The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.

What is the greatest possible whole-number value of the congruent side lengths?

A.9 cm
B.10 cm
C.14 cm
D.15 cm

Answers

Answer 1
B.10 cm hopes this helps
Answer 2

Answer:

C. 14 cm

Step-by-step explanation:

According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the measure of the third side.

Given,

The longest side of an isosceles obtuse triangle measures 20 centimeters.

Let x be the measure of the other two congruent sides,

By the above property,

20 < x + x

20 < 2x

10 < x

Thus, the measure of congruent sides must be greater than 10 cm,

Now, In an isosceles obtuse triangle, the square of the longest side is greater than the sum of squares of the other two congruent sides.

[tex](20)^2>x^2+x^2[/tex]

[tex]400>2x^2[/tex]

[tex]200>x^2[/tex]

[tex]10\sqrt{2}>x[/tex]

Since, √2 = 1.41421356≈ 1.41

[tex]\implies x < 10\times 1.41\implies x < 14.1[/tex]

Hence, the greatest possible whole-number value of the congruent side lengths is 14.

Option C is correct.


Related Questions

74 – (25 + d) + ¾ d = 44 please show your work. Solve for d

Answers

Your answer is: d=20.

Here is my work:

74 – (25 + d) + ¾ d = 44
=−d/4+49=44
=d=20

Answer is: d=20.

Hope it helps

In the number 6,779 which places contain digits where one digit is ten times as great as the other

Answers

The 7 in the hundredths is 10 times greater than the 7 in the tenths,

6,(7) is 10 tens greater than
6,7(7)9
the 7 in the hundreds place is 10 times greater

what digit is in the ten thousands place 9,435,678

Answers

easy the 3 is in the ten thousands place

what is the exact length of the diagonal of a 10 cm by 15 cm rectangle?

Answers

To solve this, use pythagorean theroem:

a^2 + b^2 = c^2

Since the diagonal is across from the right angle, it is represented as c.

10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
sqrt 325 = c

Converting to simplest radical form:
5 * sqrt 13 = c

Hope this helps!

Affonso has 14 fewer dimes than nickels. He has 21 dimes. Use the five-step problem-solving plan. How many nickels does Affonso have? Enter you answer in the box.

Answers

Affonso will have 7 nickels out of the 21 dimes   

Answer:

He has 7

Step-by-step explanation:

21-14=7

a farmer made a square chicken coop with a length of 6 and a half metres. determine the area of the chicken coop

Answers

Final answer:

The area of the chicken coop is 42.25 square meters

Explanation:

To determine the area of the chicken coop, we need to know the length of one side of the square. In this case, the length is given as 6 and a half meters. To find the area of a square, we square the length of one side. So, in this case, the area of the chicken coop is (6.5) * (6.5) = 42.25 square meters.

The process involves squaring the length of one side of the square to find the area. This fundamental formula is applicable not only to squares but also to rectangles, where the area is calculated as the product of the length and width. Understanding these basic geometric principles allows for accurate measurements and calculations in various real-world scenarios, such as determining the area of structures like the chicken coop in your example.

divide , round to the nearest tenth
336.752 divided by 31

Answers

it    is   originally 10.829677419 so rounding to the nearest tenth would be 10.9

Answer:

Round to the nearest tenth  336.752 divided by 31 is 10.9

Step-by-step explanation:

Consider the provided information.

336.752 divided by 31

This can be written as:

336.752 ÷ 31

Divide the number as shown:

[tex]\frac{336.752}{31}[/tex]

[tex]10.862968[/tex]

Now we need to round it to the nearest tenth.

According to the place value:

Tens   Ones   Decimal point   Tenths   Hundredths

 10         1                    .                0.1           0.01

According to place value tenths place is just after the decimal point so round the number to just after decimal point.

The rule of rounding a number is:

If 0, 1, 2, 3, or 4 follow the number, then no need to change the rounding digit.

If 5, 6, 7, 8, or 9 follow the number, round it up by one number.

Here, the number at the hundredths place is 6 so round it up.

Thus, the  round to the nearest tenth is 10.9

Which number sentences show how to solve the problem? Luis bought 5 bags of red balloons for the party. Ruby bought 8 bags of mixed-color balloons. Each bag contains 35 balloons. How many balloons did Luis and Ruby buy altogether? A. 8 + 35 = 43 and 5 + 35 = 40 and 43 + 40 = 83 balloons B. 5 + 8 = 13 and 13 + 35 = 48 ballons C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons D. 5 x 8 = 40 and 40 x 35 = 1400 balloons

Answers

C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons

Answer:

C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons

Step-by-step explanation:

C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons

Evaluate the expression. 92−14⋅12 Enter your answer as a number, like this: 42

Answers

-76 is the answer im pretty sure

A real world problem for the equation 0.75x - 18.50 = 0.65x

Answers

Diana had chocolate, and ate some, leaving 0.75 of it for Sarah. 

Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate. 

how much chocolate did Diana have at the beginning?

and the solution is: 

0.75x-18.50=0.65x 

0.75x-0.65x=18.50
0.1x=18.50
x=185

so Diana had 185 grams of chocolate. 

Hope this helped

Graph 0.6 on a vertical number line

Answers

next to 0. 7 on the number line

What is between 1/3 and 87/100 on a number line

Answers

1/3 = 0.333333   87/100 = 0.87
0.87..............................

Jayson spent $18 on a shirt then he spent $24 on a pair of pants what is the total amount he spent

Answers

18 + 24 = 42 jhgkgkhjgjkhgkjh
18 + 24 = 42 dollars is what he spent

what is the value of the expression -3/4 m + 15 when m equals 12?

Answers

-3/4(12)=-9+15=6 so the answer is 6
You would multiply m times -3/4 +15 =6

Sarah and four friends are decorating picture frames with ribbon.They have 4 rolls of ribbon to share evenly.How much ribbon does each person receive?

Answers

They all should receive 0.8 pieces of it
Because the question is asking Sarah AND her friends the number of people is 5. With the amt of ribbon (4 rolls) you should divide that by the number of people (5). The answer comes out to be 4/5 or .80 of a roll. Please mark brainiest. 

Can U give an example of an irrational number that is less than 2 and greater than 1.5. Explain how you know the number is irrational

Answers

1.5684345 because it cant be written as a decimal and you dont know how to continue it

12 minutes to drive 30 laps; 48 minutes to divre 120 laps

Answers

The ratio of this if ur looking for the ratio is 6:15

A mechanic repairs Mr. Estes car the amount for parts is $48 and the rate for the mechanic is $40 per hour. Write and solve an equation to find the total cost of repairs to Mr. Estes car if the mechanic works for 1.5 hours

Answers

y = 48 + 40h....where y is the total cost and h is the number of hrs worked

so if he worked 1.5 hrs....h = 1.5

y = 48 + 40(1.5)
y = 48 + 60
y = 108 <===

Final answer:

To calculate the total cost of repairs to Mr. Estes's car, add the fixed cost of parts ($48) to the labor cost ($40 per hour for 1.5 hours), resulting in a total cost of $108.

Explanation:

To find the total cost, we need to consider both the fixed cost (cost of parts) and the variable cost (mechanic's labor charged per hour).

The fixed cost for parts is $48, and the mechanic charges $40 per hour.

If the mechanic works for 1.5 hours, we can calculate the total cost using the equation:

Total Cost = Cost of Parts + (Hourly Rate × Hours Worked).

Substituting the given values into the equation, we get:

Total Cost = $48 + ($40 × 1.5)

= $48 + $60

= $108

Therefore, the total cost of repairs to Mr. Estes's car is $108.

Place each number in the correct location on the Venn diagram

Answers

hope this helps you with your work

The numbers placed in the Venn diagram are given below.

The given numbers are -5/9, -√100, π and √25.

What are real numbers?

Any number that can be found in the real world is a real number. We find numbers everywhere around us. Natural numbers are used for counting objects, rational numbers are used for representing fractions, irrational numbers are used for calculating the square root of a number, integers for measuring temperature, and so on.

Here, -5/9 is a rational number

-√100=-10 is an integer

π is an irrational number

√25=5 is the whole number

Hence, the numbers placed in the Venn diagram are given below.

To learn more about the real numbers visit:

https://brainly.com/question/10547079.

#SPJ2

(-1.15)x3.2=

Please explain how you got the answer step by step

Answers

-1.15 * 3.2.....when multiplying, when the signs are different, the result will be negative.

-3.68 would be ur answer

The multiplications between (-1.15) and  3.2 will be negative of 3.68.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to find the multiplications between (-1.15) and  3.2

We now that when multiplying, when the signs are different, the result will be negative.

(-1.15) x 3.2 = -3.68

Therefore, the multiplications between (-1.15) and  3.2 will be negative of 3.68.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

7.24 divided by 7 rounded to the nearest tenth

Answers

Final answer:

To divide 7.24 by 7 and round to the nearest tenth, you divide 7.24 by 7, which gives you approximately 1.034285714. The final answer, rounded to the nearest tenth, is 1.0.

Explanation:

To divide 7.24 by 7 and round to the nearest tenth, we divide 7.24 by 7, which gives us approximately 1.034285714. To round to the nearest tenth, we look at the digit in the hundredths place, which is 4. Since 4 is less than 5, we do not round up. Therefore, the final answer, rounded to the nearest tenth, is 1.0.

Final answer:

The division of 7.24 by 7 results in 1.0342857. Rounding this to the nearest tenth, considering the value in the hundredths place is less than 5, the final answer is 1.0.

Explanation:

The question of 7.24 divided by 7 rounded to the nearest tenth deals with basic division and rounding numbers. When you divide 7.24 by 7 using a calculator, you get 1.0342857. To round this to the nearest tenth, we look at the number directly after the tenths place, which is 3 (in the hundredths place). Since 3 is less than 5, we do not round up. Therefore, the answer is 1.0 when rounded to the nearest tenth.

Help please!!i don't understand interferes or rational numbers

Answers

Rational Numbers are basically any numbers you can think of, including square roots and that stuff.
Integers are numbers not with decimals or fractions, they can be negative or positive.
Whole numbers must be positive, and have no decimal points.

Solve: x − 2/3 = 6 1/3

Answers

The answer to this equation is x=21

How many meter of cloth is needed if Aling Luding to make 25 pillowcase if each pillowcase needs 95 cm long cloth?

Answers

23.75
this is because there would be 2375cm if you didn't convert it into meters
 

Aling Luding will need 23.75 meters of cloth to make 25 pillowcases, with each pillowcase requiring 95 cm of cloth. We convert the total centimeters to meters by dividing by 100.

To calculate the total amount of cloth Aling Luding needs to make 25 pillowcases, with each pillowcase requiring 95 cm of cloth, we need to perform a simple multiplication. We multiply the number of pillowcases by the length of cloth needed per pillowcase.

Therefore, the calculation will be:

25 pillowcases  imes 95 cm per pillowcase = 2375 cm.

However, we often measure fabric in meters, so we need to convert centimeters to meters. There are 100 cm in a meter, so:

2375 cm \/ 100 = 23.75 meters.

So, Aling Luding needs 23.75 meters of cloth in total to make 25 pillowcases.

a digital scale measures weight to the nearest 0.2 pound. which measurement shows an appropriate level of precison for the scale?

A. 130.4 pounds

B. 125 pounds

C.120 pounds

D. 124.75 pounds


Answers

I think it would be A. 130.4 if it is measuring to the nearest 0.2 pound

Answer:

130.4 pounds

Step-by-step explanation:

The digital scale is measuring weight to the nearest 0.2 pounds, so basically the digital scale would show you the weight of an object that is a multiple of 0.2.

Talking about precision, precision tells us how accurate is the measured value or how close is the measured value to the actual value.

Here, scale is measuring to the nearest 0.2 pounds, so out of the given values the measurement that shows an appropriate level of precision for the scale is 130.4 pounds.

what is that equation written in standard form

Answers

That would be 21378,6

since the exponent is 4, move the decimal place 4 places to the right

 so 2.13786 x 10^4 = 21378.6

What is 1,537x242?
You can get ten points by answering this plz help me.

Answers

371,954 is the answer
1,537 x242 =371,954

Round 43.786 to the nearest hundredth

Answers

43.786

Since 6 rounds up:

43.79

Hope this helps!
The hundereths at are on the right side 43.790 next to the ones place value. Witch is before the desimal

Martha bought 20 5⁄6 yards of fabric to make curtains. She only used 16 7⁄9 yards of the fabric. How much fabric remained?

Answers

4 1/18 im pretty sure because you have to find a common denominator to be able to subtract.
4 1/18 since

20 5/6 - 16 7/9 = 4 1/18

Which graph represents a positive linear association between x and y?

Graph A
Graph B
Graph C
Graph D

Answers

Graph A shows a positive linear association between x and y.

Answer:

Graph A  represents a psoitive linear

Step-by-step explanation:

Because A positive linear is a when the slope is increasing  in a positive direection

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