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
ki77a [65]
2 years ago
12

Find the altitude of this equilateral triangle - geometry

Mathematics
1 answer:
Bond [772]2 years ago
7 0

Answer:

4√3.

Step-by-step explanation:

If the height is h then

tan 60 = h / (1/2*8)

tan 60 = h/4

h = 4 tan 60

   = 4 * √3.

You might be interested in
What is the vertical intercept (or y-intercept) of the line below?<br> (0,6)<br> (-3,0)
damaskus [11]

Answer:

-6 ?

Step-by-step explanation:

5 0
3 years ago
A teacher student committee consisting of 4 people is to be formed from 5 teachers and 20 students. Find the probability that th
antiseptic1488 [7]

Answer:

99.96%

Step-by-step explanation:

Given the information:

  • 5 teachers
  • 20 students
  • 4 people in committee

=> the are 25 people in total

Hence, the total possible outcomes of all the members in the 4 committee:

C^{4} _{25}  = 12650

They want us to find the probability that the committee will consist of at least one student, which means that

=(Total possible outcome - committee with no student) / Total possible outcomes

So we need to find the possible outcomes of committee with no student:

= C^{4} _{5}  =5

=> the probability that the committee will consist of at least one student.

= (12650 - 5) / 12650

= 0.9996

= 99.96%

Hope it will find you well.

5 0
3 years ago
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
Elis [28]

In order for <em>F</em> to be conservative, there must be a scalar function <em>f</em> such that the gradient of <em>f</em> is equal to <em>F</em>. This means

\dfrac{\partial f}{\partial x}=3x^2-2y^2

\dfrac{\partial f}{\partial y}=4xy+4

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y)=x^3-2xy^2+g(y)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=-4xy+\dfrac{\mathrm dg}{\mathrm dy}=4xy+4\implies\dfrac{\mathrm dg}{\mathrm dy}=8xy+4

But we assume <em>g</em> is a function of <em>y</em>, which means its derivative can't possibly contain <em>x</em>, so there is no scalar function <em>f</em> whose gradient is <em>F</em>. Therefore <em>F</em> is not conservative.

8 0
3 years ago
Convert 12,5% to a decimal fraction.
Stolb23 [73]
Decimal fractions don't exist. Do you mean convert to a decimal and a fraction?
5 0
3 years ago
Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a
FrozenT [24]

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

x + y = 160

The total earnings is: $1850, so we have:

5x + 15y = 1850

Required

Determine the rate of each

The equations are:

x + y = 160 --- (1)

5x + 15y = 1850 --- (2)

Divide (2) through by 5

x + 3y = 370 --- (3)

Subtract (1) from (3)

x - x + 3y - y = 370 - 160

2y = 210

Divide through by 2

y = \frac{210}{2}

y = 105

Substitute 105 for y in (1)

x + y = 160

Make x the subject

x = 160 - y

Substitute 105 for y

x = 160 - 105

x = 55

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

7 0
3 years ago
Other questions:
  • A water park charges $5 for entry into the park and an additional $2 for each of the big water slides. Steven spent $17 on his v
    13·1 answer
  • How does the relationship between multiplication and division help you divide rational numbers?
    10·2 answers
  • Equivalent to 486 – 9 + 6 + 33 × 2?
    7·1 answer
  • Which expression is equivalent to (x^6 y^8) ^3 over x^2 y^2 ?
    11·2 answers
  • A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4 centimeters. What is the
    10·1 answer
  • B) The marked price of a calculator is Rs 1,800. The shopkeeper allows 10 %
    6·1 answer
  • HELP!!
    9·1 answer
  • Dont steal points please if you do you will get repo answer all please I will give brainliest if its correct and 5 stars rating
    9·2 answers
  • I need help asap with this problem1/3)3
    14·1 answer
  • Michael took 12 tests in his math class
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!