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2 years ago

I need help rlly bad I have no idea what’s the answer plsss help me!!!

Mathematics

2 answers:

NemiM [27]2 years ago

5 0

Answer:

Answer is 6

Step-by-step explanation:

Use Trigonometry to do this equation

Sin30° = $\frac{n}{12}$

Multiply both sides by 12

12Sin30° = n

Then put the values into a scientific calculator

12Sin30° = n

6 = n

lyudmila [28]2 years ago

3 0

Answer:

n = 6 $\sqrt{3}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = $\frac{\sqrt{3} }{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{n}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2n = 12 $\sqrt{3}$ ( divide both sides by 2 )

n = 6 $\sqrt{3}$

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140 days

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What is the correct first step to solve this system of equations by elimination?

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$\bold{\huge{\pink{\underline{ Solution }}}}$

$\bold{\underline{ Given }}$

We have given two linear equations that is 2x - 3y = -6 and x + 3y = 12 .

$\bold{\underline{ To \: Find }}$

We have to find the value of x and y by elimination method.

$\bold{\underline{ Let's \: Begin }}$

$\sf{ 2x - 3y = -6 ...eq(1)}$

$\sf{ x + 3y = 12 ...eq(2)}$

Multiply eq( 2 ) by 2 :-

$\sf{ 2( x + 3y = 12 )}$

$\sf{ 2x + 6y = 24 }$

Subtract eq(1) from eq(2) :-

$\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}$

$\sf{ 2x + 6y - 2x + 3y = 24 + 6 }$

$\sf{ 9y = 30 }$

$\sf{ y = 30/9}$

$\sf{\red{ y = 10/3}}$

Now, Subsitute the value of y in eq( 1 ):-

$\sf{ 2x - 3(10/3) = -6 }$

$\sf{ 2x - 10 = -6 }$

$\sf{ 2x = -6 + 10}$

$\sf{ x = 4/2}$

$\sf{\red{ x = 2}}$

Hence, The value of x and y is 2 and 10/3

6 0

2 years ago

A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of material t

Mila [183]

Answer:

The short side is _15___ft and the long side is ___30___ ft.

Step-by-step explanation:

As fence is built in a rectangular area, so we can consider

Let

x be the length of the rectangle

y be width of the rectangle

Given area of rectangle is = 450 ft²

Formula for area of rectangle = Length x width

450 ft² = xy

Solve for y

y = 450/x

now according to given condition

three sides of the fence costs $5 per foot and for the fourth side costs$15 per foot.

We have two condition either the fourth side be x or y

So condition 1: Three sides =(x,y,x) 4-th side = y.

So we can write as 5x,5y,5x and 15 y

Cost C = 5x +5y+5x+15y

= 10x+ 5y+15y

= 5(2x+y) +15y----------------equation 1

= 10x +20y

Adding value of y 450/x

= 10x + 20(450/x)

= 10x + 9000/x

For minimum cost, we can consider the cost to be 0

0 = 10x + 9000/x

Dividing and multiplying by -x/x

0 = -10 +9000/x²

10 = 9000/x²

10x² = 9000/

x²= 900

x = 30

so y = 450/x = 450/30= 15 ft

so adding the values of x and y in equation 1 we will have

cost C= 5(2x+y) +15y----------------equation 1

cost is = 5(2(30)+15) +15(15)

= $600 is the cost

X= 30 y =15

So condition 2: Three sides =(y,x,y) 4-th side = x.

So we can write as 5y,5x,5y and 15 x

Cost C = 5y +5x+5y+15x

= 5x+ 10y+15x

= 5(x+2y) +15x----------------equation 2

= 20x +10y

Adding value of y= 450/x

= 20x + 10(450/x)

= 20x + 4500/x

For minimum cost, we can consider the cost to be 0

0 = 20x + 4500/x

Dividing and multiplying by -x/x

0 = -20 +4500/x²

20 = 4500/x²

20x² = 4500

x²= 4500/20= 225

x = 15

so y = 450/x = 450/15= 30 ft

so adding the values of x and y in equation 2 we will have

cost C= = 5(x+2y) +15x----------------equation 2

cost is = 5(15+2(30) +15(15)

= $600 is the cost

y= 30 x=15

so from both conditions satisfy the cost and the two sides are known as length and width

so dimension will be 15 ft by 30 ft

7 0

2 years ago

Help me help me 10 points

Shtirlitz [24]

Answer:

arc BC = 84 degrees

Step-by-step explanation:

notice:

need to find n before finding arc BC

(13n -16) + (7n + 12) + 6n = 360

13n + 7n + 6n - 16 + 12 = 360

26n - 4 = 360

26n = 364

n = 364/26 = 14

so arc BC = 6*14 = 84 degrees

3 0

2 years ago