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Aleks04 [339]
3 years ago
7

the legs of a right triangle have lengths of 28 meters and 21 meters. the hypotenuse has a length of 5x meters. what is the valu

e of x?
Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x

use the pythagorean theorem (a^2+b^2 = c^2) and solve for x

a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7

Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35

Toss out the negative length as it makes no sense. 

The only value of x is x = 7

Therefore the final answer is x = 7
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Answer:

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Step-by-step explanation:

by Pythagoras theorem first find the line DE =

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-> DE=27

then we know that tanθ=opposite/adjacent

so, 27/36 =tanC

simplified: tanC = 3/4

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2 years ago
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Flura [38]

Answer:

B. d = 4 cos(π/3 t)

Step-by-step explanation:

As at t=0 the amplitude is 4 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.  

sin 0=0

We know that,

y = a. cosb(t + c) + d

Period = 2 π / b

Horizontal shift or phase shift is c,

Amplitude is a,

Vertical shift is d.

As in this case the amplitude is given to be 4, hence  = 4

Also the period is given as 6.

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3 years ago
I have 8 red Valentine card and 2 pink. How many reds and pinks would I need to add to my collection so that the proportion of p
Alexxandr [17]

Answer:

You put in meaningless answers for other people so you don’t deserve an answer. Yeah, typing random letters isn’t really helpful. Shocking isn’t it?

Step-by-step explanation:

8 0
3 years ago
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horsena [70]

Fastest method for calculating what percent of 900 is 18

Assume the unknown value is 'Y', and 18 of 900 can be written as:

Y =  

18

900

By multiplying both numerator and denominator by 100 we will get:

Y =  

18

900

x  

100

100

=  

2

100

Y = 2%

Answer: 2 percent of 900 is 18

If you want to use a calculator, simply enter 18÷900x100 and you will get your answer which is 2

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Solve the math problem
Ray Of Light [21]

Answer:

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Step-by-step explanation:

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m = \dfrac{y_1 - y_2}{x_2 - x_1}

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3 years ago
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