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Genrish500 [490]
4 years ago
13

The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection of the leg onto the hypotenuse

Mathematics
1 answer:
gladu [14]4 years ago
6 0
Consider the attached figure. All the triangles shown are similar, so

CB/CA = CD/CB
30/50 = projection/30
projection = 30^2/50
projection = 18

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In circle O, ST is a diameter.
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The value of x must be 25.0. The correct option is the second option-  25.0

<h3>Solving Linear equations </h3>

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

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8 0
2 years ago
Read 2 more answers
A + b = 10 <br> a - b = 2
____ [38]

Answer:

a = 6 , b = 4

Step-by-step explanation:

a + b = 10................equation 1

a - b = 2..................equation 2

Solving equation 1 and 2 we get

a + b = 10

<u>a - b =  2</u>

2a = 12

a = 12/2

Therefore a = 6

Now

putting a = 6 in equation 1

6 + b = 10

b = 10 - 6

Therefore b = 4

8 0
3 years ago
a laptop computer is purchased for $4500. Each year, its value is 80% of its value the year before. After how many years will th
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Answer:

So after 7 year price of the laptop will be less than $1000

Step-by-step explanation:

We have given price of the laptop is $4500

Its price is 80% of if its value in every next year

So depreciation rate = 100 - 80 =20%

For depreciation we know that

V=P(1-r)^n

Here V is final value and P is present value

So 1000=4500(1-0.2)^n

0.2222=(0.8)^n

Taking log both side

log0.222=nlog0.8

n = 6.74

So after 6.74 year the price of the laptop will be less than $1000

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3 years ago
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