Can someone please help with my question?

The value of x in the given object is 12.

The given shape is an equilateral triangle. A triangle is a three-sided polygon with three edges and vertices. The sum of angles in a triangle is equal to 180 degrees.

An equilateral triangle is a triangle in which the three angles are equal. This means that each angle in an equilateral triangle measures 60 degrees. Also, in an equilateral triangle the three sides are equal.

Since, all the three sides of an equilateral triangle is equal, the expressions for their sides can be equated to each other to determine the value of x

4x - 10 = 5x - 22

Combine similar terms: 22 - 10 = 5x - 4x

Add similar terms: 12 = x

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The statement that the set {-1, 0, 1} is closed under multiplication, is true and can be proven.

As per the question statement, we are provided with a set {-1, 0, 1}.

We are required to determine if the above mentioned set is closed under multiplication or not.

To solve this question, we simply need to verify if the products of every distinct combination of 2 elements from the concerned set, belongs to the set itself or not, i.e., if we take any two elements "x" and "y", say, from the set "Z", then, [(x*y) ∈ Z].

Here, [tex][(-1)*0]=0[/tex], i.e., belongs to set {-1, 0, 1}.

[tex][(-1)*1]=(-1)[/tex] i.e., also belongs to set {-1, 0, 1}.

Finally, [tex](0*1)=0[/tex] i.e., also belongs to set {-1, 0, 1}.

Since,  the products of every distinct combination of 2 elements from the concerned set, belongs to the set itself, the statement that the set

{-1, 0, 1} is closed under multiplication, is true and proven.

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The equation that can be used to find z in the right triangle is sin 28° = 20 / z

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The side and angles of a right angle triangle can be found using trigonometric ratios.

The triangle XMI is a right angle triangle.

where

∠M = 90 degrees

∠X = 28 degrees

∠I = ?

Therefore, the side z can be found as follows;

sin ∅ = opposite / hypotenuse

where

opposite side = 20

∅ = 28°

Hence,

sin 28° = 20 / z

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Answer: a

Step-by-step explanation:

a

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

The explanation is below. Enjoy!

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

First off- I'll divide the total by two. This ensures they both have a basic height.

108 / 2 = 54

Say Claire is double Zoe's height, divide 54 (Zoe's height) by 2 and give the quotient to Claire.

54 / 2 = 27

(Claire's height)

54 + 27 = 81 inches

(Zoe's height)

27 inches

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Have a great day/night!

(Consider leaving a Brainly, it'd help me quite a bit!)

~pinetree

Answer:

35

Step-by-step explanation:

-a +5y

-(-5) +5(6)

5 + 30

35

A kind of sampling strategy least likely to produce statistics that are good estimates of population parameters is a haphazard sample.

A haphazard sampling is method of sampling in which  the performer does not intend to use a systematic approach  for choosing a sample rather they do the random selection without using anu conscious bias.

Haphazard sampling assumes that all population units are alike but  unless they are really similar there is always a chance of selection falling prey to biases. Therefore, haphazard sample is least likely to produce statistics that are good estimates of population parameters.

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Answer:

 189 tickets

Step-by-step explanation:

The ratio 8 : 1 has a difference of 7 ratio units. The difference in tickets is 147, so each ratio unit must represent ...

 (147 tickets)/(7 ratio units) = 21 tickets/ratio unit

The total sales was 8+1 = 9 ratio units, so was ...

 (9 ratio units)(21 tickets/ratio unit) = 189 tickets

brainy please

Based on this parallel lines cut by a transversal, the true statements include the following:

B. m∠1 + m∠3 = 180 because they form a straight angle.

C. ∠3 ≅ ∠6 because they are alternate interior angles.

D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees (180°).

In conclusion, ∠1 and ∠6 are supplementary angles because ∠3 is congruent to ∠6 and m∠1 + m∠3 = 180 degrees as shown in the image attached below.

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Complete Question:

Select all the true statements. Two parallel lines cut by a transversal. The transversal makes 4 angles with the top line. Angles 1 and 2 are above the line and angles 3 and 4 are between the lines. The transversal also makes 4 angles with the bottom line. Angles 5 and 6 are between the lines and angles 7 and 8 are below the bottom line. Between the lines, angles 3 and 6 are on opposite sides of the transversal and angles 4 and 5 are on opposite sides of the transversal.

A. ∠3 ≅ ∠2 because they are alternate interior angles.

B. m∠1 + m∠3 = 180 because they form a straight angle.

C. ∠3 ≅ ∠6 because they are alternate interior angles.

D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.

E. ∠1 ≅ ∠3 because they are vertical angles.

Answer:

$8.20

Step-by-step explanation:

2.35+2.35=4.7

4.7+1.5=6.2

6.2+2=8.2

Answer:

4731

Step-by-step explanation:

4389+342=4731

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After excavating and inserting bushes, the hole's elevation in feet is 1 1/10 feet.

3/5 feet per 10 minutes are dug up on average.

After 30 minutes, the elevation or depth of the hole:

3/5 × (30/10) = (3/5 × 3) = 9/5 feets

Consequently, after 30 minutes, the hole's height will be 9 1/2 feet.

Elevation after planting bushes in half of the hole:

After 30 / 2 minutes, the hole's elevation was 2/ (9/5)

=2/(9 /5 )

= (9 /5 ) × 1/2

= 9/10 feet.

Consequently, the hole is elevated by 1 1/10 of a foot above the surrounding ground.

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After 7 years, the total amount accumulated is $13,691.43.

For the given question;

The formula for compound interest is;

CI = P(1 + r/n)∧nt

The rate rate of interest is according to APR; r = 4.4% = 0.044

P = principal amount ($5800).

t  = time in years (7 years)

n = number of times interest given per time period

n = 7×12 = 84 (as compounded monthly)

CI = 5800( 1 + 0.044/84)∧(84×7)

CI = 5800×(1.36)

CI = 7891.43

Thus, the total interest formed after 7 years.

Total amount in bank = principal amount + CI

                                   = 5800 + 7891.43

                                   = 13,691.43

Therefore, the total amount accumulated after 7 years is $13,691.43.

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Answer:Zero-0 divided by 8 3

Step-by-step explanation:

In quartic equation, The player will catch the ball on its way down, at about 4.346 seconds. .

What is the quartic equation's formula?

h  =  -16t2 + 70t + 4

We want to know how many seconds it takes for the ball to be 6 feet above the ground.

We want to know the value of  t  when  h = 6 .  So plug in  6  for  h  and solve for  t .

6  =  -16t2 + 70t + 4       Subtract  6  from both sides of the equation.

0  =  -16t2 + 70t - 2        Let's solve this quadratic equation using the quadratic formula.

t = -70 ± √70² - 4( -16)(-2)/2(-16)

t = -70 ± √4900 -128/ -32

t = -70 ± √4772/ -32

t = -70 + √4772/ -32 ≈ 0.029

t = -70 - √4772/ -32  ≈ 4.346

So we know that

(a) at 0.029 seconds, the ball is 6 feet above the ground and on its way up,  and

(b ) at 4.346 seconds, the ball is 6 feet above the ground and on its way down.

The player will catch the ball on its way down, at about 4.346 seconds.

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Answer:

Step-by-step explanation:

Because 8 2/3 is basically 8.66666666... (you can find this out by doing division 2÷3)

There's an infinite amount of 6's at the end and so the answer got rounded up to 8.67.

Anything above 5 when rounding will be rounded up.

Answer:

There are 63 M&M's in the bag when all of them are added together.

16 out of 63 (16/63) were yellow.

5 out of 21 (5/21) were green. This answer is simplified. The original is 15/63.

1 out of 3 (1/3) were brown. This answer is simplified. The original is 21/63.

11 out of 63 (11/63) were red.

Tip:

To find the fraction of something, put the total on the bottom and the wanted portion on the top.

Example: 5 yellow and 10 red birds were in a cage. Which fraction were yellow?

We put the total of birds (5+10 = 15) on the bottom and the portion wanted ("5 yellow") on the top. The fraction is 5 out of 15 (5/15). This fraction can be simplified because 5 goes into 15 three times (5 x 3 = 15), so divide the fraction 5/15 by 3 to get 1/3. (5 goes into 5 one time.)  

10 percent of the students failed in all three subjects.

Let the us assume that the total number of students in the school are 100.

Thus, according the the information given-

number of students who passed in all three subjects = 20

⇒ number of students who failed in at least one subject = 100 - 20 = 80

Let the number of people who failed in all three subjects be a

Then, as per the given information, we can make a venn diagram as shown in the figure below.

Now, the sum of all the terms in the venn diagram must be 80 since 80 people failed in at least 1 subject. Thus, we get the following equation-

a -3 + 35 - a + 25 - a + a + a - 4 + 15 - a + 2 + a = 80

a + 32 + 25 + 11 + 2 = 80

a + 70 = 80

a = 80 - 70

a = 10

Thus, the percentage of the students who failed in all 3 subjects will be-

10/100 × 100

= 10%

Hence, 10 percent of the students failed in all three subjects.

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Answer:

What digital/technological features will your futuristic bath/shower time utilize?

The set which represents whole numbers but are not natural numbers is:{0,1,2,3 }

Given, we have the following sets:

{₋2,₋3,₋4} = Integers

Negative numbers and all entire numbers are both considered integers. A number without a decimal or fractional element is known as an integer, which encompasses both positive and negative numbers, including zero.

{0,1,2,3} = whole numbers

Whole numbers refer to all natural numbers, including zero (0). We are aware that the term "natural numbers" refers to a group of counting numbers beginning with 1, 2, 3, and so forth. Simply said, a collection of numbers that are whole numbers are those that do not contain any fractions, decimals, or even negative integers. There are zeroes and a group of positive integers in it. whereas all positive integers from 1 to infinity are included in the number system, which also contains natural numbers, which are also used for counting. There is no zero included.

{√₋1 , √₋4 , √₋5 }= Irrational numbers

We are aware that the only numbers that cannot be stated in the form of p/q, where p and q are integers and q 0, are real numbers. For instance, the numbers √5, √3, and so on are irrational.

hence we get the set which represents whole numbers but not natural numbers is {0,1,2,,3,4}

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Answer:

x∈(−25,25)

4x2−25<0

Add 425 to both sides.

x2<425

Calculate the square root of 425 and get 25. Rewrite 425 as (25)2.

x2<(25)2

Inequality holds for ∣x∣<25.

∣x∣<25

Rewrite ∣x∣<25 as x∈(−25,25).

x∈(−25,25)

Answer:  x > 5/4

First, add 25 to both sides

4x² < 25

Then take the square root

4x < 5

Finally, isolate the variable by dividing by 4

x < 5/4

Because you divided, the sign gets flipped

x > 5/4

Hope this helps!

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The probability distribution for X in a day care center where each child takes three classes and either passes or fails each class will be:

0 = 1/4

1 = 1/4

2 = 1/4

It should be noted that from the information, the grades are shown in the table below.

P represents a passed class.

F represents a failed class.

X represent the number of classes failed by a child.

The probability that the number of classes failed by a child is 0 will be:

= 2/8

= 1/4.

The probability that the number of classes failed by a child is 1 will be:

= 4/8

= 1/2

The probability that the number of classes failed by a child is 2 will be:

= 2/8

= 1/4.

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I'll use x in place of θ

Let's isolate the sine term and then square both sides

3sin(x) + 4cos(x) = 5

3sin(x) = 5-4cos(x)

(3sin(x))^2 = ( 5-4cos(x) )^2

9sin^2(x) = 25-40cos(x)+16cos^2(x)

9sin^2(x) = 25-40cos(x)+16(1-sin^2(x))

9sin^2(x) = 25-40cos(x)+16-16sin^2(x)

9sin^2(x)+16sin^2(x) = 25-40cos(x)+16

25sin^2(x) = 41-40cos(x)

25(1-cos^2(x)) = 41-40cos(x)

25-25cos^2(x) = 41-40cos(x)

Now let w = cos(x), so we now have the following

25-25w^2 = 41-40w

25w^2-40w+41-25 = 0

25w^2-40w+16 = 0

(5w - 4)^2 = 0

5w-4 = 0

w = 4/5

Therefore cos(x) = 4/5

Use the pythagorean theorem or unit circle to find that if cos(x) = 4/5, then it leads to sin(x) = 3/5. This is exactly because of the 3-4-5 right triangle.

Then lastly,

tan(x) = sin(x)/cos(x)

tan(x) = sin(x)  ÷  cos(x)

tan(x) = (3/5)  ÷  (4/5)

tan(x) = (3/5)  *  (5/4)

tan(x) = (3*5)/(5*4)

tan(x) = 3/4

The column vector is discussed below.

In order to write a vector as a column vector: Work out the horizontal component ( x component). Work out the vertical component ( y component). Write the column vector.

Given:

a + b- c

So, If the number is positive, the direction is to the right.  

If the number is negative, the direction is to the left.

Also, If the number is positive, the direction is upwards.  

If the number is negative, the direction is downwards.

So, according to that 'a' will be in right ( upward) direction and 'b' also be in right ( upward) direction.

Then, 'c' is negative in left ( downward ) direction.

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The mode for the following distribution is-

Number Frequency 36, 3, 40, 5 ,44, 9, 48, 7 ,52 7, 56, 5, 60, 3

is 56.

Mode is most occurring number  is 56.

One of the values of the measurements of central tendency is the mode. This figure offers us an approximate notion of which elements in a data collection appear the most frequently.

For example, you may be aware that a college offers ten distinct courses to students. Now, out of them, the course with the most student registrations will be counted as the mode of our supplied data (number of students taking each course). Overall, mode notifies us about the item with the highest frequency in the data set.

The mode is one of the values of the central tendency measurements. This number offers us a sense of which elements in a data collection appear the most frequently.

For example, you may be aware that a college offers ten distinct courses to students. Out of these, the course with the most student registrations will be counted as the mode of our supplied data (number of students taking each course). Overall, mode informs us about the most frequent item in the data collection.

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Answer:

The answer is 44, as it occurs most frequently. The easiest way to remember this is "mode" equals "most".