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vagabundo [1.1K]
2 years ago
10

Find the value of each variable

Mathematics
1 answer:
Inessa [10]2 years ago
4 0

Answer:

x = 7

y = 7√3

Step-by-step explanation:

Formulas : -

sin θ = opposite side / hypotenuse

When θ = 60,

Opposite side = y

Hypotenuse = 14

sin 60 = y / 14

√3 / 2 = y / 14

y = √3 x 14 / 2

= √3 x 7

y = 7√3

When θ = 30,

Opposite side = x

Hypotenuse = 14

sin 30 = x / 14

1 / 2 = y / 14

x = 1 x 14 / 2

= 1 x 7

x = 7

Note : -

The value of,

sin 30 = 1 / 2

cos 60 = 7√3

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love history [14]

y=-x

slope for perp line = 1

2y=-x+6

y=-1/2x +3

slope for perp line = 2

15.

i don’t wanna do all sorry it’s a lot of work so i’ll tell u how to do it instead. first write it in slope intercept form which is

y-y1=m(x-x1)

it’s parallel which means it shares the same slope. if it’s perpendicular it would be opposite reciprocals so for -3/2 the perp slope would be 2/3.

the line is

y+1=3/4(x-4)

we distribute the 3/4 so it’s now

y+1=3/4x-3

then we subtract the 1

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6 0
3 years ago
2x-17=9/x solve by factoring
aleksley [76]
X=9, - 1/2 is the answer
7 0
4 years ago
Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?
klemol [59]

Answer:

21x/20 or can be written as  x + x/20 .

Step-by-step explanation:

The number is x

step 1

x is increased by 50%

value of 50% of x = 50/100 *x = x/2

New value after this change = x + 50% increase = x + x/2 = 3x/2

Step 2 The value obtained is decreased by 30%

value of 30% newly found number is = 30% of value found in step 1

value of 30% newly found number is = 30/100 * 3x/2 = 9x/20

This value (9x/2) is subtracted from value found in step 1(3x/2) as given that  value obtained is decreased by 30%

new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20

new value found after 30% decrease = (30x-9x)/20 = 21x/20

Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20

6 0
3 years ago
A calendar watch loses one second per day. At this rate, the approximate length of time, in years, for the watch to lose exactly
const2013 [10]

Using proportions, the approximate length of time, in years, for the watch to lose exactly 24 hours is:

(d) 240.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

24 hours have 24 x 3600 = 86400 seconds, hence the <em>rule of three</em> is given by:

One second - 1/365 year

86400 seconds - x years

Applying cross multiplication:

x = 86400/365

x = 240.

Hence option D is correct.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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