Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side? 16 inches 17 inches 24 inches 25 inches

Answers

Answer 1

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

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

[tex]$c^2 > (9)^2 +(14)^2$[/tex]

[tex]$c^2 > 81 +196$[/tex]

[tex]$c^2 > 277$[/tex]

c > 16.64

Therefore the smallest possible whole number is 17 inches.

Answer 2

It should be noted that the length of the unknown side will be 17 inches.

From the information given, we are informed that the sides of an obtuse triangle measure 9 inches and 14 inches.

Therefore, the third side will be:

c² = 9² + 14²

c² = 81 + 196

c² = 277

c = ✓277

c = 16.64

c = 17

In conclusion, the correct option is 17 inches.

Learn more about triangles on:

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Related Questions

please help asap ;-;

Answers

Answer:

D.

Step-by-step explanation:

Both have a slope or "rate of change" of 1/2 because going from (0,5)-->(2,6) on the first one you go right 2 units and up 1 and slope is rise over run or y/x values in this case it would be 1/2 and on the bottom function you can see it goes from (0,-2)-->(4,0) and this goes right 4 units and up 2 units same principal applies you get 2/4 which is equal to 1/2 also it being negative or not doesn't change whether the two functions have the same rate of change.

How do you divide positive and negative fractions?​

Answers

Answer:

Find the reciprocal of the divisor, or second fraction.

Multiply the numerators together.

Multiply the denominators together.

Simplify the answer if possible.

Determine if the answer is positive or negative using the sign rules.

Step-by-step explanation:

Answer: first find the reciprocal of the second fraction then multiply numerators  and denominators and then see if you can simplify  the equation

1.Which system of linear inequalities is graphed?

Answers

It’s d ......................................


60 pounds what percentage of the weight limit is 33 pounds

Answers

Answer:47%

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

add 5m{3-m} and 5m {2+m} is​

Answers

(2+m)si                   thats wat i got, hope its right

I just did it and it is : 2m + m2

€1=£0.72
how many € in one £

Answers

7 I would think or 0 since it’s not a whole

can you pls tell me i am having hard time with time PLS HELP ( slope btw)

Answers

Answer: The slope is 2/6, but simplified it is 1/3

Answer:

1/3

Step-by-step explanation:

you take rise (change in Y) over run (change in Y)

( 4.04 x 10^8) + ( 7 x 10*9 )

Answers

Answer:

404000630

Step-by-step explanation:

4.04×10^8+7×10×9

4.04×100000000+7×10×9

404000000+7×10×9

404000000+70×9

404000000+630

404000630

Politician Alec and Candidate Simeon are running for governor. The latest surveys show that Politician Alec has 47% of the vote, while Candidate Simeon has 42% of the vote. The news report, however, states that this survey has a 6 % margin of error. What interval describes Politicians Alec's chances of winning the election?

Answers

Answer:

(41%, 53%)

Step-by-step explanation:

Given that:

Politician Alec's vote = 47%

Candidate Simeon = 42%

Margin of Error = 6%

Interval which describes Alec's chances of winning

Chances of Alec winning (p) = 47%

Margin of Error = 6%

Interval :

p ± margin of error

47% ± 6%

47% - 6% ; 47% + 6%

(41%, 53%)

I need help with this question

Answers

Answer:

Its B

Step-by-step explanation:

you have to subtract 320-70 to get 250. If you didn't you be able to divide 5 cleanly

On a bird-watching trip, Tai and Mei counted 94 birds.
Of these, 55 of the birds were sparrows. Which value
is a reasonable estimate of the percent of sparrows in
the birds Tai and Mei counted?

Answers

58.51%

however, it is estimating so depending on the answer choices it would be around 55-60% or so

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?​

Answers

Answer:

the fourth one

Step-by-step explanation:

every 2 hours will be a positive line segment relating to the 7 meters give you the point of 14 every 4 hours

Answer:

the fourth one..

Step-by-step explanation:

What will I do?

Activity 1:

Mang Cardo is a hard-working old man who owns 6 hectares of land. At his age, he wanted to divide his land equally to his children. If each child will get 0.75 hectares, how many children does the man have?

Activity 2:

What is the quotient of 0.49 and 0.07?

Activity 3:

Maureen has 11.75 meters of cloth to be made into table napkins. If each napkin measures 0.25 meter, how many table napkins can she make?

Activity 4:

A restaurant owner orders table cloth of 1.75 meters long each. She only has 26.25 meters of cloth left. How many table cloths can be made from it?

solution is needed ​

Answers

Answer:

i ithink number 2 or 4 hehehhehe yea

For what values of x is the inequality (x-4)2 > true?

Answers

Answer:

You multiply both sides of this inequality by −1, we get −4 > −2.

look at the dog my uncle just found and adopted 6 months ago and look at him now.

Answers

Answer

Wow :)))

Step-by-step explanation:

Yoga lessons cost $5 per lesson if Kylie enrolls in the health club for a
fee of $120 per year. Suppose Kylie joins the health club. Which equation
represents the yearly cost C of l yoga lessons?

Answers

Answer:

For one year the fee would be,

C = $120 + $5l

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

PLEASE PLEASE HELP I WILL GIVE BRAINALIST

Answers

Answer:

Answer: -1. the slope is when you count the space from the y-intercept to the x-intercept. So 2 down and 2 right. It's negative because you go down. -2/2 simplified is -1.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Edit: My bad if its the simplest form then the answer would be -1, sorry

Answer:

The answer is -2/2 because it goes down 2 times (-2) and right twice (2) to reach the next point

After you simplify -2/2 you get -1. Therefore your answer would be -1

Hope this helped!!

If Courtney has 14 hits out of 50 at bats, how many hits must she get in her next 50 at bats to finish with a .300 average?

Answers

Answer:

14 im pretty sure

Step-by-step explanation:

.

To calculate the number of hits Courtney must get in her next 50 at-bats to achieve a .300 batting average, we'll need to consider her current stats.

The batting average is determined by dividing the total number of hits by the total number of at-bats. Currently, Courtney has 14 hits out of 50 at-bats, which gives her a batting average of [tex]14/50 = 0.28[/tex]  or a 28% average. To achieve a .300 batting average, she needs her hits to make up 30% of her total at-bats.

Since Courtney will have 100 at-bats after her next 50, she'll need to have 30 hits to achieve her desired average. To calculate the number of hits needed in her next 50 at-bats, we subtract her current hits from the target hits. Therefore, Courtney needs [tex]30 hits - 14 hits = 16[/tex] hits in her next 50 at-bats to finish with a .300 average.

To know more about average visit:

https://brainly.com/question/34397603

#SPJ2


Lisa hikes 9 miles in 2 hours. At this rate, how far does she hike in hours?
O 2 miles
O4 miles
O 3 miles
O 3 miles

Answers

4.5 miles in 1 hour

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality to determine the number of days Diego's father can drive the car without the warning light coming on. 10 points 14− 0.6t > 1.5 14− 0.6t < 1.5 14+ 0.6t > 1.5 14+ 0.6t < 1.5

Answers

Answer:

[tex]14-0.6t>1.5[/tex]

Step-by-step explanation:

The amount of fuel the car holds is fixed i.e., 14 gallons

The amount of fuel consumed every day is 0.6 gallons

Warning light comes on when the fuel level is 1.5 gallons or less.

Let t be the number of days the car runs for

So the amount of fuel consumed in all the days must be less than 1.5.

The equation will be

[tex]14-0.6t>1.5\\\Rightarrow -0.6t>1.5-14\\\Rightarrow -0.6t>-12.5\\\Rightarrow 0.6t<12.5\\\Rightarrow t<\dfrac{12.5}{0.6}\\\Rightarrow t<20.83[/tex]

So, the number of days the car can be driven without the warning light coming on is less than 20.83 days.

Hence, the required inequality is [tex]14-0.6t>1.5[/tex].

The table below is data of a baseball player's homeruns
according to the years played
Year
Homeruns
1
17
Determine what data is used to create a scatterplot.
Check all that apply.
Homeruns is the x-axis label.
Homeruns is the y-axis label.
The ordered pair (3, 15) is found on the scatterplot.
The ordered pair (17, 1) is found on the scatterplot.
The data is plotted as points so a relationship can
be visualized.
2.
30
3
15
4
36
5
41
6
27

Answers

Answer:

C is the anser on edege

Step-by-step explanation:

Answer:

2 3 5 on edge

Step-by-step explanation:

Change
16
5
into a mixed number
(Write a space between whole numbers and fractions)

Answers

Answer:

3 1/5

Step-by-step explanation:

you divide 16 by 5 (which is 3 with one left over)

3 is your whole number and because there is one left over, that becomes your new neumerator, and the denominator always says the same

what equality is shown above

Answers

Answer: If you see this line solid its > or equal too this > with line underneath

If you see line broken it's only >

Y>_ - 1/4x+2

Step-by-step explanation:

Starts at 2 on y then next pt go down 1 and 4 to the right

4. John gets a new job and receives a $700 signing bonus. After that, he makes $250 a day
What is the y intercept of the equation that describes the situation
I need to know if the answer is y=700

Answers

Answer:Yes the answer would be 700 since that is the starting amount.

Step-by-step explanation:

Tyrik plans to rent a car for the weekend. The cost to rent the car is $45 plus $0.15 for each mile he drives. Write a function rule for the total cost of the rental. How much is the rental if he travels 500 miles?

Answers

Answer:

y=.15x+45

$120

Step-by-step explanation:

.15*500=75

75+45=120

(11x - 1.8) - (15x + 6.6) = 11x - 1.8 - 15x + 6.6 = - 4x + 4.8​

Answers

Answer:

Infinitely many solutions

True for all x values

Step-by-step explanation:

PLEASE HELP!!!

I don't understand how it works...
if possible, please explain how you got your answer.

Thanks!!!​

Answers

Answer:

C ($1834.44)

Step-by-step explanation:

Compound interest formula: P = T (1+ r/100)^t

Where

P is the Total amount of money at the end of the time period

T is the money invested at the start

r is the interest rate

and

t is the time by which interest is compounded

Since interest is compounded quarterly,

r is divided by 4 and T is multiplied by 4

therefore,

Total amount = $1800.00( 1 + 1.9÷4/100) ^1×4

= $1834.44

Help dude it’s due today in 58 minutes !!!!!

Answers

Answer:

Use math-way For more help!

a  slope 2/1

b  y int = 8

c  y= 2x +8

Step-by-step explanation:

type in the coordinates then tap to find: slope

The gross monthly salary of a permanent secretary is $6,583. Find his net annual salary after deductions of $1,475 were made monthly.

Answers

Answer:

oh my gosh they have it

Step-by-step explanation:

gLiZzY

In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

0.064

Step-by-step explanation:

Step one;

given

Total students= 33

Both Art and Biology= 7

Biology but not Art=10

Neither subject= 7

The sample space= 33

Required

the probability of  student studying Art and Biology

P(Art and Biology)= 7/33*10/33

=70/1089

=0.064

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