Recall that
tan²(x) + 1 = sec²(x)
for all x ≠ (2n + 1) 90°, where n is any integer. (That is, whenever x isn't an angle that is an odd multiple of 90°.)
Then
tan²(Φ) + sec²(Φ) = 3
tan²(Φ) + (tan²(Φ) + 1) = 3
2 tan²(Φ) + 1 = 3
2 tan²(Φ) = 2
tan²(Φ) = 1
tan(Φ) = ±√1
tan(Φ) = 1 or tan(Φ) = -1
Φ = tan⁻¹(1) + n 180° or Φ = tan⁻¹(-1) + n 180°
Φ = 45° + n 180° or Φ = -45° + n 180°
The first family of solution is the set of angles
{…, -315°, -135°, 45°, 225°, 405°, …}
and the second family is the set
{…, -405°, -225°, -45°, 135°, 315°, …}
(showing the solutions for n = -2 to n = 2)
You can condense the solution set into one family by noticing each angle is 45° plus some multiple of 90°, so that
Φ = 45° + n 90°
If you're looking for solutions in a given range, such as 0 ≤ Φ < 360°, then
Φ = 45°, 135°, 225° or 315°
Look at the following expression. Which operation should be done first?
23 – 5 × 4 + 32 (a small 2 next to the 3)
1.) 5 × 4
2.) 32 (small 2)
3.) 4 + 3
4.) 23 – 5
Answer
2.
Step-by-step explanation:
please help homework. ignore the green that's just pre algebra above
PLEASEE HELP IM BEGGING YOU
Answer:
1 7/12
Step-by-step explanation:
Its 1 7
/12
Answer:
1 7/12
Step-by-step explanation:
Hope this helps!
Brainiest?
x+2+2x+1+x-6= 45 what is X?
12
60
15
16
SOLVE QUICKLY I WILL GIVE BRAINIEST!!!
Kim rols three 6 sided dice.
The product of her numbers is 60
a) What numbers could she have rolled?
Answer:
2,5,6
Step-by-step explanation:
2 * 5 * 6 = 60
Kim rolls three 6 sided dice. The product of her numbers is 60. So, the numbers are 2, 5, and 6 and this can be determined by using arithmetic operations.
Given :
Kim rolls three 6 sided dice.The product of her numbers is 60.The following steps can be used to determine the number could Kim has rolled:
Step 1 - Let the three numbers be a,b, and c.
Step 2 - Given that the product of these numbers is 60.
[tex]a\times b \times c = 60[/tex]
Step 3 - So, the possible values of a, b, and c are:
a = 2
b = 5
c = 6
Step 4 - Check the product of a, b, and c if it is 60 then it is correct.
[tex]2\times 5\times 6 = 60[/tex]
For more information, refer to the link given below:
https://brainly.com/question/13101306
Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12
Answer:
1.) 5 2.) 10.58
Step-by-step explanation:
For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.
So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5
and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)
A park is rectangular with a length of 2/3 miles. If the area of the park is 3/9 square miles, what is its width? Input your answer as a fraction.
Answer:
6/9 miles
Step-by-step explanation:
(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.
A: At her current pace, how many items will Kristina sell in 28 days?
B:Is she on track to meet the goal? Explain
3 fifths equals how many 20
Answer:
12
Step-by-step explanation:
20/5 = 4
4 x 3= 12
3/5 of 20 is 12.
This is because 3/5*20/1=60/5 which reduces to 12.
2x + 3y = 2
y = {x+3
The solution of the system is (-2,2)
Step-by-step explanation:
a solution is a system of equations intersecting.
on the graph you can see that the lines intersect at (-2,2)
A=
B=
Blank 1:
Blank2:
Answer:
a=3,b=1
Step-by-step explanation:
In a parallelogram opposite sides are equal/congruent.
Using this, we know that 3a-4=a+2 and b+1=2b
1st equation:
3a-4=a+2
-a -a
2a-4=2
+4 +4
2a=6
a=3
2nd equation:
b+1=2b
-b -b
b=1
a=3, b=1
A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
Percent is always out of _________ ?
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
(-30i) +(52-30i) express your answer in the form (a+bi)
Step-by-step explanation:
-30i + 52 - 30i
= 52 - 60i.
Here a is 52 and b is -60.
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
Jada made 8 cups of blueberry jam and divided the jam equally among 6 containers. How much jam went in each container?
Answer:
1.3 repeated is the answer
Answer:
Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container
Anyone please please answer (30points)
Answer:
Look in explanation
Step-by-step explanation:
for each k(x) value, plug the x into the given equation
-4: 1/2 (-4) -1 = -2-1=-3
all are solved this way
-2: -2
0: -1
2: 0
4: 1
ordered pair will be (x, (k(x))
for example (-4, -3)
do this for all other points
slope can be found by taking the change in y over change in x
so -2- -4 divided by -2 - - 3 = 2/1 = 2
slope = 2
hope that makes sense
Could somebody pls help me with this question
Answer:
18 minutes is the answer
Step-by-step explanation:
•Time couple rested in 2 hrs = 12 min
•Time couple rested in 1 hr = 12/ 2 min = 6min
•Time couple rested in 3 hrs = 6×3 min = 18 min
HOPE IT HELPS YOU
MARK ME AS BRAINIEST
AND YOU CSN THANK ME IN THE COMMENT
The sum of three angle measures in a triangle is always 180°.
Answer:
YES IT IS RIGHT.......!
The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE
Answer:
y=x+2
Step-by-step explanation:
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
decide whether each function is linear or nonlinear from its graph
Hw help ASAPPP
+10PTS
Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125
Answer:
a b and e
Step-by-step explanation:
hope this helps
Answer:
it b and e
Step-by-step explanation:
rrrrrrrrrrrrrrr
using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction.
Answer:
First, we can write a fraction as a/b
Where a is the numerator, and b is the denominator.
A proper fraction is a fraction where the numerator is smaller than the denominator.
Using only the given numbers (only once per fraction), some examples of proper fractions are:
3/5
3/8
5/8
3/85
3/58
5/83
5/38
8/35
8/53
You can see that in all of them the denominator is larger than the numerator.
The improper fractions are those where the numerator is equal or larger than the denominator.
The 9 examples using the given numbers are:
5/3
8/5
8/3
35/8
38/5
53/8
58/3
83/5
85/3
3x3z−6z for z=5 solve pllllsslssss
please help asap!!!!!
Answer:
angle RQS
Step-by-step explanation:
There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14
Answer:
14:23
Step-by-step explanation:
14:23
Answer:
its 14-23
Step-by-step explanation:
Please help me answer this :)
Explain your answer
Will give brainiest ! Oh
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because the points are going up by 10 :)
PLEASE ANSWER GIVING 30 POINTS
Answer:
this is only 15points but ok
Step-by-step explanation:
answer: D)
Answer:
The answer should be 15.
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex] as the product of square roots. [tex]\sqrt{5^{2} }[/tex] [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].
[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.
[tex]\sqrt[15]{5}[/tex]