What is the midpoint

What is the area of a circle with the radius of 16 meters?

Vaselesa [24]

Answer: 804 meters

Step-by-step explanation:

Area of a circle = πr²

Radius = 16m

π(16)² = 804.2477193 meters

8 0

2 years ago

I have a two digit number the sum of the digits is 12 the first digit is 4 Less Than 3 times the second what is my number

nignag [31]

Answer:

84

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12 Combine the left side

4y - 4 = 12 Add 4 to both sides

4y = 16 Divide by 4

4y/4 = 16/4

y = 4

=================

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

3 0

3 years ago

Solve the proportions:

IRINA_888 [86]

<u>Answer:</u>

6. 6.75
7. 27
8. 92/17
9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

9/16 = x/12
=> 16x = 12 x 9
=> 16x = 108
=> x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<u>- Question 7 -</u>

-3 + x/18 = 12/9
=> -3/18 + x/18 = 4/3
=> x/18 = 4/3 + 1/6
=> x/18 = 8/6 + 1/6
=> x/18 = 9/6
=> x = 9/6 x 18
=> x = 27

Hence, <u>the value of x is 27</u>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<u>- Question 9 -</u>

x - 16/x + 6 = 3/5
=> 5(x - 16) = 3(x + 6)
=> 5x - 80 = 3x + 18
=> 2x = 98
=> x = 49

Hence, <u>the value of x is 49.</u>

Hoped this helped.

3 0

3 years ago

Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.

Dominik [7]

Answer:

it can be factorized. this image gives solution

7 0

3 years ago

Please help me with these two math problems that I do not quite understand. This is urgent!

g100num [7]

Answer:

1) $a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

$a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.$

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term $a_{1}=-1$ the common difference $d=-2$ let's find some terms of this Sequence through this Explicit Formula:

$a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $(4,12,20,28, ..)$ In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

$a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

6 0

3 years ago