Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side? 18 inches 19 inches 24 inches 25 inches

Answers

Answer 1

Answer:

19 inches is the correct answer.

Step-by-step explanation:

Side 1 = 10 inches

Side 2 = 15 inches

It is given that it is an obtuse angle triangle i.e. the largest angle of the triangle is more than [tex]90^\circ[/tex].

Let us suppose, that the triangle be a right angle triangle, then the largest angle will be [tex]90^\circ[/tex]. The largest side is known as Hypotenuse.

As per pythagoras theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]

[tex]\Rightarrow 10^{2} + 15^{2} = Hypotenuse^2\\\Rightarrow 325 = Hypotenuse^2\\\Rightarrow Hypotenuse = 18.04\ inches[/tex]

So, largest side comes out be 18.04 inches.

But actually, the largest angle is more than [tex]90^\circ[/tex] so the largest side will also be greater than 18.04 inches.

Hence, the answer is:

Smallest possible whole number length of unknown side will be 19 inches.

Answer 2

Answer:

I did the test and thecorrect option was 18.


Related Questions

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

to add the two equations, you have to make sure that the y's are the same. you would do this by multiplying each equation by the other equation's y variable

The data set below shows prices for concert tickets in 10 major cities. Find the interquartile range​ (IQR) of the set. How do the middle​ 50% of the prices​ vary?

Answers

Answer: IQR = 16

Step-by-step explanation:

Given the following data:

Cost of concert :

CITY : Q, R, S, T, U, V, W, X, Y, Z

Price : 35,36,42,38, 24,29,25, 44,49, 26

Interquartile range (IQR) = Q3 - Q1

Where,

Q3 = the upper quartile

Q1 = lower quartile

Rearranging the data:

24,25,26,29,35,36,38,42,44,49

Q3 = 42

Q1 = 26

IQR = (42 - 26) = 16

Answer:

18 (for the IQR)

Step-by-step explanation:

Well, follow the equation the other person did. You'd get the right answer if you do the stuff right. And for people where it has another part to it, the answer would be D.

I hope this helps :)

A softball pitcher pitches a ball at a speed of 74 miles per hour. What conversion factor can be used to find the speed of the ball in feet per second?

Answers

Answer:

5280 ft

-----------      

1 mile

Step-by-step explanation:

We need to convert miles to feet and hours to seconds

1 mile = 5280 ft

and

1 hours = 3600 seconds

5280 ft

-----------      

1 mile

1 hour

----------

3600 seconds  but since this isn't an option

Find the 7th term of the arithmetic sequence. 2, 13, 24, 35, 46,...

Answers

Answer: 68

Step-by-step explanation: Each time the number goes up by 11, you can just add 22 ( 2 more steps to the sequence) to the last one given to get the 7th term

How can you get 2 to the power of -3 from the fraction 1/8?

Answers

from indices, 8 = 2³.

hence, 1/8 = 1/2³

when u bring the power up to the numerator, the power becomes negative. hence your answer

2^-3

A patient was given medicine. She took 5 ml of
medicine 3 times in one day. How much medicine did
she take in total that day?​

Answers

Answer:

15 ml.

Step-by-step explanation:

That is 3 * 5 ml = 15 ml in one day.

Answer:

h9978y

Step-by-step explanation:

find the area of the shape below

Answers

answer: 31.5

area of a triangle= bh/2 —> 7 times 3 divided by 2 equals 10.5
area of a rectangle = bh —> 7 times three equals 21
21+10.5=31.5

Answer:

The figure is a composite shape.

Theres 1 triangle and 1 rectangle

The formula to find the area of the triangle is 1/2 x base x height

1/2 x 7 x 3 = 10.5 units^2

The formula to find the area of the rectangle is base x height

7 x 3 = 21 units^2

Then add up all the areas to find the area of the entire shape.

10.5 units^2 + 21 units^2 = 31.5 units^2

plz mark brainliest if this helped :)

Which ratio is also equal to StartFraction R T Over R X EndFraction and StartFraction R S Over R Y End Fraction?

Answers

Answer:

ST/XY

Step-by-step explanation:

(RT/RX)/(RS/RY)= ST/XY

if the shapes are equal  and the same then the ratio are equal

if RT is corresponds to RX and RS is corresponds to RY then TS corresponds to TS

i need help asap pllz help !!​

Answers

Answer:

14/28

Step-by-step explanation:

14/28 reduces down to 1/2

You estimate that there are 64 marbles in a jar. The actual amount is 46 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

percentage error = 39.1%

Step-by-step explanation:

You estimate that there are 64 marbles in a jar. The actual amount is 46 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.

Given that You estimate that there are 64 marbles in a jar.

The actual amount is 46 marbles

Actual marbles = 46

Your estimate = 64

[tex]\% error =\frac{estimated - actual}{actual}[/tex]

% error = | estimate - actual | / actual × 100%

estimate amount - actual amount = 64 - 46 = 18

[tex]= \frac{18}{46} \times 100\\\\=0.391\times 100\\\\=39.1 \%[/tex]

Therefore,  percentage error = 39.1%

A Roth IRA is advertised to pay 1.5% annual interest. You researched the rate of inflation to be 1.15% this year. What is the actual or real rate of return on the IRA?

Answers

Answer: 0.35%

Step-by-step explanation:

Given the following :

Advertised interest rate = nominal rate = 1.5%

Inflation rate = 1.15%

The real rate of return is calculated by:

[(1 + nominal rate) / ( 1 + inflation rate)] - 1

[(1 + (1.5/100)) / (1 + (1.15/100))] - 1

[(1 + 0.015) / ( 1 + 0.0115)] - 1

[ 1.015 / 1.0115] - 1

1.0034602 - 1 = 0.0034602

Real rate of return = (0.0034602 * 100)%

Real rate of return = 0.346%

Answer: 0.35%

Step-by-step explanation:

Julie needs to cut 4 pieces of yam, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the
length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the
total length of all of the yarn that she ends up cutting, y is the graph of the equation continuous or discrete?

Answers

Answer:

She has to cut another piece = 7.75 inches

Total length = 4x + 7.75

This is what y represent, so

y = 4x + 7.75

The graph of the equation is continuous

Given: cos∅ =-4/5 , sinФ = -12/13 , ∅ is in the third quadrant, and Ф is in the fourth quadrant. Evaluate Sin(∅+Ф)

Answers

Answer:

63/65

Step-by-step explanation:

the angles are in fourth and third quadrants so all the sin and cos values are minus

given that f(x)=2x+1, a) find f(2) b) find f -1(x) c) find f-1(7)

Answers

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 2x + 1

(a)

To evaluate f(2) substitute x = 2 into f(x), that is

f(2) = 2(2) + 1 = 4 + 1 = 5

(b)

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

change y back into terms of x and x = [tex]f^{-1}[/tex] (x) , thus

[tex]f^{-1}[/tex] (x ) = [tex]\frac{x-1}{2}[/tex]

(c)

To evaluate the inverse function substitute x = 7, that is

[tex]f^{-1}[/tex] (7) = [tex]\frac{7-1}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

What was the ORIGINAL price of an item that cost $55.50 AFTER a 75%
discount? *

Answers

Answer:

$222

Step-by-step explanation:

Coleen, had a choise between 3/10 of a bag of candy or 3/6 of a bag of candy.if she want to get as much candy as possible, which one should she choose?

Answers

Answer:

3/6 of a bag of candy

Step-by-step explanation:

When you do butterfly method, u may have learned or not but u do.

3/10, 3/6

and you multiply across

So, 6x3=18 and 10x3=30

and 3/6 has a higher value, so its correct

Three people become infected with a virus that spreads quickly. Each day that passes, the number of infected people doubles. How can the number of infected people be determined from the number of days that have passed?

Answers

Answer: raise 2 to the number of days, and then multiply this  value by 3.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Which polygons are similar? 3 4 2 1 If someone can help me with this and as fast as possible i would amazingly appreciate it

Answers

Answer:

1 and 4

Step-by-step explanation:

1 and 4 are similar

have 3 congruent angles

1 and 4

Because they have the same degree in the same area and if you plug in the degree and find the missing side you’ll get the same as 1

Classify the following triangle. Check all that apply.

Answers

Answer:

The triangle is an acute scalene triangle

Step-by-step explanation:

None of the sides have the same length so the triangle is scalene

All of the angles are less than 90 degrees so all of the angles are acute

The triangle is an acute scalene triangle

it’s acute and scalene, so D and F

At the beginning of a population study , a city had 370,000 people. Each year since the population had grown by 7.9%. Let t be the number for years since start of the study. Let y be the city’s population. Write an exponential function showing the relationship between y and t

Answers

Answer:

Population = starting population * ( 1 + rate) ^ years

y = 370,000 * (1.079) ^ t

Step-by-step explanation:

Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set

Answers

Answer: The mean will increase and the median would not change

Step-by-step explanation:

Recorded data by Priya :

Data: 1,8,6,2,4

Mean of data = (1+8+6+2+4)/5

=21/5 = 4.2

Median of data = 1,2,4,6,8

Median = 4

Correct data: 1,18,6,2,4

Mean of data = (1+18+6+2+4)/5

=31/5 = 6.2

Median of data = 1,2,4,6,18

Median = 4

Therefore ; according to the evaluation above, the median will remain unchanged, but the mean increased from 4.20 to 6.20.

Two objects that are the same shape but not the same size are ___

Answers

Answer:

The answer to your question: Similar

Step-by-step explanatioN

i picked this answer because they have one comparison- same shape

what is comparison- the same features in something  between 2 objects or more

this also means similar

so it is similar

Answer:

Similar

Step-by-step explanation:

2x - 2y + z= -7
-x + 3y + 2z = 0
x - 4y - 3z= 1​

Answers

Answer:

Step-by-step explanation:

I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule.  Do that by finding the determinant of the matrix, |A|.  The matrix A looks like this:

2   -2   1

-1     3   2

1    -4   -3

and we find the determinant of a 3x3 by expanding it.  Do that by picking up the first 2 columns and throw them on at the end, like this:

2   -2    1     2   -2

-1     3    2    -1    3

1    -4    -3    1    -4

and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:

[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to

-18 - (-19) = 1

So the determinant of the matrix A is |A| = 1.

Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:

2    -7     1     2     -7

-1      0     2    -1     0

1      1     -3     1      1

and find the determinant of y:

[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to

-15 - (-17) = 2

So the detminant of y is |Ay| = 2

We can solve for the variable now by dividing Ay by A:

2 / 1 = 2

So the solution for y = 2

Find the area of the shape below

Answers

Answer:

32 units^2

Step-by-step explanation:

This is a trapezoid

The area of a trapezoid is found by

A = 1/2 (b1+b2) h

A = 1/2 ( 4+12) *4

A = 1/2 (16) *4

A =32

Answer:

I think the answer is 32.!

Step-by-step explanation:

Anyone please correct me if I'm wrong.

I would divide the 12 into 3 to get 4 for the 3 parts.

I will start with the triangle on the left 4 times 4=16. Divide it 1/2, which you get 8.

On the triangle on the right is the same, so 8.

The middle is 4 times 4=16.

Last 8+8+16=32.

I think the answer is 32 units.!

Use the parabola tool to graph the quadratic function f(x)=(x−2)(x−6). Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

Step-by-step explanation:

(x-2)(x-6)= x^2-8x+12

vertex (4,-4)

Answer:

Step-by-step explanation:

Dorinda worked 2 part- time jobs and earned $234.50 for working a total of 30 hours at both jobs. She is paid $7.50 per hour at Job A and $8.00 per hour at Job B. How many hours did Dorinda work at Job A?

Answers

Answer:

Dorinda worked at Job A for 11 hours

Step-by-step explanation:

Step one

This is a word that leads to simultaneous.

Let us begin by modeling the system of equation from the problem

Let x and y be the number of hours worked in both jobs A and B respectively

Step two

x+y=30---------1

7.5x+8y=234.50----2

Solving the equations simultaneously we have

1. Multiplying equation 1 by 8 and equation 2 by 1 and subtracting from equation 2 to find y

8x+8y=240---------1

- 7.5x+8y=234.50----2

=0.5x=5.5

x=5.5/0.5

x= 11hrs

Substituting x=11 in equation 1 we can find y

11+y=30

y= 30-11

y= 19hrs

Work out the Find the area of the isosceles triangle with sides of 13cm and a base of 10cm. Show your workings

Answers

Answer:

60 cm²

Step-by-step explanation:

a=c= 13 cm

b= 10 cm

A=?

------------

A=bh/2

h is the leg of the right triangle with hypotenuse 13 cm and other leg 10/2 cmh= √13²-5²= √169-25= √144= 12 cmA= 10*12/2= 60 cm²

Marjorie needs to cut 7 yards of fabric into sections that are 7 of a yard long. How many sections will she be able to cut from the


fabric?


A


2


B.


14


C.


6/7


D.


49

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

So she needs sections that are 1/7th of a yard long

There are 7 'sevenths' in one yard

Multiply this value by the number of yards:

7 x 7 = 49

The answer would be D. 49

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how do I find the angles of a triangle when given all the lengths and no angle?​

Answers

that’s a SSS triangle so you need to use the law of cosines to calculate one of the angles. then use it again to calculate the other than subtract from 180 to find the 3rd

use the two graphs to help complete the statements below.

Answers

Answer:

graph a: $10 dollars an hour

graph b: 10

Step-by-step explanation:

slope is calculated by rise over run ([tex]\frac{rise}{run}[/tex]) which means how many the line goes up divided by how many the line goes over (to the right)

negative slope is how many the line goes down divided by how many the line goes over (to the right)

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