1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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}

You might be interested in
700000x800000000 what is equivalent to 6x+9+-6
Ostrovityanka [42]

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

6 0
2 years ago
Help please........​
german
21x-9+63=180
21x+54=180
21x=126
x=6
4 0
3 years ago
Help plz.................
Furkat [3]

Answer:

anawer:D he most popoular

6 0
3 years ago
Heather has divided ​$5400 between two​ investments, one paying 8​%, the other paying 5​%. if the return on her investment is ​$
Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

(\frac{8}{100})x+(\frac{5}{100})y=345...(2)

0.08x+0.05y=345...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=5400-y

Substituting this value in equation (2) we will get,

0.08(5400-y)+0.05y=345

432-0.08y+0.05y=345

-0.08y+0.05y=345-432

-0.03y=-87

\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}

y=2900  

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

6 0
3 years ago
students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 cl
erma4kov [3.2K]

Answer:

26.8

Step-by-step explanation:

Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.

Total students that were divided into 4 classrooms :

33.5 × 4 = 134

So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.

134 ÷ 5 = 26.8

So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .

Hope this helped !

4 0
2 years ago
Other questions:
  • What is the solution to this equation?
    11·1 answer
  • Item 18 You and your friend gather 56 apples. You gather 29 apples. Let a be the number of apples your friend gathers. Write an
    7·1 answer
  • Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -8x^2 + 8x + 5.
    12·1 answer
  • PLS HELP ME ASAL FOR ALL 6!!! (MUST SHOW WORK FOR ALL!!) + LOTS OF POINTS!!
    12·1 answer
  • Carter Fenton is planning to borrow $1,600 from Christine
    8·1 answer
  • I NEED HELP!!! AYUDA!! AIDEZ-MOI!!!
    8·2 answers
  • Solve 5|x – 4| ≥ –10
    8·1 answer
  • Simplify the following expression:<br> 2x − 4y + 3x2 + 7y − 16x.
    14·2 answers
  • Claire tried to evaluate an expression step by step.
    10·2 answers
  • yang company sold merchandise for $4,000. the event is subject to a state sales tax of 9%. based on this information, yang would
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!