To solve the problem we must know about Sine Rule.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
where
Sin A is the angle and α is the length of the side of the triangle opposite to angle A, Sin B is the angle and β is the length of the side of the triangle opposite to angle B, Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.The value of w is 4.0 cm.
Given to us
VW = 3.3 cm,∠U = 31°,∠W = 39°,Using the sine law,[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
Substitute the values,
[tex]\dfrac{Sin\ W}{w} = \dfrac{Sin\ U}{VW}[/tex]
[tex]\dfrac{Sin\ 39^o}{w}=\dfrac{Sin\ 31^o}{3.3}[/tex]
[tex]w=\dfrac{(Sin\ 39^o) \times 3.3}{Sin\ 31^o}[/tex]
w = 4.03224 cm ≈ 4.0 cm
Hence, the value of w is 4.0 cm.
Learn more about Sine Rule:
https://brainly.com/question/17289163
I kinda suck at inequalities, help pls:,)
Hey I need help with please
Thank You.
what is 685 x 32?? im confused
Answer:
21920
Step-by-step explanation:
Answer:
21,920
Step-by-step explanation:
Work uploaded below :)
you are given that 3y=5x
find the value of when x=12
Answer:
60 is the answer
Step-by-step explanation:
literally pls help i'm getting 15 bonus points for this and i need this rn
Answer:
IN THIRD STEP
Step-by-step explanation:
14/5-6 HE DIDNT TOOK LCM AND CUT 5 WITH THE ANOTHER 5 WHICH IS OUTSIDE
Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a heart and the second card is red
Answer:
25/208 or 12.2%
Step-by-step explanation:
P(heart) = 13/52 = 1/4
P(red) = 26/52 = 1/2
because we are not replacing the first card drawn, the deck has 51 cards remaining
P(heart, red) = 1/4 × 25/52
= 25/208 or 12.2%
Please help! Due at 11:30!!
Answer:
B (atleast from my calculations)
Step-by-step explanation:
The top dot is on 2 on the x axis and on 4 on the y axis so
Y=x+2
4=2+2
Hope this helps
Question 1 of 25
In preparing for his group's party, Ozzie cut up 26 strawberries. Then he answered a phone call. After the call, he cut up 18 more strawberries. How many strawberries did Ozzie cut up?
A. 26 strawberries
B. 34 strawberries
C. 8 strawberries
D. 44 strawberries
PLEASE HELP WITH THIS PLEASE
Answer:
x - 2
Step-by-step explanation:
If (x - h) is a factor of f(x) then f(h) = 0
Here f(2) = 0 , then x - 2 is a factor of f(x)
There are 46 children at the zoo. Twenty-nine students like popcorn and twenty like peanuts. Fifteen like both. How many students like neither popcorn nor peanuts?
Answer:none
Step-by-step explanation:
You must mean 64 instead of 46.Because 29+20+15=64 but none would agree to dislike both popcorn not peanuts.
how do you do 6x-11=-2x+5
is the equation y = x2 - 8 linear or nonlinear? show work or explain
Answer:
linear
Step-by-step explanation:
nonlinear equations have exponents and linear equations do NOT have exponents .
Hey There!
Solve For x ~
[tex] \large\sf \: 4x + 2 = -8?[/tex]
Thank You! :)
Hope It's Helps! :)
The value of x in the algebraic expression is -2.5
What is an algebraic expression?An algebraic expression is the representation of numbers with variables with the purpose of solving for the variable. The variables are expressed by using alphabetical letters, here it is (x).
From the given algebraic expression, we have:
4x + 2 = -8
Collect like terms
4x = -8 - 2
4x = - 10
Divide both sides by 4
[tex]\mathbf{\dfrac{4x}{4} = \dfrac{-10}{4}}[/tex]
x = -2.5
Learn more about algebraic expression here:
https://brainly.com/question/4344214
Find the Mean of the given data. 10,20,30,40,50
Answer:
The mean is 30
Step-by-step explanation:
To find the mean you add up all the numbers then divide how many numbers there are.....
10+20+30+40+50=150
150/5= 30
Hope this helps<3
Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30% have problems with hard drives (HD), and 15% have problems with both MB and HD.
(a) Are the events A have problems with motherboards" and B have problems with hard drives independent? Why or why not?
(b) What is the probability that a 10-year old computer still has fully functioning MB and HD?
Circle all the true equations
A. 5+0=0
B. 15 x 0=0
C. 1.4+2.7=4.1
D. 2/3 x 5/9= 7/12
E. 4 2/3 = 5- 1/3
The height of a tower on a scale drawing is 14 centimeters. The scale is 2 cm : 29 m. What is the actual height of the tower?
Answer:
203 m
Step-by-step explanation:
Set up a proportion and solve it.
drawing size : real size
14 cm : x
2 cm : 29 m
14/x = 2/29
2x = 14 × 29
x = 7 × 29
x = 203
Answer: 203 m
giving brainly if correct
this model represents which equation?
a. 3/4 ÷ 3/8
b. 10 ÷ 6
c. 6/10 ÷ 2
d. 3/4 ÷ 1/2
Someone help me with these 3 problems!!!! Due tomorrow!!!
Answer:
3. x[tex]\leq[/tex]-1
5. n[tex]\geq[/tex]6
7. n[tex]>[/tex]11
Step-by-step explanation:
3. -7+x[tex]\geq[/tex]-8 5. n-2[tex]\leq[/tex]4 7. -18+n[tex]<[/tex]-7
+7 +7 +2 +2 +18 +18
x[tex]\leq[/tex]-1 n[tex]\geq[/tex]6 n[tex]>[/tex]11
Bonjour quelqu'un pourrait m'aider à résoudre ce calcul svp ?
A= (5+T) (T-2)
Karen jumped rope for 20 minutes she stopped at 8:05 when does she start jumping
she started jumping rope at 7:45
The table shows values for functions f(x) and g(x). X f(x)=4x 1 g(x)=3x 1−4 −3 −11 −359 −2 −7 −113 −1 −3 −3 0 1 −1 1 5 5 2 9 23 3 13 77 What is the solution to f(x)=g(x) ? Select each correct answer. −3 −2 −1 0 1 2 3.
f(x) = g(x) at 0 and 1.
FunctionThe function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
x f(x) = [tex]\rm 3^x[/tex] g(x) = 2x + 1
-2 [tex]\frac{1}{9}[/tex] -3
-1 [tex]\frac{1}{3}[/tex] -1
0 1 1
1 3 3
2 9 5
To findThe solution to f(x)=g(x).
How to find the solution to f(x)=g(x) ?It is clear that at x = 0 and 1, f(x) = g(x).
Thus, f(x) = g(x) at 0 and 1.
More about the function link is given below.
https://brainly.com/question/5245372
Pleasee help me with this ty…………
Answer:
28.4
Step-by-step explanation:
IJ corresponds to FG, and JK corresponds to GH. So, x/6 = 52/11. 11x = 312, x = 28.36, which rounds to 28.4
The sales tax rate in New Mexico is 5.125%. Which equations represent the sales tax, t, you would pay in New Mexico for an item of cost c?
t = 0.05125c
please give brainliest
Find the slope on the line
Answer:
-1
Step-by-step explanation:
Use Rise/Run and since the line is negative the slope will be negative
14
13
10
9
need to show work!!!
Answer:
9
Step-by-step explanation:
Since you have a right triangle, you can use the Pythagorean theorem.
a² + b² = c²
x² + 5² = 10²
x² + 25 = 100
x² = 75
x = √75
x = 5√3 = 8.66...
x = 9
Please help me with this quick!
the picture is above
I’ll make you brainly
Answer:
The answer is A, C, and D
Step-by-step explanation:
Stephanie is saving money for a computer. So far she has saved $350. Write an equation to show how much she needs to save each month,m, for the next year so she has $1600 to spend on the computer.
Answer:
I believe the answer is x less than > with a line under it 83.33.
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
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.In this problem:
There is a total of 3 + 4 = 7 marbles, hence N = 7.Of those, 3 are blue, hence k = 3.2 marbles will be taken, hence n = 2.The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857[/tex]
[tex]P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429[/tex]
Hence:
[tex]p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286[/tex]
0.4286 = 42.86% probability of getting 2 of the same colour.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
FACTOR COMPLETELY
x^2-7x+7y-y^2
Given: [tex] {x}^{2} - 7x + 7y - {y}^{2} [/tex]
Now factoring them,
[tex] = > (x - y)(x + y) - 7(x - y)[/tex]
[tex] = > (x - y)(x + y - 7)[/tex]
Therefore, the answer to the question is [tex] (x - y)(x + y - 7)[/tex]
