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3 years ago

What is the solution to the system of equations?

Mathematics

2 answers:

sineoko [7]3 years ago

3 0

Answer:

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

Step-by-step explanation:

madam [21]3 years ago

3 0

Answer:

(2,7)

Step-by-step explanation:

n=2p+3

n=5+p

We can combine the equation to a simpler equation

5+p=2p+3 to get p=2p+-2

-p=-2 or p=2

We can plug this in to get n=5+2 to get n=7

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a medication prescription states 1/4 tablet twice a day per 20kg the peson weight is 211 pounds. how many tablets should be take

Black_prince [1.1K]

<h2>Hello!</h2>

The answer is: 1.187 tablets each time (twice a day)

From the statement we know that 0.25 tablet (1/4) should be taken twice a day per 20 kg, it makes 0.5 table a day, per 20 kg.

First, we need to convert the given weight unit (pounds) to kg:

$1 Pound=0.45Kg$

So,

$211Pounds*\frac{0.45Kg}{1Pound}= 94.95Kg=95Kg$

A weight of 95 Kg, means 4.75 times more than the given information of 0.5 table a day, per 20 Kg

$\frac{95Kg}{20Kg}=4.75$

Then,

$4.75*(0.5)=2.375$

So,

For a weight of 95 Kg, 2.375 tablets should be taken a day, or 1.187 tablets each time.

Have a nice day!

6 0

3 years ago

A. n=55<br>b. n=25<br>c. n=5<br>d. n=3025

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Assuming the triangle is right, use Pythagoras' identity to find N

The square on the hypotenuse is equat to the sum of the squares on the other 2 sides.

Here the hypotenuse = 73, thus

N² + 48² = 73², that is

N² + 2304 = 5329 ( subtract 2304 from both sides )

N² = 3025 ( take the square root of both sides )

N = $\sqrt{3025}$ = 55 → A

5 0

3 years ago

If the angles are represented in degrees, find both angles:<br> cos(8x+18)=sin(−2x+36)

larisa [96]

Answer:

24 and 66degrees

Step-by-step explanation:

Given the equation

cos(8x+18)=sin(−2x+36)

In trigonometry identity, cos theta = sin (90- theta)

The given expression becomes;

sin (90 - (8x+18)) = sin(−2x+36)

sin will cancel out to have;

90 - (8x+18) = (−2x+36)

90-8x-18 = -2x+36

-8x +72 = -2x+36

-8x + 2x = 36 - 72

-6x = -36

x = 36/6

x = 6

Hence the value of x is 6

cos(8x+18) = cos(8(6)+18)

= cos 66

Also

sin(−2x+36)

= sin(−2(6)+36)

= sin(−12+36)

= sin 24

Hence both angles are 24 and 66degrees

7 0

3 years ago

Need help for this assignment

Effectus [21]

The Answer is 125 hope this helped

3 0

2 years ago

How do I do this??!.

ryzh [129]

<h3> What is trigonometry?</h3>

Trigonometry is the branch of geometry that gives the relationship between the angles and sides of a triangle.

c) proof. if cos∅ = $\frac{x}{\sqrt{x^{2} + y^{2} } }$ <em>, </em>then x = adjacent, $\sqrt{x^{2} + y^{2} }$ = hypotenuse

To solve for opposite, since it is a right angle triangle

$hypotenuse^{2}$ = $opposite^{2}$ + $adjacent^{2}$

$(\sqrt{x^{2} + y^{2} }) ^{2}$ = $opposite^{2}$ + $x^{2}$

$opposite^{2}$ = $x^{2}$ + $y^{2}$ - $x^{2}$

opposite = y

xsin∅ = x $(\frac{y}{\sqrt{x^{2} + y^{2} } })$ = $\frac{xy}{\sqrt{x^{2} } + y^{2} }$

ycos∅ = $\frac{xy}{\sqrt{x^{2} } + y^{2} }$

Therefore xsin∅ = ycos∅

d) 41 sin∅ = 40

sin∅ = 40/41

solving for adjacent = 9

tan ∅ = opp/adj = 40/9

$\frac{tan \alpha }{tan^{2}\alpha - 1 }$ = 40/9 ÷ $(\frac{40}{9} )^{2}$ - 1 = 40/9 ÷ 1600/81 - 1

= 40/9 ÷ 1519/81 = 40/9 x 81/1519 = 360/1519

e) 1 - cos ∅ = 1/2

cos ∅ = 1 - 1/2 = 1/2

∅ = cos inverse of 0.5 = 60°

tan 60 = $\sqrt{3}$ $tan^{2} 60$ = 3, sin 60 = $\frac{\sqrt{3} }{2}$ $sin^{2} 60$ = 3/4

$tan^{2} 60$ + 4 $sin^{2} 60$ = 3 + 4(3/4) = 3 + 3 = 6

Learn more about trigonometry: brainly.com/question/24349828

#SPJ1

4 0

2 years ago