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3 years ago

The product of two even numbers is always divisible by 4 true or false

Mathematics

1 answer:

never [62]3 years ago

7 0

Answer: TRUE

Step-by-step explanation:

an even number is divisible by 2.

Consider even number j which equals 2a and even number k which equals 2b. Then the product of these two numbers (j and k) = 2a*2b = 4ab.

4ab is divisible by 4.

BONUS:

The product of three even numbers is divisible by 2³

The product of four even numbers is divisible by 2⁴

The product of five even numbers is divisible by 2⁵

do you see the pattern?

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Two other forms of 32,005,008

MaRussiya [10]

3.2005008 x 10^7

Thirty-two million five thousand eight.

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3 years ago

The floor of the entryway to an office building will be triangular. Two angles of the triangle will measure 40º, and the side be

ruslelena [56]

Answer:

The drawing in the attached figure

Step-by-step explanation:

we know that

An isosceles triangle, has two equal sides and two equal interior angles

In this problem, the floor of the entryway to an office building is in the shape of an isosceles triangle

step 1

Find the measure of the vertex angle

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

Let

x ---> the measure of the vertex angle of triangle

$x=180^o-2(40^o)=100^o$

step 2

Find the length of the congruent sides of triangle

Applying the law of sines

Let

c ----> the length of one congruent side

$\frac{a}{Sin(A)}=\frac{b}{Sin(B)}$

we have

$a=8\ m\\A=100^o\\B=40^o$

substitute

$\frac{8}{Sin(100^o)}=\frac{b}{Sin(40^o)}$

solve for b

$b=\frac{8}{Sin(100^o)}(Sin(40^o))$

$b=5.22\ m$

step 2

Make a scale drawing of the entryway

The scale drawing is 1 cm : 2 cm

That means

1 cm in the drawing represent 2 cm in the actual

1 cm in the drawing represent 0.02 m in the actual

Find the dimensions in the drawing

For a=8 m

$8\ m=8/0.02=400\ cm$

For b=5.22 m

$5.22\ m=5.22/0.02=261\ cm$

step 3

Draw the triangle

see the attached figure

3 0

3 years ago

What is the length of segment AB?

AlekseyPX

Answer:

length of segment AB is 13

AB = 13

Step-by-step explanation:

Use the Pythagorean Theorem with c being the length of segment AB.

a^2 + b^2 = c^2

5^2 + 12^2 = c^2

169 = c ^2 (square root both sides to get c by itself)

13 = c

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3 years ago

Choose a linear function for the line representing by the point slope equation y-5=3(x-2)

Dmitry_Shevchenko [17]

Multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1

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4 years ago

Read 2 more answers

4 x 12 = 6 x n 4 6 8 12

raketka [301]

Answer:

Step-by-step explanation:

4 x 12 = 6 x 4 x n

Which gives

48 = 24n

48/ 24 = n

so n = 2

3 0

2 years ago