An elephant has a mass of 6.8 × 10 3 kg.

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

Step-by-step explanation:

From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:

$m \angle ABC = m\angle ABD + m\angle DBC$ (1)

If we know that $m\angle ABC = 40^{\circ}$ , $m\angle ABD = 2\cdot x + 3$ and $m\angle DBC = 4\cdot x + 7$ , then the value of $x$ is:

$(2\cdot x + 3)+(4\cdot x + 7) = 40^{\circ}$

$6\cdot x +10^{\circ} = 40^{\circ}$

$6\cdot x = 30^{\circ}$

$x = 5$

Then, we check the angles of each section:

Section 1

$m\angle ABD = 2\cdot x + 3$

$m\angle ABD = 13^{\circ}$

Section 2

$m\angle DBC = 4\cdot x + 7$

$m\angle DBC = 27^{\circ}$

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

6 0

3 years ago

Find the area of a circle with a circumference of 53.42 inches

Sidana [21]

Answer:

226.9 in²

Step-by-step explanation:

The formula for circumference of a circle is:

C = 2πr, where π = 3.14 and r = the radius

The formula for area of a circle is

A = πr²

First, using the formula for circumference, you can solve for 'r':

53.42 = 2πr or 53.42 = 6.28r (divide) r = 8.5

Now, use the value of 'r' to solve for area:

A = π8.5² or 3.14(8.5)² = 226.9 in²

3 0

3 years ago