Answer:
[tex]\huge\boxed{\text{Is inorrect. Correct answer is:}}\\\boxed{\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{\sqrt{12}-1}{\sqrt3}=\dfrac{\sqrt{12}}{\sqrt3}-\dfrac{1}{\sqrt3}=\sqrt{\dfrac{12}{3}}-\dfrac{1}{\sqrt3}=\sqrt4-\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=2-\dfrac{\sqrt3}{3}\\\\=\dfrac{6}{3}-\dfrac{\sqrt3}{3}=\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}\\\\\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}[/tex]
If cos θ = sin 2 θ, then the value of θ is = ___?
Given that:
Cos θ = Sin 2θ
⇛ Cos θ = 2 Sin θ Cos θ
⇛ Cos θ / Cos θ = 2 Sin θ
⇛ 1 = 2 Sin θ
⇛ 1/2 = Sin θ
⇛ Sin θ = 1/2
⇛ Sin θ = Sin 30°
⇛ θ = 30°
Therefore, θ = 30°
Answer :-The value of θ for the given problem is 30°
Check:-
LHS = Cos θ
⇛ Cos 30°
⇛ √3/2
RHS = Sin 2θ
⇛ Sin (2×30°)
⇛ Sin 60°
⇛ √3/2
LHS = RHS is true for θ = 30°
»If you have any doubt, then you can ask me in the comments.
Solve it ( i'll select u as brainlist )
Answer:
b is ur answer
Step-by-step explanation
hope this helps :)
8.2 is 2% of what number
Answer:
Step-by-step explanation:
If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.
Answer:
m = 410
Step-by-step explanation:
Let the number be n. Then:
8.2
--------- = 0.02
n
Cross-multiplying yields 0.02n = 8.2, from which we find n = 410
Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as
2%
-------- = 0.02
100%
Please help if you can!
Answer:
(0 ; -3)
Step-by-step explanation:
The y-intercept is where the line touches the y axis meaning that x is 0.
Answer:
-3 by the looks of it.
Step-by-step explanation:
The line intercepts at the y-intercept (the vertical and or straight up and down line) at -3.
Consider the following equation.
x+4y=14
Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.
Explanation:
We plug in x = -2 and solve for y
x+4y = 14
-2+4y = 14
4y = 14+2
4y = 16
y = 16/4
y = 4
Therefore, the point (-2, 4) is on the line x+4y = 14.
A normal distribution of scores has a standard deviation of 10and a samplemean of 50. Find the probability corresponding to each of the following values:
a. a score of 67
b. a score that is below 36
c. a score that is greater than 78
d. a score between 52 and 67
Answer:
Step-by-step explanation:
o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).
Convert the decimal 0.92¯¯¯ to a fraction.
Answer:
23/25 when reduced to the simplest form.
Step-by-step explanation:
write down the number as a fraction of one
0.92 = 0.92/1
so we multiply both numerator and denominator by 100
Then 0.92/1 = ( 0.92x100) / ( 1x100)
= 92/100
Now reduce the numerator and denominator by GCD between in this case
GCD ( 92,100) = 4
so, 92/ 4
100/ 4
=23/25
Nghiệm của Phương trình sĩn= -1
Answer:
sinx=−1⇔x=−π2+k.2π,k∈Z ( mà ông người VN đúng không =)))
Step-by-step explanation:
pls help mee I dont k ow this and if anyone is smort enough can you help me with the 9ther questions (5 i total my last redo)
Answer:
c
Step-by-step explanation:
I think that is the answer
Answer:
c
Step-by-step explanation:
it is equal to.
Find (- 18) + (-25) + 13.
-56
20
-30
-6
Answer: -30
Step-by-step explanation:
How do you apply the distrubtive property to simplify the expression. -3(6+2
Answer:
-24
Step-by-step explanation:
multiply the 6 by the -3 and the 2 by -3
you get -18+-6
if you add them together u get -24
Hey there!
-3(6 + 2)
= -3(8)
= -24
Therefore, your answer is: -24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
ple help me quick thank you:)
Answer:
z> 5/4
To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.
Step-by-step explanation:
Isolate your variable (z) by multiplying both sides of the equation by 5/3.
z> 5/4
Select the values that make the inequality u≥ -7 true.
Answer:
Well u could be -7 or anything higher than that.
PLZZZZ HELP BRAINLYEST AND 100 POINTS
Identify the number of real and imaginary solutions for: f(x)=x4+3x3+2x−6
(Write answer as a number, not a word)
Imaginary=
real=
Answer:
2 imaginary; 2 real
You can factor it as ...
f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares
= (x -4)(x +4)(x^2 +1)
The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.
Step-by-step explanation:
Hope this helps:)
Can someone please help with my math homework? this is so confusing.
Pls,
Find the area of the
parallelogram below.
8 cm
12 cm
Answer: Area = 96 cm squared
Explanation;
base x height = area
Base = 12
Height = 8
12 x 8 = 96
For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.
a) x = 4/3, Equation: 3x^2 + 5x - 12=0
b) x=1 + square root 6 , Equation: x^2 - 2x-5=0
c) x= 1 + 2i, Equation: x^2 - 2x+5=0
a.
The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.
So, 3x² + 5x - 12 = 0
Substituting x = 4/3, we have
3(4/3)² + 5(4/3) - 12
= 3(16/9) + 20/3 - 12
= 16/3 + (20 - 12 × 3)/3
= 16/3 + (20 - 36)/3
= 16/3 - 16/3
= 0
So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
b.
The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x - 5 = 0
Substituting x = 4/3, we have
x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5
= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5
= 1 + 2√6 + 6 - 2 - 2√6) - 5
= 2√6 + 6 + 1 - 2√6) - 5 - 5
= 2√6 + 7 - 2√6) - 7
= 2√6 - 2√6 + 7 - 7
= 0 + 0
= 0
So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
c.
The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x + 5 = 0
Substituting x = 1 + 2i, we have
x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5
= (1² + 2(2i) + (2i)²) - 2 - 4i + 5
= 1 + 4i - 4 - 2 - 4i + 5
= 4i + 1 - 4 - 2 - 4i + 5
= 4i - 5 - 4i + 5
= 4i - 4i + 5 - 5
= 0 + 0
= 0
So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Learn more about quadratic equations here:
https://brainly.com/question/11982012
Hi guys mind helping me with this
Answer:
i actually have the same question
Step-by-step explanation:
Answer:
the bearing is 290°
Step-by-step explanation:
firstly complete those compass directions (just to make it easier for you). find the remaining angle on A which is 110°. subtract 90° from it and get 20°. using the concept of alternating angles. then add from the North to where the line connecting B n A is, 270°+20°=290°
It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?
Answer:
$139 463.95
Step-by-step explanation:
100% - 4.6% = 95.4%
95.4% ÷ 100 = 0.954
0.954 --> decimal multiplier
$185 000 × 0.954^6 = $139 463.95
Hope this helps! <3
P= ?????????
Pls help and explain
Check the picture below.
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Third one down
Step-by-step explanation:
Each square below represents one whole ……. What percent is represents by the shade area ?
hey yall it's holiday season and I want to wish you all a good Christmas and Thanksgiving anyways what is your favorite nintendo game?
Answer:
Merry xmas bro
Step-by-step explanation:
fav nintendo game is the first mario
What is the slope of the line on the graph?
Answer:
slope: 4/12
Simplified to: 1/3
Negative slope so: -1/3
Y intercept:4
Form: Y=mx+b
Y=-1/3x+4
Write the equation of the line in Point-Slope Form given the information below.
Slope=7
Point=(1,4)
Answer:
Step-by-step explanation:
y - 4 = 7(x - 1)
y - 4 = 7x - 7
y = 7x - 3
How do you figure out a missing number in an input and output table?
Answer:
- we can find the slope of the equation for the table and then plug in values into y = mx+b to find the full equation
Step-by-step explanation:
A family buys a studio apartment for $140,000. They pay a down payment of $28,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would a $7,000 down payment be?
Answer:
$their down payment is $280 the percentage of the purchase is $2.8
the sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value of n
badly need this rn
Answer:
Step-by-step explanation:
Sum of first n terms = 243
[tex]a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9[/tex]
can someone plz help with this FAST
I WILL MARK BRAINLIEST
Answer:
42 times
Step-by-step explanation:
lets say the number of times they flew on saturday was x, so we have 34 + 2x = 118. subtract 34 from both sides to get 84. so 2x=84. divide by 2 to get x=42
Answer:
B) 42
Step-by-step explanation:
friday - 34 times
saturday - 'x' times
sunday - 'x' times
34 + x + x = 118
34 + 2x = 118
2x = 84
x = 42
I need help asap!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1/2 yd 5/3 yds The first one
Step-by-step explanation: