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3 years ago

12

Find the missing side lengths leave your answerss as radicals??

1 answer:

ASHA 777 [7]3 years ago

4 0

Answer:

<h2>x= 3√3</h2><h2>y= 3</h2>

Step-by-step explanation:

1) Add 30+90 to get 120 and subtract 180-120= 60 as your third angle.

2) Take sin60= x/6 to get x= 3√3

3) Take sin30= y/6 to get y= 3

Here's a tip to verify this answer.

Use Pythagorean Theorem to do:

Square root of (3√3)^2 + 3^2 which equals 6 as your hypotenuse!

You might be interested in

A photocopy machine can print 405 copies in 9 minutes. what is the unit rate the machine can produce in 1 minute

Zolol [24]

Answer:45

Step-by-step explanation: divide 405 by 9

3 0

3 years ago

an oil change at city auto is regularly $30. Mr. Allen had a coupon for 15% off. He wants to know the sale price of the service.

pshichka [43]

Answer:

he would pay $4.50 for it.

Step-by-step explanation:

all you do is take the $30 and times that by 15% and you get $4.50.

4 0

3 years ago

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

HELP PLZ NEED HELP SHOW WORK TOO

monitta

15. 3x - 2y = -2
3x - 3x - 2y = -3x - 2
   -2y = -3x - 2
      -2    -2
   y = 1.5x + 1

y - y₁ = m(x - x₁)
y - 3 = ⁻²/₃(x - (-2))
y - 3 = ⁻²/₃(x + 2)
y - 3 = ²/₃(x) - ²/₃(2)
y - 3 = ⁻²/₃x - 1¹/₃
   + 3 + 3
   y = ⁻²/₃x + 1²/₃

16. 230 = 0.2s + 150
    - 150    - 150
      80 = 0.2s
      0.2    0.2
    400 = s

17. y = 2x + 2

5 0

3 years ago

A donut shop made 12 dozen donuts to give to a school’s math club.

stepan [7]

Answer:

d=doughnuts

x=students in math club

1 dozen = 12d

/ = divided by

. = multiply

(12.12)/x=

4 0

2 years ago