What are some characteristics for simplest form

yuradex [85]

Answers:

Perimeter = 58.5 centimeters

Area = 163.15 square centimeters

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Explanations:

To get the perimeter, you add up the three exterior (aka outer) sides. So you add up everything but the length measuring 13 cm, as this segment is not on the outside of the triangle. Imagine this is a parking lot and you want to put fencing around the outer sides. You won't build any fencing to run through the middle of the lot (assuming you don't want to subdivide)

So we add up 15.4, 18 and 25.1 to get 15.4+18+25.1 = 58.5 centimeters. The units stay at centimeters. We don't go to "square centimeters" like we do with the area below.

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To get the area of the largest triangle, we multiply the base and height, then divide by 2. The base is always perpendicular to the height

base = 25.1

height = 13

area = base*height/2 = 25.1*13/2 = 163.15 square cm

You write "square" before the "cm" to indicate the proper units for the area. Think of a 1 cm by 1 cm rectangle which has area of 1*1 = 1 square cm. This idea applies to triangles as well because we can subdivide the triangle into smaller squares, or you can move one piece of a triangle to another side to reshape the figure into a rectangle.

4 0

4 years ago

The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of birt

neonofarm [45]

Answer:

The answer is B

Step-by-step explanation:

8 0

3 years ago

Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?

faust18 [17]

Use this property of logarithms:

$\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y$

Your equation transforms into:

$log_4\left(\dfrac{x^2+3x}{x+5}\right)=1$

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

$\dfrac{x^2+3x}{x+5} = 4^1$

In case you don't remember, this is the definition of a logarithm:

$\log_b x = y \iff b^y = x$

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

$\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)$
$\iff x^2-x-20=0$
$\iff x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot(-20)}}{2}= \left \{ {{5} \atop {-4}} \right.$

The correct answer is d.

5 0

3 years ago

PLEASE HELP !

adell [148]

First what you wanna do is get y by it’s self. To do that is to first add 5 on each side.

-5+3y=-4
+5 +5

3y= 1

Than you divide 3 on each side and it would give you y=1/3 if it’s a fractions problem but if you looking for decimals you would have to divide 1 by 3 which gets you .33333333.

7 0

3 years ago

What is 50,000 times 10 to the 15th

Misha Larkins [42]

Remember property of exponents
$(x^m)(x^n)=x^{m+n}$
add exponents of same base

ok so

50,000 is 5 times 10^4

so

50000 times 10^15=
5 times 10^4 times 10^15=
5 times $10^{4+15}$ =
5 times 10^19

8 0

3 years ago