Find the values of y in the following figures

(Give your answers correct to 3 significant figures if necessary)

The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

1 in, 2 in, 3 in, 4 in, and so on

The above shows the arithmetic sequence,

The sum of the n natural number is given by:

[tex]\rm S_n = \dfrac{n(n+1)}{2}[/tex]

[tex]\rm 90 = \dfrac{n(n+1)}{2}[/tex]

After solving, we will get a quadratic equation:

n² + n -180 = 0

After solving, we will get:

n = 12.92 and n = -13.92(term can not be negative)

n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

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The value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

In the given figure, the side opposite to the angle [tex]\beta[/tex] is AC = 4 and the hypotenuse is AB = 5.

So, the sine ratio will be equal to,

[tex]\sin \beta=\dfrac{4}{5}[/tex]

Therefore, the value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.

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Answer:

371/999

Step-by-step explanation:

all repeating numbers like that just go over nines. Two repeating? Over 99. Four repeating? Over 9,999

We will see that:

h(g(g(x)) = -78 + 24x

Which means that the statement is false.

Here we have that:

g(x) = 13 - 2x

h(x) = 6x

Now we want to find the composition of functions:

h(g(g(x))

First, let's find g(g(x)) = 13 - 2*g(x) = 13 - 2*(13 - 2x) = 13 - 26 + 4x

g(g(x)) = -13 + 4x

Now let's evaluate h(x) in that:

h(g(g(x)) = 6*g(g(x)) = 6*(-13 + 4x) = -78 + 24x

This is not equal to what we have in the question, so we conclude that the statement is false.

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Answer:

Cos 0 = 15/17

Step-by-step explanation:

.................................................

Answer:

[tex]-53+22i[/tex]

Step-by-step explanation:

You can simply use the FOIL method, but keep in mind that [tex]i^2=-1[/tex]:

[tex](1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i[/tex]

Answer:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

Answer:

maximum

Step-by-step explanation:

the vertex will give the maximum value for y, which is 3

The solution to this equation is p = -6

First degree equation is a mathematical expression and sentence, which is defined by having only one unknown. Its representation is given by: ax+b=0.

— To solve this expression, let's eliminate these square root symbols:

√-5p = √24-p

-5p = 24 - p

— Move the p term before the positive sign equality, thus also shifting the 24th term:

-5p = 24 - p

-5p + p = 24

-4p = 24

— Finally, let's divide the second to the first term of this equation:

-4p = 24

p = 24 ÷ (-4)

p = -6

Therefore, the correct result of this expression will be p = -6

Answer:

7 1/4

Step-by-step explanation:

7+16/4*(1/2)*4

7+16/4*(1/16)

7+4*1/16

7+1/4=7 1/4

I think this is correct

Answer:

Width = 9ft.

Length=22ft.

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation: Combine multiplied terms into a single fraction

Answer: Heyaa! ~

Your Answer for X = 7

Step-by-step explanation:

             How to solve:

Hopefully this helps you! ^

Answer:

It’s B

Step-by-step explanation:

they are a linear pair, when added up,the equal 180, so u would subtract 56 from 180 to get the answer.

ur wlcm :)

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A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.

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Answer:

90

Step-by-step explanation:

each minute on the clock is 6 degrees so 6*5=30= 1 hour

30*3=90 because 3 hours

AB=AD=8CM

Step-by-step explanation:

I Go To that school

Answer:

Before you write the answer to your question, make sure the question is asking for the actual value of pi or 3.14.

If the question was asking for the question to be completed with the ACTUAL VALUE of pi, then your answer is ----> 4.37

If the question was asking for the question to be completed with the rounded of pi (3.14), then your answer is ----> 4.38

It's a subtle difference, but remember, there is no such thing as close in math, it's either right or wrong.

Step-by-step explanation:

Given: Circle's Area, 60.12

As the value of pi was not directly stated, I will divide the answer into 2 portions, portion one with the answer with the actual infinite value of pi, and one where I will describe how to do it with 3.14 as pi.

Explanation with 3.14:

First thing first, know the formula for calculating the area of a circle:

[tex]A = \pi r^2[/tex]

[tex]A[/tex] stands for Area, and [tex]r[/tex] stands for Radius

Now, plug in the given values:

[tex]60.12 = \pi r^2[/tex]

Next, replace 3.14 for pi:

[tex]60.12 = (3.14)r^2[/tex]

Then, divide both sides by 3.14 ,which gives us:

[tex]19.15 = r^2[/tex]

Please note: 19.15 is rounded

Anyway, to isolate [tex]r[/tex], we take the square root of both sides:

[tex]\sqrt{19.15} = \sqrt{x^2}[/tex]

The square root and square on the right side of the equation cancel out, and we are left with:

[tex]4.38 = r[/tex]

Please note that 4.38 was rounded

Answer:

2 hours

Step-by-step explanation:

8:45-6:45=2:00

The supplement of each interior angle has measure

180° - 165° = 15°

and so

n = 360°/15° = 24

since the exterior angles add up to 360° and are all congruent.

Answer:

the second one

Step-by-step explanation:

Answer:

It will take 3 3/4 cups of sugar and 5 1/4 cups of flour.

Step-by-step explanation:

Multiply 1 1/4 and 1 3/4 by three, because 3 batches of cookies are being made.

1 1/4x3= 3 3/4 cups of sugar

1 3/4x3= 5 1/4 cups of flour

Answer:

48, 110,140

Step-by-step explanation:

Question 1

V= 4 * (6+6)

V=4 * 12

V= 48

Question 2

V= 11 * 10

V= 110

Question 3

V= (7 + 7) *10

V= 14 * 10

V= 140

3x + 2y=-10 equation 1

y=-x -4 equation 2

use the substitution method of elimination to get the answer to the question.

*using substitution

substitute equation 2 in one and we get

3x +2(-x-4)=-10

3x- 2x-8=-10

x=-2 and y=-2

Answer:

B

Answer:  Choice A

(-2, -2)

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

Explanation:

I'll use the substitution method to solve this system.

Replace y in the first equation with -x-4. This is because y = -x-4 is mentioned in the second equation.

So,

3x + 2y = -10

3x + 2( y ) = -10

3x + 2( -x-4 ) = -10 .... substitution

3x - 2x - 8 = -10

x - 8 = -10

x = -10+8

x = -2

Then use this to find y

y = -x-4

y = -(x) - 4

y = -(-2) - 4

y = 2 - 4

y = -2

We have x = -2 and y = -2 pair up together

They form the ordered pair solution (x, y) = (-2, -2)

This shows why Choice A is the answer.

Another way to see this is to graph each equation given using a tool like Desmos. It's a free graphing app.

See below.

The two lines intersect at (-2, -2) which is the solution.

Answer:

-5 5/6

Step-by-step explanation:

convert 2/3 into 4/6 and when u subtract a positive from a negative u add it instead  

Answer:

62

Step-by-step explanation:

If B = 94, then it'd be 94 - (8*4)

94 - 32

62

Answer:

Term-to-term rule: Adding one to the numerator and the denominator

10th term: 10/11

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

So we know the second child was a boy however if the first child was a boy, the probability of getting a second boy would be 7/17 since one boy is missing and one person is missing from the total.

However, if a girl was chosen as the first child, the probability of getting a boy second would be 8/17 since no boys would be missing but one person would be missing from the original total.

In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.

Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,

[tex]P=\dfrac{20}{48}\\P=\dfrac{5}{12}[/tex]

Thus, the experimental probability that the next car that comes in is red is 5/12.

The experimental probability that the next car that comes in is not red is,

[tex]P^{-1}=1-\dfrac{5}{12}\\P^{-1}=\dfrac{12-5}{12}\\P^{-1}=\dfrac{7}{12}[/tex]

Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

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