Answers
Answer:
3/2
Step-by-step explanation:
Csc(theta) = 1/Sin(theta)
So we have to find the side opposite theta.
a = 3*sqrt(5)
b = ?
c = 9
a^2 + b^2 = c^2
(3sqrt(5)) ^2 + b^2 = 9^2
9*5 + b^2 = 81
b^2 = 81 = 45
b^2 = 36
sqrt(b^2) = sqrt(36)
b = 6
Sin(theta) = 6/9
Csc(theta) = 1 / sin(theta) = 9/6
Csc(theta = 3/2
Problem 3
Answer: 3/2=====================================================
Explanation:
Use the pythagorean theorem to find the length of the missing side.
[tex]a^2 + b^2 = c^2\\\\a^2 + (3\sqrt{5})^2 = 9^2\\\\a^2+3^2*(\sqrt{5})^2 = 9^2\\\\a^2 + 9(5) = 81\\\\a^2 + 45 = 81\\\\a^2 = 81-45\\\\a^2 = 36\\\\a = \sqrt{36}\\\\a = 6\\\\[/tex]
This is the length of the missing vertical side. This side is opposite the angle theta.
[tex]\csc = \text{cosecant}\\\\\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{9}{6}\\\\\csc(\theta) = \frac{3*3}{3*2}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
Alternatively, you can compute it like this
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{6}{9}\\\\\sin(\theta) = \frac{2}{3}\\\\\csc(\theta) = \frac{1}{\sin(\theta)}\\\\\csc(\theta) = 1 \div \sin(\theta)\\\\\csc(\theta) = 1 \div \frac{2}{3}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]
Related Questions
MN has the endpoints at M(3,7) and N(-9,3) what is the midpoint of MN?
Answers
M = ( X1 + X2) divided by 2 , (Y1 + Y2) divided by 2 = m=(x ,y)
So then, we plug in our numbers .
M= (3+ -9)/2 , (7+3)/2
M= (-3, 5)
find the volume of water which can fill a cubic shaped vessel with a side of 16cm in,
i. cubic centimeters
ii. cubic meters
iii. millileters
iv. litres
v. litres and milliletres
Answers
Answer:
litres bro
Step-by-step explanation:
yes the litres answer is correct
simplify 9(8x - 9) + 13x
Answers
Answer:
85x-81
Step-by-step explanation:
random word to fill up word counter
9(8x-9)+13x
72x-81 + 13x
Step 2 : combine like terms
72x-81 + 13x
85x-81
Final Answer ? 85x-81
3/4x + 4/7y = 5/4x -1...solve for y
Answers
Answer:
[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]
I hope I helped you^_^
−x2+6zy=
x=10, y=−2, and z=−5.
Answers
Answer:
- 40
Step-by-step explanation:
Substitute the given values into the expression
- x² + 6zy
= - 10² + 6( - 5 × - 2)
= - 100 + 6(10)
= - 100 + 60
= - 40
this is distance & midpoint formulas I don’t know how to solve this can anyone help?
Answers
Answer:
midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2
distance: √[(x₂ - x₁)² + (y₂ - y₁)²]
Step-by-step explanation:
What points are you trying to calculate the distance and the midpoint for?
Howard pays $327 for one dozen collector’s edition baseball cards. About how much does he pay for each baseball card?
Answers
Answer:
27.25$
Step-by-step explanation:
1 dozen is 12.
327$ ÷ 12 is 27. 25
Answer:
$27.25.
Step-by-step explanation:
327/12
= $27.25
A student pays 12.50 for headbands
Answers
Answer:
0=0
1=12.50
2=25
3=37.50
4=
Step-by-step explanation:
please help me! look at the image and answer.
Answers
Step-by-step explanation:
Find x-intercept (where line cuts the x axis) by substituting y=0.
Find y-intercept by substituting x=0.
Once you get those 2 intercepts, join them with a straight line.
You want to frame a picture that is 5in by 7in with a 2.5 inch-wide frame.
a. What is the perimeter of the pictures? What is the perimeter of the outside edge of the frame?
b. What is the area of the picture? What is the area of the frame?
Answers
Which of the choices shows these values arranged from greatest to
least?
.68% 2.43
12/6 2 over -3
Answers
Answer:
vdffdersewsesdfdresweseseseeerswesdsfd
Step-by-step explanation:
reterersesdvbvfdderereerereeeewwqwewereddddscdcvvbvfddewww
R is between Q and S. If QR = 33.4 and SQ = 80, find RS.
Answers
Hi! I'm happy to help!
To solve this problem, we need to find out what part isn't already listed.
We know that The entire line (SQ) is 80, and the part of the line that isn't RS (QR) is 33.4. The rest of the line must be the difference between 80, and 33.4. To find the difference we use subtraction:
80-33.4
44.6
So, RS is 44.6
I hope this was helpful, keep learning! :D
The calculated length of the segment RS is 46.6
How to determine the length of the segment RSFrom the question, we have the following parameters that can be used in our computation:
R is between Q and S.
QR = 33.4 and SQ = 80
using the above as a guide, we have the following:
QR + RS = QS
substitute the known values in the above equation, so, we have the following representation
33.4 + RS = 80
So, we have
RS = 80- 33.4
Evaluate
RS = 46.6
Hence. the length of the segment RS is 46.6
Read more about side lengths at
https://brainly.com/question/29135476
#SPJ3
The area A of the rectangle shown
is described by the inequality
12
compound inequality for x.
8x 3/4
Answers
Answer:
There are generally 3 methods to solve inequalities
Step-by-step explanation:
By algebraic method
Example 1: Solve: 2x - 7 < x - 5
2x - x < 7 - 5
x < 2
By the number-line method.
Example 2. Solve
f
(
x
)
=
x
2
+
2
x
−
3
<
0
First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 = - 3.
Replace x = 0 into f(x). We find f(0) = - 3 < 0. Therefor, the origin O is located inside the solution set.
Answer by interval: (- 3, 1)
--------------------- - 3 ++++++++ 0 ++++ 1 ----------------
3.By graphing method.
Example 2. Solve:
f
(
x
)
=
x
2
+
2
x
−
3
<
0
.
The graph of f(x) is an upward parabola (a > 0), that intersects the x-axis at x1 = 1 and x2 = - 3. Inside the interval (-3, 1), the parabola stays below the x-axis --> f(x) < 0.
Therefor, the solution set is the open interval (-3, 1)
graph{x^2 + 2x - 3 [-10, 10, -5, 5]}
Subtract. − 11 − ( − 6) brainliest
Answers
Answer:
-5
Step-by-step explanation:
− 11 − ( − 6)
= -11 + 6
= -5
Answer:
-5
Step-by-step explanation:
-11-(-6)
-11--6
NB: --=+
-11+6
-5
Therefore, the answer is -5.
Formula: 1/2 b*h b= 4; h=6
Answers
Answer:
12
Step-by-step explanation:
1/2•4•6 = (4•6)/2 = 24/2 = 12
which equation represents a liner function
Answers
Answer:
last choice y= 15 x + 10 is linear function
a text message plan costs $1 per month plus $0.41 per text. find the monthly cost for x text messages
the monthly cost of x messages is _ dollars
Answers
Answer:
Cost = $1 + $0.41x
Step-by-step explanation
Plz help will give brainliest
Answers
Answer:
8
Step-by-step explanation:
Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.
The ratio of two numbers is 7:8 .If the first number is 84. Find the second number.
Answers
Answer: The second number is 96.
Step-by-step explanation:
Let the second number be x
7/8 = 84/x
or, 7x = 672
or, x = 672/7
so, x = 96
Answer: The second number = 96
Step-by-step explanation:
Given information
Ratio = 7 : 8
First number = 84
Second number = x
Set proportion according to the given information
84 / x = 7 / 8
Cross multiply
7x = 84 × 8
7x = 672
Divide 7 on both sides
7x / 7 = 672 / 7
[tex]\boxed{x=96}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
You offered a SALARY job of $47,603, and you are expected to work 44 hours a week
What would your hourly rate be?
Answers
Answer:
$20.81
Step-by-step explanation:
There are 52 weeks in a year.
Let's say you get paid x dollars per hour. Every week, you get paid x dollars for each hour you work. If you work 44 hours, you get paid x * 44 dollars a week. We get paid x * 44 dollars each week for a year, for 52 weeks. We can represent this as (x*44) * 52 = x * 2288. This is the amount you get paid each year. Setting that to your yearly salary of $47,603, we have
$47603 = x * 2288
divide both sides by 2288 to isolate x
x ≈ $20.81
Room A is cleaned every 9 days. Room B is cleaned every 6 days. What is the fewest number of days that will pass before both rooms are cleaned again on the same day?
Answers
Answer:
on the 18th day
Step-by-step explanation:
LCM for 6 and 9 is 18 :)
Each number is two times three less than the previous number.
Answers
A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.
A sequence that starts with 0 is: 0, -6, -12, -18.....A sequence that starts with 3 is: 3, -3, -9, -15.....The complete question illustrates that we build a sequence of number.
Let the n term of the sequence be [tex]T_n[/tex].
2 times 3 less than the previous number means:
[tex]T_n = T_{n-1} - 2 \times 3[/tex]
Where:
[tex]T_n \to[/tex] The current number
[tex]T_{n-1} \to[/tex] The previous number
Assume the first number starts with 0, the next numbers will be:
[tex]T_2 = 0 - 2 \times 3 = -6[/tex]
[tex]T_3 = -6 - 2 \times 3 = -12[/tex]
[tex]T_4 = -12 - 2 \times 3 = -18[/tex]
So, the sequence is:
0, -6, -12, -18.....
Assume the first number starts with 3, the next numbers will be:
[tex]T_2 = 3 - 2 \times 3 = -3[/tex]
[tex]T_3 = -3 - 2 \times 3 = -9[/tex]
[tex]T_4 = -9 - 2 \times 3 = -15[/tex]
So, the sequence is:
3, -3, -9, -15.....
Read more about sequence at:
https://brainly.com/question/3649143
5 ducks to 30 geese
Answers
Answer:
6
Step-by-step explanation:
How do you solve for LMN? I keep getting 15
Answers
Answer:
60°
Step-by-step explanation:
90° = 6x
15° = x
60° = 4x
Answer:
60
Step-by-step explanation:
We know that LMO = 90
2x+4x = 90
6x = 90
Divide by 6
6x/6 = 90/6
x = 15
We want to find LMN = 4x = 4*15 = 60
Ella invests 4000 dollars for 3 years a rate of 1.2% per year compound interest. Calculate the value of her investment at the end of the 3 years.
Answers
Answer:
Answer is $4145.6
Step-by-step explanation:
formular for compound interest:
[tex]{ \bf{A = P( \frac{r}{100} + 1) {}^{n} }}[/tex]
P is the principle, P = $4000
r is rate, r = 1.2%
n is period, n = 3 years
A is the accumulative amount.
substitute:
[tex]{ \sf{A = 4000( \frac{1.2}{100} + 1) {}^{3} }} \\ \\ { \sf{A = 4000 \times 1.0364}} \\ { \sf{A = 4145.6 \: dollars}}[/tex]
f(x) = |6x| - 2 ; reflection in y-axis
write a function g whose graph represents the indicated transformation of the graph of f.
Answers
Hope this helps you. Thank you....
Using the reflection concept, it is found that the function g is given by:
[tex]g(x) = |6x| - 2[/tex]
-------------------
Reflecting a function f(x) over the y-axis is equivalent to finding a function g(x) defined by: [tex]g(x) = f(-x)[/tex]-------------------
In this question, the parent function is: [tex]f(x) = |6x| - 2[/tex]Reflecting over the x-axis:
[tex]g(x) = f(-x)[/tex]
[tex]g(x) = |6(-x)| - 2[/tex]
[tex]g(x) = |-6x| - 2[/tex]
Modulus is an even function, thus [tex]|-6x| = |6x|[/tex], and:
[tex]g(x) = |6x| - 2[/tex]
For more on reflections over the y-axis, you can check https://brainly.com/question/17686579
What is s²t-10 if s=-8 and t=[tex]\frac{3}{4}[/tex]
Answers
Answer:
38
Step-by-step explanation:
Substitute the given values into the expression
(- 8)² × [tex]\frac{3}{4}[/tex] - 10
= 64 × [tex]\frac{3}{4}[/tex] - 10
= (16 × 3) - 10
= 48 - 10
= 38
Answer:
38
Step-by-step explanation:
When [tex]s^{2}t-10[/tex], s = -8 and t = 3/4
= [tex]-8^{2} \frac{3}{4} - 10[/tex]
= 64[tex]\frac{3}{4}[/tex] - 10
= (16 * 3) - 10
= 48 - 10
= 38
Solve the formula for the indicated variable.
B = qt+q, fort
Answers
Answer:
Step-by-step explanation:
For what value of w is 4w = 2w - 8 ?
Answers
Answer:
w= -4
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
w is -4
Step-by-step explanation:
[tex]4w = 2w - 8[/tex]
make w the subject:
[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]
divide all sides by 2:
[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]
last one !! will mark brainliest
Answers
Step-by-step explanation:
1/2x + 10 = 1/4x + 54 Subtract 1/4x on both sides
1/4x + 10 = 54 Subtract 10 on both sides
1/4x = 44 Multiply both sides by 4
x = 176
9514 1404 393
Answer:
x = 176
Step-by-step explanation:
Clear fractions by multiplying by 4.
2x +40 = x +216
Subtract x+40.
x = 176