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
Tems11 [23]
3 years ago
9

Find the value of x and the value of y.

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

x =  6/√3  ,   y = 12/√3

Step-by-step explanation:

sin 60° = opposite /hypothenus

√3/2 = 6/y

cross multiply

√3y=6 x 2 = 12

y = 12/√3

Tan 60° = opposite/adjacent

tan 60° = √3

√3 = 6/x

√3x= 6

x = 6/√3

You might be interested in
How do you eliminate the radical sign?
vekshin1

Answer:

Step-by-step explanation:

you can eliminate the radical by squaring both sides of the equation

4 0
3 years ago
The 40th parallel of north latitude runs across the United States through Philadelphia, Indianapolis, and Denver. At this latitu
Ronch [10]

Answer:

793.25 mi/hr

Step-by-step explanation:

Given that:

The radius of the earth is = 3030 miles

The angular velocity = \dfrac{\pi}{12} rads

If a jet flies due west with the same angular velocity relative to the ground at the equinox;

We are  to determine the How fast in miles per hour would the jet have to travel west at the 40th parallel for this to happen.

NOW;

Distance s is expressed by the relation

s = rθ

s = 3030(\frac{\pi}{12} )

s = 793.25

The speed which depicts how fast in miles per hour the jet would have traveled is :

speed (v) = \frac{s}{t}

v = \frac{793.25}{1}

v = 793.25 mi/hr

Hence, the jet would have traveled 793.25 mi/hr due west at the  40th parallel for this to happen.

7 0
3 years ago
I need help with this 2 please
xeze [42]

Answer:

D

Step-by-step explanation:

The formula for C is

C=2πr (using 3.14 as pi)

so C=2(3.14)(45)

so C=90(3.14)

so C≈282.6 or D

7 0
3 years ago
For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5
Keith_Richards [23]

Answer:

a) n = 50, p = \frac{1}{6}

b) n = 16, p = \frac{1}{100}

c) n = 26, p = 0.25, \mu = 6.5

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so n = 50.

Each roll can have 6 outcomes. So the probability that 5 is rolled is p = \frac{1}{6}

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so n = 16.

1 of 100 are winners. So p = \frac{1}{100}.

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so n = 26.

He wins 25% of the time, so p = 0.25

We have that \mu = np. So \mu = 26*0.25 = 6.5

6 0
3 years ago
Carol wants to build a fence around her
yaroslaw [1]

Answer:

540$

Step-by-step explanation:

9x9 = 81

9 + 9 + 9 + 9 = 36

36 x 15 =540

5 0
3 years ago
Other questions:
  • The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph
    7·1 answer
  • {12x + 4y = 15232x + 12y = 42012x + 4y = 15232x + 12y = 420 In the equations, xx represents the cost of a chicken lunch and yy r
    15·1 answer
  • Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first
    7·1 answer
  • My question says “Round to the millions place by 4,563,009
    11·1 answer
  • Find the number of real number solutions for the equation. x^2+0x-1=0
    12·1 answer
  • When solving 8 (x + 35) = -7, what is the correct sequence of operations? (5 points)
    11·1 answer
  • Anna walks dogs to earn money. She saves $4 for every $10 she earns.
    5·1 answer
  • Find the value of two numbers if their sum is 124 and their difference is 16
    9·1 answer
  • I need a A in math can you help me with this answer
    10·1 answer
  • On the graph of f(x)=sinx and the interval [0,2π), for what value of x does f(x) achieve a minimum?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!