If sin theta = -2/3 which of the following are possible?
Answer:
a
Step-by-step explanation:
The possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.
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,
The trigonometric function, sin θ = -2/3
We know that [tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]
So, opposite = -2, hypotenuse = 3
The other side of the right triangle adjacent side can be found by using the Pythagoras theorem,
[tex]adjacent=\sqrt{hypotenuse^{2} -opposite^{2} }[/tex]
⇒ [tex]adjacent=\sqrt{3^{2} -(-2)^{2} }[/tex]
⇒ [tex]adjacent=\sqrt{9-4 }[/tex]
⇒ [tex]adjacent=\sqrt{5}[/tex]
Now, [tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex] and [tex]tan \theta = \frac{opposite}{adjacent}[/tex]
Then, [tex]cos \theta = \frac{\sqrt{5} }{3}[/tex]
[tex]sec \theta = \frac{1}{cos \theta}[/tex]
⇒ [tex]sec \theta = \frac{1}{\frac{\sqrt{5} }{3} }[/tex]
⇒ [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex]
[tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex]
Hence we can conclude that the possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.
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Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?
A)
42°
B)
48°
56
D)
589
Answer:
A
Step-by-step explanation:
please help, thanks if you do :)
Answer: (4,-2)
Step-by-step explanation: step1.- -1/2x=-x+2 (solving for x) x=4
Step 2- y=-1/2x4(substitute the value of X)
Step 3- y=-1/2x4 (solve the equation for y) =2
Step 4- (x,y)=(4,-2) simplify —>(x,y)=(4,-2)
Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
Need help with math who is uppppp brainlest and points pls hurry
Answer:
[tex]The~triangles~AED~and~ABC~are~similar.\\So,\\\frac{AD}{AB} = \frac{DE}{BC} [Corresponding~sides~of~similar~triangles~are~proportional.]\\or, \frac{30}{15} = \frac{34}{x} \\or, x = \frac{15(34)}{30} = 17inches[/tex]
y= 1/2x+ 2 to make the x the subject.
Answer:
[tex]x=2y-4[/tex]
Step-by-step explanation:
[tex]y=\frac{1}{2} x+2[/tex]
"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.
You start by subtracting 2 from both sides, you should get the following.
[tex]y-2=\frac{1}{2} x[/tex]
Then you multiply by 2 from both sides, you should end up with the following.
[tex]2(y-2)=x[/tex]
Therefore, you get the following.
[tex]x=2(y-2)[/tex]
Finally, you distribute and get the answer.
[tex]x=2y-4[/tex]
Isaiah is starting his own gardening business. Isaiah thinks he can charge $15.50 per hour. If he knows he
will only be able to work 140 hours per month (that's 35 hours per week), how much money will he earn
each month?
Answer:
About $1627.5
Step-by-step explanation:
15.50 x 35 = 542.5
542.5 x 3 (the amount of weeks in a month) = $1627.5
Solve for the variable A:
-22a = 418
Answer:
A = -19
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
mm²
Answer:
[tex]84mm^{2} [/tex]
I think this is true
Answer = 84
BECAUSE
8x6/2 for triangles (24)
x2 bc two triangles (48)
6x6 for square (36)
add it all = (84)
what is the equivalent property of 8(4x - 3)
Answer:
=32x−24
Step-by-step explanation:
The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year?
45.50 (StartFraction 7 over 10 EndFraction) = n
45.50 = 0.7 n
45.50 + n = StartFraction 7 over 10 EndFraction
45.50 = 0.7 + n
Answer:
45.50 (StartFraction 7 over 10 EndFraction) = n
Answer:
the correct answer on edge is B. 45.50=0.7n
Step-by-step explanation:
how many solutions xoes the equation x+8=x+8
Answer:
Infinity
Step-by-step explanation:
x+8 = x+8
-x . -x
8 = 8 = always true
An isosceles triangle has base angles that each measure 69o. Which equation can be used to find x, the measure of the third angle?
a
138 + x = 180
b
69 + x = 180
c
138 + 2x = 180
d
2x + 69 = 180
Answer:
a. 138 + x = 180
Step-by-step explanation:
Because the angles given are 69+69
which equal 138
and x being the missing angle
finally the total of all angles in a triangle = 180
The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months. The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. what is the cutoff point?321 474 461 548406 464 517 311534 425 377 505322 435 410 513499 354 307 363The cutoff point is ____minutes( round to the nearest minute)
Answer:
The answer is "717.25 minutes".
Step-by-step explanation:
In this question first, we arrange the value in ascending order that are:
307,311,321,322,354,363,377,406,425,435,461,464,474,499,505,513,517,534,548
The median is always in an orderly position that is [tex]= \frac{(n+1)}{2}[/tex].
[tex]\to \frac{(n+1)}{2} = \frac{(20+1)}{2} = 10.5[/tex] position orders
[tex]10^{th} \ and \ 11^{th}[/tex] place an average of observations so, the
[tex]Average = \frac{(425 +435)}{2} = \frac{(860)}{2} =430[/tex]
Because as medium stands at 10.5 that median is as below 10 are greater than the level.
[tex]Q_1[/tex] often falls throughout the ordered BELOW average is [tex]= \frac{(n+1)}{2}[/tex] place.
[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex]ordered position
Average [tex]5^{th} \ and \ 6^{th}[/tex] location findings
[tex]Q_1 = \frac{(354+363)}{2} = \frac{(717)}{2}= 358.5[/tex]
In [tex]= \frac{(n+1)}{2}[/tex] the ordered place, Q3 always falls ABOVE the median.
[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex] ordered At median ABOVE
Consequently [tex]Q_3[/tex] falls between [tex]5^{th} \ and \ 6^{th}[/tex] ABOVE the median position
[tex]15^{th}\ and \ 16^{th}[/tex]place average of observations
[tex]\to Q_3 = \frac{(499+505)}{2}=\frac{(1004)}{2} = 502[/tex]
[tex]\to IQR = Q_3 - Q_1= 502-358.5= 143.5[/tex]
[tex]\to \text{Upper fence} = Q_3 + 1.5 \times IQR= 502 + 1.5 \times 143.5 = 717.25[/tex]
Write formula for the following mathematical statement.
The force acting on a body is equal to the product of the mass of the body and the acceleration produced by it
Answer:
F=ma
Step-by-step explanation:
F is force and its measured in Newtons (N)
m is mass measured in kg
a is acceleration measured in metres per second per second
What is 5 1/2 is its simple form?
Help with all 3 ASAP
Answer:
The second one is right
The third one is wrong.
Prove: An odd times an odd equals an odd.
Answer:
4mn+2m+2n+1
Step-by-step explanation:
Hope I helped!
Answer: 4mn+2n+1
2(2mn+m+2)+1
Step-by-step explanation:
Solve the equation x² = 5. (must show equality properties in work so I can earn full credit)
A. x = 5
B. x = 25
C. x = √5
D. x = ±√5
The adjacent sides of a rectangle are -6p3+ 7p2q2+ pq and 7pq –5p3+ 9p2q2. Find its perimeter.
Answer:
its 938q2, your welcome!!!
Step-by-step explanation:
Instructions: Deconstruct the following conditional statement into its hypothesis and conclusion.
Conditional Statement: “If it’s raining, then there are clouds in the sky.”
Hypothesis:
Conclusion:
Rewrite the following polynomial in standard form
Answer:
[tex]-x^4-\frac{1}{10} x^2+1[/tex]
6y + 25 = 79
can you please help?
Answer:
y=9
Step-by-step explanation:
6y=79-25
= 6y= 54
= y=54/6
= y= 9
Escribevel numero decimal que corresponde alos puntos intermedios que indican las flechas
Answer:
cualeeeeeeeeeeeeeeeeeeeeees fffffleeeeeccccchhhhaaaasssss
solve the inequality. Graph the solution on a number line. 7<_2
Help please i have no idea how to do this please help
Answer:
pretty sure its d
Step-by-step explanation:
The population of a bacteria colony increased by p% each day for 4 days in a row.
The final population after 4 days was 5.0625 times the original population. What is p?
Answer:
Step-by-step explanation:
(1+p)^4 = 5.0625
1+p = 5.0625^0.25 = 1.5
p = 0.5
Shape p is translated to shape Q using vector (a b).
Write down the values of a and b.
Photo attached.
Answer:
the answer is:
a=-2
b=-4
Step-by-step explanation:
Shape P is translated to shape Q using vector [tex]\left[\begin{array}{ccc}2\\4\end{array}\right][/tex].
What is translation of a graph?"A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other."
Given, the shape P is mentioned on the graph.
Now, shape P is translated to shape Q.
Therefore, in order to reach Q from P, the shape needs to shift to the left 2.
After that the shape needs to shift downwards 4 places.
Therefore, the required vector is [tex]\left[\begin{array}{ccc}2\\4\end{array}\right][/tex].
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Lily charges $60 for 5 tutoring sessions. What is the cost PER session?
$60 divided by 5 = $12
$12 per session.
Pls mark me brainliest!
Answer:$12 per session
Step-by-step explanation: divide 60 by 5 you get 12.
5. If the cost of two tires is $130,56, how much will it cost to buy ten tires?
A. $1305.60
Tires
B. $652.80
C. $326.40
Cost
it would be A
Step-by-step explanation:
I'm good at math