Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle: 3,16,17 A. Not a triangle B. Acute C. Right D, Obtuse

Answers

Answer 1

Answer: B. Acute

Step-by-step explanation:

It cannot be right, because when doing the Pythagorean test it does not work, and it cannot be obtuse because (3)^2+(16)^2 isn’t greater than (17)^2, so this means it has to be acute.


Related Questions

A photograph has a length that is 2 inches longer than its width. There is a 1-inch frame surrounding the photograph. Which expression represents the area of the entire photograph and frame combined?

Answers

The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

What is Area?

Area is the amount of space taken up by a plane shape.

To find an expression for the area of the entire photograph and the frame combined, we use the formula below.

Formula:

A = L×W............. Equation 1

Where:

A = Area of the photograph and the frameL = Length of the photograph and the frameW = Width of the photograph and the frame

From the question,

Let the width of the photograph be x, The length of the photograph = (x+2) inchesL = (x+2)+1 = (x+3) inchesW = (x+1) inches

Substitute these values into equation 1

A = (x+3)(x+1)A = x²+x+3x+3A = x²+4x+3

Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

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A 9. 5-foot pole casts a shadow that is 29 feet long. What is the approximate measure of angle L? 0. 32 rad 1. 24 rad 19. 2 rad There is not enough information to answer this question.

Answers

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A 9.5 feet pole casts a shadow that is 29 feet long.

Perpendicular = 9.5 feet

Base = 29 feet

The angle is given by the tangent. The tangent is given as

[tex]\rm tan \ \theta = \dfrac{Perpendicular }{Base}[/tex]

Then we have

[tex]\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad[/tex]

The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.

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Answer:

A on Edge

Aka 0.32 rad

Step-by-step explanation:

Next one is:

Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.

A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.
How long was the original length of the ribbon?

Answers

Answer:

140 inches

Step-by-step explanation:

21 is 15% of 140.

what is 15 < −5x because i keep getting stuck on this and its really getting me mad

Answers

Answer:

its 3 fam just divide 15 by 5

Step-by-step explanation:

Multiply both sides by -5. Remember to switch the sign around.
75 > x

15 plus a number equals 25

Answers

Answer: 10

Step-by-step explanation: 15+10=25

The statement 15 plus a number equals 25 is equals to 10.

We are given that;

The statement

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find the number, we can use the following steps:

Write the equation using a variable for the unknown number: 15 + x = 25

Subtract 15 from both sides: 15 + x - 15 = 25 - 15

Simplify: x = 10

Therefore, by algebra the answer will be 10.

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What is the lenght of the side opposite the 45 degree angle?

Answers

Answer: 5√2

Step-by-step explanation:

the opposite sides on a 45 45 90 triangle

Look at the image:

Element X decays radioactively with a half life of 10 minutes. If there are 110 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 18 grams?

Answers

The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins

How to determine the number of half-lives Original amount (N₀) = 110gAmount remaining (N) = 18  gNumber of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61

How to determine the time Number of half-lives (n) = 2.61Half-life (t½) = 10 minsTime (t) =?

t = n × t½

t = 2.61 × 10

t = 26.1 mins

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Need help with question 11- Tysm!

Answers

Answer:

A=½bh

165=15b(½)

multiply both sides

330=15b

divide

22=b

i need your help plz say fast​

Answers

Question plz then I’ll give you an answer depending on your questions

how can we use the study of time measurement's in our time Management? ​

Answers

Answer:

We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.

PLEASE HELP Solve the right triangle.


Round your answers to the nearest tenth.

Answers

Answer:

A = 40°

a = 9.0

b = 10.7

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

⇒ m∠A + 50° + 90° = 180°

⇒ m∠A + 140° = 180°

⇒ m∠A = 180° - 140°

⇒ m∠A = 40°

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 50°side adjacent to the angle = ahypotenuse = 14

[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]

[tex]\implies \mathsf{a=14\cos(50)}[/tex]

[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]

[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 50°side opposite to the angle = bhypotenuse = 14

[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]

[tex]\implies \mathsf{b=14\sin(50)}[/tex]

[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Let consider the given triangle be ABC

Here, It is given in the question that ,

[tex]\sf{ {\angle} B = 90° }[/tex][tex]\sf{ {\angle} C = 50° }[/tex][tex]\sf{ AC = 14 }[/tex]

Therefore,

By using Angle sum property

It states that the sum of all angles of triangles are equal to 180°

That is,

[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]

Subsitute the required values,

[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]

[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]

[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]

[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]

Thus, The angle A is 40°

Now,

We have to find the side a and b

We know that,

[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]

[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]

For side A

[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]

[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]

[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]

[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]

For Side B

[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]

[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]

Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .

2x + 2x + 2 = 4x + 2
Do this equation has one solution,many solutions,or no solutions?

Answers

Step-by-step explanation:

2x + 2x + 2 = 4x + 2           combine like terms

4x + 2 = 4x + 2          subtract 4x from both sides

4x - 4x + 2 = 4x - 4x + 2

2 = 2   TRUE

CONCLUSION:This equation has an infinitely many solutions. The solution to this equation is any real number.

What is a good estimate and the actual measurement for this angle measurement? A. 110 and 109 B. 95 and 96 C. 90 and 91 D. 70 and 71

Answers

The good estimate, as well as the actual measurement for the given angle, is 110° and 109°.

What is a good estimate?

In construction, a good estimate is an approximate value of a number that makes it faster to make cognitive deductions.

On the other hand, the actual measurement is the exact measurement of an angle or shape when the appropriate measuring tools are being used.

From the diagram, the angle is an obtuse angle because it is more than 90° since it extends more than its perpendicular axis(90°), but it is less than 180°.


Therefore, we can conclude that the good estimate, as well as the actual measurement for the given angle, is 110° and 109°.  

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Answer: A 110 and 109

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 5x + y = -9

Answers

Answer:

-5

Step-by-step explanation:

Because this equation is in standard form you can do -A/B which is the first two numbers of the equation,  and since -A=5 and B=y(1) then i just did -5/1 and i got -5

PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST

Answers

Answer:

no solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

No solution

Answer:

5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x

Step-by-step explanation:

A Step-by-step means moving slowly from one stage or level to the next

Don’t worry, we’ll take things one step at a time.

Simplify the polynomial by writing each of its term in standard form. 1.5xy^2 *(-4)xyz-4mnk*5m^2 n^3 k

Answers

The simplified polynomial by writing each of its term in standard form is:

[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.

First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:

[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])

Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:

-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])

Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:

[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]

Therefore, the simplified polynomial by writing each of its term in standard form is:

[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]

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Show the remainder of this problem as a fraction:

=45 /

Answers

Answer:

45 9/14

That's how you would write it.

determine which of the values is a solution of 4t+6≤10

Solution =

not a Solution =​

Answers

Answer in the photo.

The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

4t + 6 ≤ 10

Simplify the inequality, then we have

4t + 6 ≤ 10

4t ≤ 10 - 6

4t ≤ 4

t ≤ 4 / 4

t ≤ 1

The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

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my teacher gives me 3$ and buy a sweetie for me she gives me 2 add on and tell me how much chewing gum I ate?​

Answers

Answer:

add 3 to 2, then divide the multiple of 3 since it's the largest number. if there are no multiples, split it into a decimal.

3+2:': 1.5%ex ---- you ate 1 piece of chewing gum.

Step-by-step explanation:

The answer to: expand and simplify 3x + 2 (x +5)

Answers

Expanded: 3x^2 + 17x +10
Simply: it’s already simplified

Fine angle W……….Inscribed angles….correct answer will get brainliest

Answers

Answer:

40°

Step-by-step explanation:

[tex]\angle UTV [/tex] and [tex]\angle UWV [/tex] are inscribed in the same [tex]\widehat {UTV} [/tex]

Angles inscribed in the same arc are equal in measure.

[tex]\implies m\angle UWV =m\angle UTV [/tex]

[tex]\implies 19x +21\degree =10x +30\degree [/tex]

[tex]\implies 19x -10x =30\degree-21\degree [/tex]

[tex]\implies 9x =9\degree [/tex]

[tex]\implies x =\frac{9\degree}{9} [/tex]

[tex]\implies x = 1\degree [/tex]

[tex]\implies 19x +21\degree= 19(1\degree) +21\degree[/tex]

[tex]\implies 19x +21\degree= 19\degree +21\degree[/tex]

[tex]\implies 19x +21\degree= 40\degree[/tex]

[tex]\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}[/tex]

What is the surface area of the cube shown?
square centimeters

Answers

The area of one face is length x width:

Area of one face = 6.5 x 6.5 = 42.25 square cm.

There are 6 total faces on a cure.

Total surface area = 42.25 x 6 = 253.5 square cm.

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us charged 0.35$ per minute. Which of the following picewise functions represents charges based on tracy’s cell phone plane?

Answers

Answer:

Since Tracy is charged $29 for 250 free minutes so:

For x ≤ 250, f(x) = $29

tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

There are 8 green marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.

Answers

Answer:

Total number of marbles in the bag = 8+11?=19

Number of green marbles = 8

Number of blue marbles = 11

Probability of choosing a green marble randomly = 8/19

Step-by-step explanation:

Please mark me brainliest

What’s the measure of Please help I need this ASAP

Answers

Answer:

the answer is 124 degrees my friend

karen has 2 gallon bucket that is half full of water. when she poured the water into another bucket, that bucket was one fourth full. how much water will the second bucket hold

Answers

Answer:

1 3/4 gallons

Step-by-step explanation:

36) How old am I if 500 reduced by 3 times
my age is 299?

Answers

Answer:

67

Step-by-step explanation:

500 − 3x = 299

3x = 201

x = 67

Factor out the greatest common factor in the following polynominal. x^4-8x^3+x^2

Answers

Answer:

The greatest factor of the polynomial is x^2.

To factor out x^2, we divide each term by x^2:

x^2 - 8x + 1

Don't forget to multiply back the x^2:

x^2(x^2 - 8x + 1)

I hope this helped you.

Please answer all of the problems attached in the pdf. I have fallen behind in studiess and need a little help - thanks

Answers

Answer:

Step-by-step explanation:

Choose an equivalent expression for 123 • 129 • 124 • 122.

Answers

Answer:

[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]

B. 12^18 is the correct answer...

Hopes to get BRAINLIEST....

Thank you ☺️

The equivalent expression for the given expression from the question is  [tex]12^{18}[/tex]

From law of indices

[tex]X^2 . X^2 .X^3 = X^(2+2+3)= X^7[/tex]Same principle applies.we were given [tex]12^3 . 12^9 . 12^ 4 .12^2[/tex]since they all have the same base, then we can sum up their powers, then we have[tex]12^(3+9+2+2)[/tex]

[tex]= 12^18[/tex]

Therefore, the equivalent expression is [tex]12^{18}[/tex]

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