Answer:
cosθ = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Given
sinθ = - [tex]\frac{5}{13}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
This is a 5- 12- 13 right triangle
with opposite = 5, adjacent = 12 , hypotenuse = 13
since θ is in 4th quadrant then cosθ > 0
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex]
The trigonometric ratio of cos θ in quadrant IV is 12/13.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
Sin θ = -5/13, and
θ lies in the quadrant IV.
By trigonometric ratio,
[tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]
⇒ [tex]sin \theta = -\frac{5}{13}[/tex]
Here opposite side = 5 and
hypotenuse side = 13
The adjacent side can be calculated by using the Pythagoras theorem,
[tex]Hypotenuse^{2} = opposite^{2} +adjacent^{2}[/tex]
⇒ [tex]adjacent = \sqrt{hypotenuse^{2} -opposite^{2} }[/tex]
⇒ [tex]adjacent = \sqrt{13^{2} -5^{2} }[/tex]
⇒ [tex]adjacent = \sqrt{169 -25 }[/tex]
⇒ [tex]adjacent = \sqrt{144}[/tex]
⇒ [tex]adjacent = 12[/tex]
Thus [tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]
⇒ [tex]cos \theta = \frac{12}{13}[/tex]
θ lies in the quadrant IV, so cos θ > 0.
Hence we can conclude that the trigonometric ratio of cos θ in quadrant IV is 12/13.
Learn more about trigonometry here
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A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6. Describe in detail (using formulas and/or specific steps needed) TWO ways to find the maximum height reached by the ball.
Answer:
1) Using properties of the quadratic equation:
Here the height equation is:
h(t) = -16t^2 + 32t + 6
We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.
Then, the vertex of the quadratic equation will be the maximum.
Remember that for a general quadratic equation:
a*x^2 + b*x + c = y
the x-value of the vertex is:
x = -b/2a
Then in our case, the vertex is at:
t = -32/(2*-16) = 1
The maximum height will be the height equation evaluated in this time:
h(1) = -16*1^2 + 32*1 + 6 = 22
The maximum height is 22ft
2) Second method, using physics.
We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).
If the height equation is:
h(t) = -16*t^2 + 32*t + 6
the velocity equation is the first derivation of h(t)
Remember that for a function f(x) = a*x^n
we have that:
df(x)/dx = n*a*x^(n-1)
Then:
v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0
v(t) = -32*t + 32
Now we need to find the value of t such that the velocity is equal to zero:
v(t) = 0 = -32*t + 32
32*t = 32
t = 32/32 = 1
So the maximum height is at t = 1
(same as before)
Now we just need to evaluate the height equation in t = 1:
h(1) = -16*1^2 + 32*1 + 6 = 22
The maximum height is 22ft
In a z table of standard normal probabilities, the numbers in the table represent areas under the curve ____.
A) to the right of the z score
B) to the left of the z score
C) between the mean and the given z score
Answer:
B) to the left of the z score
a z score of 1 (1 sd above mean) is equal to .8413
that the the area to the left
Step-by-step explanation:
Can you help me with this?
The answer is A.
Step-by-step explanation:
Domain = all possible values of x
From the graph, we can tell that x can be any value as the graph goes on forever.
Hence Df = {x: x <== All real numbers}
Erin calculated the average speed of her most recent run to be 120/16 miles per hour how is this friction expressed as a decimal
Answer:
[tex]\dfrac{15}{2}[/tex]
Step-by-step explanation:
The average speed of the Erin is 120/16 mph
Here,
Numerator = 120
Denominator = 16
mph = miles per hour
We need to find an expression expressed as a decimal.
So,
[tex]\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}[/tex]
So, the final answer is [tex]\dfrac{15}{2}[/tex].
Helppppppppppppppppppp I’ll mark you brainlist write in y=mx+b if you answer in random answer you will be reported :)
Answer:
y = -3/4x
Step-by-step explanation:
Okey hey, hi, hello, all I want to know is how to put this dang thing on the number line but I have searched everywhere and no one can help me !!!!!!!!
Can you ?
Your graph would be correct if the given equation was |x| = 5
This is because |x| describes the distance x is from zero, and asking |x| = 5 means we want to find which values are 5 units away from zero: those two values being 5 and -5.
--------------
However, your teacher gave you instead |x| = -5. The distance cannot be negative, so |x| is never negative. Therefore, |x| = -5 has no solutions
The graph will simply be an empty number line with no points plotted on it.
The area of a square is 144 cm² what is the length of one side of the square
Answer:
12 cm
Step-by-step explanation:
The area of a square is given by
A = s^2
144 = s^2
Taking the square root of each side
sqrt(144) = sqrt(s^2)
12 =s
Answer:
The length of one side of square is 12 cm.
Step by step explanation
Given that :-Area of square is 144 cm ² .To Find :-Length of one side of squareSolution :-Finding the length of one side of square
Using formula,
Area of square = ( side)²
substitute the value
144 cm² = side²
Taking square root of both side.
√144 cm ² = √side²
12 cm = side
Hence,
The length of one side of square is 12 cm.
-4.3 + x equals 0 selected place on the number line to positive value of x
Answer:
x is equal to 4.3
Step-by-step explanation:
since it's -4.3 + x is equal to 0
you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3
Which expressions can be used to calculate the circumference of a circle? Select two choices.
Pi X Diameter
PI X Radius
Pi x Radius x Radius
2 x Pi x Radius
2 x Pi x Diameter
What is the solution to the inequality?
17 < 9 + x
A. x < 8
B. X26
C. x >8
O D. *> 26
Answer:
A. x<8
Step-by-step explanation:
17 < 9 + x
subtract 9 from both side
17-9 < 9-9 + x
8 < x
I hope it helps (✷‿✷)
PLEASE HELP ASAP BESTIES I WILL GIVE BRAINLIEST Express as a trinomial.
(2x – 9)(3x +4)
Answer:
6x²-19x-36
Step-by-step explanation:
im pretty sure this is correct
Find the radius of a circle with area 42 square feet
Answer:
Step-by-step explanation:
area of a circle=πr^2
42=3.14*r^2
42/3.14=r^2
13.37=r^2
[tex]\sqrt{13.37[/tex]=r
3.65=r
3.7=r
therefore radius of a circle is 3.7 ft
A bike ramp is in the shape of a right triangle. What is the height of the ramp? Ramp 10 ft 8 ft O A. 13 ft B. 36 ft O C. 18 ft O D. 6 ft
Answer:
D. 6 ft
Step-by-step explanation:
Area = nm? 6 mm b b b= mm pleas
e help
Answer:
what r u asking?
Step-by-step explanation:
5. Read the following list of professions:
(1 poing
• construction worker
• architect
• oceanographer
• roller coaster designer
• air traffic controller
Choose one of these professions (or another one that interests you) and describe how a person
with that job would use one of the mathematical concepts that you learned this semester.
Answer:
being an architect you would need to know roots and radical exspressions if a box has a volume of 288^3 and you need to find the length of each side you find the cube root of 288. the cube root of 288 is 6.6 whihc you could round to 7.
Step-by-step explanation: just took the refection 100% please mark brainlest
how many solutions are there to the equation below? sqrt x=-8
Answer:
None
Step-by-step explanation:
The square root of something can not be negative, and -8 is negative.
Solve for X:
-7x + 15 > -20
Answer:
14
Step-by-step explanation:
because when you solve the equation you subract 15 from both sides and then divide -7 from the answer
Answer:
x < 5
Step-by-step explanation:
-7x + 15 > -20Step 1 :- Move constant to the right-hand side and change their sign.
-7x > -20 -15Step 2 :- Calculate the difference.
-7x > -35Step 3 :- Divide both side of the inequality by -7 and flip the inequality sign.
-7x / x < -35 / 7x < 5What is the surface area of the sphere shown below? With the radius of 3.
Answer:
113.1
Step-by-step explanation:
Solution
A=
4
π
r
2
=
4
π
3
2
≈
113.09734
WILL GIVE BRAINLY Find the perimeter of the figure below, in meters.
(Note: diagram is NOT to scale)
Answer:
[tex]147.6\:\mathrm[/tex]
Step-by-step explanation:
The perimeter of a polygon is simply sum of the lengths of all sides of the polygon.
Therefore, we can find this polygon's perimeter by adding up the length of each of its sides:
[tex]9.8+9.8+11.7+9.8+21.5+21+11.7+9.8+31.3+11.2=\boxed{147.6\:\mathrm{m}}[/tex]
Since there is a lot to keep track of, I'd recommend picking any side and moving clockwise/counter-clockwise until you get all sides.
Pls help me with 5 I need a answer and a explanation
Answer:
72
Step-by-step explanation:
If x = 4 in 6(x+8) then the new expression is 6(4+8):
6*4&6*8
24+48
72
Monique wants to enlarge a 4" x 6" photo to frame and hang up. If the enlarged photo must have a
width of 3 feet, what is the height of the enlargement?
What type of number is [tex]\sqrt{ } 7[/tex]
It is an irrational number.
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many $5 bills does he have?
Help pls
Answer:
18
Step-by-step explanation
Let's say that the amount of 5 dollar bills is x and 20 dollar bills is y, with this we can make an equation
x + y = 24
With that we can say that
5x + 20y = 210
Because that is how much each bill costs and the amount of which will equal a total of 210
Solve this systems of equations using elimination
5x + 5y = 120
-5x - 20y = -210
-15y = -90
y = 6
Plug in y = 6 to the first equation.
x + 6 = 24
x = 18
18 is the amount of 5 dollar bills.
How much heat will be necessary to supply 0.25 kg of a substance with specific heat 0.2 cal / g · ºC, so that its temperature goes from 5ºC to 59ºc? Q = Q = Q = Q =
I have no idea but maybe if you would pay attention in class you would know how to do it. I just need my points so I can keep getting answers. good luck tho
John is a runner. He runs the 100m sprint in 10x6s. What speed did he travel
at? (in m/s)
Step-by-step explanation:
10x6s=60
100 divided by 60
=5/3 m/s OR 1.6666666666666666666 m/s
a. Name two different ways to name the plane shown in the figure.
b. Name any three collinear points in the plane.
c. Name any two intersecting lines in the given plane.
Answer:
A. Plane SXT, Plane PQR
B. Points S, R, and T
C. Line ST and Line PQ intersect [] Line PQ and Line YX intersect
Step-by-step explanation:
For the image below we decrypt ;
Plane: PQR , SXTCollinear points: S, R, TIntersecting lines: PQ, XY and STThis is further explained below.
What are Plane, Collinear points, and Intersecting lines?Generally, a Plane is simply defined as three noncollinear endpoints, two parallel lines,
If two or more points are located on the same straight line, they are said to be collinear.
In conclusion, Intersecting lines cuts across one or more lines to create an intercept
Read more about Intersecting lines
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Can someone help me out with this it's on desmos- ;-;
Round this value however you need to.
=====================================================
Explanation:
The given set of values is {11, 86, 46}
Add up the numbers to get 11+86+46 = 143
Then divide by 3 to get 143/3 = 47.667 approximately. We divided by 3 because there are 3 values in the given set.
An expression equivalent to 4 - 2 (x + 5)
Answer:
Answer
5.0/5
13
jack295
The answer is 8x +20
Answer:
14 - 2x
Step-by-step explanation:
4 - 2(x + 5)
4 - 2x + 10
14 - 2x
I NEED HELP ASAP WITH WORK SHOWN PLEASE GIVE ME AN ANSWER WITH WORK SHOWN Multiple choice questions The answers are 2.26,1.15,2.99,3.41
Step-by-step explanation:
porportional means they scale by the same ratio
L / W = L_1 / W_2 = 5.4 / 2.5 = 6.21 / x
solve for x
Answer:
Not sure but heres the proportional factor.
Step-by-step explanation:
The image is blurry and is hard to make out what the number for width is. However you can find the proportionality factor between the phones by dividing the large phone height by the small phone height. So 6.21in/5.4in, you get 1.15in, this means that the larger phone is 1.15in bigger than the smaller phone. Apply this number to the width and you will find the width of the larger phone since both phones are proportional. So you do width × 1.15 to get the width of the larger phone.
No links please......
Answer:
hopes this helps
Step-by-step explanation:
24/25