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3 years ago

9

5/2 as a mixed numer

2 answers:

Lady_Fox [76]3 years ago

5 0

5/2=2.5 So you can write this as a fraction. 2 5/10 and then simplify 2 1/2. I hope this helps. :) Brainliest answer please. :)

emmainna [20.7K]3 years ago

3 0

Mixed number means a whole number plus a fraction. In this case the answer is 2 1/2.

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Evaluate sin^2 (pi/4) + cos^2(pi/4) + cos.

mart [117]

The answer of $sin^2 (pi/4) + cos^2 (pi/4)$ is √ 2

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

The value of $sin^2 (pi/4)$ = √2/ 2

The value of $cos^2 (pi/4)$ = √2/ 2

= √2/ 2 + √2/ 2

= √2 + √2 / 2

= 2 √2 / 2

Dividing √2 by 1

= √2

3 0

3 years ago

A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer

Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

$L_A \to$ length of play area A

$W_A \to$ width of play area A

$L_B \to$ length of play area B

$W_B \to$ width of play area B

$x \to$ Area of A

$y \to$ Area of B

From the question, we have the following:

$L_A = 1 + 4W_A$

$W_B = 2 + W_A$

$L_B = 2 + 3W_B$

$x = y$

The area of A is:

$x = L_A * W_A$

This gives:

$x = (1 + 4W_A) * W_A$

Open bracket

$x = W_A + 4W_A^2$

The area of B is:

$y = L_B * W_B$

$y = (2 + 3W_B) * ( 2 + W_A)$

Substitute: $W_B = 2 + W_A$

$y = (2 + 3(2 + W_A)) * ( 2 + W_A)$

Open brackets

$y = (2 + 6 + 3W_A) * ( 2 + W_A)$

$y = (8 + 3W_A) * ( 2 + W_A)$

Expand

$y = 16 + 8W_A + 6W_A + 3W_A^2$

$y = 16 + 14W_A + 3W_A^2$

We have that:

$x = y$

This gives:

$W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2$

Collect like terms

$4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0$

$W_A^2 -13W_A - 16 =0$

Using quadratic calculator, we have:

$W_A = -14.1$ or $W = 1.13$ --- approximated

But the width can not be negative; So:

$W = 1.19$

7 0

3 years ago

How do I figure this one out?

Inessa [10]

9k2-12k+4

(k2-6k)+(-6k+4) factor out the 3k from 9k2 0 6k: 3k(k-2) factor out -2 from -6k +4n: -2 (3k-2) factor out common term (3k-2) = (3k-2 ) (3k-2) that equals (3k-2)2

5 0

3 years ago

Use the Binomial Theorem to find the indicated coefficient or term.

Dmitriy789 [7]

Answer:

ans: coefficient of 3rd term is 60

3rd term is 60x

Step-by-step explanation:

(5x +2)³ = C(3,2) × (5x)^(3-2) × 2²

= 3 × 5 × 4 × x

= 60x

8 0

3 years ago

What is the remainder of 7964 divided by 8

pishuonlain [190]

Exact Form: 1991/2

Decimal Form: 995.5

Mixed Number Form: 995 1/2

6 0

4 years ago