Help me pls this is very hard for me and plus i gotta turn this in tomorrow

Answer:

t = G/(a + h)

t(a + h) = G

a + h = G/t

a = (G/t) - h

t = (G/a) + h

t - h = G/a

a(t - h) = G

a = G/(t - h)

The values of the three trigonometric ratios for angle L, in simplest form, are:

Given -

The triangle LMN is given in the question.

As the trigonometric properties of a triangle state that the value of sin, cos, and tan for the respective angle can be written as:

Using the above trigonometric properties, the value of sin(L):

Similarly, the value of cos(L):

And, the value of tan(L) is:

Therefore, the values of the three trigonometric ratios for angle L, in simplest form, are:

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The question you are looking for is given below:

What are the values of the three trigonometric ratios for angle L, in simplest form?

The box-and-whisker plot for the given data is given below:

A box and whisker plot is defined as a graphical method of displaying variation in a set of data.

The results of a history test taken by 18 students: 55, 57, 58, 61, 62, 66, 68, 68, 71, 75, 75, 78, 82, 83, 85, 86, 88, 89.

Take note of how the scores are listed from lowest to highest.

The median for the given data is 73.

The Lower Quartile and the Upper Quartile would be found after that.

These represent the lower and higher halves' medians.

Lower quartile = 61.75

Upper quartile = 83.5

Make a number line. Mark your median, quartiles, and smallest and largest values.

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If the function is f(x)=1/(6x+6) then the value of x cannot be equal to -1.

Given a function of x f(x)=1/(6x+6).

We are told to find out the value of the variable x for which the function does not lie.

Function is like a relationship between two or more variables expressed in equal to form. The values entered in a function is known as domain and the values which we get after entering of values are known as range.

f(x)=1/(6x+6)

It is in form of fraction. Fraction is a combination of numbers in which the above number is numerator and below number is denominator.

In this (6x+6) cannot be equal to 0 because if (6x+6) equal to 0 then the value of function becomes infinity.

So,

6x+6=0

6x=-6

x=-1

Hence if the function is f(x)=1/(6x+6) then the value of x cannot be equal to -1.

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Answer: 11 units

Step-by-step explanation:

We can say that [tex]\triangle TSQ\sim\triangle PSR[/tex] by AA Similarity Postulate. This is since [tex]\angle T\cong\angle P[/tex] and both ∠TSQ and ∠RSP are right angles, making them congruent.

Similar triangles have a property that corresponding sides are proportional. Hence, we can say that

[tex]\frac{ST}{PS}=\frac{SQ}{SR}\\\frac{15}{PS}=\frac{9}{12}\\\frac{15}{PS}=\frac{3}{4}\\60=3*PS\\PS=20[/tex]

We also know that PS is the combined length of PQ and QS. Since we know that QS is 9, let's substitute PQ + 9 in and solve.

[tex]PQ+9=20\\PQ=11[/tex]

Answer:

-4t-11

Step-by-step explanation:

rearrange the numbers

2t-6t-9+2

Add negative 2

2t-6t-11

2-6

-4t-11

The independent variable of f(c) = -3c + 9 is c

Variables in an equation are the unknown parameters of the equation that change in values

There are two types of variables

The equation of the function is given as

f(c) = -3c + 9

The dependent variable is the output of the function, while the independent variable is the input of the function

For the function, f(c) = -3c + 9

The input variable is c

Hence, the independent variable of f(c) = -3c + 9 is c

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Answer:

x = 2.4; y = 3.2

Step-by-step explanation:

y = 3x - 4

2x + y = 8

2x + 3x - 4 = 8

5x - 4 = 8

5x = 12

x = 12 / 5

x = 2.4

y = 3(2.4) - 4

y = 7.2 - 4

y = 3.2

Answer:

3

Step-by-step explanation:

The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.

Answer:

3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).

In a box plot:

From inspection of the given box plot:

Therefore:

IQR = Q₃ - Q₁

      = 18 - 15

      = 3

So the interquartile range of the given box plot is 3.

A sector is a part of a circle that is formed by two radii, and an arc. So that the length of the safety railing required is 31.4 feet.

A sector is a part of a circle that is formed by two radii, and an arc, thus forming a central angle.

Thus the required length of safety railing can be considered as the arc of the sector.

So that;

length of an arc = (θ / [tex]360^{o}[/tex]) * 2[tex]\pi[/tex]r

where θ is the measure of the central angle of the sector, and r is the radius of the sector.

From the given question, θ = 45°, and r = 40 feet.

So that,

length of the safety railing = (45° / [tex]360^{o}[/tex]) * 2 * 3.14 * 40

                                 = 0.125 * 2* 3.14* 40

length of safety railing = 31.4

Therefore, the length of the safety railing required is 31.4 feet.

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Using it's concept, the probability that exactly two of the dice show a 1 and exactly two of the dice show a 2 is: 10/243.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

One of the six numbers is of 1, and also one out of six is 2. The other two trials can be any of the other 4 numbers, hence the probability for the six rolls has the following format:

p = (1/6)² x (1/6)² x (4/6)²

This considers just one order, while there are six rolls, hence there are 6! possible orders, hence the probability is:

p = 6! x (1/6)² x (1/6)² x (4/6)² = 120 x 16/46656 = 10/243.

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Answer:177

Step-by-step explanation:so for short, you need to multiply the 300 miles with the 59 precent we have and divide it to 100 this provides us the answer of miles he slept through the road trip

The number of miles they had travelled when Bentley fell asleep is 177 miles.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Bentley fell asleep 59% of the way through the trip.

The total length of the trip was 300 miles.

The number of miles

= 59% of 300

= 59/100 ×300

= 59×3

= 177 miles

Therefore, the number of miles they had travelled when Bentley fell asleep is 177 miles.

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Answer:

a.[tex]\sqrt{52}[/tex]cm or 7.21cm

b.[tex]\sqrt{170}[/tex]cm or 13.04cm

c. x= [tex]\sqrt{136}[/tex]cm or 11.66cm, y=[tex]\sqrt{191}[/tex]cm or 13.82cm

Step-by-step explanation:

a. You have to find the length of the other two sides of the triangle using the information already given. The first side is 6cm and the other is 12-9=4cm. Because it's a right-angled triangle you can use pythagoras

[tex]c^2=a^2+b^2\\x^2=6^2+4^2\\x^2=36+16\\x^2=52\\x=\sqrt{52}cm \\x=7.21cm[/tex]

b. You can use pythagoras again because it's a right-angle triangle

[tex]x^{2} =7^2+11^2\\x^2=170\\x=\sqrt{170} cm\\ = 13.04cm[/tex]

c. In this question you have to find x and y. We need to find x first using pythagoras

[tex]x^2=6^2+10^2\\x^2=136\\x=\sqrt{136}cm \\=11.66cm[/tex]

Now that we've found x we can find y using pythagoras but instead of find c, we will find another side

[tex]c^2=a^2+b^2\\19^2=\sqrt{170} ^2 + b^2\\361=170+b^2\\361-170=170+b^2-170\\191=b^2\\b=\sqrt{191}cm \\=13.82cm[/tex]

Hope this helps :)

The type of numbers which -560 and 114 are include the following:

B. Integer.

C. Rational.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

In Mathematics, there are six (6) common types of numbers and these include the following:

In this context, we can infer and logically deduce that -560 and 114 are both an integer and a rational number.

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Complete Question:

What type of number is -560, 114? Choose all answers that apply:

A. Whole number

B. Integer

C. Rational

D. Irrational

Answer:

angle l = 115

angle k = 115

angle j = 114

angle i = 66

Step-by-step explanation:

angle l = it is opposite to 115 so its the same

angle k = opposite opposing angles with angle l

angle j = 180-66=114 (between 2 parallel lines the sum of 2 angles is 180)

andle i = 180-114=66 (straight line = 180 degrees so subtract angle j to get i)

The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

From the question, we are to determine the area of the shaded region

The area of the shaded region = Area of the semicircle - Area of the triangle

First, we will determine the diameter, d, of the semicircle

d² = 3² + 4² (Pythagorean theorem)

d² = 9 + 16

d² = 25

d = √25

d = 5

∴ Diameter of the semicircle is 5

Thus,

Radius, r = 5/2 = 2.5

Now,

Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)

Area of the shaded region = 1/2(π×6.25) - 1/2(12)

Area of the shaded region = 3.125π - 6

Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

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Answer:

The answer is: (x,y) = (-2,5)

Answer:

Step-by-step explanation:

(4+8/2)*5-1

8*5-1

39 is your answer

Answer: $65

Step-by-step explanation:

Thomas saved $30

Matthew saved $35

 Saved up together in total is asking how much money they got together which addtion.

so we do 30 +35 which is $65

The five-number summary and the interquartile range for the data set are given as follows:

In this problem, we have that:

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Answer:

180.

Step-by-step explanation:

100 contains 2  zero digits.

101 - 109 have 9 numbers,  110 to 200 have 11 numbers

so for 101 to 200 its 20 numbers

Its also 20 for 201 to 300  and for all sets of 100 up to 900.

- that is 7 * 20 = 140 numbers

Finally from 901 to 999 we have 18.

Total = 20 + 140 + 18

= 2 + 20 + 140 + 18

= 180.

The solution to the system of inequalities y > 2x + 4 and x + y ≤ 6 on the coordinate plane is the darker region shown in the graph.

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequalities is an expression that shows the non equal comparison of two or more numbers and variables.

The solution to the system of inequalities y > 2x + 4 and x + y ≤ 6 on the coordinate plane is the darker region shown in the graph.

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Answer:

406

Step-by-step explanation:

let the 5 consecutive positive integers be

n , n + 1 , n + 2 , n + 3 , n + 4 , then

n + n + 1 + n + 2 + n + 3 + n + 4 = 2020

5n + 10 = 2020 ( subtract 10 from both sides )

5n = 2010 ( divide both sides by 5 )

n = 402

then

largest integer = n + 4 = 402 + 4 = 406

Answer:a

Step-by-step explanation: 20 x 25=500

Answer:

9) 128
10) 78
11) 31
12) 148

Step-by-step explanation:

9) we know that the segment across from the angle 48° is double the angle.

48 · 2 = 96

The segments around the circle should all add up to 360 so we add the two segments we know to find the unknown segment.

136 + 96 = 232

360 - 232 = 128

The answer for 9 is 128.

10)

61 + 80 = 141

180 - 141 = 39

39 * 2 = 78

The answer for question 10 is 78.

11)

236 + 62 = 298

360 - 298 = 62

62 ÷ 2 = 31

The answer for question 11 is 31.

12)

50 · 2 = 100

100 + 112 = 212

360 - 212 = 148

The answer for question 12 is 148.

The variable that you would have to plot on the y axis (height) is the dependent variable while the variable that is on the x axis (arm span) is the independent or the explanatory variable.

The slope was gotten through the use of the points  (37,39) and (19,25)

This gave the slope of 7/9. This tells us that  height of the person got to be raised by 7/9 inches when arm span increases by 1 inch.

From the given model, a person that has the arm span of 66 would have the height of

12 + 7/9 * 66

= 63.3 inches

A person who is  74 inches height the arm span of = 62*9/7

= 79. 71 inches.

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In the given equation the value of x is 4.

According to the statement

we have given that the a equation and we have to solve that equation for x and find the value of the x.

So, For the value of x in given statement:

The given equation is

x⁴ = 256

we know that the 2 changes into the square root after rearrangement in the equation so, the equation become

(x²)² = 256

Now,

(x²) = √256

Then equation becomes

(x²) = 16

This is because the square root of the 256 is 16.

Now another square changes into square root then

x = √16

And

x = 4

So, In the given equation the value of x is 4.

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Answer:

12

Step-by-step explanation:

[tex]24=2^{3} \times 3 \\ \\ 36=2^{2} \times 3^{2} \\ \\ 96=2^{5} \times 3[/tex]

Hey there!

What is GCF (Greatest Common Factor)?

Basically, the GCF is the biggest number in a data set that all of your numbers share.

What are the factors of the numbers?

24:1, 2, 3, 4, 6, 8, 12, and 24

36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96

What are the like terms that the numbers share?

1, 2, 3, 4, 6, 8, and 12

What is the biggest number out of the like terms?

12

What is your number?

12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

In the  expression written below. the value of equation x  is known to be x=10/c.

From the question, we were given: 3(cx-7)=9

Therefore, we have to simply it to  make x the subject of the formula (to look for x)

Hence: 3(cx-7)=9

=(cx-7)=3

=cx=10  

x=10/c

Therefore, In the  expression written below. the value of equation x  is known to be x=10/c.

See full question below

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9

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