Answer:
{y, x} = {-5, -2}
tan²Ф+sec²Ф=3
can someone solve this by finding all answers as the nearest whole degree
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°
what is 20÷40+30-400÷10000
Answer:
brainly: this looks like a question for a calculator.
Step-by-step explanation:
Answer:
30.46
Step-by-step explanation:
Which of the following statements is true concerning ABC below?
С
A. A is the smallest angle.
B. A is the largest angle.
C. B is the smallest angle.
D. B is the largest angle.
A is the smallest
Can I have brainleist?
Solve pls
2x - 5 = 7
Answer:
[tex]x = 6[/tex]Step-by-step explanation:
[tex]2x - 5 = 7 \\ 2x = 12 \\ x = 6[/tex]
Hey there!
“Solve 2x – 5 = 7”
FIRST: ADD both SIDES by 5
2x – 5 + 5 = 7 + 5
CANCEL out: –5 + 5 because it gives you 0
KEEP: 7 + 5 because it helps us solve for x
7 + 5 = 12
NEW EQUATION: 2x = 12
SECOND: DIVIDE both sides by 2
2x / 2 = 12 / 2
CANCEL out 2 / 2 because that gives you 1
KEEP: 12 / 2 because it gives you the value of x
NEW EQUATION; x = 12 / 2
SOLVE ABOVE and you have your answer
12 / 2 = 6
Therefore, x = 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
Answer:
25 units should be right
Step-by-step explanation:
prove me wrong
07:56
O sol 100%
1. Find the measures of the following to the nearest tenth of a degree
a HT
b.LT
2. What is the area of the given triangle?
om
Dom
8
17. find each
15
sin=
3. If X and Y are complementary angles,
cosX
17 , and
of the following:
a. tan X =
b. sin YE
CcOS Y =
d. tsn Y
E
<
Answer:
Toilet rolls come in packs of 4 and 9.
The 4-pack is priced at £2.04.
The 9-pack is priced at £4.68.
By calculating the price per roll, determine which pack is better value. Show your working.
How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings if each topping can only be chosen once
Answer:
24,024
Step-by-step explanation:
Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings
The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11
Hence,
14*13*12*11=24,024
Therefore the numbers of way Rudy can choose 4 pizza toppings from a menu of 14 is 24,024
Write equation of a line in point slope form that passes through (3,8) and has a slope of
5?
Answer:
y = 5x - 7
Step-by-step explanation:
(3 , 8) ; slope(m) = 5
Equation of the line: y - y₁ = m( x- x₁)
y - 8 = 5(x - 3)
y -8 = 5x - 5*3
y-8 = 5x - 15
y = 5x - 15 +8
y = 5x - 7
Help with this please!! Asap I’m not sure of the answer
Answer:
135
Step-by-step explanation:
135+45=180
Work backwards using the Distributive Property.
8(2) + 6(2) =
O 6(8+2)
O 8(2 +6)
O (8+6)2
O 2(6+2)
the food pantry distribution 10 oz bags of rice if 3 5 lb bags are donated to the pantry how many 10 ounce bags can be made
Answer:
24 bags can be made from three 5 pounds bags.
Step-by-step explanation:
Given that:
Three 5 pound bags are donated.
Total weight of bags = 3*5 = 15 pounds
We know that:
1 pound = 16 ounces
15 pounds = 16*15 = 240 ounces
A bag weighs 10 ounces.
Number of bags = [tex]\frac{240}{10}[/tex]
Number of bags = 24 bags
Hence,
24 bags can be made from three 5 pounds bags.
Math homework need help
Answer:
the sum of interior triangle is 180
so,
92+33+X=180
125x=180
X=180-125
=55
Jazmin is making bags of candy for hollween. Each time she makes a bag she puts in 1/2 pound. If she has 5 pounds of candy how many times can she do this
Answer:
10
Step-by-step explanation:
Solve:
(7 × 8) − (35 + 12) − (2 × 2) =
Lots of points please help
Answer:
hi
Step-by-step explanation:
I need help on this too
Answer:
first one
Step-by-step explanation:
do i really need an explanation like come on
The width of a rectangle is 10 less than the length. If the perimeter is 80 yards, find the length and width.
Answer:
Width is 15, length is 25
Step-by-step explanation:
80=2(X+(X+10)
40=2x+10
30=2x
x=15
Width is 15, length is 25
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation:
Adam had some paper with which to make
note cards. On his way to his room he found two more pieces to use. In his room he cut each piece of paper in half. When
he was done he had 18 half-pieces of paper. With how many sheets of paper did he start?
Answer:
9
Step-by-step explanation:
18 / 2 = 9
Complete the calculations so that each shows the correct sum. (WILL MARK THE BRAINLIEST!!!)
Answer: a. 2.964 b. .262
Answer:
2.964
Step-by-step explanation:
Hope this helps!
Substitute x=3y+1 into the expression-x -7 and simplify
Answer:
Step-by-step explanation:
x-7
3y+1-7
3y-6
Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile
Answer:
1. The volume of the pile is 4,399.7719 m^3
2. The number of sanders to be filled from a pile is 638
Step-by-step explanation:
Here, we firstly would calculate the volume of the pile
Mathematically, that will be;
V = 1/3 * pi * r^2 * h
from the question, h = 14.2
Mathematically, r = d/2
r = 34.4/2 = 17.2 m
So the volume will be:
V = 1/3 * 3.142 * 17.2^2 * 14.2
V = 4,399.7719 m^3
To find the number of sanders to be filled,
we simply divide the volume obtained by the volume a sander can take
That will be;
4,399.7719/6.9
= 637.6 which is 638
The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for Nu 1280. At what price should the watch be sold to make 25% profit
Answer:
2,000
Step-by-step explanation:
The computation of the price that should be sold for making 25% profit is shown below:
Let cost price be x
Now the equation would be
(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100
1,920 - x = x - 1,280
2x = 3,200
x = 1,600
Now the sale price would be
= 1,600 × 1.25
= 2,000
What is the combined length of all the buttons longer than 1 inch
Answer:
Where is the problem to solve?
Step-by-step explanation:
pleas help me with this
Answer:
B by Pythagorean theorem
Step-by-step explanation:
20² = 12² + 16²
Solve the following inequality using both the graphical and algebraic approach:
x/2 + 1 < 3x + 2
Answer:
C. xz-0.4
Step-by-step explanation:
I calculated logically
how do i get rid of the stupld
Answer:
wdym get rid of the "stupld"
Step-by-step explanation:
Answer:
Study, ask teachers questions, email, use this app, etc.
Step-by-step explanation:
If you study for a test/exam. Look over the study guide and recite it for 20 minutes and take a 10 minute break. Then pretend you're explaining the subject to someone for 20 minutes and take a 10 minute break. Then go over the study guide again and see if you missed anything while explaining and then explain it again but this time with the things you missed. Repeat if necessary. Flashcards on quizlet n stuff can help too.
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)
5 star rating help quick
Answer:
i think b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It is the only one with the coordinates (1,15) (3,25) (5,35) (7,45)
The coordinates of the endpoints of segment TW are (6, 8) and (−2, 10). What are the coordinates of the midpoint of TW ?
Answer:
2,9
Step-by-step explanation:
Answer:
2,9
Step-by-step explanation:
Which of the following expressions represents five less than three times the number M
Answer:
Which of the following expressions represents five less than three times the number M
where are option ?
Answer:
3M-5
Step-by-step explanation:
You subtract the 5 from 3M and you have to make it 3 times M so you have the 3M.