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
Sav [38]
3 years ago
10

Can someone plz help me with this plzzzzz

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0

Answer:

D. m = \sqrt{3}, n = 1

Step-by-step explanation:

The triangle given is a 30-60-90 triangle. This means that the longer side of the leg is x\sqrt{3} (m), the shorter side of the leg is x (n), and the hypotenuse is 2x.

The hypotenuse is already given as 2, and since the hypotenuse is 2x, to find the shorter side (n), just divide by 2, giving you n = 1.

Now onto the longer side (m); it's represented by x\sqrt{3}, and since x is just 1, all you do is put x in front of \sqrt{3}.

But in this case, x is just 1, so it's like "imaginary," and doesn't need to be written out.

You might be interested in
Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T
anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

7 + 18 = 25 employees, which means that N = 25

7 over 50, which means that k = 7

10 dismissed, which means that n = 10

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055

0.055 = 5.5% probability that exactly 5 employees were over 50.

5 0
2 years ago
| 3. Find the Area of the triangle.<br> 8.6 yd<br> 10.9 yd
Nitella [24]

Given:

The base of the triangle = 8.6 yd

The height of the triangle = 10.9 yd

To find the area of the triangle.

Formula

The area of a triangle with b as base and h as height is

A=\frac{1}{2}bh

Now,

Taking, b= 8.6 and h = 10.9 we get,

A=\frac{1}{2}(8.6)(10.9) sq yd

or, A= 46.87 sq yd

Hence,

The area of the given triangle is 46.87 sq yd.

7 0
3 years ago
Read 2 more answers
A camera has a listed price of $522.98 before tax. If the sales tax rate is 8.25%, find the total cost of the camera with sales
svetoff [14.1K]

Answer:

4,314.6

Step-by-step explanation:

522.98 multiplied by 8.25 is 4,314.585 which rounded to the nearest cent is 4,314.6

7 0
3 years ago
Lutfen soruyu cevaplayın ​
elena-s [515]

Answer:

huh????

Step-by-step explanation:

what did you try to say

8 0
3 years ago
2x+3y=6<br> 3x-y=2<br> How many solutions does this have, one, none or infinite
sergey [27]
Y=-2/3x + 2
y=3x-2

one because the slopes are different

6 0
3 years ago
Read 2 more answers
Other questions:
  • Jorge is making six large salads. how many cherry tomatoes will he need
    10·1 answer
  • What is 50=5/9(F-32)
    9·2 answers
  • Two less than a product of two numbers
    11·2 answers
  • What is the scale factor ? And given that QY’ = 4.125 what is QY?
    14·1 answer
  • Need help with number 40 please !
    11·1 answer
  • Please provide a step-by-step instruction: You deposit $6,900 in a 2-year certificate of deposit (CD) earning 2.2% annual intere
    8·1 answer
  • Which is an example of a financial change that we require budgetary consideration
    10·2 answers
  • PLS HELP WITH THESE ILL GIVE BRAINLIEST
    8·1 answer
  • Please help as soon as possible
    13·2 answers
  • The volume of a cube can be found using the formula V=s^3, where s represents the length of each side of a cube. Find the volume
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!