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Scorpion4ik [409]
3 years ago
11

A scale drawing of an office space uses a scale of 1 in : 5 yd. The scale drawing has an area of 12 square inches. What is the a

rea of the actual office space
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

60 Yards.

Step-by-step explanation:

Ooooooooo Proportion question!

We can write an equivalent fraction here:

\frac{1}{5} =\frac{12}{x}

Because 12 wold be equivalent to the 1 inches.

We can multiply by 12 because 1*12 would be 12.

5*12=60.

x=60, which is the answer.

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A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?
Ivan

Answer:

1/12

Step-by-step explanation:

Okay, so this will be a compound probability question because there are two parts to the question.

Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.

Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.

Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.

6 0
3 years ago
Read 2 more answers
Please help! 50 POINTS!!!
expeople1 [14]

Answer:

f(x) = 2/3 x +3

Step-by-step explanation:

We know the y intercept ( where it crosses the y axis)  is 3


We can calculate the slope from 2 points (-3,1) and (0,3)

Slope = (y2-y1)/(x2-x1)

         = (3-1)/(0--3)

          = (3-1)/(0+3)

          = (2/3)

The slope is 2/3


Since we know the slope and the y intercept, we can use the slope intercept form

y= mx+b

y = 2/3 x+3

f(x) = 2/3 x +3

5 0
3 years ago
Read 2 more answers
Cot^2x/cscx-1=1+sinx/sinx
KATRIN_1 [288]
\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\
-------------------------------\\\\
\cfrac{cot^2(x)}{csc(x)-1}=\cfrac{1+sin(x)}{sin(x)}\impliedby \textit{let's do the left-hand-side}

\bf \cfrac{\quad \frac{cos^2(x)}{sin^2(x)}\quad }{\frac{1}{sin(x)}-1}\implies \cfrac{\quad \frac{cos^2(x)}{sin^2(x)}\quad }{\frac{1-sin(x)}{sin(x)}}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{sin(x)}{1-sin(x)}
\\\\\\
\cfrac{cos^2(x)}{sin(x)}\cdot \cfrac{1}{1-sin(x)}\implies \cfrac{cos^2(x)}{sin(x)[1-sin(x)]}

\bf \cfrac{1-sin^2(x)}{sin(x)[1-sin(x)]}\implies \cfrac{1^2-sin^2(x)}{sin(x)[1-sin(x)]}
\\\\\\
\cfrac{\underline{[1-sin(x)]}~[1+sin(x)]}{sin(x)\underline{[1-sin(x)]}}\implies \cfrac{1+sin(x)}{sin(x)}
5 0
3 years ago
I need help please ASAP
grin007 [14]
I’m pretty sure it is the first one
6 0
3 years ago
Joe has eaten 3/5 of pizza. Jane has eaten 1/7 of pizza. how many times more pizza has Joe eaten than Jane
Lana71 [14]

The answer would be 14/5.

First of all, get the denominators to be the same. The LCM is  5 × 7 = 3/5

So  1 /7 × 5/ 5 = 5 /3/5

And  2/ 5 × 7 /7 = 14 /35

Now we have  5 /35  and  14 /35

Then all you have to do is divide Joe's by Jane's to get the answer.

14 /35 ÷ 5 35 =14 /35 × 35/ 5 = 14 /5

Meaning the answer is 14/5.

Hope I could help! :)


4 0
3 years ago
Read 2 more answers
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