Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent
building, 100 meters away, stands at 550 meters tall. What is the angle of depression from Burj
Khalifa to the adjacent building?

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

3(x - 2) = 2(x + 1)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.

Answer: [tex]\frac{5}{(x+1)(x+5)}[/tex]

Step-by-step explanation:

[tex]\frac{5}{x+5} - \frac{5x}{x^2+6x+5}[/tex]=

[tex]\frac{5}{x+5} - \frac{5x}{(x+1)(x+5)}[/tex]=

[tex]\frac{5(x+1)}{(x+1)(x+5)} - \frac{5x}{(x+1)(x+5)}[/tex]=

[tex]\frac{5(x+1)-5x}{(x+1)(x+5)}[/tex]=

[tex]\frac{5x+5-5x}{(x+1)(x+5)}[/tex]=[tex]\frac{5}{(x+1)(x+5)}[/tex]

Step-by-step explanation:

3 13

- ------ + ------ <-------- Fraction bar

8 6

1. Get both fractions to have the same denominator which is 24 because it is the Least Common Multiple (LCM) - 1st fraction multiply by 3 on numerator and denominator, 2nd fraction multiply by 4 on numerator and denominator.

9 52

- ------ + ----- <-------- Fraction bar

24 24

2. Subtract the two fractions - there is a negative number and positive number, so we need to subtract even though it is addition because they are different signs. The answer is positive because it is the bigger number.

43

= ------ <-------- Fraction bar

24

3. The answer is already simplified because there are no common factors for 43 and 24. So the final answer is ...

43

------ <-------- Fraction bar

24

Hope this helps :)

Answer:

5 words

Step-by-step explanation:

The co-ordinates of D is if the midpoint E is at (-1,0 )which is calculated using the section formula.

In coordinate geometry, the Section formula is used to determine the internal or external ratio at which a line segment is divided by a point. It is used to determine a triangle's centroid, incenter, and excentre.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

The section formula is given by:

[tex]{\displaystyle P=\left({\frac {mx_{2}+nx_{1}}{m+n}},{\frac {my_{2}+ny_{1}}{m+n}}\right)}[/tex]

where (x₁ ,y₁) and (x₂ ,y₂) are the two endpoints of the line -segment.

The midpoint is calculated by:

[tex]{\displaystyle Q=\left({\dfrac {x_{1}+x_{2}}{2}},{\dfrac {y_{1}+y_{2}}{2}}\right)}[/tex]

where (x₁ ,y₁) and (x₂ ,y₂) are the two endpoints of the line -segment.

Now the given co-ordinates of the points are C(5, 2) and the midpoint is E(-1 , 0). Now to find the co-ordinates of D we have to use the midpoint formula.

Let the co-ordinate's of D be (a , b) then by using the above midpoint formula we get:

-1 = (5+a) ÷ 2

or, a = -2 -5

or, a = -7

again

0 = (2+b) ÷ 2

or, b = -2

Hence the co-ordinates of D is (-7 , -2)

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Answer:

47.1 cm

Step-by-step explanation:

The circumference of a circle is denoted by C = 2πr, where r is the radius.

Here, we see that the given radius is 7.5, so r = 7.5 cm. We also are given that we need to use the approximation 3.14 for π, so plug all these into the formula:

C = 2πr

C = 2 * 3.14 * 7.5 = 47.1

To round this to the nearest hundredth... well, there's no hundredth place, so we can leave this as is or just write 47.10 cm.

Thus, the circumference is 47.1 cm.

Answer:

B. 175

Step-by-step explanation:

There are 2 ways that we can find the answer to this question:

1. Take 1/4 of 697

2. Take 3/4 of 697 and minus the product from 697.

Let's do it both ways:

If we are doing it the first way it would look like this:

(1/4)(697) = 175

Note that we get 1/4 because Huey already read 3/4 of the book so he has 1/4 left.

The second way would look like this:

(3/4)(697) = 523

679 - 523 = 174 (roughly 175)

Therefore, the answer to your question would be B. 175.

I hope this helps!!

- Kay :)

what's the question?

the answer is y=3/2+0

Step-by-step explanation:

the equation for the answer is y=mx+b m repusents slope and the y-intercept repusents b i hope this helps you out.

Answer:

dip, tilt, slant, incline, descend

Answer:

25%

Step-by-step explanation:

1. 4.75/19 = .25

2. .25 = 25%

Answer:

67 is Prime.

Step-by-step explanation:

It is a prime number because it only had 2 factors. 1 and 67. No other numbers can be multiplied to get this number.

The mass of the sun using Newton's form of Kepler's 3rd law is;

M = 1.99 * 10³⁰ kg

Newton's form of Kepler's 3rd law shows us the orbit of a planet around the Sun. This relates the semi major axis distance of the orbit to the period of the orbit using the equation:

p² = (4π²/GM) * a³

Where:

p is the orbital period;

G is the gravitation constant;

M is the mass of the Sun;

a is the orbit semi major axis distance.

Making M the subject gives;

M =  (4π²a³/Gp²

Plugging in;

Now for planet Earth:

a = 1.496 * 10¹¹m

p = 3.154 * 10⁷ s

Putting in those values to find M is;

M = 1.99 * 10³⁰ kg

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Complete question is;

Elle Measured the height of a plant, in inches,Every week for four weeks after planting it.

The height of the plant, h, in inches, Can be modeled by the function h(t) = 1.5t + 3, where t represents the time in weeks.

Based on this model, what is the best prediction for the height of the plant after 12 weeks?

A 16.5 inches

B 21 inches

C 22.5 inches

D 27.3 inches

Answer:

Option B: 21 inches

Step-by-step explanation:

We are given the function h(t) = 1.5t + 3, where t represents the time in weeks.

At t = 0;

h(0): 1.5(0) + 3 = 3inches

At t = 1;

h(1): 1.5(1) + 3 = 4.5 inches

Thus, after 12 weeks, height will be;

h(12): 1.5(12) + 3 = 21 inches

Option B is correct

Answer:

option a is correct

Step-by-step explanation:

please mark me brainliest and 5 star

Answer:

The answere is a 11/36

Step-by-step explanation:

Hope this help :)

Answer:

2nd one is corect

60% is 93.49$ but u are getting 100$ discount so 2nd is ans

9514 1404 393

Answer:

  graphs left to right have a=1, a=0.25, a=-1

Step-by-step explanation:

A negative value of 'a' makes the parabola open downward, so the rightmost graph goes with a=-1.

A value of 'a' less than 1 flattens the graph, so the middle graph goes with a=0.25.

A value of 1 gives a standard open-upward parabola, corresponding to the leftmost graph.

Answer: it’s already in the correct order.

Step-by-step explanation:

Answer:

Step-by-step explanation:

that’s hard

Answer:

s < 28

Step-by-step explanation:

Step-by-step explanation:

So the pig costs 75 and the fee is 1.50

what we need to do is add the decimal and whole number to get an answer

we know that $75 is written like this in decimal form 75.00 now let's add

+ 75.00

1.50

---------

76 .50

THE ANSWER IS $76.50

Answer:

Uh I’m not sure about those answers sorry

Step-by-step explanation:

Answer: bowl of soup=$1.75

carton of juice=$1.25

fruit cup=$2.25

Step-by-step explanation:

j=carton of juice. f=fruit cup. s=bowl of soup.

9j=5f

f=s+0.5 ==> 0.5 dollars is 50 cents

s=j+0.5

j=s-0.5

9(s-0.5)=5(s+0.5)

9s-4.5=5s+2.5

4s-4.5=2.5

4s=7

s=7/4

s=$1.75

s=j+0.5

1.75=j+0.5

j=$1.25

f=1.75+0.5

f=$2.25

The area of the Lacrosse field with a length of 110 yards and a width of 60 yards is 6600 yard²

An equation is an expression that shows the relationship between two or more numbers and variables.

The area of a rectangle is the product of its length and its width. A lacrosse field is rectangular with a length of 110 yards and a width of 60 yards, hence:

Area = length * width = 110 * 60 = 6600 yard²

Scale ratio can be 1:55

The area of the Lacrosse field with a length of 110 yards and a width of 60 yards is 6600 yard²

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Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }

Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }

The domain of a function is defined as the set of values that we are allowed to enter into the function. This set is a bunch of x values in a function such as r(x).

The domain of the given function r(x) is all real numbers except where this expression, r(x) = |x| is undefined. In this question, there is no real number that makes this expression undefined.

The interval is denoted as ( −∞ , ∞ ).

The set builder is denoted as { x | x ∈ R }.

The range of a function is defined as the set of values that the function can assume. This set is a bunch of the values that the function shoots out after we enter a x value in. The range is a set of all valid y values. We have to use the graph to find the range.

The interval is denoted as [ 0 , ∞ )

The set builder is denoted as { y | y ≥ 0 }

Therefore, we get the domain and range as,

Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }

Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }

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Answer:

77 Miles Per Hour

Step-by-step explanation:

Its that

Answer:

962.5 miles

Step-by-step explanation:

385 / 2 = 192.5

this is the amount per hour

192.5 times 5 = 962.5

Answer:

It will cost $7.92

Step-by-step explanation:

We will need to find out how many table spoons of lemon we will need first.

We need to make 3 pies requiring half a cup of lemon juice.

3 * 1/2 = 1.5 cups

We convert the cups to tablespoons

1.5 * 16 = 24 tablespoons

Then, since each lemon yields two tablespoons, we divide the tablespoons required by two. This is to find the number of lemons we need.

24/2 = 12

We multiply lemons by the price the store is selling them.

12 * $0.66 = $7.92

This is the price to buy enough lemons to make the 9-inch lemon pies.