All categories

3 years ago

☺WILL MARK BRAINLIEST IF YOU GIVE THE RIGHT ANSWER☺

1 answer:

4 0

Simple.
Plug in what you known into the equation.
150 = 6e^2.
Divide 150 by 6 to isolate the variable.
150/6 = e^2
25 = e^2
take the square root of 25
5 = e

Hope this helps!

You might be interested in

What is the rate of change of function g?

Natasha2012 [34]

Answer:

The rate of change of function g is: 3/2

Step-by-step explanation:

Given the table of function g

x y

2 4

4 7

6 10

8 13

We know that rate of change is also termed as the slope of the function.

Thus,

let us take any two points, let say

(2, 4) and (4, 7)

Determining the slope between (2, 4) and (4, 7)

(x₁, y₁) = (2, 4)

(x₂, y₂) = (4, 7)

Using the formula

Rate of change or Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [7 - 4] / [4 - 2]

= 3 / 2

Thus, the rate of change of function g is: 3/2

5 0

2 years ago

5.62 as a mixed number in simplest form

Andrej [43]

5.62 would be 5 62/100 then you can simplify the fraction down
62/100 - 31/50
5 31/50
Hope I helped :)

6 0

3 years ago

Read 2 more answers

Which expression uses the associative property to make it easier to evaluate 14(3/2 x 1/4)

Sav [38]

Answer:

Not sure but the answer to 14(3/2 x 1/4) is 5.25

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Which of the following values could the number 500,000 be composed of?

OverLord2011 [107]

50000 tens

5000hundreds

How?

1ten=10

50000 tens:-

$\\ \sf\longmapsto 50000(10)=500000$

1hundred=100

5000hundreds

$\\ \sf\longmapsto 5000(100)=500000$

8 0

3 years ago

Read 2 more answers

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago