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
kotykmax [81]
3 years ago
15

In a 30° - 60° - 90° triangle, the longer leg is which of the following?

Mathematics
1 answer:
svetlana [45]3 years ago
3 0
In the triangle...the length of the longer side is tan 60 multiply by the shorter leg. Tan 60 = sq root 3...thus
Longer side = sq root 3 times the length of the shorter leg
You might be interested in
H(x)=1/8x^3-x^2<br><br> Over which interval does h have a positive average rate of change?
lara31 [8.8K]

Answer:

(-\infty,0)\cup(\frac{16}{3},\infty)\\That \ is x\frac{16}{3}

Step-by-step explanation:

h(x)=\frac{1}{8}x^{3} -x^{2} \\\\Differentiate \ h(x) \ with \  respect \ to \ x\\h'(x)=\frac{3}{8}x^{2} -2x

For positive rate of change h'(x)>0

\frac{3}{8} x^{2} -2x>0\\x(\frac{3}{8}x-2)>0\\\\ When \ x0 \ (multiplication \ of \ two \ positives \ is \ positive)\\\\h'(x)>0 \ when \ x\frac{16}{3} \\\\

6 0
4 years ago
The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to
Black_prince [1.1K]
 Length = x + 2  (because it is 2 cm more than x)
Width = 2x - 5   (5 cm lest than 2x)Area = 54 cm2  this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54   (this is you area)

  Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0  then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4          and          x = (1 - 22.65) / 4 x = 5.91                          and          x = -5.41  Check the validity of the x values by adding them to the length and width.  If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2  (positive value.)Width = 2(5.91) - 5  ( positive value.) x = 5.91    If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x.  The answer is x = 5.91

Hope I helped and sorry it was really long
6 0
3 years ago
Read 2 more answers
Solve the following equation then place the correct number in the box provided. X/3 - 4 = 10
ivann1987 [24]
X = 42

x/3 - 4 = 10
+ 4 +4
x/3 = 14
•3 •3
x = 42
4 0
3 years ago
A line passes through the point (8, -9) and has a slope of 3/4 . Write an equation in point-slope form for this line.​
Finger [1]

Answer:

y+9=3/4(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=3/4(x-8)

y+9=3/4(x-8)

6 0
3 years ago
Find the Quotient.<br>2,874 - 4​
Tanya [424]

Answer:

718.5

Step-by-step explanation:

First, you see how many times 4 can go into 28. Then divide by 74. To get 718.5

3 0
3 years ago
Other questions:
  • Help help help thanks
    12·1 answer
  • How to write 1,010,101.101 in expanded form
    10·1 answer
  • QUESTION 4 of 10: Your average weekly take home wage is $615. You take a one-week paid vacation and a second week unpaid vacati
    10·2 answers
  • a board game has a spinner divided into sections of equal size. Each section is labled with a number between 1 and 5. Which numb
    15·1 answer
  • Cole and his friends made a line plot of hours they spend watching TV after school, which is the difference between the greatest
    6·2 answers
  • 7- (-11) =<br> I need the answer to this question
    10·2 answers
  • -3(x+2)
    5·2 answers
  • The ratio of the sides of a triangle is 2:5:7. if the perimeter of the triangle is 182 meters, what is the length of the longest
    11·1 answer
  • A parachute speed during a free fall reaches117 miles per hour What is the speed in feet per second At the speed how many feet w
    6·1 answer
  • Which fraction does the colored portion of the picture represent?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!