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Setler [38]
3 years ago
6

When I ask my calculator for a decimal value of √2, it displays 1.414213562. What is the meaning of this number? To check whethe

r this square root is correct, what needs to be done? Can the square root of 2 be expressed as a ratio of whole numbers such as 17 ? 12
Mathematics
1 answer:
Shalnov [3]3 years ago
6 0
\sqrt{2} absolutely can not be written in the form \frac{p}{q} , the value you have given is a approximate value of \sqrt{2} .
The problem may want to tell you any irrational number can be approximately represented by a rational number.
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Round to the nearest hundredth 26.9816
VARVARA [1.3K]

\huge{\boxed{26.98}}

The hundredths place is the second place after the decimal point. In this case, it is 8.

We can round it by looking at the next place to the right, which is a 1. 1 is less than 5, so we can just cut off everything after the hundredths place. This leaves an answer of \boxed{26.98}.

4 0
3 years ago
Read 2 more answers
Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras
Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}

Podemos entonces despejar x de la siguiente manera:

h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07

6 0
3 years ago
Marcel made an error when he used the distributive property to solve the problem shown. Which sentence describes the error?
Phoenix [80]
The answer to this is step 2 because they multiplied when they should of subtracted the 10 and the 12.
7 0
3 years ago
Read 2 more answers
Help!!!! please!!!!<br> thank you!!!!!!
pentagon [3]

Answer:

18) 6x^2-7x-5

19) 20x^2+17x-63

20) 18x^2-20x+2

21) 5x^2+42x+16

Step-by-step explanation:

Perimeter=length×breadth

18) (3x-5)(2x+1)

=6x^2+3x-10x-5

=6x^2-7x-5

19) (4x+9)(5x-7)

=20x^2-28x+45x-63

=20x^2+17x-63

20) (18x-2)(x-1)

=18x^2-18x-2x+2

=18x^2-20x+2

21) (5x+2)(x+8)

=5x^2+40x+2x+16

=5x^2+42x+16

6 0
2 years ago
Thomas is making fruit punch for a party. The recipe calls for 5/8 gallon of orange juice to make a full pitcher of punch.
fgiga [73]

Answer:

3 remainder 1

Step-by-step explanation:

We have 2 gallons of orange juice and for each pitcher we need 5/8 of a gallon 1 gallon is = to a whole number so in this case 8/8 but because we have 2 gallons we can put it down at 16/8. 5 goes into 16, 3 times with 1 left over we can mark that as a Reminder

6 0
2 years ago
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