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2 years ago

The diameter of the circle above is 22 cm. What is the circumference of the circle? (Use = 3.14.)

Mathematics

1 answer:

postnew [5]2 years ago

8 0

Answer:

69.08cm

Step-by-step explanation:

The formula for the circumference is

pi times diameter=circumference

Since we are using 3.14 and we know the diameter we can plug that in

3.14 times 22= circumference

69.08=circumference

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Mary wants to hang a mirror in her room. The mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and

Umnica [9.8K]

Answer:

The quadratic equation used to determine the thickness of frame is $\left(3+2x\right)\times \left(2+2x\right)=7$

Step-by-step explanation:

Refer to the attachment for the diagram.

Consider EFGH as the the frame and ABCD as the mirror which is to be hanged.

Let me the "x" be the thickness of the frame as shown in diagram.

Given that, BC = 3 ft and DC = 2 ft which is the dimensions of the mirror.

Now to calculate the length and width of the frame consider following calculation,

Width of frame HG = x + DC + x

Width of frame HG = x + 2 + x

Width of frame HG = 2 + 2x

2x is the addition of the thickness which is present on both side of mirror

Length of frame FG = x + BC + x

Length of frame FG = x + 3 + x

Length of frame FG = 3 + 2x

Since it is an rectangular frame, so using the formula for area of rectangle

$Area\:of\:rectangle = length \times width$

Given that area of frame is $7\:ft^{2}$

Substituting the value,

$7 = \left(3+2x\right)\times \left(2+2x\right)$

Therefore, the quadratic equation used to determine the thickness of frame is $\left(3+2x\right)\times \left(2+2x\right)=7$

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2 years ago

Can some one help me please

11111nata11111 [884]

Answer:

2x²√13

Step-by-step explanation:

Step 1: When there is multiplication under a square root sign (also called a radical sign), you can rewrite the expression as the product of two square roots, like this...

√(52x^4) can be rewritten as (√52)(√x^4)

Step 2: x^4 = x²x², so it's the same thing as saying (x²)², or "x-squared, squared". Taking the square root of it leaves just x-squared, so this simplifies to

(√52)x²

Step 3: When taking the square root of a number that is not a perfect square, you need to do a factor tree to see if you can break the number up into a product of perfect squares, or a perfect square multiplied by a prime number.

52 is an even number, so we an at least divide by 2.

52/2 is 26, so we have

(26)(2)

2 is a prime number, so we don't break that down any further.

26 is even so it is also divisible by 2,

26/2 is 13, so we have

(13)(2)(2)

which we can write as (13)(4) (groups pairs of numbers together)

(2)(2) is 4, which results in a perfect square, so we can rewrite √52 as

(√4)(√13), since √4 = 2, we simplify this expression to

2√13

So √(52x^4) breaks down to (√52)(√x^4), which further breaks down into

(2√13)(x²)

We simplify the expression to 2x²√13

3 0

2 years ago