[tex] \boxed{ \boxed{ \cos {}^{2} ( \theta) = \dfrac{1}{4} }}[/tex]
Solution :According to a Trigonometric Identity :
[tex] \hookrightarrow \mathrm{\sin {}^{2} ( \theta) + \cos {}^{2} ( \theta) = 1}[/tex]
Now, let's solve for [tex] \cos²(\theta)[/tex]
[tex] \longrightarrow \dfrac{3}{4} + \cos {}^{2} ( \theta) = 1[/tex]
[tex] \longrightarrow \cos{}^{2}( \theta) = 1 - \dfrac{3}{4} [/tex]
[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{4 - 3}{4} [/tex]
[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{1}{4} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps \: \: you.....}}{\orange{}}}}}[/tex]
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answer:
Step-by-step explanation:
Find the missing side. Round to the nearest tenth. X=?
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
The cost of a ticket increases by 10% to£18.15
Work out the original cost
Let the original price = x
An increase of 10 % = 18.15
Multiply x by (1 + percent increase) which is 1.1x = 18.15
Now to find x divide both sides by 1.1:
X = 16.50
The original price was 16.50
Answer:
£16.50
Step-by-step explanation:
Let cost price be x
Now, create a formula:
x + 10x / 100 = 18.15
'or'
110x / 100 = 18.15
'or'
x = (18.15*100) / 110
x = 16.5
The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Answer: [tex]\dfrac{6}{26}[/tex]
Step-by-step explanation:
Given
Denominator is 4 more than twice its numerator
Suppose the numerator is x. So, it follows above condition, fraction becomes
[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]
If both numerator and denominator are reduced by 6, they become equal
[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]
The fraction is
[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]
what is the possibility of a two sided coin flipped and lands on tails?
Answer:
Step-by-step explanation:
it has a 50/50 chance if it lands on tailes it is 50/50
how long will they take to make 504 muffins if they will be using 4 ovens?
Answer:
,♀️♀️♀️☺️️️️️️⚖️⚖️❤️❤️❤️❤️️️☘️️️☃️⭐njdjdnfjfnfnfnf
The ________ is the distance around a circle.
A. Radius
B. Diameter
C. Circumference
D. area
Answer:
the distance is called the circumference
Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula 1 =-
응
Calculate the lower bound and upper bound for Helen's value of it.
Give your answers correct to 3 decimal places.
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
Find the length of AB pls and thank you
Answer:
x=4
AB=19
Step-by-step explanation:
in such a parallelogram the length of AD must be equal to the length of BC.
=>
18x = 17x + 4
x = 4
AB = 4x + 3 = 4×4 + 3 = 19
solve for x round to the nearest tenth if necessary.
Answer:
20.4
Step-by-step explanation:
use trig relations with the angle 74˚
the sides we know are the hyp (74) and the adj side to 74˚ (x).
the trig function associated with hyp and adj is cos.
cos = adj/hyp.
cos 74˚ = x/74
0.27 = x/74
x = 20.39
x = 20.4
Answer:
20.4
Step-by-step explanation:
1. c = b · sin(C) / sin(B) = 20.39716
This is the equation to find x.
c = x
b = 74
C = ?
B = 90
2. C must be found. We know that A is 90 and B is 74.
3. 180 = 90 + 74 + C
According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.
4. 180 = 164 + C
You must do 180 - 164 which equals 16.
5. C = 16
This means that 16 is what C equals. You can finally plug in the equation with all the gathered information
c = x
b = 74
C = 16
B = 90
4. x = 74 · sin(16) / sin(90) =
You could use a calculator to find the answer.
5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.
Given m || n, find the value of x and y
X = 21
Y = 30
X:
(3x - 15) + (6x + 6) = 180 -- combine like terms
9x - 9 = 180 -- add 9 to both sides
9x = 189
x = 21
Y:
Plug x into 3x-15
3(21) - 15 = y + 18
63 - 15 = y + 18
48 = y + 18 -- subtract 18 from both sides
y = 30
At sunrise, the outdoor temperature was 2 degrees
below zero. At dusk, the outdoor temperature has
dropped to 15 degrees below zero. What is the distance
between the two temperatures?
Answer: 13 degrees
Step-by-step explanation:
1. - 2<0
2. (- 2)-(-15)=(-2)+15=13
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
A standard equation written in slope-intercept form looks like this:
y = mx + b
m is the slope and b is the y-intercept.
First let's identify the y-intercept.
This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.
y = mx - 3
Now let's find the slope.
This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.
We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.
To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.
rise: 2
run: -1
rise/run = 2/-1 = -2
-2 is our slope.
y = -2x - 3
This is your equation.
Hope this helps!
What is the ratio of their surface areas
Answer:
[tex]\text{A. }4:81[/tex]
Step-by-step explanation:
Since surface area consists of the sum of the outer faces of each polygon, the ratio of the two surface areas will be equal to the ratio of the side lengths squared (since we multiply them to get area).
The ratio of the corresponding side lengths of the solids are [tex]2:9[/tex]. Therefore, the ratio of their surface areas must be [tex]2^2:9^2=\boxed{4:81}[/tex]
Answer:
A
Step-by-step explanation:
i hope this helped i tried
cuanto me da como resultado
Step-by-step explanation:
1) [tex](-4)^2{\cdot}(-4)[/tex]
We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]
[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]
2) [tex](-2)^5{\cdot} (-2)^3[/tex]
Again using above property,
[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]
3) [tex]5^{-3}[/tex]
We know that,
[tex]a^{-x}=\dfrac{1}{a^x}[/tex]
So,
[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]
4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]
Hence, this is the required solution.
Can someone help me please?
Step-by-step explanation:
Given that,
No. of heads = 40
No. of tails = 60
We know that,
Probability = (no. of favourable outcomes)/(total no. of outcomes)
Experimental probability of getting heads,
no. of favourable outcomes = 40
Total no. of outcomes = 40+60 = 100
So,
[tex]P=\dfrac{40}{100}[/tex]
She has taken 60 on denominator. She should have taken 100 instead of 60.
Write an equation for the graph below using its zeros.
Answer:
Step-by-step explanation:
It's a cubic.
It has 1 root that cuts the x axis at x = -4
It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.
y = (x + 4) (x - 3)(x - 3)
Notice the sign change. x has to have sign change when going from a root to a binomial
The root is - 4. The binomial is (x + 4)
The same argument works for x = 3
hi please answer me asap I will mark brainlist please please I don't have
10.) x-23=-3x+5
x+3=5+23
4x=28
x=711.) C. 2ab12.) -4ab+5-(-2ab + 3)
-4ab+5+2ab-3
-2ab+213.) (-3)+(-5)
-3 -5
-814.) 8.4Find the surface area and explain step by step plz and no links plz
Answer:
253 in²
Step-by-step explanation:
Surface area of a cylinder= 2πr (r+h)
The radius is not shown.
Radius= diameter/2
= 7/2
= 3.5 in
Surface area= 2xπx3.5 (3.5+8)
= 253 in²
*r=radius
h=height
I used the π value from my calculator.
P.S. You can substitute π for 3.14. If you round it to the nearest whole number, you will still get the same answer. Hope this helped!
The picture shows the diameter and the height. First, find the radius from the diameter by dividing by 2.
Pls I need help this
Answer:
the third side is 4.
Step-by-step explanation:
Using Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute
the numbers to show ([tex]\sqrt{65})^{2}[/tex] + [tex]b^{2}[/tex] = [tex]9^{2}[/tex] and solve for b. The square root and square cancel each other out, so you get 65 + [tex]b^{2}[/tex] = 81.
Subtract 65 from both sides to get [tex]b^{2}[/tex] = 16.
Then take the square root of both sides to get b = [tex]\sqrt{16}[/tex] which equals 4.
En la inaguracion de unos juegos olimpicos, los 38 representantes de una nacion quieren desfilar formando columnas de 6¿es posible?¿de que modo podria desfilar formando columnas iguales?
Answer:
a) No
b) Sí
Step-by-step explanation:
a) En la inauguración de unos Juegos Olímpicos, los 38 representantes de una nación quieren desfilar en columnas de 6, ¿es posible?
Esto se calcula como
38 representantes / 6 columnas
= 6 2/6 = 6 1/3 columnas
No, no es posible, tendríamos 7 columnas con 6 columnas con representantes iguales de 6 y la séptima columna tendría solo 2 representantes allí
b) ¿Cómo podrían desfilar en columnas iguales?
Sí pueden
Esto se calcula como 38 representantes ÷ 2
= 19 columnas
Podemos tener 19 columnas con 2 representantes cada una
https://gyazo.com/24fac9fdbb9e01e022cb75d2e76d4949
Answer:
What
Step-by-step explanation:
IS THAT
Solve for x in this equation.
7^3x-17 = 49^x
Answer:
X = 17
Step-by-step explanation:
If you created equivalent expressions with equal bases that should be the answer.
Given m||n, find the value of x.
(7x-4)
(3x+28)º
Answer:
8
Step-by-step explanation:
7 x 8 = 56 56 - 4 = 52.
3 x 8 = 24 24 + 28 = 52
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each
student, one at a time, for 7 of an hour, how many students does she tutor?
3
Answer:
Lauren tutors 42 students in total
Step-by-step explanation:
She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42
Hope it helps:)
Simplify the expression:
5(4x - 2)
i need help
Step-by-step explanation:
5(4× - 2)
5x4=20
5×2=10
Answer = 20x - 10
Answer:
20x-10
Step-by-step explanation:
Simply multiply.
5 × 4X = 20X
5× -2 = -10
Combine both
20X - 10
Find the y-coordinates of points on the line y = −0.5x that have x-coordinates of 6[tex]coordinates[/tex]
Answer:
y = -3
Step-by-step explanation:
y = -0.5(6)
y = -3
What is the slope of a line that is perpendicular to the line y =1/2x+5?
-2
-1/2
1/2
2
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
Hope it is helpful...
What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)? A. 1/2, 1, 3 B. -1, 1, 3 C. -1/2, 1, 3 D. -3, 1/2, -1
Answer:
x=3 x = -1/2 x=1
Step-by-step explanation:
y = (x - 3)(2x + 1)(x - 1)
Set the function equal to zero
0 = (x - 3)(2x + 1)(x - 1)
Using the zero product property
x-3 =0 2x+1 =0 x-1 =0
x=3 2x = -1 x=1
x=3 x = -1/2 x=1
The heights of male students are normally distributed with a mean of 158 cm and a
standard deviation of 5 cm.
Find the percentage of male students who are between 145 cm and 170 cm.
Round your
answers to the nearest hundredths.
Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%
Step-by-step explanation:
Let x denotes the height of male students.
As per given,
[tex]\mu=158,\sigma=5[/tex]
The probability of male students who are between 145 cm and 170 cm
= [tex]P(145<X<170)[/tex]
[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]
Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%
