Classify the triangle based on the side lengths 7. 15 and 21​

Classify The Triangle Based On The Side Lengths 7. 15 And 21

Answers

Answer 1

Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sides of triangle are 7, 15 and 21.

Let the largest angle be θ.

cosθ=7²+15²-21²/2×7×15

=-167/210

Since arc cos(-167/210)=142.68 degrees.

θ=142.68 degrees.

Which means θ>90 degrees.

So its a obtuse triangle.

7+15=22>21

21-7=14<15

So those angles can make a obtuse triangle.

Hence, triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

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Related Questions

How i can answer this question

Answers

Answer:

A

Step-by-step explanation:

They both equal 2(x+y+1)

Help me out plesseee!!

Answers

Step-by-step explanation:

the rate of change is officially

(f(x2) - f(x1)) / (x2 - x1)

but for a line function (as we have here) this is totally easy : it is the slope of the line.

and that means it is the factor of x.

in our case this is -3/2.

because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.

Answer: (f(x2) - f(x1)) / (x2 - x1)

because the slope of a line is the ratio "y coordinate change / x coordinate change".

Step-by-step explanation: HOPE IT HELPS YOU .THANKS .

In Damien's classroom, the ratio
of boys to girls is 4:5. If there
are 12 boys, how many students
are there in all in Damien's
classroom

Answers

Answer:

The answer would be 27 students

Step-by-step explanation:

4=boys

5=girls

4 x 3 = 12

5 x 13 = 15

12+ 15 = 27

How do I solve for x?

Answers

X + 36 = 16

16 - 36 = -20

X = -20

Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.

So,

16 = x + 36

16 - 36 = x

-20 = x

______

Hope it helps ⚜

who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

What is the solution to this inequality?


−15x>75



x<−5


x>−5


x≥−5


x≤−5

Answers

Answer:

x < -5 (the first option)

Step-by-step explanation:

I hope this helps!

The solution of the inequality will be;

⇒ x < - 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 15x > 75

Now,

Since, The inequality is,

⇒ - 15x > 75

Hence, The solution of the inequality is,

⇒ - 15x > 75

⇒ - x > 75/15

⇒ - x > 5

⇒ x < - 5

Thus, The solution of the inequality is,

⇒ x < - 5

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what is the following product 3 sqrt 4 times sqrt 3

Answers

Answer:

c on edge YW

Step-by-step explanation:

The value of ∛4 × √3 is 2.75 or  [tex]\sqrt[6]{432}[/tex].

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given;

Expression,

product 3 sqrt 4 times sqrt 3.

In numerator form:

As per the given expression,

∛4 × √3

Simplifying,

∛4 × √3

= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]

= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]

= [tex]\sqrt[6]{16 + 27}[/tex]

= [tex]\sqrt[6]{432}[/tex]

= 2.749

= 2.75

Therefore, the product is 2.75 or  [tex]\sqrt[6]{432}[/tex].

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Can someone plz help Me?

Answers

the answer to your question is C. 6^4

Answer:C? sorry if im wrong

Step-by-step explanation:

Please help me with this question​

Answers

Answer:

F

Step-by-step explanation:

Answer:

  F

Step-by-step explanation:

You only need to read as far as ...

  y ≤

to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).

The graph with a solid line and shading below is graph F.

x+y=3
workout the value of 2x-2y

Answers

X=3-y hopefully it's the right answer

Answer:

-2

Step-by-step explanation:

x= 1

y= 2

2 times x(1)=2

2 times y(2)=4

2-4= -2

Write the name of a polynomial (using the degree) with the sequence of the
outputs: (5,2,-1,-4, ...}*
Type ONE word

Answers

Answer:

pentagon

Step-by-step explanation:

5 degree angle

Pentagon is the answer i think

25.4 as mixed number

Answers

Answer:

6.25

Step-by-step explanation:

I believe you were trying to put a fraction in but accidentally pressed the period.

25/4

6 1/4

6.25

Answer:

25 2/5

Step-by-step explanation:

Hope it's right and it helps.

If 5 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline 5, what is the value of x? â€"3 â€"2 2 3.

Answers

The value of x is 3.

Given that,

If  [tex]5 + 20 \times 2^{2-3x}[/tex],

And Baseline = [tex]10 \times 2^{-2x}+5[/tex]

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]

Step1; Subtract 5 from both sides,

                   [tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]

Step2; Divided by 10 on both sides,

                    [tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]

Step3; Rewrite the term into their power form and add the powers,

                   [tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]

Step4; The base is the same on both sides, we equate exponents,        

                    [tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]

Hence, The required value of x is 3.

For more details about the Exponent refer to the link given below.

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What the vertex of y=4(x-3)^2+3

Answers

Answer:

(3,3)

Step-by-step explanation:

we rewrite in vertex form and use this form to find the vertex (h,k)

Dante’s chocolate bar is 36% cocoa. If the weight of the chocolate bar is 73 grams, how many grams of cocoa does it contain round your answer to the nearest tenth?

Answers

Answer:

26.3 grams

Step-by-step explanation:

36% = 36/100 = 0.36

73 * 0.36 = 26.28 grams ≈ 26.3 grams

Answer:

i think 26.3 grams

Step-by-step explanation:

0.36×73 = 26.28

When rounded to the nearest tenth, 26.28 should be equal to 26.3

So Dante's the chocolate bar contains 26.3 grams of cocoa.

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

(image)

Which statement best describes a flaw in the student's proof?

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.

Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.

Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.

Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

Answers

The statement that best describes a flaw in the students' proof is;

Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

From the given image, we can see that;

AB ≅ DC

Let us analyze each given option;

A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.

They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.

B) In ΔABD and ΔBDC, we see that;

AB = DC. Also, by theorem of alternate interior angles, we can tell that;

∠ABD = ∠BDC

Similarly, ∠BDA = ∠DBC from alternate interior angles.

Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.

C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.

D) Corresponding angles lie on the same side of the transversal.  In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.

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if 6 24 36 are in proportion,find the second proportional.​

Answers

6/6=1, 24/6=4, 36/6=6 so 6 24 36 = 1 4 6

9

Step-by-step explanation:

let 2nd proportion be x

6:x=24:36

6÷x=24÷36

x=6×36÷24

x=9

which statement is true?

Answers

Answer:

The slope of function A is less than the slope of function B

Explanation:

The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.

Answer:

the slope on Function A is less than Function B

Step-by-step explanation:

By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5

1 Name the shapes that are being described. a I have three sides that are all the same length. I have three equal angles. Thave three lines of symmetry and rotational symmetry of order 5. b I have four sides. Thave one line of symmetry and rotational symmetry of order 1. Two of my angles are equal. I have two pairs of equal length sides' C I have six sides. All my sides are the same length. I have six lines of symmetry and rotational symmetry of order

Answers

Answer:

a. Equilateral triangle

b. Quadrilaterals

c. Hexagon

Step-by-step explanation:

PLEASE HELP
Classify each sequence as arithmetic, geometric or neither:

1.) -1/16, 1/4, -1, 4, -16, …
2.) -5, 10, -15, 20, -25, …
3.) 65, 52, 36, 26, 13, …

[] Neither
[] Arithmetic
[] Geometric

Answers

Answer:

1. ARITHMETIC

2. NEITHER

3. GOEMETRIC

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The quadratic function f(x)= x^2-14x+53 is equal to zero when x=a+ or - bi
What is the value of a?
What is the value of b?

Answers

Answer:

A= 3x B= 6/8

Step-by-step explanation:

The value of a is 7, and the value of b is 2√(2) for the given quadratic function f(x) = x² - 14x + 53.

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The quadratic function f(x) = x² - 14x + 53 is equal to zero when x = a + bi or x = a - bi. This means that the roots of the quadratic equation are a + bi and a - bi.

The roots of a quadratic equation can be found using the quadratic formula:

x = (-b +/- √(b² - 4ac)) / (2a)

In this case, a = 1, b = -14, and c = 53. Substituting these values into the quadratic formula, we get:

x = (-(-14) +/- √((-14)² - 4153)) / (2*1)

x = (14 +/- √(196 - 212)) / 2

x = (14 +/- √(-16)) / 2

Since the square root of a negative number is an imaginary number, the roots of the quadratic equation are a + bi and a - bi, where a = 14/2 = 7 and b = √(-16)/2 = 2√(2).

Therefore, the value of a is 7, and the value of b is 2√(2).

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hey guys can you help me with this question? 20 points :)

Answers

Answer:

About 7 units

Step-by-step explanation:

About 7 units would be correct. 1 + 6 is 7

however 6 isn’t an option so the next closet thing is 7

HOPE THIS HELPED :3

Answer pretty sure that’s 7

Step-by-step explanation:

Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?

Answers

Answer:

10.75

Step-by-step explanation:

first step is to find how much adam paid for each towel

so, the equation used will be x/y=c

where x is total cost, y is number of products bought, and c equals individual cost (with discount)

we end up with 105/14= 7.5$ per towel.

and to close out, we add the given discount of 3.25 to the discounted price of 7.5

which brings the usual price per towel to 10.25

Answer:

Step-by-step explanation:

Can any one explain this question worth points! plz explain if you can

Answers

Answer:

x = 31

Step-by-step explanation:

The given angles are supplementary and their sum is 180 degrees

5x - 16 + x + 10 = 180 add like terms

6x - 6 = 180 add 6 to both sides

6x = 186 divide both sides by 6

x = 31

How to solve 8.9 times 6

Answers

Answer:

53.4

Step-by-step explanation:

8.9 × 6 = 53.4

Hope it help !

HELP!! Select the values for the domain and range of the functions graphed below.

Answers

Answer:

Graph 1

Domain = -8 =< x =< 10

Range = -9 =< f(x) =< 9

Graph 2

Domain = -1 =< x =< 5

Range = -1 =< f(x) =< 2

Explaination:

Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).

Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.

Answers

The solution of the equation can be determined by substituting the points in the equation and solving it.

The solution of the given equation would be interpreted by solving the equation for the value of x and y.

The solution of the equation is (400, 3200) and it can be determined by using substitution method.

Given that,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

The solution of the system is (400, 3,200).

We have to determine,

How would you interpret this solution?

According to the question,

The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.

The second equation gives the cost of making x baseball caps.

[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]

On solving both the equation,

Substitute y = 8x in the equation 2,

[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]

The value of x is not -800 because the cost can not be negative.

Then the value of x is 400.

Substitute the value of x in equation 1,

[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]

Hence, The solution of the equation is (400, 3200).

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Calculate the volume of the cylinder:
10 cm
6 cm

Answers

Answer:

60

Step-by-step explanation:

10 ×6

that is the simple answer to your question

1.0835 rounded to the nearest tenth

Answers

Answer:

1.1

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

solve this
x2 + 14 x + 33 = 0

Answers

Are we solving for X? If so X = -3, -11

Answer:

-11, -3.

Step-by-step explanation:

x^2 + 14x + 33 =0

To factor this we need 2 numbers whose product is 33 and whose sum is 14 .

These are 3 and 11, so:

(x + 3)(x + 11) = 0

x = 11, -3.

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