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3 years ago

The second floor of a building is 20 m above the ground.

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

5 0

45°?

Step-by-step explanation:

The second floor of a building is 20 m above the ground.

From this floor, the angle of

elevation of the top of an eucalyptus tree is 15°

and the angle of depression of the foot of the same tree is 10°

10+15+20=45

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Why is it important to learn valid proportions

notsponge [240]

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1 year ago

Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres an

BigorU [14]

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

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2 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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2 years ago

I have five questions and I need some help. please help

Step2247 [10]

The answer to the question

5 0

3 years ago

Given the diagram below, what is the length of segment EF

bekas [8.4K]

Let x = length of segment EF.

Assume that
(a) line segments AD, EF, and BC are parallel, and
(b) the vertical distance between AD and EF is equal to the vertical distance between EF and BC.

Then from similarity between geometric shapes, we can write
$\frac{2.2}{x} = \frac{x}{4.8}$
$x^{2} =(2.2)(4.8)=10.56$
x=3.2 (nearest tenth)

Answer: B. 3.2

6 0

2 years ago

Read 2 more answers