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3 years ago

What is the perimeter of a square whose diagonal is 3 radical 2

1 answer:

6 0

Use trigonometry to get the side of the square. The diagonal of a square creates two right triangles. These right triangles are consistent - meaning their angles have 90, 45 and 45 degrees.
Getting the length of the side can either be used a cosine or sine function, that is
cos 45 = (3 radical 2)/x
x = (3 radical 2)/cos 45
x = 6

The perimeter of the square is 4*sides. Therefore,
P = 4*6 = 24 cm

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Show work for repeated subtraction to divide 35÷4

Sonja [21]

35/4

You'd start by dividing 4 into 3. Since three is smaller it will not work. So you then divide it into 35. 35/4=8.75

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3 years ago

Travis needs to mail 4 letters and 10 postcards. A letter needs a 37-cent stamp and a postcard needs a 25-cent stamp. How much m

kifflom [539]

Answer:

398-cent stamp for postage.

Step-by-step explanation:

For one letter, Travis needs 37-cent stamp

For four letters, Travis needs 37-cent stamp x 4 letters

= 148-cent

Again,

For one postcard, he needs 25-cent stamp

For ten postcards, he needs 25-cent stamp x 10 postcards

= 250-cent

Therefore, he will spend = (148-cent + 250-cent) = 398-cent stamp for postage.

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3 years ago

Use elimination to solve the following system of equations: 17x - 2y = 25,17x + 3y = 5

77julia77 [94]

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

(1,-4)

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3 years ago

Solve for x and show work.

SVEN [57.7K]

Answer:

x = 2

Step-by-step explanation:

The four sides of a rhombus are equal. Thus, 10x + 6 = 4x + 18.

Solve this equation for x:

6x = 12

So, finally, x = 2

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3 years ago

Between 1965 and 1980, the world population grew at an annual rate of 2%. Using the rule of 72, population is expected to double

Fiesta28 [93]

Answer:

The population is expected to double in 36 years

Step-by-step explanation:

According to the the rule of 72,

A value is doubled if the product of the annual rate and number of years is 72,

Given,

The annual rate of interest = 2%

Let x be the time in years after 1965,

By the above statement,

The population will double if,

x × 2 = 72 ⇒ x = 36

Hence, the after 36 years since 1965 the population will be doubled,

i.e in 2001. ( ∵ 36 years after 1965 )

4 0

4 years ago