If you place a 37-foot ladder against the top of a building and the bottom of the ladder
is 22 feet from the bottom of the building, how tall is the building? Round to the
nearest tenth of a foot.

Answer:

11......................

Volume = (1/3) . π . r² . h

475.17 = (1/3) . π . r² . 15

475.17 = 5πr²

r² = 475.17/5π

r² = 30.25

r = √30.25 = 5.5

Diameter = 2r = 2 × 5.5 = 11 yd

Answer:

33333333333333333333333333333333333333333

Step-by-step explanation:3333333333333333333333333333333333333333

Answer:

18 cents per ounce

Step-by-step explanation:

Take the total cost and divide by the number of ounces

2.88 /16 =.18

18 cents per ounce

Answer:

.18

Step-by-step explanation:

2.88/16=.18

=======================================================

Explanation:

Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}

Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.

The median is 7.

---------------

If you wanted, you could cross off the first and last items of the set

That means we go from {1,4,6,8,8,9} to {4,6,8,8}

Then repeat to get the smaller set {6,8}

This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).

Answer:

In each case, translate the words into numbers and operations.

1. 2x - 10

2. 3/4 x

3. 7x

4. 16/x

5. 10n - 12

6. 50n

7. n - 4

8. n/8

9. 2/3 x

10. 5n - 10

Answer:

option C

Step-by-step explanation:

[tex]5 = \frac{4}{3}(6y + 9)\\\\5 = \frac{4\times6y}{3} +\frac{4 \times 9}{3}\\\\5= 8y + 12[/tex]

Answer:

41

Step-by-step explanation:

This is the formula

a^2 + b^2 = c^2

35^2 + 21^2 = 1666

√1666 = 40.81...

Maybe you can estimate it to 41.

answer:

a = 28 millimeters

step-by-step explanation:

a^2 + 21^2 = 35^2

a^2 + 441 = 1225

a^2 = 784

a = 28 millimeters

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

Answer:

y=2

Step-by-step explanation:

-2y+1=y-5

Add 2y to each side

-2y+2y+1=y+2y-5

1 = 3y -5

Add 5 to each side

1+5 = 3y-5+5

6 = 3y

Divide each side by 3

6/3 = 3y/3

2 =y

Answer:

y=2

Step-by-step explanation:

Move y to the other side by subtracting by y on both sides:

-y-2y+1=y-y-5

-3y+1=-5

Move the 1 to the other side by subtracting by 1 on both sides:

-3y+1-1=-5-1

-3y=-6

Divide -3 on both sides to eliminate the -3 on y

-3y/-3=-6/-3

y=2

Answer:

28 square inches

Step-by-step explanation:

Area = b * h

To find the height, you first have to solve the triangle.

[tex]a^{2} +b^{2} =c^{2} \\\\3^{2} +h^{2} =5^{2} \\h^{2} =5^{2} -3^{2} \\h=4[/tex]

Now use that for your area

Area = 7 * 4

Answer:

About 64 Miles

Step-by-step explanation:

I think you just divide the miles by minutes which is about 1.06 then x 60 = 64

Answer:

i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement

Answer:

100/20=5. this is the answer of ur questions

Answer:

- 4 1/3 < - 1 3/4

Step-by-step explanation:

The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4

y = 248 - 2x

good luck :))))

Answer:

2.25 feet deep

Step-by-step explanation:

The volume was given as (11.13 cubic feet)

Length as (2.6 feet)

Width as(1.9 feet)

Volume of triangular prism can be written as ( length × width × height)

Volume= ( length × width × height)

Then substitute the values, we have

11.13 = 2.6 × 1.9 × height

Height= 11.13/(2.6×1.9)

= 11.13/4.94

= 2.25 feet

Answer:

1 and 1/4

Step-by-step explanation:

add 3/4 and 1/2, divide 1/2 into 2/4 and when you add 2/4 to 3/4 you have an extra quarter. therefor you have 4/4 and 1/4 which is 1 and 1/4.

hope this helps <3

Answer:

[tex]1\frac{1}{4}[/tex]

Step-by-step explanation:

Step 1: Add the given values (Since we don't know the original amount and we are given the amount of which is changed with, we need to add those amounts together to know by how much the liquid beaker changed.)

[tex]\frac{3}{4} = 0.75\\\\\frac{1}{2} = 0.5\\\\0.5 + 0.75 = 1.25\\\\\frac{3}{4} + \frac{1}{2} = 1\frac{1}{4}[/tex]

Therefore, the overall change in the amount of liquid in the beaker is [tex]1\frac{1}{4}[/tex] liters.

Answer:

Step-by-step explanation:

If you don't know how to use your calculator to find a regression equation, that is much too much to try and teach you in a forum such as this (it takes all hour to teach Algebra 2 students during the school year and they are sitting in class watching a demonstration!). I entered the data in my calculator and got the equation to be

y = 18.9x + 850 with a correlation coefficient of only .8 so this is not a very good model for this data anyway. However, we will proceed with the question as it asks. Year 0 is 2008, so the year in question, 2016, is year 8. We fill in the model with 8 for x and solve for y, the cases in NY of crime in that year:

y = 18.9(8) + 850 and

y = 151.2 + 850 so

y = 1001 cases of crime

Answer:

6 - 14t

Step-by-step explanation:

2(3-7t)

Distribute

2*3 - 2*7t

6 - 14t

Answer:

6 - 14t

Step-by-step explanation:

Answer:

yes because the density of water is 997kg/M3 which is greater than the wood of 508•660425kg/M3 as it's density

here density = mass *volume

d=0•025*20346•417

d=508•660425kg/M3

here mass is changed in kg and volume is assumed as m^3 because of absence of unit of volume

Answer:

The area of a circle is pi times the radius squared.

-----------------------

hope it helps...

have a great day!!

Answer:

(3.5, -2)

Step-by-step explanation:

that point is where the edge if the rectangle is

Answer:

0.36582

Step-by-step explanation:

(a×b)

= (1.34×0.273)

= 0.36582

Answer:

The simplest terms is, tan W=4.

Explanation:

Trigonometry is a discipline of mathematics that deals with certain angle functions and how to use them in computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Step by step:

Simplest term of tan W are calculated as:

We know that, [tex]tan[/tex]θ [tex]=\frac{opposite}{adjacent}[/tex]

According to the question:

[tex]tan W=\frac{VU}{VW} \\\\tan W=\frac{24}{6} \\\\tan W =4[/tex]

Hence,  The simplest form of tan W is 4.

To know more about trigonometry here, https://brainly.com/question/24349828

#SPJ2

Answer:

60°

Step-by-step explanation:

Answer:

A) 60

Step-by-step explanation:

Each Angle in a hexagon equals 120

X is supplementary to one of those angels, therefore 180-120 = 60

Answer:

4.8 is the answer!

Step-by-step explanation:

0.6 x 8 = 4.8

6 x 8 = 48

multiply 6 by 8, and move the decimal to the left one time, and get 4.8

Answer: 4.8

Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back

48.0 (this is before you move the point)

4.8 (this is after)

basically depending on how much numbers you have after the decimal point, that's how much you move forward!

Let me know if you have more questions!

Good luck!

Answer:

8.8

Step-by-step explanation:

Answer:

402.124

Step-by-step explanation:

2pirL = 2 x π x 8 x 8

Answer: 804.08

Step-by-step explanation: