From the observation deck of a skyscraper, Christian measures a 51^{\circ}
∘
angle of depression to a ship in the harbor below. If the observation deck is 1129 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Step-by-step explanation:

Objective: Recall the properties.

a) 3+1=4

b) 3+7=7+3

c) 3+(7+4)=7+(3+4)

d). 3(7+4)=(3×7)+(3×4)

Answer:

See image below for answer:)

Step-by-step explanation:

The inequality b < - 1.4 written as interval notation is b ∈ (- ∞, - 1.4).

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality b < - 1.4.

We know in interval notation if x is greater than a and less than b we write

a < x < b.

Therefore, The inequality b < - 1.4 can be written as,

- ∞ < b < - 1.4 Or b ∈ (- ∞, - 1.4).

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Answer:

55

Step-by-step explanation:

It is 55 minutes more because 1 1/2 hrs = 90 minutes and when you add 20 plus quarter of an hour it equal to 35. SO than you subtract 35 from 90 and you get 55 which is the more minutes .

Answer:

She is born with it. So be nice to here and don't talk about here lisp. If you do you would become here favorit. Don't talk bad about here behind here back.

Step-by-step explanation:

Lisp is a family of programming languages with a long history and a distinctive, fully parenthesized prefix notation. Originally specified in 1958, Lisp is the second-oldest high-level programming language in widespread use today. Only Fortran is older, by one year.

Answer:

Alternate exterior

Step-by-step explanation:

Angles 2 and 7 are on exterior sides of the transversal and also are opposite to one another. They are classified as alternate exterior.

Answer:

alternate exterior angles

Step-by-step explanation:

2 and 7 are on opposite sides of the transversal so they are called alternate

They are on the outside of the parallel lines so the are called exterior

Answer:

81

Step-by-step explanation:

4 quarts = 1 gallon

there are 22 gallons so multiply 4 by 22

that equals 88 quarts then subtract 7

leaving you with 81 quarts

Answer:

The number is four (4)

Step-by-step explanation:

look at the picture above, it explains everything

Answer:

the area is 27

Step-by-step explanation:

Answer:

the base of this shape is 6

lets break it up into a rectangle and a triangle

the rectangle is 6(base) time 3(height)=18

the triangle is 6(base) times 3(height) divided by two = 9

18 plus 9 = 27

Step-by-step explanation:

Everything has been written ..

Answer:

34

Step-by-step explanation:

The angles of a triangle add to 180

56+ F + 90 = 180   ( the box means 90 degrees)

Combine like terms

146+F = 180

Subtract 146 from each side

F = 180-146

F = 34

Step-by-step explanation:

n(AUB)=n(A)+n(B)-n(AnB)

hope it helps

Answer:

whats the question?

comment so i can help:)

Answer:

16 3/2

Step-by-step explanation:

So lets go thru each one.

16 3/2 is just 17.5

A square root cancels out a square.

A cubed root cancels out a cube.

So, in the next answer:

16 squared, to the square root is just 16, since the squaring and root cancels out.

64 sqaured to the cube root must be 16. Lets break it all down:

2^6=64.  We need to square this, so we can rewrite it as:

64^2 = [tex](2^6)^2[/tex]

Normally we add/subtract exponents, but since the 6 exponent is in parethesese, it is multiplied by the 2 exponent. This makes it 2^12. So we can rewrite [tex]\sqrt[3]{64^2}[/tex] as:

[tex]\sqrt[3]{2^1^2}[/tex]

Now, when we divide a exponent by a exponent, we subtract.

However, when we root a exponent, it is division.

So it is the 2 [tex]\frac{^1^2}{^3}[/tex]

=

[tex]2^4[/tex]

Or

16

Finally we have the cubed root of 8^4.

using the same steps as above, 8^4 = [tex](2^3)^4[/tex]. This equals [tex]2^1^2[/tex]

Then again, we cube root it.

This is division of the 12 exponent by the 3 root, so we get:

[tex]2^4[/tex]

=

16

So in the end:

A - 17.5

B - 16

C - 16

D - 16

So a is the largest number

Hope this helps!

Answer:

It's C

Step-by-step explanation:

because there is a 90 degrees sigh behind it and those two angles need to add up to 90

Answer:

31

Step-by-step explanation:

b+59=90

b=90-59

b=31

hope it helps

Answer:

3,964 ft

Step-by-step explanation:

555 / tan 8° = 555/0.14 = 3,964 ft

Answer:

Scale factor = 3

Step-by-step explanation:

Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure

Scale factor = B'C'/BC

B'C' = 9 units

BC = 3 units

Scale factor = 9/3 = 3

Answer:

Step-by-step explanation:

7x + 2x =90 (being perpendicular)

9x =90

x =90/9

x =10

substiute the value of x

7x

=7*10

=70

2x

=2*10

=20

Answer:

x = 10

Step-by-step explanation:

See image. Due to the logic of vertically opposite angles (when one angle is equal to the other that is "vertically opposite" to it), the two angles that I have marked in the diagram are going to equal.

Therefore, if we were to write it out:

2x + 7x = 90

(vertically opposite angles)

       9x = 90

     ∴  x = 10

9514 1404 393

Answer:

  (d)  reflection about the x-axis, up 6 units

Step-by-step explanation:

The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.

The transformations are ...

  reflection about the x-axis, up 6 units

Answer:

a. {(1,3), (1,4) ,(2,3), (2,4) }

b. {(1,4), (1,5), (2,4), (2,5)}

Answer:

PxR={(1,4)(1,5)(2,4)(2,5)}

PxQ={(1,3)(1,4)(2,3)(2,4)}

Step-by-step explanation:

Each of the members of set P is multiplying by each member of set Q or R,

so, 1 in set P has to multiply by 3 and 4 in set Q or 4 and 5 in set R. (We do the same for 2)

When a member of a set multiplies with another, we put the two members of two sets we are multiplying in parentheses.

Answer:

3 miles

Step-by-step explanation:

5-1+2=3

From the calculation done using the pythagoras theorem, the distance from Sarah's apartment is 12m

This theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Using the pythagoras theorem

BC² = AB² + AC²

The sides of the triangle are x, x - 1 and 5

x² = (x-1)² + 5²

x² = (x-1)(x-1) +25

x² = x²-x-x -1 + 25

collect like terms

2x = 24

divide through the equation by 2

x = 24/2

= 12m

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Answer:

B

Step-by-step explanation:

You always have to use the Big Three trig functions (those that are on your calculator when answering this kind of question involving right angle triangles).

y is the adjacent side of the triangle. It is the side (other than the hypotenuse -- which is the longest side of the right triangle) that makes up the cosine.

Cos(45) = y / 4 sqrt(2)

Cos(45) = sqrt(2)/2

Multiply both sides by 4 sqrt(2)

4*sqrt(2) * cos(45) = y

4*sqrt(2) * sqrt(2)/2 = y

2*2 = y

y = 4

I can't tell you where all the other choices are coming from.

Answer:

4, or B

Step-by-step explanation:

Answer:

Yes, this graph represents a function

Step-by-step explanation:

The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.

Answer:

The graph does represent a function

Step-by-step explanation:

The function is at about 30y = x^3

Answer:

(1)

compound amount = 802.5 $

invest earned = 52.5 $

Step-by-step explanation:

total amount = 10000 $

let amount x invested in ventures A and remaining (1000-x) on ventures B

now,

6x/100 +23/400(1000-x ) = 588.75

{24x+23(1000-x)}/400 =588.75

x=235500-230000

x=5500

Amount invested on A = 5500$

Amount invested on B = 4500$

(2)

principle=750$

time= 1 year

effective invest rate = 7%

a) compound amount = p(1+(r/w)^t

=750{1+(7/100)}^1

=802.5$

b) invest earned = 802.5-700 = 52.5$

Answer:

I think it's simple sentence

Answer:

AB ≈ 11.17 m

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{80}{360}[/tex]

    = 2π × 8 × [tex]\frac{8}{36}[/tex]

    = 16π × [tex]\frac{2}{9}[/tex]

    = [tex]\frac{32\pi }{9}[/tex] ≈ 11.17 m ( to the nearest hundredth )

Answer:

20x² + 40y²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4x(2x + 3x) + 5y(5y + 3y)

Step 2: Simplify

Answer:

20 x ² + 40 y ²

Step-by-step explanation:

4 x ( 2 x + 3 x ) + 5 y ( 5 y + 3 y )

Combine likes term

4 x ( 5 x ) + 5 y ( 8 y )

multiply, we get

20 x ² + 40 y ²

Answer:

[tex]36 - 3m[/tex]

Step-by-step explanation:

[tex]3(12−m)[/tex]

[tex]3 \times 12+3(−m)[/tex]

[tex]36+3(−m)[/tex]

[tex]36−3m[/tex]

9514 1404 393

Answer:

  the correct choice is marked: x = 11; Q = 55°

Step-by-step explanation:

If P and Q are supplementary, then ...

  Q = 180° -P

  Q = 180° -125°

  Q = 55°

Then we have ...

  5x = 55°

  x = 11°