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Hunter-Best [27]
3 years ago
10

What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?

Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
There is 2 ways to solve this type of question.

Method 1
--------------------------------------------------
Formula
--------------------------------------------------
a² + b² = c²

--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

_____________________________________________________________

Method 2
--------------------------------------------------
Identify the triangle
--------------------------------------------------
This is a special triangle
45° - 45° - 90°

--------------------------------------------------
Property of the Angles 
--------------------------------------------------
x - x - x√2

--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2

Hypotenuse =  (7√2)(√2)
Hypotenuse =  7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

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A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased b
Murrr4er [49]

Answer:

Step-by-step explanation:

buenas tardes .....

solucion

Volumen de un cilindro: es igual al área de la tapa por la altura del mismo

A = πD² * h / 4

Lata grande y lata pequeña

Para la lata grande, el diámetro y la altura han aumentado un 20%.

Lata pequeña:

d = 4 cm

h = 3 cm

A 1 = π * (4) ² * 3/4

A1 = 37,70 cm²

Lata grande:

d = 4 * 1,2 = 4,8 cm

h = 3 * 1,2 = 3,6 cm

A2 = π (4,8) ²3,6 / 4

A2 = 65,14 cm²

Si 37,7 representa el 100%

  65,14 representación x

x = 170%

El incremento del volumen es de un 70%

6 0
3 years ago
What is the relationship between the ratios? 5/8 and 8/10 Drag and drop to complete the statement.
Lubov Fominskaja [6]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $ \frac{5}{8} $ and $ \frac{8}{10} $.

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $ \frac{p}{q} $ and $ \frac{x}{y} $.

We say they are proportional if $ p : q = x : y $.

Or, if $ py = qx $ then we can say the fractions are proportional.

Here the fractions are:  $ \frac{5}{8} $ and $ \frac{8}{10} $.

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

6 0
3 years ago
PLEASE HELP ASAP
katen-ka-za [31]
The answer to this question would have to be the letter B
3 0
3 years ago
Use an equation to write 2 x (2/3) as a multiple of a unit fraction.
motikmotik

Simplify the expression.
Exact Form
4/3
Decimal Form:
1.3
Mixed Number Form:
1 1/3
5 0
2 years ago
Which is the smallest number? 2.07,2.7,2.4,2,2.04
Natasha2012 [34]
I believe it is 2 because, 0.4 is added on to 2. 2.7 is basically 2.70 making it 0.70 bigger than 2. I hope this helped
6 0
3 years ago
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