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3 years ago

What are some good hair dyes? that won’t damage my hair (comment too)

Mathematics

1 answer:

Mashutka [201]3 years ago

7 0

Artic fox is pretty good!! It also smells really good :) I definitely recommend it

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The sum of the diagonals of a rhombus is 5√2.

Alex

Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
$= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC$
$= \frac{1}{2} BD (AO + OC)$
$\frac{1}{2} BD \times AC$

$So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}$
$BD \times AC = 8$
$Now, AC + \: BD = 5 \sqrt{2}$

Squaring both sides, we get
$AC {}^{2} + BD {}^{2} + 2 AC.BD =50$
$AC {}^{2} + BD {}^{2} + 2 \times 8 = 50$
$AC {}^{2} + BD {}^{2} = 50 - 16$
$AC {}^{2} + BD {}^{2} = 34$

In △AOB, we have
$OA {}^{2} + OB {}^{2} =AB {}^{2}$
$( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}$
$\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}$
$AC {}^{2} + BD {}^{2} = 4 AB {}^{2}$
$34 = 4 AB {}^{2}$

Square rooting both sides
$\sqrt{34} = 2 AB$
$Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units$ .

Hope it helps!

7 0

3 years ago

The equation of line r is y = 3x − 7 Line s includes the point(6, -9)and is perpendicular to line What is the equation to find s

tiny-mole [99]

Answer:

y=-.3x-7

Step-by-step explanation:

So, if you want to find a line perpendicular to another line, you have to put a decimal in front, or make it a reciprocal. In this case, I put a decimal in front to make it both perpendicular, and cross through (6, -9). Nice.

Edit: Spelling

4 0

4 years ago

Find the equation of the linear function represented by the table below

Mariana [72]

Answer:

X-3=Y

Step-by-step explanation:

-3-3=-6

1-3=-2

5-3=2

9-3=6

4 0

3 years ago

Look at pic 10 points

koban [17]

Answer:

120

Step-by-step explanation: 10 x 12 = 120 m. Hope this helps

7 0

3 years ago

The graph of which function has a y-intercept of 3 ?

Dmitriy789 [7]

It will be whichever equation you see that has the "c" = +3, in the format:
F(x) = y = ax^2 + bx + c, where a, b, and c are all integers, such that plugging a "0" into the x's will give:
y = a•0^2 + b•0 + 3 = 0 + 0 + 3 = 3

6 0

4 years ago