If tan θ=1/4 and cos θ≤0, find the exact value of sin x
If you can answer this soon that would be great.
Answer:
Step-by-step explanation:
Tan(theta) = Sin(theta) / cos(theta)
1/4 = sin(theta) / sqrt(1 - sin^2(theta) ) Cross multiply
sqrt(1 - sin^2(theta)) = 4*sin^2(theta) Square both sides.
1 - sin^2(theta) = 16 * sin^4 (theta) Transfer the left side to the right side.
0 = 16 sin^4(theta) + sin^2(theta) - 1
Use the quadratic formula to find a value for sin^2(theta)
a = 16
b = 1
c = - 1
I'll leave solving the quadratic to you.
There are two answers
sin^2(theta)= .22069
The other root is - 0.28 which you cannot use.
Sin(theta) = +/- 0.4698
Cos(theta) is < 0 in quads 2 and 3
So sin(theta) is positive in quad 2
and sin(theta) is minus in quad 3
Please help me with this assignment!
Answer:
Since potential vice presidents are chosen before the election occurs, they are often selected partially due to their potential effect on the election. Presidential candidates often choose running mates who can capture key demographics or who have a high level of experience in an area that voters regard as important.
Step-by-step explanation:
When Houa was born her parents started a college fund for her. They initially put $3500 in the account. They saved in additional $550 per year. How much we have in
the account after 10 years?
Answer: 9000
Step-by-step explanation:
3500+5500=9000
5500=10years x 550/year
Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The balance that the account will have after 10 years is $9,000.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
When Houa was born her parents started a college fund for her. They initially put $3500 in the account. They saved an additional $550 per year.
Therefore, the balance of the account after 10 years is,
Balance after 10 years = $3500 + $550(Number of years)
= $3500 + $550(10)
= $9,000
Hence, the balance that the account will have after 10 years is $9,000.
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2 5/6 times 8 as a mixed number.
Answer:
lets make it an improper fraction:
17/6 x 8/1(consider 8 over 1) = 22 2/3
Simplify first though
17 x 8 divide by 2 = 4
_____
6 divide by 2 = 3 (8 and 6 are divisible by 2)
Your new simplified multiplication:
17 x 4
_____ then you can do your multiplication across.
3
Please, show some work
I can not see the photo
9514 1404 393
Answer:
A. x -4y
Step-by-step explanation:
The first expression factors as ...
= 2x(x -4y)
The second expression factors as ...
= 3x^2(x -4y)
Factors that are common between these factorizations are ...
x, (x -4y)
Of these, the one on your list of choices is ...
x -4y
Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP
Answer: (2,8)
Step-by-step explanation:
The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.
A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where x is cost of each friends meal.
6+ax=41
The cost of each friends meal in terms of a is?
The cost of each friends meal when the number of friends is 5 is $?
Answer:
36
Step-by-step explanation:
Answer:
The first answer is 35.
the second answer is 7.
Step-by-step explanation:
hope this helps you!
10. If 1000 cm = 1 l, find the capacity of the following water tank in litre
a) 1 = 200 cm, b = 150 cm, h = 100 cm
[tex] \large \boxed{volume = l \times b \times h}[/tex]
[tex]200 \times 150 \times 100[/tex][tex]3000000 \: \: cm {}^{3} [/tex]Through the statement above we have,
[tex] \small\mathrm{1000 \: cm³ = 1 \: \: }l[/tex][tex]\small\mathrm{1 \: cm {}^{3} = \dfrac{1}{1000} \: }l[/tex][tex] \small\mathrm{3000000 \: cm {}^{3} = 3000000 \times \dfrac{1}{1000} \: }l[/tex][tex] \small\mathrm{3000000 \: cm {}^{3} = 3000000 \times \dfrac{1}{1000} \: }l[/tex][tex]\small\mathrm{ 3000 \: \: litres}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
What is the slope of line a?
Given:
The graph of a line a.
To find:
The slope of the line a.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:
[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]
[tex]m=\dfrac{-3}{1}[/tex]
[tex]m=-3[/tex]
The slope of the line a is -3. Therefore, the correct option is C.
What does 5-10n equal ?
Is the relation a function? Why or why not?
Who’s can help me with this, it is to hard
Answer:
x = 10
MB = 16
CM = 16
CB = 32
Step-by-step explanation:
Since it's the mispoint
2x - 4 = x + 6
Subtract x from both sides
x - 4 = 6
Add 4 to both sides
x = 10
MB = 2x - 4
MB = 20 - 4
MB = 16
CM = x + 6
CM = 16
CB = 16 + 16
CB = 32
The table displays the amount of money Stephen has in his piggy bank.
Stephen's Piggy Bank
Types of Coins Amount ($)
Quarters 7.50
Dimes 6.00
Nickels 5.50
Pennies 3.00
Which answer choice does NOT accurately approximate a comparison between the value of
the dimes in the piggy bank and the total value of Stephen’s coins?
A. 6%
B. 3/11
C.6/22
D. 27%
Answer:
A.6% Is the correct answer... #:Carry on Learning... ^_^Answer:
A. 6%
Step-by-step explanation:
The is no step by step explanation sadly
Work out the mean for the data set below: 5, 6 Give your answer as a decimal.
Answer:
5.5
Step-by-step explanation:
5 + 6 =
11 / 2 =
5.5
the slope of the line joining points (3 ;2) and (0;a) is-1 determine the value of a
Given:
The slope of the line joining points (3,2) and (0,a) is -1.
To find:
The value of a.
Solution:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line joining points (3,2) and (0,a) is -1. So,
[tex]\dfrac{a-2}{0-3}=-1[/tex]
[tex]\dfrac{a-2}{-3}=-1[/tex]
Multiply both sides by -3.
[tex]a-2=-1(-3)[/tex]
[tex]a-2=3[/tex]
[tex]a=3+2[/tex]
[tex]a=5[/tex]
Therefore, the value of a is 5.
Which number line correctly shows the location of -1 1/2?
HURRY!!!!!!!
Given the number of times I walk around the lake. Find the number of miles I walked around the lake. Note: it is 2.6 miles around the lake, and if I start walking a lap, I must finish the lap because I have to get back to my car. I had to walk ON THE PATH, and cannot go backwards, only forwards. I won't deviate off the path, so it will ALWAYS take 2.6 miles to go around!
Write the function rule, where x is the independent variable, and y is the dependent variable.
a
x=2.6y
b
y=2.6x
c
x=2.6+y
d
y=2.6+x
Answer:
A. x= 2.6y
Explanation
Which expression is shown on the number line?
Answer: i think its e
Step-by-step explanation:......
Answer:
no.A 5/3÷×1/3 is the answer
Suppose that A, B, C, D, and E are matrices with the following sizes:
A B C D E
(4x 1) (4 x 1) (1 x 2) (2 x 1) (1 x 4)
Determine whether the matrix expression E (3B + A) is defined. Matrix is defined Enter the size of the resulting matrix (enter 'NA in each box if undefined).
E (3B + A) is a 3 X 3.
Answer:
The expression E (3B + A) is defined. The size of the resulting matrix is (1 x 1).
Step-by-step explanation:
Let's consider the following operations between matrices.
E (3B + A)
B is a matrix of (4 x 1), that is, it has 4 rows and 1 column. Let F = 3B. This is the product of a scalar by a matrix, which results in a matrix of the same size as the original. Then, F is a matrix of (4 x 1).
Now, let's consider the sum F + A, which we well call G. We can sum F and A because they are of the same size and we will get G, a matrix of the same size, (4 x 1).
Finally, we have the product E . G. We can multiply 2 matrices of sizes (m x k) and (k x n), that is, the number of columns of the first matrix must be equal to the number of rows of the second matrix, and the resulting matrix has a size (m x n). This is the case because E is (1 x 4) and G is (4 x 1), and the resulting matrix will be (1 x 1).
what is the x in x/5 +1 = 7
What is equivalent to 3^-5
Answer:
The answer is the choose: (D)
[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]
At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day
Answer:
Adult=58
Step-by-step explanation:
c=child, a=adult
6.4c+9.7a=1145 equation 1
c+a=149 equation 2
a=149-c modified equation 2 to isolate a
6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2
6.4c+1445.3-9.7c=1145
-3.3c=-300.3
c=91
solve for a
c+a=149
91+a=149
a=58
Check answer:
6.4c+9.7a=1145
6.4(91)+9.7(58)=1145
582.40+562.60=1145
1145=1145
what property is occurring in the following example? 11.5 + (- 11.5) = 0
A- Commutative
B- Associative
C- Addictive Inverse
D- Distributive Property
PLEASE I NEED ANSWERS!!
Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Step-by-step explanation:
A property where sum of any number and its inverse is equal to zero is called additive inverse property.
For example, 11.5 + (-11.5) = 0
Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.
Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Write an inequality for the graph
Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area as $213,200. The average home price in Orlando, Florida, is listed as $198,000. The mean of a random sample of 43 homes in the Texas metroplex was $217,800 with a population standard deviation of $30,300. In the Orlando, Florida, area a sample of 35 homes had a mean price of $204,700 with a population standard deviation of $33,800. At the 0.05 level of significance, can it be concluded that the mean price in Dallas exceeds the mean price in Orlando
Answer:
"0.0373" seems to be the appropriate solution.
Step-by-step explanation:
The given values are:
n₁ = 43
n₂ = 35
[tex]\bar{x_1}=217800[/tex]
[tex]\bar{x_2}=204700[/tex]
[tex]\sigma_1=30300[/tex]
[tex]\sigma_2=33800[/tex]
Now,
The test statistic will be:
⇒ [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]
On substituting the given values in the above formula, we get
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]
⇒ [tex]=\frac{13400}{7347.93}[/tex]
⇒ [tex]=1.7828[/tex]
then,
P-value will be:
= [tex]P(Z>1.7828)[/tex]
= [tex]0.0373[/tex]
what is the first step to solving this equation?
-5+6=4
a. subtract 6 from both sides
b. multiply both sides by 5
c. divide both sides by -5
d. add 6 to both sides
Answer:
a. subtract 6 from both sides
Step-by-step explanation:
Given the algebraic expression;
-5c + 6 = 4
First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.
-6 - 5c + 6 = 4 - 6
-5c = -2
5c = 2
Dividing both sides by 5, we have;
c = 2/5
Jessica is making cookies. Each batch requires 1/4 cups of sugar. If she has 3 cups of sugar, how many batches can she make total?
The polynomial f(x) is written in factored form:
f(x) = (x - 6)(x + 5)(x - 9)
What are the zeros of the polynomial function?
O x = 6, x = -5, X = 9
O x = 6, X = 5, X = 9
Ox= -6, X = 5, x = -9
Ox= -6, X = 6, X = -5, x= 5, X = -9, x = 9
15points please help
Answer:The zeros are 6, -5, 9
Step-by-step explanation:
The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.
What are polynomials?In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.
The zeros of the polynomial function are the values of x that make f(x) equal to zero.
The polynomial f(x) is written in factored form as:
f(x) = (x - 6)(x + 5)(x - 9)
The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:
x - 6 = 0, which gives x = 6
x + 5 = 0, which gives x = -5
x - 9 = 0, which gives x = 9
Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.
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I need help like right now. Im brain dead
Answer:
y-intercept: [tex](0,-\frac{5}{2} )[/tex]
x-intercept: [tex](-2,0)[/tex]
Step-by-step explanation:
Hi there!
Important things to note:
the y-intercept occurs when x=0the x-intercept occurs when y=01) Find the y-intercept
[tex]-5x-4y=10[/tex]
Substitute x with 0
[tex]-5(0)-4y=10\\0-4y=10\\-4y=10[/tex]
Divide both sides by -4
[tex]\frac{-4y}{-4} =\frac{10}{-4} \\y=-\frac{5}{2}[/tex]
Therefore, the y-intercept is [tex]-\frac{5}{2}[/tex]. When written in (x,y) form, x will always be 0 while y is the y-intercept:
[tex](0,-\frac{5}{2} )[/tex]
2) Find the x-intercept
[tex]-5x-4y=10[/tex]
Substitute y with 0
[tex]-5x-4(0)=10\\-5x-0=10\\-5x=10[/tex]
Divide both sides by -5
[tex]-5x=10\\\frac{-5x}{-5}= \frac{10}{-5} \\x=-2[/tex]
Therefore, the x-intercept is -2. When written in (x,y) form, x will always be the x-intercept while y is always 0:
[tex](-2,0)[/tex]
I hope this helps!
compute the value of the discriminant and give the number of real solutions of the quadratic equation
mag aral ng mabuti para may alm
Step-by-step explanation:
yan ang answer