Answers
Answer:
[tex] x = \frac{\sqrt{6}}{2} [/tex]
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(45) = \frac{x}{\sqrt{3}} [/tex]
Multiply both sides by √3
[tex] \sqrt{3}*sin(45) = x [/tex]
[tex] \sqrt{3}*\frac{\sqrt{2}}{2} = x [/tex]
[tex] \frac{\sqrt{3*2}}{2} = x [/tex]
[tex] \frac{\sqrt{6}}{2} = x [/tex]
Related Questions
Add. Simplify the answer and write it as a mixed number. 7/18 + 2/9 + 5/6
Answers
Answer:
1 1/18
Step-by-step explanation:
Answer:
Decimal:1.4simple form:13/9 mixted:1 and 4/9
Step-by-step explanation:
Mrs. Pearce conducted a survey in her class on the ages of famous people. The table below shows the results of her survey. Guess Actual Age 15 28 25 28 39 50 36 24 42 56 45 72 80 Which equations could best represent the line-of-best-fit for the given data set?
Answers
Answer:
y=1.19x-4.3
Step-by-step explanation:
I did the math
Answer:
just here to steal some old points! sorry and thanks
Step-by-step explanation:
Write the expression below as a product of two factors.
6 + 8 + 4
Answers
Answer: Factor out the GCF of 6, 8, and 4: 2
2(3m + 4n + 2)
Expression A: 3(x + 2)Expression B: 3x + 6Which statement does not show that these expressions are equivalent?A.Both expressions involve addition.B.Substituting any value of x makes the expressions equivalent.C.3(x + 2) can be rewritten as 3x + 6 using the distributive property.D.The expressions name the same number regardless of the value of x.
Answers
Answer:
C.3(x + 2) can be rewritten as 3x + 6
Step-by-step explanation:
Given 3(x+2)
Evaluating the expression by opening the parenthesis;
3(x+2) = 3(x) + 3(2) Distributive law
3(x+2) =3x + 6
Hence 3(x+2) is equivalent to 3x+6
Hence the correct answer is C.3(x + 2) can be rewritten as 3x + 6
Which of the following lists does not include all the factors of the number?
4: 1, 2,4
10: 1, 2, 5, 10
5: 1,5
21: 1, 21
Answers
The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with mean μ. You select a simple random sample of four plants of this variety and measure the time until maturity. The four times, in days, are as follows: 63 69 62 66 with standard deviation 3.16.
Required:
Calculate the 99% confidence interval for population mean μ. Find the closest answer
Answers
Answer: 60.93 < μ < 69.07
Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.
To find the interval, use
x±[tex]z\frac{s}{\sqrt{n}}[/tex]
z is z-score related to the % of confidence level
In this case, a 99% confidence interval is 2.576
x is sample mean
Calculating:
[tex]x=\frac{63+69+62+66}{4}[/tex]
x = 65
65±[tex]2.576\frac{3.16}{\sqrt{4}}[/tex]
65±4.07
Confidence Interval: 60.93 < μ < 69.07
Meaning that we are 99% sure the population means is between 60.93 and 69.07.
Which inequality is true
Answers
The higher the negative number is the lesser it gets.
0=x^2+4x+1. Khan academy
Answers
(x−2)=5
x=5+2
x=7
if Brian is 24 years old and his sister is 16 years old. how old is Brian to his sister.
and if Brian's mother is 56 years old how is his mother to his sister. if
Brian's mother is 56 how old is his mother to his sister.
if their father is 63 how old is he to the mother Brian's mother and Brian.
is the mother related to the sister. how old is the sister to the mother and the father. band uncle is 84 how old is he to Brian's mother sister father and to himself. last question how old is other ages add together. who is the oldest
Answers
Answer:
1. 3:2
2. 7:2
3. 63:56:24
4. 16:56:63
5. 84:56:16:63
the ages added up is 219
the uncle is the oldest
Step-by-step explanation:
I'm answering by ratios because I'm not exactly sure what you mean.
24:16 = 6:4 = 3:2
56:16 = 7:2
63:56:24 is already in its simplest form I think??
16:56:63 also in its simplest form
84:56:16:63
the ages added up is 219
the uncle is the oldest
A band expects to put 16 songs on their next CD. The band writes and records 12.5% more songs than they expect to put on the CD. During the editing process,50 % of the songs are removed. How many songs will there be on the final CD?
Answers
Which statement best explains whether the table represents a linear or nonlinear function?
Input (x) −2 −5 −8 −11
Output (y) 7 4 1 −2
A It is a linear function because there is a constant rate of change in both the input and output values.
B It is a nonlinear function because there is a constant rate of change in both the input and output values.
C It is a linear function because the input values are decreasing.
D It is a nonlinear function because the input values are increasing.
Answers
Answer:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation: I took the test
Bill takes a loan of $9000 at a 8% simple interest rate for 6 years.
A. How much interest will he pay after 2 years?
B. How much interest will he pay in total for the loan?
a. $ 720.00; $3,600.00
b. $36,000.00; $ 12,000.00
C. $1440.00; $4,320.00
D. $ 1,408.00; $4,224.00
Answers
Answer: you have to divide
Step-by-step explanation:
Can someone please help, ty!!
(Will mark brainliest)
Answers
Answer:
Arcadia
Step-by-step explanation:
the line in the box is the median and Arcadia is bigger than Millersburg
What is the solution to the inequality 7<=-3x-4
Answers
Answer:
The nearest option is -3 (negative 3)
So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality [tex]7 \leq -3x-4[/tex]
Solving:
Step 1: Switching sides of inequality and reversing the inequality
[tex]-3x-4\geq 7[/tex]
Step 2: Adding 4 on both sides
[tex]-3x-4+4\geq 7+4\\-3x\geq 11[/tex]
Step 3: Dividing both sides by -3 and reversing the inequality
[tex]\frac{-3x}{-3}\leq \frac{11}{-3} \\x\leq -3.6\\[/tex]
The nearest option is -3 (negative 3)
So, Option B is correct.
Find the value of X. Geometry!!!
Answers
Answer:
D. 19
Step-by-step explanation:
x+5 has to equal half of the base(3x-9)
I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24
48/2=24 Therefore, the answer is D, 19
simply 3pq+5pr-2qr+qp-6rp
Answers
Answer:
The answer is 4pq−pr−2qr
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
Answers
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answers
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
Help meeeeeee! If it’s correct you will get a something good!
Answers
Answer:
24/4=6
Step-by-step explanation:
In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.
HTH :)
identify the equation of the line having a slope of -3 and a y- intercept of 7
A y + -3x +12
b y = 3x - 7
c y = 3 + 7
d y = -3x + 7
Answers
Answer:
D.
Step-by-step explanation:
We can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We know that the slope is -3.
And the y-intercept is 7.
Hence, we will substitute -3 for m and 7 for b. This yields:
[tex]y=-3x+7[/tex]
Therefore, our answer is D.
how many miles can you drive in 1/2 hour
Answers
Answer:
2 miles
Step-by-step explanation:
it depends on how many hours per hour but 2 miles would be the average answer.
hope this helps. have a good day. :)
what is descriptive language
Answers
a submarine starts 800m below the surface of the ocean. It rises at a rate of 40m / min for 15 minutes. How much more does the submarine need to rise to reach 50m below the surface?
Answers
In 2004, an art collector paid $ for a particular painting. The same painting sold for $ in 1950. Complete parts (a) through (d). a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950.
Answers
Answer:
The value of k is 0.149.
Step-by-step explanation:
The complete question is:
In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27,000 in 1950. Complete part (a) through (d)? (a) Find exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting’s value, in dollars, t years after 1950.
Solution:
The exponential growth function can be expressed as follows:
[tex]y=a\cdot e^{kt}[/tex]
y = Final value after t years
a = initial value
It is provided that:
y = $84,275,000
a = $27,000
The value of t from 1950 to 2004 is, t = 54
Compute the value of k as follows:
[tex]y=a\cdot e^{kt}[/tex]
[tex]84,275,000=27,000\times e^{54k}\\\\e^{54k}=\frac{84275000}{27000}\\\\54k=\ln (\frac{84275}{27})\\\\k=\frac{1}{54}\times \ln (\frac{84275}{27})\\\\k=0.149[/tex]
Thus, the value of k is 0.149.
PLEASE HELP ME I NEED SO MUCH HELP
Answers
Answer:
brainlist first
Step-by-step explanation:
Answer:
12)fx is the answer
Step-by-step explanation:
6th grade math I mark as brainliest
Answers
Answer:
false
Step-by-step explanation:
Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401
so
[tex]16^1[/tex] would just be sixteen because any number to the power of 1 is that number
[tex]8^2[/tex] is 8*8 which gives us 64,
16 does not equal 64, so its
False
Pls help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
Answers
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answers
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
To know more about Standard Equation of a Circle
https://brainly.com/question/13658927
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Bridget was thinking of a number. Bridget doubles it, then adds 15 to get an answer of 16.4. What was the original number?
Answers
Answer: 0.7
Step-by-step explanation:
16.4 - 15= 1.4
1.4 ÷ 2= 0.7
Hope this helps :)
The advertising sticker on Allen's
new car says it gets 36 miles per
gallon on the highway. The graph
represents the actual relationship
between the number of miles Allen
drove on the highway and the
gallons of gasoline his new car used.
How does the advertised gas
consumption rate compare to the
actual rate?
Answers
Answer:
Step-by-step explanation:
The rate in this case is slope of the line. The formula of a slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(10, 325)
(4, 130)
m = [tex]\frac{325-130}{10-4}[/tex] = [tex]\frac{195}{6}[/tex] = 32.5 miles per gallon
The actual rate is less (better) than advertising.