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3 years ago

The sum of 3 consecutive even numbers is equal to 24. Find the numbers.

Mathematics

1 answer:

Alinara [238K]3 years ago

4 0

The best method i found is guess-and-check. Just guess the three numbers. If you do this you should get 6+8+10.

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What is the distance to the earth’s horizon from point P? Express your answer as a decimal

rewona [7]

Answer:

The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi

Step-by-step explanation:

This is a right triangle:

Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi

Leg 1: a=x=?

Leg 2: b=3959 mi

Using the Pytagorean theorem:

a^2+b^2=c^2

Replacing the known values:

(x)^2+(3959 mi)^2=(3964.9 mi)^2

Solving for x: Squaring:

x^2+15,673,681 mi^2=15,720,432.01 mi^2

Subtracting 15,673,681 mi^2 both sides of the equation:

x^2+15,673,681 mi^2-15,673,681 mi^2=15,720,432.01 mi^2-15,673,681 mi^2

x^2=46,751.01 mi^2

Square root both sides of the equation:

sqrt(x^2)=sqrt(46,751.01 mi^2)

x=216.2198187 mi

x=216.22 mi

3 0

3 years ago

What does P (A U B’) mean?

Savatey [412]

Answer:

It means or stands for the probably that either A or B occurs or both.

Step-by-step explanation:

It really isn't steps to it you just have to learn it.

8 0

4 years ago

Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by gra

MArishka [77]

1. Is Dependent.
2. Is Inconsistent

4 0

3 years ago

A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we

IRINA_888 [86]

Answer:

$52$ roses and $117$ sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is $4:9$ , we can represent how many there are of each as $4x$ and $9x$ , respectively. We know that there are $65$ more sunflowers than roses, so we can set up the following equation to solve for $x$ :

$4x+65=9x$

Solving for $x$ , we get:

$4x+65=9x$

$4x+65-4x=9x-4x$ (Subtract $4x$ from both sides of the equation to isolate $x$ )

$65=5x$ (Simplify)

$5x=65$ (Symmetric Property of Equality)

$\frac{5x}{5}=\frac{65}{5}$ (Divide both sides of the equation by $5$ to get rid of $x$ 's coefficient)

$x=13$ (Simplify)

Therefore, since $x=13$ , we know that there are $4x=4*13=52$ roses and $9x=9*13=117$ sunflowers. Hope this helps!

4 0

3 years ago

Keith_Richards [23]

We know that

[volume of a pyramid]=[area of the base]*h/3

a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

12/20----------> 3/5
the answer Part a) is 3/5

(b) The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid

[The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid]--------> (3/5)²------> 9/25------> 0.36

[volume of a larger pyramid]=8192 cm³
h=20 cm
so
[8192]=[area of the base larger pyramid]*20/3
[area of the base larger pyramid]=8192*3/20------> 1228.80 cm²

[area of the base smaller pyramid]=(3/5)²*1228.80-----> 442.37 cm²

The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid-----------> 442.37/1228.8--------> 0.36
0.36--------> is equal to (3/5)²

the answer part b) is 0.36

(c) Ratio of the volume of the smaller pyramid to the larger

[Ratio of the volume of the smaller pyramid to the larger]=(3/5)³---> 27/125
27/125------> 0.216

the answer Part c) is 0.216

(d) The volume of the smaller pyramid

[The volume of the smaller pyramid]=0.216*8192------> 1769.47 cm³

the answer part c) is 1769.47 cm³

8 0

3 years ago

The sum of 3 consecutive even numbers is equal to 24. Find the numbers. ​

The sum of 3 consecutive even numbers is equal to 24. Find the numbers.