Determine the Angle Measures

Based on the triangle inequality theorem, the possible values of h in cm is: A. 4x < h < 10x

Based on the triangle inequality theorem, two sides of a triangle must be equal or more than the third sides.

Given a values of the side lengths of a triangle as, 3x, 6x, and h cm, the possible values would be determined as shown below:

h < 3x + 7x or 7x - 3x < h

h < 10x or 4x < h

The possible values of h would be: 4x < h < 10x.

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Answer:

The ordered pair which makes both the inequalities true is = (–2, 2)

Step-by-step explanation:

inequalities are the relationships between two expressions which are not equal to one another.

Inequalities are represented by the following relations:

an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

so, the option B(-2,2) satisfies  the inequalities expressions given in the question

therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.

so the correct answer is (-2,2)

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Answer:

b = 2

Step-by-step explanation:

using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{a}[/tex] = [tex]\frac{b}{2\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

b × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

b = 2

Answer:

Given that a = 2√3.

Let's find value of b...

Answer:

Step-by-step explanation:

Answer:

1. 85 people were surveyed

Answer:

Probably the first one because the other two questions would be un-reliable

Step-by-step explanation:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Domain = [-9, -1][/tex]

[tex]\qquad \tt \rightarrow \:Range = [-1 , 3][/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

[tex] \large\textsf{For the given graph : } [/tex]

[tex]\qquad \tt \rightarrow \: domain = [ - 9, -1][/tex]

[tex]\qquad \tt \rightarrow \: range= [ -1,3][/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

25%

Step-by-step explanation:

Got it right on khan

Answer:

60%

Step-by-step explanation:

its right on khan

Answer:

$5.50

Step-by-step explanation:

For one water bottle you divide the 55 dollars by 10

55/10= 5.5

Answer:

$5.50

Step-by-step explanation:

We must divide to solve so lets do that now :)

55/10 = 5.50

Each bottle will cost 5 dollars and 50 cents :)

Have an amazing day!!

Please rate and mark brainliest!!

The value of the composite function (h•f)(0) is -2/3

The functions are given as:

f(z)=(1/3)

h(z) = z+4/z-2

Start by calculating f(0) and h(0)

f(0) = 1/3

h(0) = (0+4)/(0-2)

h(0) = -2

The composite function is then calculated as:

(h•f)(0) = h(0) * f(0)

This gives

(h•f)(0) = -2 * 1/3

Evaluate

(h•f)(0) = -2/3

Hence, the value of the composite function (h•f)(0) is -2/3

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Answer:

[tex]\fbox {4.26 feet}[/tex]

Step-by-step explanation:

Picturing this, we find a right triangle.

By taking the sin ratio, we can find the slanted part.

⇒ sin 28° = 2/x = 0.469471563

⇒ x = 2/0.469471563

⇒ x = 4.26 feet

Answer:

A) There are two complex solutions.

Step-by-step explanation:

To know how many solutions a quadratic equation has, calculate the discriminant of the equation.

discriminant = b² - 4ac              

    where a = coefficient of x²

                b = coefficient of x

                c = constant of equation

if b² - 4ac > 0 , then equation has 2 real roots

if b² - 4ac = 0 , then equation has 1 real, repeated root

if b² - 4ac < 0 , then equation has 2 complex roots

In this case, discriminant = 9² - 4(-2)(-12)

                                          = -15

As -15 < 0, equation has 2 complex roots.

Answer:

24

Step-by-step explanation:

A function assigns the values. The inverse of the function in terms of the area will be b=(a/7)-5.

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is,

The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14 x b+5/2. Write a function in terms of area to find the length of the other side.

The given is the function of the area of the trapezoid, a(b)=14 x b+5/2.

The area of a trapezoid is given as,

Area = Height × [(Sum of parallel sides)/2]

The given function can be written in terms of area as,

[tex]a = 14\times \dfrac{(b+5)}{2}\\\\\dfrac{2(a)}{14} = b+5\\\\\dfrac{2(a)}{14} -5= b\\\\\dfrac{(a)}{7} -5= b[/tex]

Hence, the inverse of the function in terms of the area will be b=(a/7)-5.

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Answer:

The amount of air in a leaky tire.

Step-by-step explanation:

The plot shows a decrease with time (I'll assume the x axis is time).

Which of the answer options would one expect a decrease over time.

A leaky tire?  YES

Hair length with soda?  NO

Cost of a meal when adding appetizers?  NO

Answer:

a. the amount of air in a leaky bicycle tire as time increases.

Step-by-step explanation:

since the scatter plot is descending(y), then we can infer whatever is being recorded is decreasing as time goes on (x)

a. is a great example, as you have a leak in a bicycle tire the air will decrease.

b. does not make any rational sense, since soda does not affect an individual's hair length.

c. does not make sense since the plot is getting smaller over time, therefore adding prices (of said appetisers) makes the cost go up not down.

therefore your answer is a. the amount of air in a leaky bicycle tire as time increases.

hope this helps:)

Answer: 1 gallon

Step-by-step explanation:

white: red: yellow

4 : 3 : 2

total units: 9 units

total amount: 3 gallons

one unit: 3/9

             = 1/3

no of units of red: 3 units

amount of paint needed: 1/3 x 3

                                        = 1 gallon

The value of x if both lines intersect is 2/3

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4

The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2

If the lines intersect, then h(x) = g(x)

Substituting the functions to get the value of "x"

-3x + 4 = 2

Subtract 4 from both sides

-3x + 4 - 4 = 2 - 4

-3x = - 2

Divide both sides by - 3

x = 2 / 3

Hence the value of x if both lines intersect is 2/3

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Answer:

2/3

Step-by-step explanation:

edge23

Answer:

The correct set of equations is C.

Step-by-step explanation:

m + n = 32

m = 3n

We have 4n = 32, so n = 8 and m = 24.

Answer:

D 0.33

Step-by-step explanation:

based on the table you would just divide 13/39 which is 0.33

I hope i am right

Answer: 0.37

Step-by-step explanation:

Instead of doing 13/39 which is the total number of 9th graders. You have to do 13/35 (35= the total amount of kids who prefer watching sports) because it is saying "what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?"

Answer:

y (x² + 1) (x² - 5)

Step-by-step explanation:

   Take 'y' from each term.

x⁴y - 4x²y - 5y = y[x⁴ - 4x² - 5]

Now factorize x⁴ - 4x² - 5.

            Sum = -4

        Product = -5

        Factors =  -5 , 1  

When we add (-5) + 1, it gives (-4) and when we multiply (-5)*1, gives (-5).

x⁴ - 4x² - 5 = x⁴ + x² - 5x² - 5

                 = x²(x² + 1)  -5(x² + 1)

                 = (x²+ 1) (x² - 5)

x⁴y - 4x²y - 5y = y (x² + 1) (x² - 5)

Answer:

You can just flip a coin five times either with a real one (heads being a face or a picture and tails being the other side) or online, then put a tick on either heads or tails depending on what you got on that toss. Then just put how many times you got heads in the first question.

Hope this helps I guess.

Answer:

-10 x 2

10 x -2

5 x -4

4 x -5

20 x -1

-20 x 1

2 x 2 x -5

Step-by-step explanation:

Answer:

-1 x 20= -20

-20 x 1 = -20

-5 x 4= -20

-4 x 5= -20

-2 x 10= -20

-10 x 2= -20

-2 x 2 x 5 = -20

Step-by-step explanation:

use factors of 20

hope this hepled :)

Answer:

163.3

Step-by-step explanation:

3.14*r^2*h

h=13

4/2 = 2

r=2

2^2 = 4

3.14*4 = 12.56

12.56*13 = 163.28

Rounded = 163.3

I believe the answer is 163.3

Answer:

The slope is [tex]-\frac{1}{5}[/tex].

Step-by-step explanation:

Choose 2 points on the graph.

(7,3) and (2,2)

Use slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{2-3}{2-7}[/tex]=[tex]\frac{-1}{-5}[/tex]

The slope is [tex]-\frac{1}{5}[/tex].

Answer:

[tex]\frac{1}{5}[/tex] or [tex]0.2[/tex]

Step-by-step explanation:

The slope refers to the gradient of the line.

There is a formula to find the gradient of a line where m is the gradient:

[tex]m=\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]

So, we will take two points on the line.

Let's take our first point as (-3, 1) and our second as (7, 3).

Let's work with the [tex]y[/tex] values.

The first [tex]y[/tex] value is 1 and the second [tex]y[/tex] value is 3.

So, in the numerator, they would look like [tex]3 - 1[/tex].

Let's work with the [tex]x[/tex] values.

The first [tex]x[/tex] value is -3 and the second [tex]x[/tex] value is 7.

So, in the denominator, this would look like [tex]7--3[/tex].

Let's use these in the fraction and work out our answer:
[tex]m = \frac{3-1}{7--3} = \frac{2}{10} = \frac{1}{5} = 0.2[/tex]

Therefore, our final answer is [tex]\frac{1}{5}[/tex] or [tex]0.2[/tex].

Option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

We have:

Age (years) (x)                                                     15  21   17  22  16  19  18

Number of questions  they could answer(y)    17  17   17  17    17  17  17

As we can see all y values are the same.

n∑y² = 7(2023) = 14161

(∑y)² = 119² = 14161

If we put the value of the above data the value will become undefined.

Thus, option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

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Answer:

2

Step-by-step explanation:

[(27divided by (-3)-9] divided by [15-21}

=[-9-9] divided by 3

= 6divided by 3 = 2

Answer:

Q(x) is = to 11x² that's my answer

Answer:

January

Step-by-step explanation:

The month October is the 10th month,

there is 12 months in a year

2451 / 12 = 204.25

0.25 of a year, 1/4 of the year so 12/4 = 3

2451 months is 204 years and 3 months

3 months after October is January

10 + 3 = 13 where December is 12 and the 13th month is January