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3 years ago

a circle has a diameter of 10cm what is the best proximation of this area use 3.14 to approximate for pi

2 answers:

5 0

The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula A=πr^2, where r is equal to the radius of the circle.

On this exercise is given that a circle has a diameter of 10cm and it is asked to find its area, as previous said the only way to find the area of a circle is to use the formula A=πr^2, but on this case the radius is not given. As result you have to divide the measurement of the diameter by two, and the number found represents the radius.

10cm/2= 5cm The radius of the circle is 5cm.

Now that the radius is known you can substitute the values in the formula to find the area of the circle.

A=πr^2
A=(3.14)(5)^2
A=(3.14)(25)
A=78.5 cm^2

The area of the circle is 78.5 square centimeters.

hammer [34]3 years ago

4 0

Hello!

The answer would be $75.8^{cm2}$

Hope this helped!

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(3-4i)(6i+7)-(2-3i)

Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

$\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}$

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

$\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}$

Now combine like terms.

$\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}$

Imaginary Unit

$\displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 }$

Therefore:-

$\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}$

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

$\displaystyle \large{- 10i+ 45 - (2 - 3i)} \\ \displaystyle \large{- 10i+ 45 - 2 + 3i}$

Combine like terms.

$\displaystyle \large{43 - 7i}$

5 0

3 years ago

Length of x A.6 B.10 C.6.2 D.8

Bad White [126]

X/7 = 6/4.2

4.2x = 42

x= 10

5 0

3 years ago

I need help with my home work

Andrew [12]

Answer:

I would say 3

Step-by-step explanation:

ABC is a scaled down triangle of AED

Have an amazing day!

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5 0

2 years ago

A triangle has one side that is 6 units long and another side that is 3 units long.

kiruha [24]

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

<h3>How to determine the possible length of the third side?</h3>

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

brainly.com/question/2403556

5 0

2 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Zolol [24]

Answer:

Step-by-step explanation:

Triangle DEF is a right angle triangle.

From the given right angle triangle,

DE represents the hypotenuse of the right angle triangle.

With ∠E as the reference angle,

EF represents the adjacent side of the right angle triangle.

DF represents the opposite side of the right angle triangle.

To determine EF, we would apply

trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 49 = EF/8

EF = 8Cos49 = 8 × 0.6561

EF = 5.2488

Rounding to the nearest tenth, it becomes 5.2

3 0

3 years ago