6) A design for a library has a scale of
1/3inch = 1 foot. The height of the library
in the drawing is 12 inches. What is the
actual height of the library?

Answer:

22+x<=55

D

Step-by-step explanation:

Answer:

B) x = 2√2, y = 2

Step-by-step explanation:

The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45.  This means that the two sides on the right angle are the same length, so y = 2.

With that then, you can use the Pythagorean theorem to solve for x:

[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]

So the correct answer is b.  x is equal to two root two, and y is equal to two.

Answer:

Step-by-step explanation:

so many isosceles triangles

y = 4 .. just by inspection.. we can see

SOH CAH TOA    <= ask me about this if you don't get it

Cos(x) = Adj / Hyp

we don't know the Hyp this time so solve for that

Hyp = Adj / Cos(x)

Hyp = 4 / Cos(45)

Hyp = 4 / [tex]\sqrt{2}/2[/tex]

maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply

Hyp = 4 * 2/[tex]\sqrt{2}[/tex]

Hyp = 8/ [tex]\sqrt{2}[/tex]

also we are supposed to write as a decimal rounded to the nearest 10th

Hyp = 5.66

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse)  we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26

Answer:

The result would be 0 (zero)

Step-by-step explanation:

Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.

What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.

Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.

And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H

Hopefully this is what you were looking for!

Answer:

3 carrots, 4 crackers, and 6 grapes.

Step-by-step explanation:

The greatest common factor of 9, 12, and 18 is 3, so we know that we can make at most 3 identical lunchboxes. Now we have to divide each number by 3 to figure out how much of each item is in each lunchbox. 9/3=3, 12/3=4, and 18/3=6 so there will be 3 carrots, 4 crackers, and 6 grapes in each lunchbox.

Answer:

tooth A

Step-by-step explanation:

0.23 = 0.230

0.230 > 0.195

Answer:

a

Step-by-step explanation:

Answer:

4684.5

Step-by-step explanation:

6000 * (1 - 6%)4 = 4684.5 (1.d.p)

Answer:

x=3 i think

Step-by-step explanation:

Answer:

Y-intercept

Step-by-step explanation:

Because they both meet

Step-by-step explanation:

this chart is a life saver!

Answer:

(x × y) - 6 < 30

xy - 6 < 30

xy < 30 + 6

xy < 36

Step-by-step explanation:

Let us represent:

First number = x

Second number = y

The product of two numbers decreased by six is less than 30.

The algebraic expression is given as

(x × y) - 6 < 30

xy - 6 < 30

xy < 30 + 6

xy < 36

Answer:

B(2.75,2.5)

Step-by-step explanation:

B(x,y)

Bx= Ax+Cx 1 + 4.5 5.5

---------- = -------------- = --------- = 2.75

2 2 2

By = Ay+Cy 1 + 4 5

---------- = ----------- = ---------- = 2.5

2 2 2

coordinates of point B(2.75,2.5)

Put the whole question

Answer:

0

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

Answer: 8x+10y

Step-by-step explanation:

2(4x)= 8x

2(5y)= 10y

8x+10y

Answer:

y = 1/5x - 5

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope

to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5

b is your y-intercept, aka where the line comes in contact with the y-axis

by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5

therefore your answer is: y = 1/5x - 5

hope this helped!

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

Answer:

k

Step-by-step explanation:

Answer:

27x +20 (27 per hour plus the 20, x is how many hours)

27(5) +20

135 +20

$155

Step-by-step explanation:

i hope this helped :)

Answer:

1/11>x

Step-by-step explanation:

4−23x>2−x

 +23x to both sides

4>2+22x

 -2 from both sides

2>22x

  Divide by 22

1/11>x

Answer:

The value of the maximum wage is £87.2

Step-by-step explanation:

Here, we want to get the maximum wage given the ratio it has with the minimum wage

To get the value of the maximum wage, we proceed to multiply the value of the minimum wage by 10

Mathematically, that would be;

8.72 * 10 = £87.2

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

Answer:

7

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Find the unit rates, meaning how many green umbrellas per pink umbrella? So we have 2 ratios:

1. 3:21

2. 6:36

For the first ratio, divide both sides by 3 to find how many green umbrellas per pink umbrella. 1:7

Do the same for the second one, 1:6. So they are different.

Answer:

r horses and I am a little girl but I've never seen her