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4 years ago

15 paperclips or equal size weigh 2 grams altogether. Is the number of paperclips proportional to their weight?

1 answer:

4 0

Proportionality indicates how quantity vary in relation with other quantities. There are two types of proportionality, that is direct proportionality where an increase or a decrease in a quantity causes a corresponding increase or decrease in the other variable and inverse proportionality where decrease in a variable causes an increase in the other variable and vicevarsa. In this case the 15 paperclips have a total weight of 2 grams therefore each clip contributes a weight of 0.0133 grams, thus increasing the paperclips also increases the total weight. Thus, the number of paper clips is direct proportional to the total weight

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Please help me on this question<br> thank u

mafiozo [28]

System of equations:
w=(3/2)*h (1)
w*h=54 area (2)

w=54/h substitute into (1)
54/h=3h/2
3h²=54*2
h²= 36 (we take only positive solution)
h = √36=6
h=6 in.
w=(3/2)*h=(3/2)*6= 9
w=9 in.
correct answer is D

5 0

4 years ago

Will mark brainliest, please hurry!

Jlenok [28]

Answer:

The measure of angle ABC = The measure of angle A prime B prime C prime

Step-by-step explanation:

we know that

The transformation of the figure is a reflection, so after the transformation the shape still has the same size, area, angles and line lengths.

the triangles ABC and A'B'C' are congruent

therefore

the corresponding sides and corresponding angles are equal

The relationship between the measures of the angles of the two triangles is

$m$

8 0

3 years ago

Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°

jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1, ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3 and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

=540°=180°

=360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0

3 years ago

In a group of 84 kids, three-sevenths bought their lunches. Of those who bought their lunches, 9 got a slice of pizza. What is t

Alisiya [41]

3/7x84=36

Ans: 9/36=1/4

8 0

3 years ago

Einstein Office Equipment has a rental plan for office machines. A fax machine that lists for $722.98 can be rented for 22% of t

Archy [21]

Answer:

$13.68

Step-by-step explanation:

Assuming they rent for 1 year, the cost is broken down as follows:

Annual renting cost = 22% of 722.98 = $\frac{22}{100}*722.98=0.22*722.98=159.06$

Usage charge = 3.2% of 159.06 = $\frac{3.2}{100}*159.06=0.032*159.06=5.09$

Thus,

Total annual charge = Annual renting cost + Usage charge = 159.06 + 5.09 =164.15

Monthly rental charge would be 164.15 divided by 12 (12 months in 1 year):

$\frac{164.15}{12}=13.68$ dollars

6 0

3 years ago

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