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Oliga [24]
3 years ago
8

Which measurement is the best estimate for the length of a clothespin?

Mathematics
1 answer:
saul85 [17]3 years ago
3 0
In my opinion i think it’d be 9 cm
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A) Write each expression in expanded form. B) Then calculate the value of the
Tatiana [17]

A) (3)² = 3 × 3 and 10(8)² = 10 × 8 × 8

B) (3)² = 9 and 10(8)² = 640

For any number x, the square of the number denoted by (x)² is equal to 2 times x multiplied by itself or x*x.

Here, we are given two expressions- (3)² and 10(8)²

we need to write both of them in expanded form and then write their values.

Expanded form of (3)² is 3 × 3

The value of the expression (3)² will be-

(3)² = 3 × 3 = 9

Similarly, expanded form of 10(8)² is 10 × 8 × 8

The value of the expression 10(8)² will be-

10(8)² = 10 × 8 × 8 = 640

Learn more about expanded form here-

https://brainly.in/question/19612773

#SPJ9

8 0
2 years ago
What is the solution to the equation? X/3 = 2x -1
pav-90 [236]

Answer:

x = 3/5

Step-by-step explanation:

multiply the equation by 3 --> (x/3 = 2x-1) x 3

x = 6x - 3

-5x = -3

x = 3/5

3 0
3 years ago
$425 is invested into an account that earns 6% compounded monthly. Find how much the account is worth in 15 years.
Masja [62]

Answer:

Future Balance

$1,044

Step-by-step explanation:

Compound interest is simple- It’s the interest you earn on both your original deposit and on the interest that your money earns. Compound interest allows your savings to grow faster over time.  In an account that pays interest, the earnings are typically added to the original principal at the end of every compounding period. That's often daily or monthly. Each time interest is calculated and added to the account, the larger balance results in more interest earned than before. This is what’s meant by compound interest. Note that high-interest savings accounts earn money faster than accounts with lower yields.

6 0
3 years ago
Find the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2). Can you find another answer?
Margarita [4]

It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of  fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal=\sqrt{(4-0)^2+(2-0)^2}=\sqrt20=2\sqrt5

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10  -------------(1)

(a-4)²+ (b-2)²=10  --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3  ∧  a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).





3 0
3 years ago
List the following expressions in order from least to greatest. (explain how you calculated the
irga5000 [103]

Step-by-step explanation:

Since d is an decimal, the higher the power of d, the smaller the value.

8 0
3 years ago
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