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3 years ago

A square room has an area of 20 square meters. what is the approximate length of each side?

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

To find the length of one side calculate the square root of 20

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In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m

madam [21]

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

X + Y + Z = 180

So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

4 Y + 100 = 180

4 Y = 80

Y = 80/4 = 20

Then X = 40, Y = 20, and Z = 120

7 0

2 years ago

Help: <img src="https://tex.z-dn.net/?f=1.%5C%20%26x%5E4-61x%5E2%2B900%3D0%20%5C%5C%202.%20%5C%20%26%20x%5E4-25x%5E2%2B144%3

yawa3891 [41]

$\bf{1) \ x^4-61x^2+900=0 }$

Applying the factorization method, for example:

$\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}$

$\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }$

$\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }$

$\bf{2) \ x^4-25x^2+144=0 }$

Applying the factorization method:

$\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }$

$\bf{ =(x-4)(x+4)(x-3)(x+3); }$

$\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }$

7 0

1 year ago

estamos construyendo una carretera que enlace los puntos a = 12 ,21 y b =(17,23) otro punto se encuentra en c =(3,9) es posible

Nadusha1986 [10]

Answer:

is not possible

Step-by-step explanation:

The question in English is

we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope ab

we have

a = (12 ,21) and b =(17,23)

substitute

$m=\frac{23-21}{17-12}$

$m=\frac{2}{5}$

step 2

Find the slope ac

we have

a = (12 ,21) and c =(3,9)

substitute

$m=\frac{9-21}{3-12}$

$m=\frac{-12}{-9}$

simplify

$m=\frac{4}{3}$

step 3

Compare slopes ab and ac

The slopes are different

That means ----> is not possible that a single road allows to join these three points

7 0

3 years ago

50 pts! Factor the expression over the complex numbers. x^2+52

Bas_tet [7]

$x^2+52=\\\\x^2-(-52)=\\\\(x-\sqrt{-52})(x+\sqrt{-52})=\\\\(x-\sqrt{4\cdot13 \cdot(-1)})(x+\sqrt{4\cdot13\cdot(-1)})=\\\\(x-2\sqrt{13}i)(x+2\sqrt{13}i)$

8 0

3 years ago

Read 2 more answers

Find the height of this triangle.

MissTica

x^2 = 4^2 - 2^2

x^2 = 16 - 4

x^2 = 12

x = √12

x = 2√3

8 0

2 years ago