The perimeter of a rectangular room is 32m.The length of a diagonal is 8m more than than the width.Find the dimensions of the room.

Answers

Answer 1

Answer:

Answer: 12m by 4m.

Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.

Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.

w = x

l = x + 8

Use the equation for the perimeter.

P = 2l + 2w

Plug in your values:

32 = 2(x + 8) + 2(x)

Now, solve for x! First start by distributing the 2:

32 = 2x + 16 + 2x

Next, add like terms:

32 = 4x + 16

Subtract 16 from both sides:

16 = 4x

Divide by 4 on both sides:

4 = x

Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.

l = x + 8

Plug in your x and solve:

l = 4 + 8

l = 12

Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.

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Simplify 16/3(6/8b+9/2).

Write in simplest form.

Answers

3/8 = 0.37500
hope its right...!!!!!

16/3(6/8b+9/2) Final result : 4 • (b + 6)

Step by step solution :Step 1 : 9 Simplify — 2 Equation at the end of step 1 : 16 6 9 —— • ((— • b) + —) 3 8 2Step 2 : 3 Simplify — 4 Equation at the end of step 2 : 16 3 9 —— • ((— • b) + —) 3 4 2 Step 3 :Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       4

      The right denominator is :       2

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 2212 Product of all
Prime Factors 424

Least Common Multiple:
4

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. 3b —————————————————— = —— L.C.M 4 R. Mult. • R. Num. 9 • 2 —————————————————— = ————— L.C.M 4 Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3b + 9 • 2 3b + 18 —————————— = ——————— 4 4 Equation at the end of step 3 : 16 (3b + 18) —— • ————————— 3 4 Step 4 : 16 Simplify —— 3 Equation at the end of step 4 : 16 (3b + 18) —— • ————————— 3 4 Step 5 :Step 6 :Pulling out like terms :

6.1 Pull out like factors :

3b + 18 = 3 • (b + 6)

Final result : 4 • (b + 6)

COMPLETE THE EXERCISE BELOW TO DECOMPOSE 930

Answers

I saw the complete problem:

complete the exercise below to decompose 930

930 = _____ tens = ____ x ____

My answer is:

930 = ninety-three tens or 93 tens = 93 x 10

1+3+5......+99 Si rezolvarea va rog fiindca nu inteleg !!

Answers

I hope this helps you

Find the answer to (6!) in math

Answers

$\boxed{n!=1\cdot2\cdot3\cdot4\cdot...\cdot n}\n\n6!=1\cdot2\cdot3\cdot4\cdot5\cdot6=\boxed{720}$

1*2*3*4*5*6=720.
Hope I helped

Find the zeros of the function h(x)=x^2-5x-50 by factoring

Answers

$h(x)=x^2-5x-50=x^2-5x-25-25=x^2-25-5x-25\n\n=(x^2-25)-(5x+25)=(x^2-5^2)-5(x+5)\n\n=(x-5)\underline{(x+5)}-5\underline{(x+5)}=(x+5)(x-5-5)=(x+5)(x-10)\n\nAnswer:Zeros\ are\ x=-5\ and\ x=10.$

It takes Tom 1 hour to lay 30 bricks. He has to lay 180 bricks.
Tom starts to lay the bricks at 9 a.m
He has half an hour break at 11 a.m
He has another half an hour break at 1 p.m

What time should Tom finish laying the 180 bricks?

Answers

he should finish laying the bricks at 3:00pm

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