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krok68 [10]
3 years ago
11

The total length of wires A, B, and C is 445 cm. Wire A is 45 cm longer than wire B, and wire B is half as long as wire C. How l

ong is wire A?
Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

<h2>A = 145 cm</h2><h2 />

Step-by-step explanation:

total length = 445 cm (A + B + C)

A = 45 + B

B = C/2

find A

A + B + C = AC

(45 + B) + (C/2) + C = 445

45 + C/2 + C/2 + C = 445

2C = 445 - 45

C = 400/2

C = 200

B = 200/2

B = 100

A = 45 + 100

A = 145

proof:

445 =  145 + 100 + 200

445 = 445 ----OK

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1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.
Ulleksa [173]

Answer:

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4(2 × 2)

9(3 × 3)

16(4 × 4)

25(5 × 5)

36(6 × 6)

2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4

x = [- 20 ± √(400 - 400)]/8

x = [- 20 ± 0]/8

x = - 20/8

x = - 2.5

3 0
3 years ago
Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,
Alja [10]

Answer:

A) The set builder notation is: {n | n∈Z, 1≤n≤7}.

B) The set builder notation is: \{10^x | x=0,1,2,3,4\}

C) The set builder notation is: \{\frac{1}{n} | n\in z\}

D) The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

(a) {1,2,3,4,5,6,7}

Here, the number are integer starting from 1 to 7.

Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.

(b) {1, 10, 100, 1000, 10000}

The above set can be written as:

\{1, 10, 100, 1000, 10000\}=\{10^0, 10^1, 10^2, 10^3, 10^4\}

Thus, the set builder notation is: \{10^x | x=0,1,2,3,4\}

(c) {1, 1/2, 1/3, 1/4, 1/5, ...}

Here the numerator is 1 for each term but denominator is natural number.

Thus, the set builder notation is: \{\frac{1}{n} | n\in z\}

(d) {0}

The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

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3 years ago
Which list of numbers is ordered from least to greatest? Please help it’s 15 points and if you can please explain or show me how
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The answer is b,

if you put them all in decimal form it would look like this:

-6.53, -6.25, 6.57, 6.75

4 0
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Well in order to find how many toy cars were in each package you would need to divide the number of toy cars by the number of packages. So your expression would be p / 6. 
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aliya0001 [1]

Answer:

one thousand two hundred thirty four & 56/100

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