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Tpy6a [65]
3 years ago
6

The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 73

5 ft building to the horizon to the nearest mile?
(Hint: 5,280 ft = 1 mi; radius of Earth = 4,000 mi)




The distance from the top of the building to the horizon is ______ miles
Mathematics
1 answer:
Contact [7]3 years ago
3 0

Answer:

b = 33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

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Your teacher will grade your response for questions 21–23 to ensure you receive proper credit for your answer.
mario62 [17]

Answer:

(a) Arts take longer

(b) By 2/9 hours

Step-by-step explanation:

Given

Arts = four over nine hours

Maths = two over nine hours

Solving (a): Which takes longer?

First, represent both as fraction

Arts = \frac{4}{9}\ hours

Maths = \frac{2}{9}\ hours

Convert fraction to decimal

Arts = \frac{4}{9}\ hours

Arts = 0.444\ hours

Maths = \frac{2}{9}\ hours

Maths = 0.222\ hours

By comparison:

0.444 > 0.222

Hence, Arts take longer

Solving (b): How much longer?

To do this, we calculate the difference.

Difference = Arts - Maths

Difference = \frac{4}{9} - \frac{2}{9}

Take L.C.M

Difference = \frac{4 - 2}{9}

Difference = \frac{2}{9}\ hours

8 0
2 years ago
Please help me! Giving brainliest!
oksano4ka [1.4K]

Using it's formula, the surface area of the figure is:

A. S=2332 m²

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

S = 2(lw + lh + wh)

In this problem, the dimensions are:

35m, 9m, 16m

Hence the surface area of the rectangular prism is:

S = 2(35 x 9 + 35 x 16 + 16 x 9) = 2038 m².

<h3>What is the surface area of a cube?</h3>

The surface area of a cube of side length l is given by:

S = 6l².

In this problem, we have that l = 7 m, hence the surface area is:

S = 6 x 7² = 294 m².

<h3>What is the total surface area?</h3>


The total surface area is the sum of the surface areas, hence:

T = 2038 m² + 294 m² = 2332 m².

Which means that option A is correct.

More can be learned about surface area at brainly.com/question/13030328

#SPJ1

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2 years ago
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7 0
3 years ago
A triangle has a perimeter of 90 centimeters write and use a linear system
lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90   --------------equation(1)

Second equation would be

m = 5n-5        --------------equation(2)

Third equation would be

l = 5/4 m - n   --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.


5 0
3 years ago
Solve the expression (-24) + (+6)​
ASHA 777 [7]

Answer:

-18

Step-by-step explanation:

The answer is -18 because a negative plus a positive is always a negative.

8 0
3 years ago
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