First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.
Recall the Pythagorean identity:
sin²(θ) + cos²(θ) = 1
Then
sin(θ) = -√(1 - cos²(θ)) = -4/5
and so
tan(θ) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(θ) = 1/cos(θ) = 5/3
csc(θ) = 1/sin(θ) = -5/4
cot(θ) = 1/tan(θ) = -3/4
there are 40 students on a swim team.The coach needs to rent vans to take the team to a swimming competition.Each van can take 6 swimmers. how many vans will the coach need for 40 students.
Answer:
They will need 7 vans.
Answer:
The answer is 7 vans
Step-by-step explanation:
Divide 40/6
you get 6.6 so you just round up to 7.
The 7th bus will have less passengers but that is how many you will need for everyone to fit
Hope that helps
need help with questions 15 and 16 please
Answer:
#15: y = -5x -4
#16: y = 2/5x -4
Step-by-step explanation:
Lets start with #15:
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx -4
Pick another point and substitute its x and y values in this equation.
I chose (-1,1) and substituted as 1 = m(-1) -4
Isolate m:
1 + 4 = -m - 4 + 4
5 = -m
m = -5
The Equation in Slope Intercept Form is y = -5x -4
Let's do #16.
Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.
First we can locate the y-intercept, or where the line passes through the y-axis.
The y-intercept is -4.
Substitute in the Slope-Intercept Form Equation:
y = mx - 4
Pick another point and substitute its x and y values in this equation.
I used Fractional Points as Whole ones were not seen.
I chose (5/2,-3) and substituted as -3 = m(5/2) - 4
Isolate m:
-3 + 4 = 5m/2 - 4 + 4
1= 5m/2
m=2/5
The Equation in Slope Intercept Form is y = 2/5x - 4
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
what is the surface area
John says the transformation rule (x, y) Right-arrow (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
sample response: The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.
Answer:
The transformation rule should be applied to the pre-image. The application of the rule results in the point (8, 12). The transformation rule was applied to the wrong point.
Step-by-step explanation:
Help with this please
Answer:
$1.21 per song
Step-by-step explanation:
6 × $1.21 = $7.26
17 × $1.21 = $20.57
20 × $1.21 = $24.50
Which of the following is a solution of x^2+6x=-18
We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things
The Standard Form of a quadratic equation is ax² + bx + c = 0 If D > 0 , then the equation have two real and distinct roots/zeroes . If D = 0 , then the equation have two equal roots/zeroes .If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real rootsWhere , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;
[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]
Now , coming back on the question ;
We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;
[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]
[tex]{: \implies \quad \sf D=36-72}[/tex]
[tex]{: \implies \quad \sf D=-18}[/tex]
As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]
[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]
Y=6x-3 function rule
Answer:
f(x) = 6x - 3
Step-by-step explanation:
please explain how to do this
Answer:
27.4
Step-by-step explanation:
Use your calculator for this.
Remember, use SOH CAH TOA
We have an opposite (O) and an adjacent side (A), so we use SINE
sin(41)=18/X......following?
Now, solve for X by multiplying both sides by X......sin(41)(X)=18
Then, divide both sides by sin(41).
Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!
Answer:
x = 11.8
Step-by-step explanation:
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ sine 41 = [tex]\frac{18}{x}[/tex]
⇒ 0.656 = [tex]\frac{18}{x}[/tex]
multiply 18 on both sides:
⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18
⇒ 11.808 = x
round to the nearest tenth:
⇒ 11.808 = 11.8
John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.
Answer:
The cirumference would be 78.5.
24*pi would equal 75.5398163397 so just round that.
Hope this helped
Solve the system.
4x+2y+3z=12
2x−3y+5z=−7
6x−y+4z=−3
GIVING BRAINLIEST Find the surface area of the net below
Answer:
119
Step-by-step explanation:
1/2x5x7x4+7x7
can I have the brainliest ?
Answer:
119 m
Step-by-step explanation:
First find the square 7x7 = 49m
Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5
17.5 * 4 = 70m
70m + 49m = 119m
The Washington Monument is an obelisk with a square pyramid top. The slant height of the pyramid is 55.5 feet, and the square base has sides of 34.5 feet. Find the surface area of the pyramid.
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
First box: 12.56, second box: 12.56
Step-by-step explanation:
We know the volume (v) is 25.12
We know the base's area (b) is 12.56 (from the statement supplied)
What is the possible scale factor for the rectangle?
Answer:
A
Step-by-step explanation:
In February Liliana spent 35 hours watching Netflix. In march she only spent 18 hours watching. What was the percent decrease in the amount of time she spent watching?
Is the expression
3/4a (16b + 24) equivalent to 12ab + 18a?
SHOW YOUR WORK
Answer:
Yes they are equivalent.
Step-by-step explanation:
since 16 times 3/4 is 12 and a times b is ab. Put those together and you get 12ab. Since 3/4 of 24 is 18 and the variable is a, it is 18a. Hope this helped.
There are 5 marbles in a bag three are yellow 2 are blue Marcus is going to choose a marble without looking and Toss a coin what is the probability that he will pull out a yellow marble and his coin lands on tails write your answer as a fraction
Answer:
yellow
Step-by-step explanation:
Which of the following expressions is equivalent to (2x)3 ?
Group of answer choices
6x4
2x3
8x3
6x3
btw the numbers on the right are exponents
Answer:
6x3
Step-by-step explanation:
....................
Simplify: Square root of -16
4
4*4 = [tex]\sqrt{x}[/tex]16 not sure how it gets negative
Describe where the line of reflection is in this picture.
Answer:
the line is in the grass because it divides and reflects the sky and mountain.
Answer:
The line of reflection in the picture above is on the x-axis.
Step-by-step explanation:
The line of reflection is the mirror line; the line across which a figure is "flipped" and in this case, the line of reflection is on the x-axis.
How do i slove for x2 + 19 = 3
Answer:
x = ± 4i
Step-by-step explanation:
x^2 + 19 = 3
Subtract 19 from each side
x^2 +19-19 = 3-19
x^2 = -16
Take the square root of each side
sqrt(x^2) = sqrt(-16)
x = sqrt(-1*16)
x =sqrt(-1) * sqrt(16)
We know that the square root of -1 is the imaginary number i
x = ± 4i
The function y= -0.2 + 0.5 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.
A. Identify and intercept the x- intercept
B. Identify and intercept the y-intercept
Answer:
A
Step-by-step explanation:
intercept the x- intercept
Answer:
Step-by-step explain
x-intercept: 2.8 hours
y-intercept: 0.7 . . . . fraction of power remaining
Step-by-step explanation:
The equation is in slope-intercept form, so the y-intercept can be read directly: 0.7.
To find the x-intercept, set y=0 and solve for x:
0 = -0.25x +0.7
0.25x = 0.7 . . . . . add .25x
x = 2.8 . . . . . . . . . multiply by 4 (that is, the reciprocal of 0.25)
The x-intercept is 2.8; the y-intercept is 0.7.
PLEASE help, im trying to bring my grade up for this class.
Answer:
Yes, Nan pays $25 more
Step-by-step explanation:
144 hours /24 hours per day = 6 days exactly
$50 + (5 x $25) = $175
145 hours 24 hours per day = 6 days and one hour (must pay for 7 days)
$50 + (6 x $25) = $200
$200 - $175 = $25 more
how many one-digit integers are there
Jeremiah invested
$
800
$800 in an account that pays 3% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Jeremiah would have in the account 14 years after his initial investment. Round to the nearest tenth (if necessary).
Answer: 1210.1
Step-by-step explanation:
does anyone know this i will give brainliest
Answer: -324.4
Step-by-step explanation:
Write the equation in slope intercept form
A membership at Gisele’s Gym costs $145 to join and $3 for each visit. A membership at Freddie’s Fitness costs $75 to join and $5 for each visit. Which location has a lower total cost for different numbers of visits? Write each number of possible visits from the box into the correct column in the table to show whether one location has a lower total cost, or the same total cost as the other location.
Step-by-step explanation:
You can do the equation 145+3v for Gisele’s Gym
For Freddie’s Fitness do the equation 75+5v and put in the number of visits for v
For example, for 33 visits Freddie’s fitness has a lower cost than Gisele’s gym. You could do 3x33 + 145 = ? for Gisele’s gym, and do 5x33 + 75 for Freddie’s Fitness, and then compare which one has a lower cost. But technically I just gave you one answer and shown you what you could do.
I’m not particularly sure if I’m correct but that’s how I would do it, sorry for the long wait, if you have any questions you can ask me :)
The class was given a test that had a total of 125 points possible. A student then earned an 84% on the test. What are the total points that this student earned, out of the possible 125 points?
Help me please!!
Answer:
Step-by-step explanation:
84/100 = x/125
x = 105 points
which equation is represented by the phrase a number increased by 3 equals 10