[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]
The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
cosec(θ)=−5 for interval [−π/2,π/2].
We know Sinθ=1/cosecθ
Cosecθ=1/sinθ
Now cosec(θ)=−5
-5=1/sinθ
sinθ=-1/5
θ=sin⁻¹(1/5)
θ=sin⁻¹(1/5)
θ=-11.54⁰ or 348.86⁰
Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
To learn more on trigonometry click:
https://brainly.com/question/25122835
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PLS ANSWER THE PICTUREEE
Answer:
1.12
2.11
3.19
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Pa brainliest po
Write the equation of a line that has a
slope of 7, and passes through the
point (-2,5). Show your work.
Answer: Y=7x+19
Step-by-step explanation:
got no time for explain hope this helper
9514 1404 393
Answer:
y -5 = 7(x +2)
Step-by-step explanation:
Values for the slope and a point are given. That makes it convenient to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = 7(x +2) . . . . . . line with slope 7 through point (-2, 5)
__
Sometimes, you want the slope-intercept form of the equation. That can be found by solving for y
y -5 = 7x +14 . . . . . . . . eliminate parentheses
y = 7x +19 . . . . . . . . . . add 5 to both sides
__
In standard form, the same line has equation ...
7x -y = -19
Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions
(1/3) ² +1 and 2 - 8/9
(1+ 1/5)^2 and 2
16/25
Equations are expressions with equal values
(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign(a) (1/3) ² +1 and 2 - 8/9
Rewrite as:
[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]
Evaluate the exponent
[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]
Take LCM
[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]
[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]
Simplify
[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]
Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign
(b) (1+ 1/5)^2 and 2 16/25
Rewrite as:
[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]
Take LCM
[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]
[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]
[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]
Rewrite as:
[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]
Hence, (1+ 1/5)^2 and 2 16/25 do not form an equation when joined together with an equals sign
Read more about equations at:
https://brainly.com/question/13636476
Answer:
(1/3)^2 + 1 and 2 - 8/9 : Yes
(1 + 1/5)^2 and 2 - 16/25 : No
A rectangular garden is 20ft longer than it is wide. It’s area is 6300ft^2. What are its dimensions
Answer:
Length = 90 feet
Width = 70 feet
Step-by-step explanation:
The area of a rectangle is found by finding the product of the length. Therefore, the following formula equation can be made:
[tex]A=lw[/tex]
The problem tells us that the area of the garden is 6,300 square feet and that the length is 20 feet longer than the width. Therefore, our equation can be rewritten as such:
[tex]6300=(w+20)(w)~or~6300=w(w+20)[/tex]
Now that there are no longer two different variables, we can solve for w.
[tex]6300=w(w+20)\\\\6300=w^2+20w\\\\0=w^2+20w-6300[/tex]
We are left with a trinomial so we'll use the quadratic formula to further solve for w.
[tex]w=\frac{-20\pm\sqrt{20^2-4(1)(-6300)} }{2(1)}\\\\w=\frac{-20\pm\sqrt{400+25200} }{2}\\\\w=\frac{-20\pm\sqrt{25600} }{2}\\\\w=\frac{-20\pm160}{2}\\\\\\w=70\\or\\w=-90[/tex]
Since distance cannot be negative, w = -90 cannot be a solution for this problem. Therefore, the width of the rectangular garden is 70 feet.
Now that the width has been found, we know the length is 20 feet longer than it. Therefore, the length is 90 feet.
What is the slope of the line on the graph?
Answer:
Step-by-step explanation: to find the slope rise over run
Acute triangle from one point to the other
Answer 4/11
The current temperature is 10 °C. Convert this to °F.
Answer:
50 F
Step-by-step explanation:multiply the temperature in degrees Celsius by 2, and then add 30 to get the (estimated) temperature in degrees Fahrenheit
Answer:
50 °F
Step-by-step explanation:
(Temperature in °C * (9/5)) +32 is the formula to convert from Celsius to Fahrenheit
you can also use G o o g l e btw :)
The probability that a man will be alive in 25 years is 3/5. and the probability that his wife will be alive is 2/3. Determine the probability that in 25 years:
a. both will be alive
b. at least one will be alive
c. only the wife will be alive
Answer:
e
Step-by-step explanation:
chicken nuggets
A) 6/25
B) 13/15
C) 4/15
Explanation:
A) P(both will be alive) = (3/5)(2/5) = 6/25
B) P(at least one will be alive) = 1-P(both die) = 1-(2/5)(1/3) = 13/15
C) P(only the wife will be alive)=(2/5)(2/3) = 4/15
What is the value of w?
Answer: b = 89
Step-by-step explanation:
1. Use Supplementary Angles
180 - (b + 33)
180 - b - 33
147 - b
2. The Angles in a Triangle add up to 180.
147 - b + b - 7 + b - 49 = 180
91 + b = 180
b = 89
Hope it helps :) and let me know if you want me to elaborate.
Evaluate −|a| when a=60.
Answer:
-60
Step-by-step explanation:
Any number within the absolute value sign is always positive.
−|60|
- x 60 Negative sign times 60
=-60
Hope this helps :)
evans uncle bought 2 1/4 pounds of hamburger meat and used 1/3 of it to make lunch. How much hamburger meat did evans uncle use to make lunch?
Answer/Step-by-step explanation:
To find the answer subtract 2 1/4 by 1/3
there are 5 major train tracks from city x to city y and 3 major train tracks from city y to city z. how many trips can be made from city x to city z, passing through city y?
Answer:
3 trips
Step-by-step explanation:
I think it is three trips because 3 out of the 5 train tracks from city x were found in city y, therefore only 3 train tracks will be found in city z so there are 3 trips
A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sold
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Answer:
105 psychology textbooks. 189 physics textbooks.
An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.
Answer:
486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3
Step-by-step explanation:
PLEASEEEE HELP! MY MOM IS GONNA KILL ME
Answer:
16
Step-by-step explanation:
Since the perimeter of the rectangle is 80, we can set up the perimeter formula:
80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10
10x=70
x=7
AB=2x+2=2(7)+2=14+2=16
Answer:
AB= 16
Step-by-step explanation:
2x+2+3x+3=40
Add like terms: 2x+3x= 5x and 2+3=5
New equation: 5x+5=40
Solve: 40-5= 35
35 divided by 5= 7Now we know that x is equal to 7.
2(7)+2= 16
Side DC equals 16.
Side AB has the same length as side DC since it's a rectangle.
Side AB equals 16.
Let's check: 16+16=32 (side DC and side AB)
80-32=483(7)+3= 2424 must be the length of the other sides.
24+24= 48So, when you add all the sides together...
16+16+24+24= 80
You get 80, the perimeter!
I hope this helped!
Your team wins 24 medals . The medals are Gold, silver and
bronze in a ratio of 1:1:6. How many of each did your team win ?
symbol. Write your answer in your notebo and اله 1. 7 is added to the sum of 7 3 2. 2 - subtracted from 11 is equal to 8 1 4 4 3. The total of 8 - and 11 7 14 1/2 and D
Answer:
X=5/2
4(x+2)2=36
(4x+8)2=36
8x+16=36
8x=36-16
8x=20
X=20/8
X=5/2
Step-by-step explanation:
Hope this helps:)
find ()
(x).
For f(x) = 4x +1 and g(x) = x2-5, find
BRAINLIST
Answer:
D. (4x + 1) / (x² - 5), x ≠ ±√5Step-by-step explanation:
Given:
f(x) = 4x + 1 and g(x) = x² - 5Find {f/g)(x):
(f/g)(x) = f(x) / g(x) = (4x + 1) / (x² - 5)Since denominator can't be zero:
x² - 5 ≠ 0 ⇒ x² ≠ 5 ⇒ x ≠ ±√5Correct choice is D
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.
Identify which graph below contains the coordinate points (–3, 4),(–2, 0), and (0, –8). Select all that apply.
Answer:
A, C, D
Step-by-step explanation:
All of the plot curves contain (0, -8) and (-2, 0)
B doe NOT contain (-3, 4), though the plot lines seem kind of fuzzy and other curves may miss, but not by much.
Answer:
Graph A , B, and D
Step by-step explanation:
All the points are one these three graphs.
what is the sum of 6/12 and 1/2
A.3/12
B.9/12
C.12/12
D.13/12
PLZZZZ HELP I WILL GIVE BRAINLIST
Answer:
1/2
Step-by-step explanation:6/12 is 1/2 of the fraction meaning that 6/12 is = to 1/2.
Answer:
12 / 12
Step-by-step explanation:
LCM of 12 and 2 = 12
1 / 2
= ( 1 / 2 ) x ( 6 / 6 )
= ( 1 x 6 ) / ( 2 x 6 )
= 6 / 12
6 / 12 + 1 / 2
= 6 / 12 + 6 / 12
= ( 6 + 6 ) / 12
= 12 / 12
1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round
Answer:
c.
Step-by-step explanation:
Plug in -2 for x ....
f(x) = -2^3 - 7(-2)^2 + 3
= -8 - 28 + 3
= -36 + 3
= -33
Plug in 3/4 for x ....
f(x) = 3/4^3 - 7(3/4)^2 + 3
= 27/64 - 63/16 + 3
The put in decimals ....
27/64 = .422
63/16 = 3.938
Put the decimals back into the equation ....
= .422 - 3.938 + 3
= -3.516 + 3
= -.516
Pete worked 44 hours and 30 minutes on his new job. He makes $9.86 per hour. For each hour of overtime, he earns time and a half. How much will he earn for one week?
Answer:
$460.955 ≈ $460.96
Step-by-step explanation:
A work week is 8 hours × 5 days = 40 hours per week. Pete worked 44 hours and 30 minutes which is 44.5 hours. This tells you that Pete worked 40 hours at regular paid and 4.5 hours of overtime at a rate is his amount per hour plus half of his amount per hour). So Pete earns $14.79 per hour for overtime rate ($9.86 + $4.93 = $14.79) .
Earning for the week: 40 × $9.86 + 4.5 × $14.79
= $394.40 + $66.555
= $460.955 ≈ $460.96
If
x
=
2
and
y
=
6
, evaluate the following expression:
2
(
y
−
x
)
Answer:
8
Step-by-step explanation:
x =2, y=6
2(y-x)
#subsitute the variables with their values
2*(6-2)
2*4
8
Alternative(don't do it this way, it's unnecessary but it can be done):
x =2, y=6
2(y-x)
2y - 2x
(2*6) - (2*2)
12 - 4
8
yo if someone helps me with this ill give u brainliest
Answer:
Step-by-step explanation:
a 15090
b 4255
c dairy heifers and bulls
d 9975/15090
e how many steers there are compared to bulls
Answer:
a) 15,090, addition
b) 4,255, subtraction
c) bulls and beef heifers for breeding
d) 5115/15,090 or 15/90
e) How many more calves are there than steers?
3930
Step-by-step explanation:
what number multiplied by 5 9 has a product of 1
Find the surface area of the sphere.
Answer:
R is 4*Pi*R2
The ratio of trees to shrubs is 5:2. How many shrubs are there for 30 trees?
Answer:
30:12
Step-by-step explanation:
The beginning ratio is 5:2, trees to shrubs.
For every five trees, there are two shrubs.
So here is how we are going to solve the problem, since we are trying to figure out the amount of shrubs for 30 trees, we are going to divide 30 by 5 then once we've found out the quotient, we are going to multiply the quotient by two to get our amount of shrubs.
30 ÷ 5 = 6
6(2)=12
To conclude, for 30 trees there are 12 shrubs.
PLEASE HELP!
Jim wants to build a rectangular parking lot along a busy street but only has 1,800 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.
The largest area would be a square shape.
A square has 4 equal sides:
1800/4 = 450
Now because the street side doesn't have fencing, add that side length to one side of the fencing:
450 +450 = 900
Now the fence would have two widths of 450 feet and one length of 900 feet.
Area = length x width = 450 x 900 = 405,000 square feet.
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Nick wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 6.5%.
Calculate the amount of sales tax Nick will pay on the purchase. Round to the nearest cent if necessary.
sales tax: $
Part B
Fill in the blank question.
How much will Nick pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.
total cost: $
Answer:
Step-by-step explanation:
A) $155.75(0.065) = 10.12375 = $10.12
B) $155.75 + $10.12 = $165.87
Find the area of a rectangle with sides measurements 8 inches and 17 inches
Answer:
136 inches or 354.44cm
Step-by-step explanation:
17*8 = 136
Answer:
136 inches
Step-by-step explanation:
17 X 8 = 136 inches