HELP! I'll give brainliest

Answer:

θ = 0° , 60°

Step-by-step explanation:

[tex]\cos^2\theta + \sqrt{3}\sin \theta \cos \theta = 1[/tex]

[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 1 - 1[/tex]

[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 0[/tex]

[tex]=> (\cos^2 \theta - 1 )+ \sqrt{3} \sin \theta \cos \theta = 0[/tex]

[tex]=> -\sin^2 \theta + \sqrt{3} \sin \theta \cos \theta = 0[/tex]

[tex]=> \sin \theta(- \sin \theta + \sqrt{3}\cos \theta) = 0[/tex]

Now solve each part separately :-

1) [tex]\sin \theta = 0[/tex]

[tex]=> \theta = \sin^{-1}0 = 0[/tex]

2) [tex]-\sin \theta + \sqrt{3} \cos \theta = 0[/tex]

[tex]=> \frac{-\sin \theta + \sqrt{3}\cos \theta }{\cos \theta} = \frac{0}{\cos \theta}[/tex]

[tex]=> \frac{-sin \theta}{\cos \theta} + \frac{\sqrt{3} \cos \theta}{\cos \theta} = 0[/tex]

[tex]=> -\tan \theta + \sqrt{3} = 0[/tex]

[tex]=> -\tan \theta + \sqrt{3} + \tan \theta = 0 + \tan \theta[/tex]

[tex]=> \tan \theta = \sqrt{3}[/tex]

[tex]=> \theta = \tan^{-1}\sqrt{3} = 60[/tex]

∴ θ = 0° , 60°

Answer:

Solution given:

[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]

[tex] 1-sin^{2} \theta+\sqrt{3} sin \theta cos \theta = 1[/tex]

[tex] 1-1 +sin^{2}\theta=\sqrt{3} sin \theta cos \theta = 1[/tex]

[tex] Sin\theta(sin\theta -\sqrt{3}cos\theta)[/tex]

Either

[tex] sin\theta=\sqrt{3} cos \theta [/tex]

[tex] \sqrt{sin\theta}{cos \theta}=\sqrt{3} [/tex]

[tex] Tan \theta =\sqrt{3}[/tex]

[tex] Tan \theta =Tan 60,Tan(180+60),Tan (360+60)[/tex]

[tex] \theta =60°,240°,420°[/tex]

in terms of π is

[tex] \theta =⅓π,\frac{4}{3}π,[/tex]

Or

[tex] Sin\theta=1[/tex]

[tex]Sin\theta=Sin0° ,Sin180°[/tex]

In terms of π is

[tex]\theta=0π,π[/tex]

so

[tex]\theta=0π,⅓π,π,\frac{4}{3}π,[/tex]

Answer:

2

Step-by-step explanation:

the first point and where the line turns

Answer:

it's the last choice

Step-by-step explanation:

x int: (1/2,0) and y int (0,2)

The order of the answers doesn't matter.

================================================

Explanation:

a || b means the two lines a and b are parallel

If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.

Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.

Solve for x

|5x+15| = 100

5x+15 = 100 or 5x+15 = -100

5x = 100-15 or 5x = -100-15

5x = 85 or 5x = -115

x = 85/5 or x = -115/5

x = 17 or x = -23

The value of x is 17.

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.

Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.

Given:

<1 = 5x + 15

<2 = 100

Using alternate exterior angle

5x + 15 = 100

5x = 100- 15

5x = 85

x= 85/5

x= 17

Hence, the value of x is 17.

Learn more about alternate exterior angle here:

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Answer:

either 2 or 1/2, depending on what the original shape was

Step-by-step explanation:

going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.

going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.

Answer:

Ok ok, I see. So the answer is -9.

Step-by-step explanation:

We know the expresion is:

-3(-2+5)

We need to distrubute the -3 to what is in the parthese.

When I say distribute, basically you need to multiply the numbers inside the parethese by -3. So we can think of it as:

-3*-2=6

and:

-3*5=-15

Which we can rewrite as:

(6-15)

Subtract 15 from 6 and you get -9:

6-15=-9

Sorry hope this helps!

Answer:

B

Step-by-step explanation:

Only 1 because

1/1 = 1

2/1 = 2

The answer can't be 0 because we can't divide by zero.

The answer can't be 2 because you can't divide 1 by 2 without having a number with decimal places

Same thing for the 4

Answer:

P = (12/27)*(11/26) = 0.188

Step-by-step explanation:

Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:

La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:

p = 12/27

Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)

Entonces ahora la probabilidad es:

q = 11/26

La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.

P = (12/27)*(11/26) = 0.188

[tex](y + 1)(y + 12)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {y}^{2} + 13y + 12 \\ = {y}^{2} + 12y + 1y + 12 \\ taking \: common \: factor \: from \: the \: two \: pairs \\ = y(y + 12) + 1(y + 12) \\ = (y + 1)(y + 12)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

Step-by-step explanation:

for hypotenuse

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=5/hypotenuse

10=hypotenuse

for base

using pythagors theorem

H^2=P^2+B^2

10^2=P^2+5^2

100-25=P^2

[tex]\sqrt{75}[/tex]=P

5[tex]\sqrt{3}[/tex]=P

Answer:

C. 8.66 in

Step-by-step explanation:

Using the formula of circumference of a circle

[tex]2\pi \: r [/tex]

then,

first find r by plagging in the given data.

so, r = 4.33 in

since it's diameter needed, then

r + r = d

4.33 in + 4.33 in = 8.66 in

Answer:

7.48

Step-by-step explanation:

[tex]9^{2} = 5^{2} + x^{2} \\81 = 25 + x^{2} \\x^{2} = 81-25= 56\\x = \sqrt{56} = 2\sqrt{14} =7.48\\[/tex]

Answer:

a

Step-by-step explanation:

b

The equation can be solved to find the height of the lamppost 'h' is

D. tan52° = h/18

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given information we have a reference angle of 52° opposite to it is the height(h) of the pole and a shadow which is the adjacent side is 18 feet.

We know, tan = opposite/adjacent.

Therefore, tan52° = h.18.

learn more about trig ratios here :

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Answer: I'm going to say 3

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

[tex]\frac{9}{60} = \frac{3}{20}[/tex]

[tex]\frac{3}{20} = 0.15\\[/tex]

[tex]0.15 = 15%[/tex]

Answer:

if it's given 60,

so 1%=6

so 15/10=9

so answer is 1.5

Answer:

The range is 8.

Step-by-step explanation:

The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.

9 - 1 = 8

Have a nice day!

and tell me if I am wrong.

Answer:

42

Step-by-step explanation:

15/4 x 2/1 x 28/5 = 840/20 = 42

Answer:

where is the question

have a good day :)

Step-by-step explanation:

Answer:

A) 7p^5q^4

Step-by-step explanation:

to get 5pq² to equal 35p^6q^6 you must multiply by:

7p^5q^4 because you must add the exponents

Answer:

[tex]\sqrt{2}[/tex] or 1.414213

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]

d = distance

[tex](x_{1}, y_{1})[/tex] = coordinates of the first point

[tex](x_{2}, y_{2})[/tex] = coordinates of the second point

Answer is 2

If 8x = 16y

on rearranging question,

x/y = 16/8 = 2

Answer:

because she wants to reduce from the amount of it amd wants to use it much so she would have blue is not that much!

I don't know exactly but that is my suggestion

Answer:

The answer would be 3/8.

Answer:

44

14

19

47

Step-by-step explanation:

using trig functions

Answer:

Use notes and youll get an answer

Step-by-step explanation:

Answer:

1 1/3 mph

Step-by-step explanation:

distance = rate x time

5 = 3.75r

5/3.75 = r

r = 1 1/3 mph

Answer:

11 inches

Step-by-step explanation:

V(cylinder) = πr²·h

2797.74 = 81π·h

h = 2797.74 ÷ 81π

h ≈11

Answer:

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}[/tex]

Step-by-step explanation:

Given expression is,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3[/tex]

By solving the given expression,

[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3[/tex]

                     [tex]=(\frac{5}{6}\times \frac{5}{1})^{-1}+3[/tex]

                     [tex]=(\frac{25}{6})^{-1}+3[/tex]

                     [tex]=\frac{6}{25}+3[/tex]

                     [tex]=\frac{6+(25\times 3)}{25}[/tex]

                     [tex]=\frac{81}{25}[/tex]

Answer:

[tex]\sqrt{44+20}[/tex]

[tex]Add: ~44+20=64[/tex]

[tex]=\sqrt{64}[/tex]

[tex]Factor:\:64=8^2[/tex]

[tex]=\sqrt{8^2}[/tex]

[tex]\sqrt{8^2}=8[/tex]

[tex]ANSWER: 8[/tex]

-------------------------

hope it helps..

have a great day!!

Answer:

[tex]\sqrt{44+20}=\sqrt{64}=\sqrt{8²}=±8[/tex]

is a required answer.

Answer:

11

Step-by-step explanation:

this equation can be derived from the question

45 oz - 17.3 oz - 0.83x oz = 18.57 oz

where x = number of muffins made

combine like terms

45 oz - 17.3 oz - 18.57 oz = 0.83x

9.13 = 0.83x

x = 9.13 / 0.83

x = 11