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
svetlana [45]
3 years ago
7

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
<span>In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. 
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15

<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
You might be interested in
A toy manufacturer wants to minimize her cost for producing two lines of toy airplanes. Because of the supply of materials, no m
andrey2020 [161]
Since Flying Falcon cost($8) is cheaper than Flying Bat($12), then the minimum possible cost each day would be the maximum possible Flying Falcon produced.
The maximum flying falcon produces is 60/day. Then, the amount of flying bat produced would be:

total= falcon + bat
70= 60+bat
bat= 70-60= 10

The minimum possible cost: falcon * falcon_cost + bat * bat_cost = 60*$8 + 10*$12 = $480+$120= $600
8 0
3 years ago
Please help its a quiz Click this is with picture
Bogdan [553]

Answer:

-16

Step-by-step explanation:

Subtract the afternoon temperature from the evening temperature

3 0
2 years ago
Read 2 more answers
May someone help me out with this question
dedylja [7]
The answer would be 7.5
3 0
3 years ago
Read 2 more answers
A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."
SVEN [57.7K]
"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.
8 0
3 years ago
The functions, f and g, are defined below.<br> f(x) = 2x² +5<br> g(x)=x-3<br> What is f(g( – 5))
Grace [21]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Factor 9x^2 -5 . using difference of squares
    7·1 answer
  • Calculo el area del búmeran tomando en cuenta que su diámetro es 20 cm
    13·1 answer
  • Question 2 please help
    13·2 answers
  • 8. The perimeter of a square is 48 cm. what is the area, in cm2?​
    5·2 answers
  • Can anyone solve this?
    14·2 answers
  • Look at the following sequence. 128, 320, 800, 2000, . . . If it is a geometric sequence, choose the common ratio. If it is not
    12·2 answers
  • If Jacob's salary of $2,100 per month is increased by 5%, what is her new monthly salary?
    8·1 answer
  • Solve the system for X:<br> y=3x +4<br> у=х+8 x +10
    5·1 answer
  • The city of Raleigh has 6200 registered voters. There are two candidates for city council in an upcoming election: Brown and Fel
    5·2 answers
  • HELP PLEASE URGENT, ASAP. THIS IS GRADE 11 TRIGONOMETRY ILL GIVE THE BRAINLIEST!!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!