How do I solve this?

Answer:

[tex]\sin 75\degree=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

Step-by-step explanation:

The haf-angle formula is given by:

[tex]\sin \frac{1}{2}\theta =\sqrt{\frac{1-\cos \theta}{2} }[/tex]

[tex]\sin 75\degree=\sin \frac{1}{2}(150\degree)[/tex].

This implies that:

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{1-\cos 150\degree}{2} }[/tex]

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{1--\frac{\sqrt{3}}{2}}{2}}[/tex]

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{2+\sqrt{3}}{4}}[/tex]

We simplify the square root to obtain:

[tex]\sin \frac{1}{2}(150\degree)=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

Answer:

[A]    [tex]\frac{\sqrt{2 + \sqrt{3} } }{2}[/tex]

ANSWER

A) 7

EXPLANATION

The given triangles are similar

Hence the corresponding sides are in the same proportion.

[tex] \frac{3x + 4}{30} = \frac{30}{36} [/tex]

Simplify the right hand side:

[tex]\frac{3x + 4}{30} = \frac{5}{6}[/tex]

Cross multiply;

6(3x+4)=5×30

Expand

18x+24=180

18x=150-24

18x=126

[tex]x = \frac{126}{18} = 7[/tex]

Answer:

1/48

Step-by-step explanation:

The probability of both happening is equal to the product of each probability.

P(A and B) = P(A) × P(B)

P = 1/12 × 1/4

P = 1/48

Answer:

i agree that the answer is 1/48

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The disciminant [tex]\Delta[/tex] tells you how many real solutions a quadratic equation has, depending on its sign:

[tex]\Delta>0\implies\text{2 solutions}\\\Delta=0\implies\text{1 solution}\\\Delta<0\implies\text{no solutions}[/tex]

ANSWER

0

EXPLANATION

The discriminant of a quadratic equation in the form

[tex]a {x}^{2} + bx + c = 0[/tex]

is given by

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

The discriminant of a quadratic equation tells us the nature of the roots of that quadratic equation.

If the discriminant is negative, the equation has no real roots.

If the discriminant us positive, the equation has two real roots.

If the discriminant is zero, the equation has a repeated root.

Since the discriminant is -6, the equation has no real roots.

In other words, the number of real roots is 0.

Hello There!

The "Probability" of turning on the right road is 1/3 also known as a 33.3% chance. This would be unlikely

Answer:

(6,4)

Step-by-step explanation:

y = x-2

y =4

Set the two equations equal

x-2 =4

Add 2 to each side

x-2+2 = 4+2

x =6

Now we need to find y

y =4

(6,4)

Answer:

Step-by-step explanation:

For question 4, the top equation has an x and a y value in it. The second equation is just a y value. So put the 4 into the top equation.

4 = x - 2                   Add 2 to both sides

4 + 2 = x -2 + 2

6 = x

You can actually graph this to show that the solution set is (6,4) The solution set is marked (6,4).

The read line is y = x - 2

The blue line is y = 4

Answer:

The distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′ is equal to [tex]5\ units[/tex]

Step-by-step explanation:

we know that

To find the distance, apply the Pythagoras Theorem

Let

x ----> the distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′

[tex]x=\sqrt{4^{2}+3^{2}} \\ \\x=\sqrt{25}\ units\\ \\x=5\ units[/tex]

Answer:

18

Step-by-step explanation:

(3x)(3y)

= (3)(-2)(3)(-1)

= 18

Answer:

Step-by-step explanation:

[tex]\sum\limits_{k=2}^54k\\\\\text{Make a sum with components equal to 4k,}\\\text{ where k = 2, k = 3, k = 4 and k = 5}:\\\\4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20\\\\8+12+16+20=56[/tex]

There are two lines from the center of the circle labeled 5.

The lines at 90 degrees from the 5 are chords.  Because both lines are the same distance from the center they are the same length.

The one on the top is labeled as 9, so the line on the bottom is also 9 units long.

X is half the length, so would b 9 /2 = 4.5 units long.

first, make an equation:

[tex] - 54 = - 3x - 12[/tex]

then, add twelve to both sides to remove it from the right:

[tex] - 42 = - 3x[/tex]

then just divide by (-3) to get the value of x:

[tex]x = 14[/tex]

The student's question involves setting up and solving a simple algebraic equation. By following the order of operations and isolating the variable, we find that the unknown number is 30.

To solve the problem stated, 'If you subtract 12 from my number and multiply the difference by -3 the result is -54', let's establish a variable to represent the unknown number. Let's call this number 'x'. According to the problem, we need to perform two operations on this number:

1. Subtract 12 from the number x. 2. Multiply the result by -3, which should result in -54.

This establishes the equation:

(x - 12) × -3 = -54

To find x, we'll follow these steps:

Divide both sides of the equation by -3 to isolate the term (x - 12): (x - 12) = -54 / -3 (x - 12) = 18

Add 12 to both sides of the equation to solve for x: x - 12 + 12 = 18 + 12 x = 30

Therefore, the number we're looking for is 30.

Answer:

96cm2

Step-by-step explanation:

Area of rhombus=1÷2×d1×d2

=1÷2×12×16

=96

96cm². The are of the rhombus of the image is 96cm².

The key to solve this exercise is breaking down the rhombus in four equals right triangles, each triangle has the sides 10cm, 8cm and 6cm. We can calculate the area of one right triangle and multiply by 4 in order to get the total area of the rhombus.

The area of a triangle is [tex]A_{t}=\frac{bxh}{2}[/tex] where b is the base and h is the height.

The base of the one right triangle is 8cm and the height is the leg adyacent to the right angle that is 6cm. Calculating the area of the right triangle:

[tex]A_{t}=\frac{8cmx6cm}{2}=\frac{48cm^{2} }{2} =24cm^{2}[/tex]

The total area of the rhombus is [tex]A = 4A_{t}[/tex]

[tex]A = 4x24cm^{2}=96cm^{2}[/tex]

Answer:99.7 percent

Step-by-step explanation:

For a data set with a symmetric distribution , approximately 68.3 percent of the values will fall within one standard deviation from the mean, approximately 95.4 percent will fall within 2 standard deviations from the mean, and approximately 99.7 percent will fall within 3 standard deviations from the mean.

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

Answer:

B.  4x + 1

Step-by-step explanation:

4x^2 + 21x + 5

= (4x + 1)(x + 5)

Factors of this trinomial are (4x + 1) and (x + 5)

Answer

(4x + 1)

Answer:

4x+1

Step-by-step explanation:

just toook the test

I found it by random. You times the ratio by 4 to get 36 puppies and kittens combined.

If the puppies was 5 then 5 x 4 = 20 puppies in their sales.

If the puppies was 4 then 4 x 4 = 16 puppies in their sales.

I couldn't tell if the ratio was in the according order of puppies and then kittens or if that was just saying what the ratio was about.

Let us consider the ratio to be x

So, as per the question's statement, we can write it as;

 [tex]5x+4x=36[/tex]

⇒[tex]9x=36[/tex]

We will divide 9 on both the sides, we get;

⇒[tex]x=\frac{36}{9}=4[/tex]

So, for getting the number of puppy sold we have to multiply it with 5, we get;

[tex]5x=5*4=20[/tex]

They have sold 20 puppies.

Hence, the answer is [tex]20[/tex] puppies.

Divide data A by data B to find your ratio. In the example above, 5/10 = 0.5. Multiply by 100 if you want a percentage. If you want your ratio as a percentage, multiply the answer by 100

Ratios can be fully simplified just like fractions. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided any more

.Learn more about ratios, refer to:

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One solution

The two (or more) equations would only intersect once

No solution

Lines never intersect

The lines are parallel

Infinite solutions

The lines are the exact same

That’s all the characteristics I know

Answer:

C. Positive

Step-by-step explanation:

When x and y are both increasing, the slope of the line of best fit is positive, and so is the correlation. Hope this helps!

Answer

positive

Explanation

The answer is positive correlation, since all four of the graphs indicate the increase of all the variables.

It could not be negative correlation, because the line on graph would have more of a downward appearance.

Answer:

Step-by-step explanation:

Factor numerator: x^2 + x - 12 = (x + 4)(x - 3)

Factor denominator: x^2 + 7x + 12 = (x + 3)(x + 4)

Notice that the numerator and denominator have a common factor (x + 4).

They can cancel.

What is left is (x - 3)/(x + 3)

Answer:

1) (-2)+3

-2+3

=1

2) (-14)+(-7)

-14-7

=-21

3) 3-(-8)

3+8

=11

4) (-9)+14

-9+14

=5

5) (-8)-(-2)

-8+2

=-6

6) 5+(-8)

5-8

=-3

7) (-27)-24

-27-24

=-51

8) (-41)+(-40)

-41-40

=-81

9) 38-(-17)

38+17

=55

10) (-44)+(-9)

-44-9

=-53

11) (-16)-(-36)

-16+36

=20

12) (-6)-24

-6-24

=-30

hope this helps :)

Answer: When I converted it on a calculator it gave me 3/125 hope that is what you were looking for.

Step-by-step explanation:

Answer:3 over 125

plzz give brainliest i am 100% sure

Step-by-step explanation:

Steps to convert decimal into fraction

Write 0.024 as  

0.024

1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.024 × 1000

1 × 1000

=  

24

1000

Reducing the fraction gives

3

125

Answer:

86 - 9x

Step-by-step explanation:

In a rhombus, adjacent angles are supplementary.  So:

∠ADE + ∠EDC + ∠DCE + ∠ECB = 180

Also, the diagonals of a rhombus are perpendicular.  Since the sum of a triangle's angles add up to 180:

∠EDC + 90 + ∠DCE = 180

∠EDC + ∠DCE = 90

Substituting:

∠ADE + 90 + ∠ECB = 180

∠ADE + ∠ECB = 90

∠ADE + 9x + 4 = 90

∠ADE = 86 - 9x

∠ADB is the same as ∠ADE, so the answer is 86 - 9x.

Angle ∠ADB is 41°.

It is a polygon that has four sides and four corners. The sum of the internal angle is 360 degrees. In Rhombus opposite sides are parallel and all sides are equal. And its diagonals intersect at the right-angle.

Given

A rhombus ABCD,

∠DCA = 13x - 16

∠ACB = 9x + 4

The measure of ∠ADB.

We know that the angle ∠DCA and  ∠ACB are equal.

13x - 16 = 9x + 4

13x - 9x = 4 + 16

       4x = 20

         x = 5

So the angle ∠DCA and ∠ACB will be

∠DCA = 13x - 16 = 64 - 16 = 49

∠ACB = 9x + 4 = 45 + 4 = 49

The sum of the internal angle is 360 degrees

∠ABC + ∠BCD + ∠CDA + ∠DAB = 360

∠CDA + ∠BCD + ∠CDA + ∠BCD = 360

                            ∠ABC + ∠BCD = 180

                                  ∠CDA + 98 = 180

                                          ∠CDA = 82

So we know

2 x ∠ADB = ∠CDA

2 x ∠ADB = 82

     ∠ADB = 41

Thus, Angle ∠ADB is 41°.

More about the rhombus link is given below.

https://brainly.com/question/14462098

The correct answer is C. 604,800.

To calculate this, we can use the formula for permutations:

P(n, k) = n! / (n-k)!

In this case, we have 9 digits (0-9), and we want to create a 7-digit phone number. Since the first digit cannot be 0, we have 9 choices for the first digit, and 9 remaining choices for each subsequent digit (since numbers cannot be repeated).

So, the total number of possible phone numbers is:

P(9, 7) = 9! / (9-7)! = 9 × 8 × 7 × 6 × 5 × 4 × 3 = 604,800

Therefore, the correct answer is C. 604,800.

Answer:

See attached file

Step-by-step explanation:

Answer:

x = - 3

Step-by-step explanation:

To find the zeros set f(x) = 0, that is

(x + 3)(x - 7)(x + 5) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 7 = 0 ⇒ x = 7

x + 5 = 0 ⇒ x = - 5

That question is not a statistical question since there will be only one answer. If it were to be statistical it would have multiple answers an example of that type of question would be, Why did you decide to try out for the volleyball team? This is statistical because some could say they joined for fun, credits, to do something active, etc.. there would be multiple answers. Your question, How many students tried out for the volleyball team isn't statistical since it will have one answer such as, 26 students, 15 student, 2 students, etc...

Hope this helped!

The question about how many students tried out for a volleyball team relates to statistics. It involves collecting, analyzing, and interpreting numerical data. For example, the number of students trying out for the team can be used as statistical data.

The question 'How many students tried out for the volleyball team?' is one that relates to statistics. This is because it seeks to gather numerical data (in this case, the number of students) related to a specific event (trying out for the volleyball team). Therefore, the process of answering this question would involve collecting, analyzing, interpreting, presenting, or organizing this data.

For instance, let's say that 30 students tried out for the volleyball team. This count is a piece of statistical data which may be further used to compare with previous years, calculate percentages, or make projections for following years.

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Answer:

(-4, -5) it gives the answer in the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

DDD

DDC

CDD

CCC

CCD

DCC

Answer:

Step-by-step explanation:

If the mean is 110, and the standard devaition is 22,

1 standard dev. below the mean is 110-22

2  standard dev below the mean is 110-22-22

3 standard dev below the mean is 110-22-22-22

Hope that helps!

The score that is 3 standard deviations below the​ mean will be 44.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The scores on a test are normally distributed with a mean of 110 and a standard deviation of 22.

Then the score that is 3 standard deviations below the​ mean will be

The first standard deviation below the mean will be

⇒ 110 - 22

⇒ 88

The second standard deviation below the mean will be

⇒ 110 - 22 - 22

⇒ 66

The third standard deviation below the mean will be

⇒ 110 - 22 - 22 - 22

⇒ 44

More about the z-score link is given below.

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Final answer:

To solve the inequality 14 - 3x < -1.14, subtract 14 from both sides, then divide by -3 and remember to reverse the inequality, resulting in the solution set x > -5.05.

Explanation:

To find the solution set of the inequality 14 - 3x < -1.14, follow these steps:

Therefore, the solution set for the inequality is all real numbers greater than -5.05.