pennies if each must end up with at least one penny?

Bad White [126]

Answer:

36.

Step-by-step explanation:

We are asked to find the number of ways in which 3 girls can divide 10 pennies such that each must end up with at least one penny.

The selection can be done by selecting two dividing likes between the 10 pennies such that the set is divided into three parts.

Since each girl must have one penny, so no girl can have 0 penny. So the dividing like cannot be placed at end points, beginning and at the end. Therefore, we are left with 9 positions.

Now we need to find number of ways to select two positions out of the 9 positions that is C(9,2).

$_{2}^{9}\textrm{C}=\frac{9!}{7!*2!}=\frac{9*8*7!}{7!*2*1}=\frac{9*8}{2}=9*4=36$

Therefore, there are 36 ways to divide 10 pennies between 3 girls.

4 0

3 years ago

In Exploration 4.1.1 problem 3 pre calc

IrinaVladis [17]

The reference triangle is a right triangle and therefore, the properties of

the reference triangle are similar to right triangle properties.

The correct options are as follows;

The reference triangle always have a leg perpendicular to the x-axis, the hypotenuse is positive, and θ is the angle adjacent to the x-axis and hypotenuse.

<h3>Reasons</h3>

The reference triangle is formed by the construction of a perpendicular

to the x-axis from the terminal side of an angle, oriented in the standard

position.

Therefore;

The reference triangle is a right triangle that always has a leg perpendicular to the x-axis.

The hypotenuse is taken as positive, given that the magnitude of the hypotenuse is the square root of the sum of the squares of the legs.

In the first quadrant, the reference angle, θ, is the same as the standard position angle and it is given by the angle formed between the x-axis and the hypotenuse side.

The correct options are therefore;

In Trigonometry it is important that the right triangle (reference triangles)

have a consistent orientation. The reference triangles always have a leg

perpendicular to the x-axis, the hypotenuse positive and the θ is

adjacent to the x-axis and hypotenuse.

Learn more about reference angles and right triangles here:

brainly.com/question/10657736

brainly.com/question/1593685

6 0

3 years ago

Help I need all of themmmm place

Aliun [14]

This is what I got. But I am not 100% sure on 24 and 25 since I did them a few months ago I hope I was of help though

7 0

4 years ago

If f ( x ) = 5x^2 - 2x + 6 and g ( x ) = 4x^2 + 6x - 1, then find f ( x ) + g ( x )

musickatia [10]

Answer:

9x^2+4x+5

Step-by-step explanation:

f ( x ) = 5x^2 - 2x + 6

g ( x ) = 4x^2 + 6x - 1,

Add the functions together

f(x)+ g(x) = 5x^2 - 2x + 6 + 4x^2 + 6x - 1

Combine like terms

=9x^2+4x+5

4 0

2 years ago

Select the correct answer from each drop-down menu.

Svetradugi [14.3K]

If you read the question you can find it missing some information. By Googling it, you can find the complete question here. brainly.com/question/12852445

The given statement m∠1 = m∠4 and m∠3 = m∠5, its reason is Alternate Interior Angle.

Step-by-step explanation:

Let ABC is a triangle and a line DE traverses through the point B.

That results in AC is parallel to DE.

From the diagram, m∠1 and m∠4 is alternate to each other and m∠3 and m∠5 is alternate to each other. Also, they present in the interior position.

According to alternate interior theorem, when a line traverses through two parallel line creates equal angles in the interior sides which the angles will be opposite to each other.

⇒ m∠1 = m∠4 and m∠3 = m∠5. (refer the diagram).

Now let us continue with the proof,

The total angle of the straight line is 180°.

Here the straight line is DE which consists of three angles m∠4, m∠2, m∠5.

⇒m∠4 + m∠2 + m∠5 = 180° .

we know that, m∠1 = m∠4 and m∠3 = m∠5.

Let us substitute in the above equation.

m∠1 + m∠2 + m∠3 = 180°.

Hence proved.

4 0

3 years ago

Read 2 more answers