Given two side lengths of a triangle (4cm and 17cm), find a range of possible lengths for the third side.

Answers

Answer 1

Check the picture below.

so notice the top part of the picture

if we move the "4" and "17" sides close to each other, till one is on top of the other, the side in red, can never be less than 17 - 4, or 13, it cannot be 13 either, because then both lines will be on on top and we wouldn't have a triangle just a flat-line, so whatever the red line is, it must be more than 13.

notice the bottom part of the picture

if we separate the "4" and "17" sides, and lay them flat, the most the red side can be is 4 + 17 or 21, it can never be greater than 21, it can't be 21 either because if we lay "4" and "17" flat, we lose the triangle and all we'd have is a flat-line. So whatever the red side is, must be less than 21.

Given Two Side Lengths Of A Triangle (4cm And 17cm), Find A Range Of Possible Lengths For The Third Side.

Related Questions

Solve by factoring:
a² = 25

Answers

a=+ or - 5 bc -5x-5 or 5x5 equals to 25

Answer:

[tex]a=[/tex] ±[tex]5[/tex]

Step-by-step explanation:

[tex]a^{2} =25[/tex]

equal to zero

[tex]a^{2} -25=0[/tex]

factor: difference of squares

[tex](a+5)(a-5)=0[/tex]

first factor:

[tex]a+5=0\\a_{1} =-5[/tex]

second factor:

[tex]a-5=0\\a_{2} =5[/tex]

Hope this helps

Which choice is equivalent to the expression below?
7x2 - 42 + x2
O A. 3x12
O5x22
O C. 8x^2 - 4-15
O D. 6x1/2 -3-2

Answers

Answer:

the answer to your problem is c

Answer:

Did you copy C correctly?

If not, then C should equal 8x^2 - 16

Step-by-step explanation:

Simplify 7x^2 - 4^2 + x^2

I hope this helps!

x^2+x-20=0

please help me otu

Answers

Answer x=2.7

Step-by-step explantion

x^2 +x-20=0

combine like terms.. so x^2 AND X TURN INTO X^3

X^3-20=0

THE SUBTRACT 20 FROM EACH SIDE

X^3=20

x=2.7

what three numbers give you 206 when multiplied

Answers

Answer:

1, 1, 206.

Step-by-step explanation:

There are nothing else that can multiply to get to 206, so this is the answer.

Solve:

1 * 1 * 206= 1 * 206= 206.

This is the only equation that can make 206 with 3 numbers.

solve for x～
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou! :)

Answers

Answer:
x =2 and x = 3

Explanation:
I’ve attached my work below

Hope it helps, Let me know if you have any other question!
Have nice rest of your day :)

After several days of camping and long-distance bicycle riding, you decide to right straight home, riding at a constant rate. After 2 hours of riding you
kilometers from home and after 4 hours of riding youare 5 kilometers from home. Once you begin to ride home, how many hours will it take you to arrive at home?

Answers

Answer:

I just need points.

Step-by-step explanation:

What’s the volume for this shape?

Answers

Answer:

60 m^3

Step-by-step explanation:

3 x 4 x 5 = 60

The others are self explanatory

Find the surface area of the square pyramid?

Answers

Answer:

C) 224 square centimeters.

Step-by-step explanation:

could someone help me super super quick?

Answers

Answer:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola

The vertex of a parabola is the point at the top or bottom of the parabola

Step-by-step explanation:

Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.

y=a(x-h)²+ky=a(x²)+3

Put (2,-5)

-5=2²a+3-5=4a+34a=-8a=-2

Equation

y=-2(x-0)²+3

y=a(x-2)²

Put (5,9)

9=a(5-2)²3²a=99=9a=1

Equation

y=(x-2)²+0

y=a(x+3)²+2

put (-1,14)

14=a(2)²+214=4a+24a=12a=3

Equation

y=3(x+3)²+2

y=a(x-5)²-3

Put (1,-8)

-8=a(-4)²-3-8=16a-316a=-5a=-5/16

Equation

y=-5/16(x-5)²-3

What is9.3 to a fraction?

Answers

Answer:

9.3 = 93 / 10

Step-by-step explanation:

show that (3*8*x)^7= 6^7*8^7*x^7

Answers

Answer:

(3*8*) ^*7*8*

Step-by-step explanation:

IM DONE TO SHOW YOU

if you invest $421 for 9 years at an interest rate of 4%, how much interest will you earn?

Answers

Step-by-step explanation:

421×9=3789 it is easy when you know your multiple choice

A system of equations is given below. To solve this system using substitution, which of the following equations could be used?
A. 2x-4x-6=8
B. 2x- (4x-6)=8
C. 2x+3(4x-6)=8
D. 2x-3(4x-6)=8

Answers

A’s answer is in the negative number so i think that is correct

solve this sum plsss

Answers

Step-by-step explanation:

the answer is in the attachment.

hope this helps you.

If a number cube is rolled, how many times would we expect to get a number less than four out of 200 trials? Answer is 100

100
25
50
75

Answers

The expected outcomes less than 4 is the average of the outcomes

We would expect to get a number less than four out of 200 trials 100 times

How to determine the expected number of rolls?

The sample space of a number cube is:

S = {1,2,3,4,5,6}

There are 3 outcomes less than 4.

So, the probability of obtaining a number less than 4 is:

p = 3/6

This gives

p = 0.5

In a roll of 200, the expected outcomes less than 4 is:

E(x) = 0.5 * 200

This gives

E(x) = 100

Hence, we would expect to get a number less than four out of 200 trials 100 times

Answers

Answer:

slope= 0.2; intercept=-1; slope-interception form: y=0.2x-1.

Step-by-step explanation:

1) if to re-write the given equation, then

[tex]y=\frac{1}{5}x-1;[/tex]

or y=0.2x-1;

this equation is slope-interception form;

2) according to the new view of the equation,

the required slope is 1/5;

the required y-intercept is -1.

HELP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The answer is C. A fraction is basically another way of writing division, and six divided by three is two.

Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate 7.
12.2 ft.
10 ft.
6 ft.
14 ft.
A = [?] ft.2
Notice that only half of the circle is included in the figure!
Enter

Answers

Answer:

209.25 ft²

Step-by-step explanation:

The area of the composite figure is the sum of the areas of its parts. Those parts are a triangle, rectangle, and semicircle.

triangle

The area formula is ...

A = 1/2bh

A = 1/2(6 ft)(10 ft) = 30 ft²

rectangle

The area formula is ...

A = bh

A = (14 ft)(10 ft) = 140 ft²

semicircle

The area formula is ...

A = 1/2πr² . . . . where radius r is half the diameter

A = 1/2(3.14)(5 ft)² = 39.25 ft²

total area

The sum of the areas of the parts is ...

total area = (30 +140 +39.25) ft² = 209.25 ft²

what is 3/8 - 1/4 = in simplest form

Answers

Answer:

1/8

Step-by-step explanation:

The lowest common multiple of 4 and 8 is 8.

1/4 = 2/8

3/8 - 1/4 = 3/8 - 2/8 = (3 - 2)/8 = 1/8

1/8 cannot be simplified further.

Suppose you deposit $2,000 in a saving account that pays interest at an annual rate of 4% with interest compounded monthly. Answer the
following questions:

(a)Write a function that represents the amount of money in the account after t years

(b) How much money is going to be in the account after 5 years.

(c) How many years will it take for the account to go over $2,500?

Answers

The function that represents the amount of money in the account after t years is f(t) = $2000(1.0033^12t).

The money in his account in five years would be $2442.

The number of years it would take to have a value over $2500 is 6 years.

What is the future value of the account?

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

f(t) = $2000(1.0033^60) = $2442

f(6) = $2000(1.0033^72) = 2535.41

To learn more about future value, please check: https://brainly.com/question/18760477

Angelica says the tangent is the ratio of the length of the leg opposite angle A ∠ A over the length of the leg adjacent to angle A This means B C must have a length of 3 3 units A C must have a length of: 4 4 units. They can find the length of Latex A B using the Pythagorean Theorem and then use it to find the sine and cosine ratios. Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine. Both students have errors in their reasoning. Identify the mistake Angelica made in her reasoning. Provide an example that shows why she is incorrect. Identify the mistake that Graciella made in her reasoning. Explain why she is incorrect. Find the ratios for the sine and cosine of angle A Explain your process.

Answers

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

What is the Trigonometry Ratios?

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

Sine ratio, sin ∅ = opp/hypCosine ratio, cos ∅ = adj/hypTangent ratio, tan ∅ = opp/adj.

What is the Pythagroean Theorem?

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

https://brainly.com/question/10417664

Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
15% tip on a bill of $551.60
The amount of the tip is approximately $

Answers

Answer:

$82.50

Step-by-step explanation:

This problem requires you round the given bill value, then compute a fraction of that rounded value.

Rounding

We want to round the bill value to the nearest $10. The digit to the right of the tens digit is 1, so we simply replace that and all digits to the right with zeros. (Had the ones digit been 5 or more, we would increment the tens digit before zeroing digits to its right.)

$551.60 rounded to nearest $10 is $550.00

Tip Amount

The amount of the tip is found by multiplying the bill by the tip rate.

$550 × 15% = $550 × 0.15 = $82.50

The amount of the tip is approximately $82.50.

_____

Additional comment

It is often relatively easy to compute a tenth or half of something in your head. We know that 15% = 10% + (1/2)(10%), and that 10% of $550 is $55.

Half of $55 is $27.50, so the tip amount will be $55.00 +27.50 = 82.50, a calculation you can do mentally.

find the missing side of this triangle 6 x 10

Answers

Answer:

√136 units

Step-by-step explanation:

We are given that;

The provided triangle is a right triangle.The measure of the legs are 6 and 10 units.The hypotenuse of the right triangle is x units.

Since the provided triangle is a right triangle, we can use pythogoras theorem to determine the missing side length of the triangle.

What is the pythogoras theorem and it's formula?

Pythogoras theorem is a formula that is used to determine the missing side length of a right triangle, with the following given;

Two side lengths (Legs)A hypotenuse (Longest side)

Pythogoras theorem is denoted as;

(c)² = (b)² + (a)²

Where, "c" is the hypotenuse; "b" and "a" are the legs.

When we substitute the measure of the two legs and the hypotenuse of the triangle, we get;

(x)² = (10)² + (6)²

Now, let's simplify the equation to determine the value of "x".

⇒ (x)² = 100 + 36 [Evaluating the squares]⇒ (x)² = 136 [Simplifying the right-hand-side]⇒ √(x)² = √136 [Taking square root both sides]⇒ x = √136 ≈ 11.66 units (2 d.p) [Taking square root both sides]

The measure of the missing side is √136 units.

Learn more aobut pythogoras theorem: https://brainly.com/question/14056085

Answer:

136

Step-by-step explanation:

In an examination,33 1/3 percentage of the examinees passed.If 240 examinees failed,find the total number of the examinees!!

Answers

Answer:

[tex]SOLUTION:-[/tex]

[tex] \rm{passed \: percent = { \displaystyle{33 \frac{1}{3} \%} = \frac{100}{3}\% }}[/tex]

[tex]{ \displaystyle{ \rm{failed \: percent = \left( 100 - \frac{100}{3} \right)}\%}}[/tex]

[tex]\displaystyle{ \frac{3 \times 100 - 100}{3}\% }[/tex]

[tex]\displaystyle{ \frac{200}{3}\% }[/tex]

Let,x be the total number of examinees:-

We have,

[tex]\displaystyle{ \frac{200}{3}\% \: \rm{of \: x = 240} }[/tex]

[tex]\displaystyle{ \frac{200}{3} \times \frac{1}{100} \rm \: x = 240}[/tex]

[tex]\displaystyle{ \rm{x = \frac{240 \times 3 \times 100}{200} }}[/tex]

[tex]\displaystyle{ \rm{x = 360}}[/tex]

Hence,required number of examinees = 360 .

In the figure below, find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.

Answers

Check the picture below.

what is the quotient of 4 ÷ 1/4?

Answers

Answer:

Step-by-step explanation:

4 divided by 1/4 =

4/.25

161 is the answer … i think

1 dozen roses for $29.75 how much does one rose cost

Answers

Answer:

$2.48

Step-by-step explanation:

29.75/12 =2.479

Please help me I need help asap

Answers

Answer:

AB = 23 , BC = 13

Step-by-step explanation:

Isosceles mean two side angle is equal to each other.

AB and AC are the same. So we can solve for x.

[tex]AB=AC\\5x-7=23\\5x=30\\x=6\\\\AB = 5x-7\\AB = 5*6-7\\AB=30-7\\AB = 23\\\\BC = 3x-5\\BC = 3*6-5 = 18 - 5 = 13\\BC = 13[/tex]

Answer:

Step-by-step explanation:

Because they tell us it's an isosceles triangle we know two sides are the same length. since AB and AC look like they are similar we can assume that those sides are the exact same length. Since we know , now, that AB and AC are equal in length, set them equal

AB = AC

now plug in given info

5x-7 = 23

nice, now use your super hero algebra skillz to solve for X. My calculus prof. always says that students are bad at algebra, i'll help you do the algebra.

5x-7=23 ( add 7 to both sides)

5x=23+7 (add 7 to 23 )

5x=30 (divide both sides by 5 )

x=6

yay, we have X now.

we know AB =23 , because of the isosceles triangle thing.

BC = 3x-5

plug in for X :)

3*6-5=BC

18-5=BC

13=BC

Yay, all the answers, and way to get the answers are above :P

Consider the following null and alternative hypotheses.

H zero: m < 67

Ha: m > 67

These hypotheses _______________.

Select one:
a. are established incorrectly
b. indicate a two-tailed test
c. indicate a one-tailed test with a rejection area in the right tail
d. indicate a one-tailed test with a rejection area in the left tail

Answers

Answer is c indicate a one tailed test

Help 111111111111111

Answers

Answer:

6/11

Step-by-step explanation:

[tex]p(number \: less \: than \: 4) = \frac{3}{11} [/tex]

[tex]p(odd \: number) = \frac{5}{11} [/tex]

[tex]p(number \: \: less \: than \: 4 \: and \: odd) = \frac{2}{11} [/tex]

Now we know that

[tex]p(aUb) = p(a) + p(b) - p(anb)[/tex]

[tex]p(getting \: number \: less \: than\: 4 \: or \: odd \: number) = [/tex]

[tex] = \frac{3}{11} + \frac{5}{11} - \frac{2}{11} [/tex]

[tex] = \frac{6}{11} [/tex]

I hope it helped you

Other Questions

(50 POINTS!) There is a country that naturally grows the most bananas, but it can't efficiently produce and distribute those bananas throughout the global market. However, a country that not only can grow bananas, but also has the infrastructure to process and distribute them, has the _______________. Why?A. absolute advantage. This is because it has a lower opportunity cost to begin exporting bananas.B. comparative advantage. This is because it has a lower opportunity cost to begin exporting bananas.C. comparative advantage. This is because the nation imports less than the other.D. ability to export. This is because the nation imports less than the other. Solve for x and explain your steps in detail using the R-E-S-T Method8x - 4 = 92 How do plants compete with each other? favorite pastimes you've always enjoyed in the summer months in spanish Mercury-203 undergoes beta minus decay. 203 80 hg 203 81 tl ? the subatomic particle produced is a(n) . 203 80 hg 203 81 tl 0 -1 e is this the correct balanced equation? . Simplify 5x-x+ 9 =X=3 please answer this question Pick a square that doesnt belong with the others and explain why you made your choice. These People! I cant do this!!! I need YOU!Ross and Rachel are in NYC shopping. After each store they visit, they have less and less money each. Use the system of equations below toA) determine the number of stores it will take for both to have the same amount of money.B) determine how much spending money they will both have at this time.ROSS: a = 927 - 45sRACHEL: a = 792 - 36s Question 2 of 10Solve (x 4)2 = 5.O A. x=-4+25O x XO B. x=514O C. x = 9 and x= -1O D. x = 4+15 Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class. art: mean absolute deviation of 2. 1Spanish: mean absolute deviation of 0. 8creative writing: mean absolute deviation of 2. 7In which elective were her scores the most spread out? What is the absolute deviation of 4 in this data set?{6, 22, 14, 9, 11,4} A. 2 B. 3 C. 7 D. 11 Which three side lengths cannot form a triangle Need help with this geometry question! 9) Find the domain of the inverse Complete the table to show the actual distance of the paths,in miles (3,-2) (4,6) what is the slope Re-write the quadratic function below in Standard Formy=8(x+6)(x-2) which is the best definition of the word naturalization. A singular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?