find the exact value of tan165°.

Correct question :

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7 9 . There are 28 red marbles in the bag and each is equally likely to be chosen. Work out how many marbles in total there must be.

Answer:

Total number of marbles = 36

Step-by-step explanation:

Marbles in bag: Red and Blue only

Probability of randomly choosing a red marble = 7/9

Number of red marbles = 28

Total number of marbles in the bag =?

Probability = required outcome / Total possible outcomes

P(red marble) = required outcome (number of red marbles) / Total possible outcomes(total number of marbles

7/9 = 28 / total number of marbles

Total number of marbles * 7/9 = 28

Total number of marbles = 28 ÷ 7/9

Total number of marbles = 28 * (9/7)

= 252 / 7

Total number of marbles = 36

Answer:

x < 6

Step-by-step explanation:

open circle < or >, closed circle ≤ or ≥

Answer:

Hey there!

That would be the square root of 36, or 6.

Hope this helps :)

Answer:

x=1.94

x = - 1.94

Step-by-step explanation:

8x² + 5 = 35

Subtract 5 from each side

8x² + 5-5 = 35-5

8x²  = 30

Divide each side by 8

8x² /8 = 30/8

x² = 15/4

Take the square root of each side

sqrt( x²) = ±sqrt(15/4)

x = ±sqrt(15/4)

x=1.93649

x = - 1.93649

To the nearest hundredth

x=1.94

x = - 1.94

Answer:

1.94

Step-by-step explanation:

[tex]8x^2+5=35\\8x^2=30 \\x^2=30/8\\x^2=3.75\\\sqrt{3.75} \\[/tex]

≈ ±1.94

Answer:

see explanation

Step-by-step explanation:

In a trapezium the lower base angle is supplementary to the upper bas angle on the same side, thus

4x + 91 - 9x + 59 = 180, that is

- 5x + 150 = 180 ( subtract 150 from both sides )

- 5x = 30 ( divide both sides by - 5 )

x = - 6

Thus

∠ N = - 9x + 59 = - 9(- 6) + 59 = 54 + 59 = 113°

∠ K = 4x + 91 = 4(- 6) + 91 = - 24 + 91 = 67°

Answer:

i am very sure that the answer is D which is domain does not change and the range changes.

Step-by-step explanation:

it is because always range value can varry more over when H(x) is equal to A and range is equal to B .

A=B

similarly

A= -B

Answer:

A.{7}^{15}

[tex]4.7475615 {}^{12}[/tex]

Step-by-step explanation:

[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]

Hope this helps ;) ❤❤❤

Answer:

prime

Step-by-step explanation:

x^2 - 2x + 3

What two numbers multiply to 3 and add to -2

There are none so this cannot be factored in the real numbers

Answer:

106°

Step-by-step explanation:

Given that the points B, C and D are colinear, it means that

2x + 40 = 5x + 10

collecting like terms

40 - 10 = 5x - 2x

3x = 30

x = 10

Hence the angle ∠E

= 5(10) + 10

= 60°

∠BCE = X + 4

= 10 + 4

= 14°

Given that the sum of angles in a triangle is 180°

∠D + 14 + 60 = 180

∠D = 180 - 74

= 106°

Answer:

[tex]\boxed{\sf Option \ 3}[/tex]

Step-by-step explanation:

When x is -2, F(x) is undefined.

When x is -1, F(x) is -3.

If we see the third option,

[tex]F(x)=\sqrt{x+1} -3[/tex]

When x is -2, we get the square root of -1, which is undefined.

When x is -1, we get the square root of 0, which is just 0, 0-3 is -3.

Answer:

Dilation factor of 3

Step-by-step explanation:

First you wil want to find out the the coordinates for each of the shapes:

Regular:

P =9,6

Q =3,6

R =6,3

S =3,3

Prime notation:

P' =3,2

Q' =1,2

R' =2,1

S' =1,1

Then using great old common sense in the picture you will see 3 units go down to 1 unit which will indicate Dilation factor of 3 as the answer!

Hope this helps!

Answer:

The Dilation of the polygon would be 3

Step-by-step explanation:

The reason the answer shall be three is because if you look at both polygons and then look at their angles you should come to notice that the angle coordinates for the polygon that has been used for dilation multiplied by 3 would be congruent to the dilated shape, so in short look at lets say... the top right angle of both polygons, look at both of them and multiply the shape that has not been dilated and multiply that top right angle by whatever equals the dilated shapes angle value, for example (3,3)x3 = (9,9), thus the answer would be that the dilation is equal to 3.

Hope this helps, have a great day, and please consider giving me a Brainliest!!! ;)

Answer:

2<F(x)<5

Step-by-step explanation:

We can guess that it come between 2 and 5 given the pattern that we see in the table, but there’s no reason we can’t solve it to be sure.

F(x)=3 (Times the square root of 1.5-1)+2

3(square root of .5)+2

3(0.7)+2

2.12+2

4.12

So, yes, it is between 2 and 5

2<F(x)<5

Answer:

64° aka D

Step-by-step explanation:

∠J + ∠L + ∠LKJ = 180°

58° + 58° + ∠LKJ = 180°

116° + ∠LKJ = 180°

∠LKJ = 180° - 116°

=  64°

hope i helped

-lvr

Answer:

dimensional figure are

Answer: B

Step-by-step explanation:

4,8 and 6 all go into 24

Answer:

Since Manish hit the target 25 - 5 = 20 times, he earned 15 * 20 = ₹ 300. Since he missed 5 times, he lost 5 * 5 = ₹ 25, therefore, he only earned 300 - 25 = ₹ 275.

Answer:

Manish hit the target=25-5=20times

He he earned=15×20=₹300

Since he missed 5 times he lost 5×5=₹25

Therefore,he only earned 300-25=₹275

I HOPE YOU LIKE IT. THIS IS THE CORRECT ANSWER

Answer:

C

Step-by-step explanation:

trust

Answer:

$ 27.6.

Step-by-step explanation:

Let the cost of tea be C.

Let the mass of tea be M

From the question given, we were told that the cost of tea varies directly with the mass. This can be expressed as:

C & M

C = KM

K is called constant of proportionality.

C is the cost of the tea.

M is the mass of tea.

Next, we shall determine the constant of proportionality, K.

Cost (C) = $ 10.35

Mass (M) = 4.5 kg

Constant (K) =..?

C = KM

10.35 = K × 4.5

Divide both side by 4.5

K = 10.35/4.5

K = 2.3

Finally, we shall determine the cost of 12kg of tea as follow:

Mass (M) = 12 kg

Constant (K) = 2.3

Cost (C) =..?

C = KM

C = 2.3 × 12

C = $ 27.6

Therefore, the cost of 12 Kg of tea is $ 27.6

Answer:

$27.6

Step-by-step explanation:

10.35 divided by 4.5 = 2.3

$2.3 for 1 kg

2.3 times 12= 27.6

Answer:

Volume of cone = 130 cm³

Step-by-step explanation:

Given:

Volume of cylinder = 390 cm³

dimensions of cylinder = dimensions of cone

Find:

Volume of cone

Computation:

Volume of cylinder = πr²h

390 = πr²h

124.090909 = r²h

So,

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)r²h...........[124.090909 = r²h]

Volume of cone = (1/3)(22/7)(124.090909)

Volume of cone = 130 cm³

Answer:

1. Cosine

2. x = 49°

3. Sine

4. y = 41°

Step-by-step explanation:

1. The trig function that will be used to solve for x is cosine.

2. Determination of angle x

x° =..?

Adjacent = 13

Hypothenus = 20

Cos x = Adjacent /Hypothenus

Cos x = 13/20

Take the inverse of Cos

x = Cos¯¹ (13/20)

x = 49°

3. The trig function that will be used to solve for y is sine.

4. Determination of angle y.

y° =..?

Opposite = 13

Hypothenus = 20

Sine y = Opposite /Hypothenus

Sine y = 13/20

Take the inverse of Sine

y = Sine¯¹ (13/20)

y = 41°

Answer:

a) 4 : 1 : 10

b) 25 : 9 : 13

c) 18 : 11 : 3

d) 2000 : 20 : 1

Step-by-step explanation:

We are to put the values in the form a : b : c

a) 40 ml, 1/100 l, 0.1 l

Put them all in ml (1 l = 1000 ml)

40ml, 10 ml, 100 ml

Therefore:

40 : 10 : 100

In lowest terms, 4 : 1 : 10

b) 2 1/2 kg, 900 g, 1.3 kg

Put them all in grams, (1 kg = 1000 g):

2500 g, 900 g, 1300 g

Therefore:

2500 : 900 : 1300

In lowest terms, 25 : 9 : 13

c) 1.5 hrs, 55 minutes, 1/4 hrs

Put them all in minutes (1 hour = 60 minutes)

90 minutes, 55 minutes, 15 minutes

Therefore:

90 : 55 : 15

In lowest terms, 18 : 11 : 3

d) 60 cm, 6 mm, 0.03 cm

Put them all in mm (1 cm = 10 mm)

600 mm, 6 mm, 0.3 mm

Therefore:

600 : 6 : 0.3

In lowest terms, 2000 : 20 : 1  (Divide by 0.3 because a ratio cannot be decimal)

Answer

(a - y) (b - y)

Step-by-step explanation:

(ab - ay) (-by + y^2)

a (b - y)  -y ( b - y)

(a-y) (b - y)

.. ..

Answer:

[tex]\boxed{(a-y) (b - y)}[/tex]

Step-by-step explanation:

Rearrange the terms.

[tex](ab - ay) (-by + y^2)[/tex]

Factor out common term.

[tex]a (b - y) -y ( b - y)[/tex]

Apply rule : [tex]a(b+c)+d(b + c) = (a+d)(b+c)[/tex]

[tex]a (b +- y) +-y ( b +- y)[/tex]

[tex](a+-y) (b +- y)[/tex]

Answer:

Distance between Amanda and Angela (c) = 4.30 km (Approx)

Step-by-step explanation:

Given:

Amanda rides (a) = 10 km

Angela rides (b) = 12 km

Angel between them = 20°

Find:

Distance between Amanda and Angela (c)

Computation:

Using law of cosines:

c² = a² + b² - 2abCosФ

c² = 10² + 12² - 2(10)(12)Cos20°

c² = 100 + 144 - 2(10)(12)(0.9397)

c² = 244 - 225.528

c² = 18.472

c = 4.2979

Distance between Amanda and Angela (c) = 4.30 km (Approx)

Answer:

Option C is the correct option.

Step-by-step explanation:

[tex]f(x) = a {x}^{2} + bx + c[/tex]

Discriminant = [tex] {b}^{2} - 4ac[/tex]

Given d = 15

When discriminant D > 0 --> roots are real and distinct. ( unequal )

So , [tex] {3}^{rd} [/tex] option has real and distinct roots.

Hope this helps..

Best regards!!

Answer:

Step-by-step explanation:

If m∠CED = 30° and m∠CDE = 90° than triangle CED is half of equilateral triangle where CE is side of the equilateral triangle, DE is hight of equilateral the triangle and CD is half of side of the equilateral triangle.

[tex]\dfrac{CE\sqrt3}2=2\sqrt3\\\\CE\sqrt3=4\sqrt3\\\\CE=4=s\\\\CD=\dfrac s2=\dfrac42=2[/tex]

Answer:

Step-by-step explanation:

[tex]A = (-2, -4) \\ B = (-8, 4) \\ d = (\sqrt{( {x_2 - x_1})^{2} + ({y_2 - y_1})^{2} } [/tex]

[tex]x_1 = - 2 \\ y_1 = - 4 \\ x_2 = - 8 \\ y_2 = 4[/tex]

[tex]d = \sqrt{ {( - 8 - ( - 2)}^{2} + {(4 - ( - 4))}^{2} } \\ d= \sqrt{ {( - 6)}^{2} + {8}^{2} } \\ d = \sqrt{36 + 64} \\ [/tex]

[tex]d = \sqrt{100} \\ d = 10[/tex]

Answer:

10

Step-by-step explanation:

Answer: P(t) = $1000*2^t

Step-by-step explanation:

Ok, we know that in the week 1 the price is: p = $1000

After one week, the price doubles, so here we have: p = 2*$1000

After another week, the price doubles again, here the price is:

p = 2*(2*$1000) = $1000*2^2

Here we already can see the relation, for each week, we multiply the previous price by two, which will increase the exponent in the two by 1 unit.

Then, for week number t, the price will be:

P(t) = $1000*2^t

Answer:

[tex] r = 17.5 [/tex]

Step-by-step explanation:

Given ∆TRS,

Where,

m < R = 105°

TR = s = 15

RS = t = 6

ST = r = ?

Find r using the Law of Cosines.

[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]

Plug in the values stated above into the formula

[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]

[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]

[tex] r^2 = 261 + 46.584 [/tex]

[tex] r^2 = 307.584 [/tex]

[tex] r = \sqrt{307.584} [/tex]

[tex] r = 17.5 [/tex] (to the nearest tenth)

Answer:

Approximately 11.5 units.

Step-by-step explanation:

We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.

Now, like last time, use the Law of Sines:

[tex]\frac{\sin(V)}{v}=\frac{\sin(W)}{w}=\frac{\sin(X)}{x}[/tex]

We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for x.

[tex]\frac{\sin(144)}{w}=\frac{\sin(21)}{7}[/tex]

Cross multiply:

[tex]7\sin(144)=w\sin(21)\\w=\frac{7\sin(144)}{\sin(21)} \\v\approx11.4812\approx11.5[/tex]

Answer: M^10

Step-by-step explanation:

since the base number is the same, just add up the exponents: 2+5+3=10

Answer:

Step-by-step explanation:

If its like M^2 x M^5 x M^3 (exponents)

then just add 2+5+3=10

so M^10

Its a rule when the bottom (M) is the same you add the exponents.

If its 2M x 5M x 3M then you multiply

2x5x3=30

so 30M

Hope this helps!