What fraction of the pages did you read?

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

10 1/2 = 21/2

(21/2) / 3
= 21/2 x 1/3
= 21/6
= 3 1/2

answer
3 1/2 pages

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5. Find the area of the larger pentagon if the scale factor is 1.5.

My name is Ann [436]

Answer: 48 sq. cm

Step-by-step explanation:

The area of the similar shapes is similar.

We use scalar factor to get the area of the bigger or the smaller figure by using the area of the given figure.

In the given figure , Area of the small pentagon = 32 sq. cm

Scale factor for the bigger pentagon = 1.5

Then , the area of the bigger pentagon would be = (Scale factor) x (Area of the small pentagon)

= 1.5 x (32 sq. cm)

= 48 sq. cm

Hence, the area of the larger pentagon = 48 sq. cm

4 0

3 years ago

A circle has a radius of \sqrt{13}√ 13 square root of, 13, end square root units and is centered at (-9.3,4.1)(−9.3,4.1)le

timofeeve [1]

Answer: The equation of the circle is

$x^2+y^2+18.6x-8.2y+90.3=0.$

Step-by-step explanation: We are given to write the equation of the circle with radius √13 units and center at the point (-9.3, 4.1).

We know that

the standard equation of a circle with radius r units and center at the point (h, k) is given by

$(x-h)^2+(y-k)^2=r^2.$

In the given circle,

radius, r = √13 units and center, (h, k) = (-9.3, 4.1).

Therefore, the equation of the circle will be

$(x-(-9.3))^2+(y-4.1)^2=(\sqrt{13})^2\\\\\Rightarrow (x+9.3)^2+(y-4.1)^2=13\\\\\Rightarrow x^2+18.6y+86.49+y^2-8.2y+16.81=13\\\\\Rightarrow x^2+y^2+18.6x-8.2y+103.3=13\\\\\Rightarrow x^2+y^2+18.6x-8.2y+90.3=0.$

Thus, the equation of the circle is

$x^2+y^2+18.6x-8.2y+90.3=0.$

7 0

3 years ago

A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way

Rufina [12.5K]

In these types of tables, the final box, bottom rightmost, is always the main total. This total will always add up to the same number whether you add the column or the row.

Let find it for this problem.

We can get the grand total from adding the 2 number from the row or the column.

<em>If we add column, we get, $48+118=166$ .</em>