Answer:
The correct option is;
a- 45° only
Step-by-step explanation:
The given equation can be presented as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]
We have that cos(2·x) = cos²(x) - sin²(x)
Also, we have, by the difference of two squares, the following relation;
cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))
Therefore, the given equation can be written as follows;
[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]
Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;
[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]
From cos(x) - sin(x) = 0, we have;
Adding sin(x) to both sides of the equation
cos(x) - sin(x) + sin(x) = 0 + sin(x)
cos(x) = sin(x)
Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal
∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°
Answer:
A. 45 only
Step-by-step explanation:
EDGE 2020
Please Help
How is an object's acceleration affected by its mass and the forces acting on it?
Answer:
Step-by-step explanation:
The acceleration of an object increases with increased forced and decreases with increased mass which is in the same direction as the force.
Consuelo deposited an amount of money in a saving account tha earned 6.3% simple interest. After 20 years, she earned $5,922 in interest. What was her initial deposit? Use the simple interest formula I = P r t
Answer:
5922=Px6.3%x20
5922=Px1.26
P=5922/1.26
P=4700
Step-by-step explanation:
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
What is the slope of the line that passes through the points (-2,6) and (4,10)?
Answer:
The answer is
[tex] \huge \frac{2}{3} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{10 - 6}{4 - - 2} = \frac{4}{4 + 2} = \frac{4}{6} = \frac{2}{3} \\ [/tex]
We have the final answer as
[tex] \frac{2}{3} \\ [/tex]
Hope this helps you
my bros if 1+1 was to = 3 would 2+2=5?
Answer:
No
Step-by-step explanation:
1+1=2 2+2=4
What is the order fractions least to greatest 3/5 1/4 1/2 2/5
Answer:
1/4, 2/5, 1/2, 3/5
Step-by-step explanation:
1/4=0.25
3/5=0.6
2/5=0.4
1/2=0.5
Answer:
[least] 1/4, 2/5 , 1/2, 3/5 [greatest]
Step-by-step explanation:
Well lets find out LCD (least common denominator) for 4,5 and 2
LCD-20
12/20 =used to be 3/5
5/20=used to be 1/4
10/20=used to be 1/2
8/20=used to be 2/5
Now that you know all of them and have common denominator lets order!!
[least] 1/4, 2/5 , 1/2, 3/5 [greatest]
Hope this helps :3
What is 1+1? Plz help I’m bad at math
Answer: 2
Step-by-step explanation:
What is 64.2 multiplied by 0.25
Answer:
16.05
Step-by-step explanation:
multiplication
Answer:
16.05
Step-by-step explanation:
You move right seven units. You end at 2,2. Where did you start?
Answer:
(2-7,2) = (-5,2)
Step-by-step explanation:
-5x+2y=9
y=7x
I need help with in the next 10 minutes I will give brainiest!!!!!
Answer:
x = 1 and y = 7
Step-by-step explanation:
First, you substitute the y into the first equation
-5x+2(7x)=9
-5x+14x=9
9x=9
x=1
Then put the x into the equation to find y
This is if you substitute using the second equation
y=7(1)
y=7
Mitchell swims several times per week in a lake near his home. Last summer, the average water temperature was 20 degrees Celsius. This summer, the average water temperature was 21 degrees Celsius. What was the percent of increase in the temperature?
Answer:
5% increase
Step-by-step explanation:
last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20
20° is to 100% as
1° is to ?%
cross multiply
?% *20 =1*100
divide by 20 both sides
?%= 100/20 = 5
PLEASEEEE 10 points
Answer
7?
Step-by-step explanation:
The height of a widescreen television varies directly with its width. A television that is 60 cm wide and 33.75 cm high. Write and solve a direct variation equation to find the height of a television screen that is 90 cm wide.
90 in + 60 in= 130 square inches? I guess you can do that
Have a good day
The toy rocket is how much inches long?
The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3).
Answer:true
Step-by-step explanation:
find the value of x in the figure below
Answer:
answers below.
Step-by-step explanation:
50+x+5+180-4x-10=180
225-3x=180
-3x=-45
x=15
m<B=20
m<ACB=110
m<ACD=70
6/5 58.9% 1.77 0.169 =
Order from least to greastest
The answer fam is.........
0.169
58.9%
1.77
6/5
The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
y=x+3
y = -2x - 3
Answer:
y = -2x + 13
Step-by-step explanation:
A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make
Answer:
they made 3 batchs
Step-by-step explanation:
2. Solve for y
-4y -20 +19= -y + 17
i need someone to answer this it’s due by midnight
Answer:
y= -6
Step-by-step explanation:
Straws are sold in packs and boxes.
there 15 straws in each pack.
there are 48 straws in each box.
Tricia buys p packs of straw and boxes of straw.
write down an expression in terms of p and b, for the total number of straws bought by tricia.
help me please i have 2 more after this
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent
What is x in 7-onethirdx =11
Answer:
[tex]\frac{-1}{3} x = 11-7\\\\\frac{-1}{3} x = 4\\\\-1x = 4*3\\-1x = 12\\\\x = -12[/tex]
Solve for y: -5y + 6 = 16
A. -14/5
B. -2
C. 14/6
D. 2
Answer:
b
Step-by-step explanation:
i think it is b the answer is b
work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)
Answer:
Y=-2x+9
Step-by-step explanation:
The first thing is to know the formula which is Y÷x
Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y
So it will be Y-7÷X-1 = the gradient which is - 2
So multiply both sides by X-1
So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign
Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers
Yesterday, grace drove 41.5
miles. she used
1.25 gallons of gasoline.
What is the unit rate for miles per gallon?
Answer:
33.2 mpg
Step-by-step explanation:
help me thanks . please
Answer:
0.1 > 10^-2
(I'm pretty sure I'm right. sorry if im wrong :(
GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel then theo's family
Answer:
15
Step-by-step explanation:
Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart
50
+15
-------
65
15 is your answer
a² + b -c for a = 2 b = (-9) c = 4
Answer:
-9
Step-by-step explanation:
4+(-9)-4
4+(-13)
-9
Answer:
-9
4 + -9 - 4
4 + -9 + -4
4 + -13 = -9
Over the past 10 years, the high school football team averaged 24.8 points per game with a standard deviation of 8.5. At the homecoming game, the team scored 52 points. Find and interpret the z-score.
Answer:
3.2 i think
Step-by-step explanation: