Given:
[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].
To find:
The quadrant.
Solution:
We know that,
In I quadrant, all trigonometric ratios are positive.
In II quadrant, only [tex]\sin \theta, \text{cosec}\theta[/tex] are positive and others are negative.
In III quadrant, only [tex]\cot \theta, \tan\theta[/tex] are positive and others are negative.
In IV quadrant, only [tex]\cos \theta, \sec\theta[/tex] are positive and others are negative.
We have,
[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].
Here, [tex]\tan \theta[/tex] is positive and [tex]\sec \theta[/tex] is negative. So, [tex]\theta [/tex] lies in the III quadrant.
Therefore, the correct option is C, i.e., III.
PLEASE HELP ASAP IT'S DUE TODAY Use the graph of the function below to answer the questions that follow.
Answer:
So for..
a. from: 2 to: 4
b. from: 0 to: 2 ( I believe this one, may be incorrect- sorry if so)
c. from: 6 to: 10 ( I believe also for this one, sorry if incorrect)
d. from: 5 to: 6 ( I beleive- that is what it looks like- sorry if incorrect)
e. They are staying at a constant rate, not changing, at rest...
Hope this helps!
Which algebraic expression represents this mathematical statement? 32 more than a number
A. m
B. s
C. d
D. x
The round off value of 10256/32548 up
to three decimal places
Is
Answer:
0.315
Step-by-step explanation:
10256/32548 is about 0.3151 (I used calculator)
0.3151 rounded to thousandth place is 0.315
Remember the rule when round, 5 and above, up, below 5, stay the same.
The number after 5 in 0.3151 is 1 and 1 is less than 5, so the 5 stays the same.
Hope I was able to help! Good Luck!
Fuel from PDV pump A costs four dollars per gallon and from PDV pump B costs two dollars per gallon. Mark has at most $24 to spend on fuel. Write and graph the system of linear inequalities.
Answer: asically plot down each from the least
Step-by-step explanation:
50 points please help!!!
Answer:
the answer would be B.
Step-by-step explanation:
it's the correct answer
Answer:
A
Step-by-step explanation:
I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers
7x^2a+7xa^2
Find the greatest common factor
Answer:
GCF is 7xa
Step-by-step explanation:
Answer:
hCf is 7ax
plz refer to the picture
plz mark as brainliest
(x^3+3x^2-x+2)/(x-1)
Answer:
x^2 + 4x + 3 with a remainder of 5
Can u pls help me with this question
Someone help me Solve x
Answer:
x=12Step-by-step explanation:
Hope this helpsI would explain but I have some work so sorryAnswer:
x = 12
Step-by-step explanation:
Angles and Lines
The figure attached below has been completed with the angle y to support the calculations to come.
The sum of the interior angles of a rectangle is 180°. Applying on triangle PQR:
30 + 4x + 2 + y = 180
Simplifying:
32 + 4x + y = 180
Solving for y:
y = 180 - 32 - 4x
y = 148 - 4x
Angles y and 8 + 6x are a linear pair, i.e. their sum is 180°, thus:
y + 8 + 6x = 180
Substituting y from the equation above:
148 - 4x + 8 + 6x = 180
Simplifying:
156 + 2x = 180
Dividing by 2:
78 + x = 90
Subtracting 78:
x = 90 - 78
x = 12
What’s the measure of the other angle?
43 decreased by a number B
Answer:
43 - B = x
Step-by-step explanation:
When decreasing, you are subtracting, so the equation for this problem would be 43 minus B equals whatever quantity you were given as a solution.
HELP ASAP!! I WILL MARK BRAINLIEST!! Write an equation for the graph.
Answer:
y = 7/4x
Step-by-step explanation:
All you have to do is find the slope by using the formula change in y divided by change in x of the two points. You can see that y goes up by 14 when x goes up by 8. This means that the slope is 14/8, or 7/4.
The equation would then be y = 7/4x
If Cathy receives all the discounts (30%, 20%, 10%, 15%, and an additional 20% Holiday Bonus Bucks discount, how much will she pay for the $90 sweater?
Answer:
She will pay $30.8448.
Step-by-step explanation:
Consider the provided information.
The price of the sweater is $90.
She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.
70% of $90 = [tex]0.7\times 90 = 63[/tex]
Now she gets a discount of 20% it means she needs to only 80% of $63.
[tex]0.8\times 63=50.4[/tex]
If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4
[tex]0.9\times 50.4=45.36[/tex]
If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36
[tex]0.85\times 45.36 =38.556[/tex]
Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556
[tex]0.8\times 38.556=30.8448[/tex]
Hence, she will pay $30.8448.
40 is a rational number.
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1
The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?
Answer:
The volume of the shark tank is [tex]2160 m^3[/tex]
Step-by-step explanation:
The tank is in the shape of a rectangular prism.
The length of the tank, [tex]l=18[/tex] m.
The width of the tank, [tex]w=15[/tex] m.
The height of the tank, [tex]h=8[/tex] m.
We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].
So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]
Hence, the volume of the shark tank is [tex]2160 m^3[/tex].
if x is 18 when y is 6 find y when x is 21
Answer:
y = 7, when x = 21
Step-by-step explanation:
Since 6 is 1/3 of 18 we could use that to find y
1/3 x 21 = 7
I WILL GIVE BRAINLIEST ihrugq'iu;igig54i;gtq;ha;gv
Diego wrote the inequality 5m + 10 ≤ 130 to represent m, the number of minutes he spent doing homework for one class. Which is the greatest amount of time he could have spent doing homework for each subject?
28 minutes
23 minutes
20 minutes
24 minutes
Anybody know the answer for this? ;-;
Answer: the first answer choice
Step-by-step explanation:
Answer:
i think its the bottom one but i dont know
Step-by-step explanation:
PLEASE HELP HOW DO I SOLVE THIS?
12 + 7c = 103
Answer:
13
Step-by-step explanation:
7c=103-12
7c=91
c=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
12+7c=103 Equation/Question
Step 2
12+7c=103 Simplify
Step 3
12+7c=103 Subtract 12
7c=91
Step 4
7c=91 Divide both sides
answer
c=13
Hope this helps
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $
Answer:
$46.27
Step-by-step explanation:
210.29×.78=164.02
210.29-164.02=46.27
Find the side lengths asked below:
Answer:
WZ=
UZ=
Step-by-step explanation:
First, you have to find the x.
3x-6+x+6
Combine like terms
(3x+x) (-6+6)
4x+0
x=4.
WZ=3(4)-6
12-6
6
UZ= (4)+6
10
Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?
Answer:
4,200 hbph
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
4200 times
Step-by-step explanation:
If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.
f(x) = x2 + 8, g(x) = 5x - 2.
Answer:
Step-by-step explanation:z
Okay I need 1 and 2 please help
Answer:
1. x=2 y=4
2. x=2 y=2
Step-by-step explanation:
which phrase represents 3-7x
Answer:
3 less 7x
Step-by-step explanation:
I think soooo
not sure either
Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.
The difference between three and seven times a number.
HOPE THIS HELPS
Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box. When Olivia's mom goes grocery shopping, she likes to purchase the same amount of each lunch item so that she can make complete lunches, with no leftover items. However, each item comes in a different sized package, as shown below: Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of packages she must purchase in order to have the same amount of each item.
Olivia's mom should purchase how many bags of apples?
Answer:
72
Step-by-step explanation:
Find the LCM
6=2x3
8=2x2x2
9=3x3
12=2x2x3
LCM=2³x3²
=72
Help Link (little green guy on the left) defeat Ganon and save Zelda. Find the distance from Link to the Green Soldier so Link can attack. Press "Submit" to check your work.
Answer: 5 units
Step-by-step explanation:
The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.
This can be calculate using the Pythagoras rule:
c² = a² + b²
c is the hypothenuse.
a in the triangle = base = 4 units
b = height = 3 units
c² = 4² + 3²
c² = 16 + 9
c² = 25
c = √25
c = 5 units
Answer:
wait i'm tho lol
Step-by-step explanation:
Find sin(90°).
45°
A.0
В.1
C. square 2
D. square 2 / 2
Answer:
sin90° = 1.
Step-by-step explanation:
Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.
Therefore sin90° = Hypotenuse/Hypotenuse = 1.
Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6 screensavers and 2 Otterboxes for $26. How much did each screensaver and each Otterbox cost?
Answer: Each screensaver costs $2 and each Otterbox costs $7.
Step-by-step explanation:
Let x = Cost of each screensaver and y = cost of each Otterbox.
As per given, 4x+3y=29 (i)
6x +2y = 26 (ii)
Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get
9x+3y=39 (iii)
Eliminate (i) from (iii) , we get
5x = 10
⇒ x = 2 [Divide both sides by 5]
Put value of x in (i), we get
4(2)+3y=29
⇒ 8+3y= 29
⇒ 3y= 21
⇒ y =7 [Divide both sides by 7]
Hence, Each screensaver costs $2 and each Otterbox costs $7.
i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2