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
evablogger [386]
3 years ago
10

Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

You might be interested in
Don't mind the answer i picked i accidently clicked it
vivado [14]

Answer:

a ball resting on the edge of a cliff

5 0
3 years ago
What is the product of a+3 and −2a2+15a+6b2?
Lady bird [3.3K]

Answer:

c. 2a3+9a2+45a+6ab2+18b2

Step-by-step explanation:

(a+3) + (−2a2+15a+6b2)

Using distributed p. with and a and 3

a(−2a2) + a(15a) +a(6b2)        and       3(−2a2) + 3(15a) + 3(6b2)

= -−2a3 + 15a2 + 6ab2                          = -6a2 + 45a + 18b2

Now add like terms and put in standard form.

15a2+(-6a2) = 9a2  

And equals

-2a3 + 9a2+45a+6ab2+18b2

Trust me I took the test and got 100%

Your welcome,

7 0
3 years ago
Read 2 more answers
Ms Harris has a taco stand. She has found that her daily costs are approximated by the following equation:
mrs_skeptik [129]
<span>a. find the number of units of tacos she must sell to minimise her cost.
</span>to find a minimum we need to find the function derivative and make it equal to zero:
dc/dx = 2x - 40 = 0
2x = 40
x = 20
therefore to minimize the cost, she needs to sell 20 units of tacos

<span>b. find the minimum cost.
</span>that can be done by substituting the previous result, 20 tacos, in the original equation:
<span>C(x) = x^2 - 40x + 610
</span>C(20) = (20)^2 - 40(20) + <span>610
</span>= 400 - 800 + 610
= 210
the minimum cost will be 210 dollars
3 0
3 years ago
If you multiply two binomials together, what type of polynomial will the product be?
Arturiano [62]
Depends
it can be a trinomial example
(x-3)(x-4)=x²-7x+12

it can be a binomial example
(x-3)(x+3)=x²-9

depends
7 0
3 years ago
12 divided by 1 half
dolphi86 [110]

Answer:

24

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the 7th term of a geometric sequence with t1=5 and r = -2.
    6·1 answer
  • (2 - 3)4(4) - 9 ÷ 3.
    5·2 answers
  • 4200 fans increased by 0.5
    8·2 answers
  • SHORT ANSWER
    8·1 answer
  • Solve the following proportion for v. v\13 = 7\17
    7·1 answer
  • Rearrange the density equation
    13·1 answer
  • The toll on a bridge is $ 1.00 for cars and $ 2.50 for trucks. In one hour, a toll operator raises a total of $ 105 in tolls. Wr
    10·2 answers
  • -1+7=6x<br> 4y-5=-9x<br><br> Remember I’m suppose to graph the x,y ☺️
    9·1 answer
  • The functionf(x)is shown in the graph.
    13·1 answer
  • 11
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!