PLEASE HELP WITH MY MATH. SCIENTIFIC NOTATION PROBLEM.

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 1

Answer:

Step-by-step explanation:

a) 8.23 x 10^5 move the decimal over 5 places, 319000000 is 319 million move the decimal over until there is one number on the left side --> 3.19 x 10^8

b) 3.19 x 10^8 / 8.23 x 10^5 = 387.61 roughly 388 times larger

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What is the length of the apothem of a regular hexagon with 10-cm sides?

vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

$apothem = \frac{s}{2\ tan\ (\frac{180}{n})}$

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

$s = 10cm\\n = 6$

Putting the values in the formula

$apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm$

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0

3 years ago

When the stranger came into the forest, 37 percent of the people ran to hide. If 2520 refused to hide, how many people lived in

STALIN [3.7K]

Is 37% Ran to hide then 63% refuse to hide

63/2520= 37/X
63x= 93240
Divide by 63
X= 1480 Ran to hide
2520+1480=4,000 total --------------
4,000 people lived in the forest

7 0

3 years ago

Which is the best first step to write this in standard form?

goldenfox [79]

Answer:

Set the function equal to 0

Step-by-step explanation:

Standard Form of the Quadratic Equation

The form

$ax^2+bx+c=0$

is called the standard form of a quadratic equation. It can be clearly identified the terms of a second-degree polynomial equated to 0.

The equation is given in the form:

$2(x-4)^2-3=8$

And we need to operate the expression to make it look like a standard form. The first logical step should be to set the function equal to 0 and then start to operate the resulting expression. It can be done by subtracting 8 on both sides of the equation:

$2(x-4)^2-3-8=0$