Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose the correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP

Determine If A Triangle Can Have The Given Side Lengths. If Yes, Which Type Of Triangle Is Formed By

Answers

Answer 1

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

[tex]c^2=a^2+b^2[/tex]

We have a right triangle.

[tex]c^2>a^2+b^2[/tex]

We have an obtuse triangle.

And if:

[tex]c^2<a^2+b^2[/tex]

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]

Evaluate:

[tex]1681=1681[/tex]

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.


Related Questions

solve the following equation for x.​

Answers

Answer:

9

Step-by-step explanation:

simplify both sides of the equation then isolate the variables. hope this helps

URGENT SOMEONE PLEASE HELP!!

Answers

Answer:

45°

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Answer:

1: 90 degrees

2: 45 degrees

3: 8

Step-by-step explanation:

This is the only reasonable answer

Help please asap! Give work for each question and number each of them so I know, ty again!​

Answers

Answer:

1. 258 square meters

2. 180 square meters

3. 286 square feet

Step-by-step explanation:

1. Find the surface area of each side:

9 * 5 + 5 * 6 + 9 * 5 + 6 * 5 + 9 * 6 + 9 * 6

45 + 30 + 45 + 30 + 54 + 54

75 + 75 + 108

150 + 108

258

2. Base: 5 * 5 = 25

Top: 5 * 5 = 25

Sides: each 5 * 6.5 = 32.5

Altogether: 32.5 * 4 = 130

130 + 25 + 25 = 180

3. Base and top: both 8 * 10 = 80, together 80 * 2 = 160

Front and back sides: both 8 * 3.5 = 28, together 28 * 2 = 56

Left and right sides: both 10 * 3.5 = 35, together 35 * 2 = 70

Altogether: 160 + 56 + 70 = 286 sq feet

Help? I cannot get my head around it.

Answers

Answer:

60cm³

Step-by-step explanation:

A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
A The only zero of the function is 3 which is where the graph of the function intersects the x-axis
В. The only zero of the function is 3 which is where the graph of the function intersects the y-axis.
C.The only zero of the function is , which is where the graph of the function intersects the x-axis.
D.The only zero of the function is is where the graph of the function intersects the y-axis .

Answers

Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Step-by-step explanation:

Remember, a quadratic function which has roots x = a, and x = b, can be written as:

p(x) = A*(x - a)*(x - b)

Where A is the leading coefficient. This is the factorized form of a quadratic.

We have the function:

f(x) = (x - 3)^2

Now, we could rewrite this as:

f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)

Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)

Then the only root of f(x) is x = 3.

Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:

A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis

Cuanto es 28 dividido entre 78976 ​

Answers

Answer:

.00035453808

Step-by-step explanation

-1+5.8x=1-(9.1x+10)+8.5x solve for x​

Answers

Answer:

ehjrbbvhbvebvuhbdhvhdhsduhsdbrhw

Step-by-step explanation:

A number 1 multiplied by –4 is at least 5/6
Write this word sentence as an inequality.

PLS HELP

Answers

Answer:

4n ≥ 5/6

Step-by-step explanation:

Hope this helps!!!

Please someone i need it in 2 minutes please

Answers

Answer:

Step-by-step explanation:

if you draw the situation you get a right triangle with

hypothenuse Edelton Walton and the Park City as the vertex of the right angle

Michael went 38+25= 63 miles

Landon went the length of the hypothenuse so use Pythagorean theorem

√38²+25² ≅45.49miles

Michael went 63-45.5 ≅17.5 further

resolver las siguientes multiplicaciones de fraciones​

Answers

what multiplications of fractions?

Answer:

Which one?

Step-by-step explanation:

Angle 1 is 135
Angle 2 is ?
Angle 3 is 135


Angle 3 is an exterior angle. What is the missing angle

A. 45

B. 80

C. 90

D. 180

Answers

Answer:

80

Step-by-step explanation:

di ko po alam kung tama ba

(sana po makatulong po)

A blueprint for a house has a scale factor n = 45. A wall in the blueprint is 5 in. What is the length of the actual wall

Answers

Answer:

The length of the actual wall is 405 inches or 33.75 feet

what is an equal expression for 8(5m+5n-1) ?? Please and Thank you

Answers

The equal expression is 40m+40n-8

A recent study found that 2.56% of college graduates were unemployed and 5.35% of high school graduates (with no college degree) were unemployed. The study surveyed 586 college graduates and 467 high school graduates. Construct a 95% confidence interval for the difference of the proportion of unemployed college graduates minus the proportion of unemployed high school graduates.

Answers

.........................

Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).

What is the mean and the standard error of the distribution of differences?

For each sample, the mean and the standard error are given by:

[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]

[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]

Hence, for the distribution of differences, the mean and the standard error are given by:

[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]

[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]

What is the confidence interval?

It is given by:

[tex]p \pm zs[/tex]

In which z is the critical value.

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

Then, the bounds of the interval are given as follows:

[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]

[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]

The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).

More can be learned about the z-distribution at https://brainly.com/question/25890103

The school band is having its end-of-year dinner at a local restaurant. The director wants to give the server a 20% gratuity, and the sales tax is 8.25%. He
will use the amount of the bill to find each additional amount.
Part A
Which components would the director use to write an equation to determine the total cost of the meal, given the amount of the bill, <?
Select all the components of the equation.
X+0.20
0.825x
0.20x
x+0.825
0.0825x
x

Answers

Answer:

Step-by-step explanation:

x is the amount of the bill

tax = 8.25% of x = 0.0825x

tip = 20% of x = 0.20x

total payment = x + 0.0825x + 0.20x = 1.2825x

The total cost of the meal is given by the equation A = x + 0.2x + 0.0825x and A = 1.2825x , where x is the initial cost of the meal

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let total cost of the meal be represented as A

Now , the equation will be

Let the cost of the meal be x

Let the tip percentage be = 20 %

Now , the sales tax percentage of the meal = 8.25 %

So , the total cost of the meal A = cost of the meal + ( tip percentage x cost of the meal ) + ( sales tax percentage of the meal x cost of the meal )

Substituting the values in the equation , we get

The total cost of the meal A = x + ( 20/100 )x + ( 8.25/100 )x

On simplifying the equation , we get

The total cost of the meal A = x + 0.2x + 0.0825x

The total cost of the meal A = 1.2825x

Hence , the equation is A = 1.2825x

To learn more about equations click :

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.
Simplify the expression below.
1/2x²+2+1/4x+8
plz help

Answers

1/2x^2+10+1/4x is your answer

Answer:

[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} {x}^{2} + 2 + \frac{1}{4} x + 8[/tex]

[tex]2 + 8 = 10[/tex]

[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]

Hello. Giving Brainliest for whoever is correct.


A poster is shown below:

A rectangle is shown. The length of the rectangle is labeled 12 feet. The width of the rectangle is labeled 3 feet.

What are the dimensions if the poster is enlarged by a factor of five over two ?

7.5 ft by 30 ft
15 ft by 60 ft
1.5 ft by 6 ft
15 ft by 6 ft

Answers

Answer: 7.5 ft by 30ft

Explanation: 12*5/2=60/2=30 ft
3*5/2=15/2=7.5 ft

If you help I will give you brainiest

Answers

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...

  time = distance / speed

The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.

  total time = time spent walking + time spent riding

  13/6 = (d/3) + (20-d)/30

Multiplying by 30 gives ...

  65 = 10d + 20 -d

  45 = 9d . . . . . . . . . . subtract 20

  5 = d . . . . . . . . . . . . divide by 9

The girl walked 5 miles.

_____

Check

Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.

Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.

Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.

5x-(x-18)=6-2(x+15) Help!

Answers

Answer:

Step-by-step explanation:

5x-(x-18)=6-2(x+15)

5x-x+18=6-2x-30

6x=-42

x=-7

The equivalent value of the expression is x = -7

Given data ,

Let the equation be represented as A

Now , the value of A is

5x - ( x - 18 ) = 6 - 2 ( x + 15 )

On simplifying the equation , we get

5x - ( x - 18 ) = 6 - 2 ( x + 15 )

So , the left hand side of the equation is equated to the right hand side by the value of 6 - 2 ( x + 15 )

Opening the parenthesis on both sides , we get

5x - x + 18 = 6 - 2x - 30

From the distributive property , we get

5x - x + 18 = 6 - 2x - 30

On further simplification , we get

4x + 18 = -2x - 24

Adding 2x on both sides , we get

6x + 18 = -24

Subtracting 18 on both sides , we get

6x = -24 - 18

6x = -42

Divide by 6 on both sides , we get

x = -42/6

x = -7

Therefore , the value of x = -7

Hence , the expression is x = -7

To learn more about equations click :

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A map scale reads: 2 inches = 25 miles. Which distance does 6 inches representa
150 miles
200 miles
5 miles

Answers

150 miles for six miles
The answer is supposed to be 75 miles...

GIVING BRIANLIEST
Find the coefficient of the given term in the specified row of Pascal's triangle.

row7, term 3

Answers

Answer:

28

Step-by-step explanation:

7C2

The 3rd term of 7th row of the Pascals triangle is 21.

We have a Pascal's triangle.

We have to determine the 3rd term of 7th row of this triangle.

What is Pascal's triangle ?

A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -

[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]

If we have to find the element or term at position - m in row number - n, than the element will be -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

We have - n = 7 and m = 3

[7] C [2] = [6] C [1] + [6] C [2]

[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]

Hence, the 3rd term of 7th row of the Pascals triangle is 21.

To solve more questions on Pascals Triangle, visit the link below-

https://brainly.com/question/15655806

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please help! (URGENT)

Answers

Answer:

X = 5

Step-by-step explanation:

PLEASE HELP WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!

What is the equation for this linear function? Enter any answers to two decimal places

Answers

answer: y = 3x + 1

let me know if you want to see the math

please help!!!!!!

answer with numbers next to it so Ik which answer it goes to

Answers

2. Distributive property (multiplying the -2 to the items in parentheses)
3. Subtraction property (subtracting 8 from 3)
4. Addition property (adding 5 to both sides)
5. -4x = 16 (subtracting 6x from both sides)
6. x = -4 (dividing both sides by -4)

At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real
ostate agency and the commission rate for the agent is 25% of the amount the real estate agency
goto How much did the agency make on the hous? How much did the agent cam in commission?

Answers

9514 1404 393

Answer:

agency: $14,306agent: $3,576.50

Step-by-step explanation:

The agency's commission was ...

  0.046 × $311,000 = $14,306

The agent's commission was ...

  0.25 × $14,306 = $3,576.50

__

The agency made $14,306; the agent earned $3,576.50.

you have a pie with 6 pieces and you eat 2. what fraction is that?​

Answers

Answer:

1/3 is eaten and 2/3 is left

Step-by-step explanation:

Say instead you cut the pizza into smaller pieces. How about cutting the whole pizza pie into 12 equal pieces? Each of five people takes one piece or 1/12 of the pie. Each piece is very small, much smaller than 1/6 of the pie or 1/4 of the pie. 5 of the 12 pieces or as a fraction 5/12 are gone. How many are left? 12 pieces minus 5 pizza slices equals 7 pieces left. Now 7 of 12 pieces pizza are left in your pie; that can be written as a fraction, too: 7/12.

Whoever can answer this with work gets branliest

Answers

Those look hard

But maybe someone can help

what is the prime factorization for 900​

Answers

Answer:

prime factors of 900 are 2,2,3,3,5,5

which is the same as 2^2×3^2×5^2

the sum of two numbers is 72 and their difference is 26. find two numbers?

Answers

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}

7 + 79x79x= − 42 Solve this within 5 minutes !

Answers

42 rhhrhjejrjfitkkrjrjrhrt
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