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djverab [1.8K]
3 years ago
9

Find the missing side lengths. Leave your answers as radicals in simplest form

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

We have the triangle 30° - 60° - 90°.

The lenght of the sides are in proportion: 1:2:\sqrt3\to a:2a:a\sqrt3

a=y\\2a=x\\a\sqrt3=5\\\\a\sqrt3=5\qquad\text{multiply both sides by}\ \sqrt3\\\\3a=5\sqrt3\qquad\text{divide both sides by 3}\\\\a=\dfrac{5\sqrt3}{3}\\\\2a=2\cdot\dfrac{5\sqrt3}{3}=\dfrac{10\sqrt3}{3}\\\\Answer:\ x=\dfrac{10\sqrt3}{3},\ y=\dfrac{5\sqrt3}{3}

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6. Suppose you decide to make and sell silk flower arrangements. You spend $220.00 on materials. You sell each flower arrangemen
Gekata [30.6K]

The profit would you make if sold 23 silk flower arrangements be  $21.5.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

spend on materials = 220

Price for each flower =10.50

If 23 flowers are sold price would be,

= 10.50*23

=241.5

Hence, the profit would be = 241.5-220

                                             = $21.5

Learn more about unitary method here:

brainly.com/question/22056199

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7 0
2 years ago
Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1
evablogger [386]

\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)

3 0
3 years ago
Karen wants to join Buff Gym. There is a $100 initiation fee, and then a $40 monthly fee. A) Determine the equation that express
REY [17]
Sorry for the bad handwriting.

5 0
2 years ago
It's easy math but I am not very good at it, I need some help. can someone help me????? solve all 3of them please!
jonny [76]

Answer:

1. 458 - 247 = 211

2. 58.92 - 43.87 = 15.05

3. 51/8 - 15/8 = 4.5

Here you go ! Hope this helps !

4 0
3 years ago
Read 2 more answers
5000 is 1/10 of what
KatRina [158]
<span>The correct answer is 50,000.

Explanation<span>:
We can set up the equation 5000=1/10x to represent this situation.

To solve, we will divide both sides by 1/10:
5000</span></span>÷<span><span>(1/10) = (1/10x)</span></span>÷<span><span>(1/10)
5000</span></span>÷<span><span>(1/10) = x.

To divide fractions, flip the second one and multiply; this gives us
5000*(10/1) = x
50000 = x.</span></span>
8 0
3 years ago
Read 2 more answers
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