which sets of side lengths could form a triangle? Choose all that apply A. 3 centimeters,4 centimeters,9 centimeters B. 3 centimeters, 6 centimeters,9 centimeters C. 4 centimeters, 5 centimeters, 9 centimeters D. 4 centimeters, 6 centimeters, 9 centimeters E. 5 Centimeters, 5 centimeters, 9 centimeters

Answers

Answer 1

To solve this question we will have to make use of the triangle inequality which states that "the sum of the lengths of any two sides of a triangle must be greater than the length of the third side".

Let us now use this inequality to check Part A to Part E.

Part A: [tex] 3+4\ngtr9 [/tex] therefore, triangle is not possible

Part B: [tex] 3+6\ngtr9 [/tex] therefore, triangle is not possible

Part C: [tex] 4+5\ngtr9 [/tex] therefore, triangle is not possible

Part D: [tex] 4+6>9, 4+9>6, 6+9>4 [/tex] As all the three sides adhere to the triangle inequality, a triangle is possible with these dimensions.

Part E: [tex] 5+5>9, 5+9>5, 9+5>5 [/tex] As all the three sides adhere to the triangle inequality, a triangle is possible with these dimensions.

Thus, only Options D and E apply

Related Questions

A sphere with a radius of 3 cm has the same volume as a cone with a radius of 6 cm. What is the height of the cone? A) 2 cm B) 3 cm C) 4 cm D) 5 cm

Answers

To find the height of the cone, we need to use the volume formula for both the sphere and the cone and set them equal to each other.

To solve this problem, we need to use the formulas for the volumes of a sphere and a cone and set them equal to each other.

The volume ( V ) of a sphere with radius ( r ) is given by:

[tex]\[ V_{\text{sphere}} = \frac{4}{3} \pi r^3 \][/tex]

The volume ( V ) of a cone with radius ( r ) and height ( h ) is given by:

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]

Given that the sphere has a radius of ( 3 ) cm and the cone has a radius of ( 6 ) cm, and they have equal volumes, we can set up the equation:

[tex]\[ \frac{4}{3} \pi (3^3) = \frac{1}{3} \pi (6^2) h \][/tex]

Solving for ( h ):

[tex]\[ 36 \pi = 36 \pi h \]\[ h = 1 \][/tex]

Therefore, the height of the cone is ( 1 ) cm.

Since ( h ) is not one of the options provided, it seems there might be a mistake in the question or the options.

So, the height of the cone is 3 cm. Therefore, the answer is option B) 3 cm.

When Mr. Krumm purchased a tie he paid $9.27, which included the 3% sales tax. How many dollars did the tie cost before the tax was included?

Answers

If $9.27 includes the 3% tax, then
103% = 9.27

To find the price before tax, we need to find 100% of the price.

103% = 9.27
1% = 0.09
100% = 0.09 x 100 = $9

The price before tax is $9.

I hope this helps :)

the price would be $9

Can ratios have decimals in them or do all the numbers have to be integers? E.g. is 7.8:1.3:6.5 a valid ratio?

Answers

What you have is a valid ratio in theory, but it might be easier to understand if it were simplified to integers:

78:13:65

It also depends on what your teacher is asking of you.

Final answer:

Yes, ratios can include decimals. They can represent quantities in numerous contexts such as scale distances, dimensions, and proportions. The ratio 7.8:1.3:6.5 is, therefore, a valid expression.

Explanation:

Ratios can indeed include decimals in them; they do not need to be limited to integers. Ratios are a way to compare two or more quantities, which can be whole numbers, fractions, or decimals. Just as fractions, ratios express the relationship between parts of a whole or between two quantities in a specific order. For example, the ratio 7.8:1.3:6.5 is valid and represents the relative quantities of three different entities. In many contexts, such as in scale distances or dimensions, the use of decimal ratios is quite common. When dealing with scale factor to find actual dimensions, the ratio could also include decimals, as it compares the scale dimensions to actual dimensions of an object or distance. For example, on a map with a unit scale of 1 inch equals 100 feet, the ratio would be written as 1/100 or in decimal form, 0.01/1.

MATH HELP LEASE WILL GIVE BRAINLIEST!!!
Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle B?

Enter your answer in the box.

m∠B=
°

Answers

The answer is (22) hope it helps have a great day

PLEASE ANSWER ASAP
1. The length of a bookshelf is 5 ft. The length of a model of this bookshelf is 3 ft. Find the scale factor of the model to the bookshelf. Enter your answer in the box.

2. A rectangular garden has a length of 8 ft and a width of 4 ft. A smaller garden was made, using a scale factor of 34 . Find the dimensions of the smaller garden. Enter your answers in the boxes.

Answers

1. You can find the scale factor bookshelf by dividing the actual length with model length.
If you put it into an equation, it would look like this

actual length= model length * scale factor
5ft= 3ft * scale factor
scale factor = 5ft/3ft= 1.667 times

2. You can solve this problem with equation used above. Since the garden has 2 dimensions( length and width) you need to find it separately.

actual length= model length * scale factor
8ft= model length* scale 34
model length= 8ft/34 = 4/17ft = 0.23529 ft

actual width= model width* scale factor
4ft= model width* scale 34
model width= 4ft/34= 2/17ft =0.11764 ft

Answer:

3 / 5 = 0.6 so the scale factor is 0.6 the person below is incorrect, I have no idea why they are verified im from k12 and can verify that my answer is correct.

Please provide work with your answer pls, 20 point question

Answers

The number 350, would be side A.
The number 1000 would be side b

Tanx = 350/1000
x = 19
19 is your answer

The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes up ____% of the whole target

Answers

4%

To find the percentage, first find the area of both circles. The area formula is [tex] \pi r^{2} [/tex] . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up:

[tex] \frac{is}{of} = \frac{percent}{100} [/tex]

[tex] \frac{19.625}{490.625} = \frac{percent}{100} [/tex]

Cross multiplying and dividing by 490.625 will give a total of 4%.

what is the perimeter of 16cm 25cm

Answers

Im guessing this is a rectangle? If so it would be
16+16+25+25
32+50
82 is the perimeter

16 + 16 = 32 + 25 = 57 + 25 = 82. 82 is the perimeter.

Brainliest please? :)

Solve for x.
cx + ax = b

A) b/(c + a)

B) (-b)/(c + a)

C) b - c - a

D) b + c + a

Answers

The answer is A) b/(c+a)
Hope this helps

2.3, 3.2, 4.1, 5.0 what is the next who numbers in the problem

Answers

Final answer:

The next two numbers in the sequence 2.3, 3.2, 4.1, 5.0 following the observed pattern are 6.0 and 7.0.

Explanation:

The sequence given is 2.3, 3.2, 4.1, 5.0. To find the next numbers in the sequence, let's observe the pattern. It seems that with each subsequent number, the integer part increases by 1, and the decimal part decreases by 0.1, until it reaches 0. Following this pattern, the next number after 5.0 would have the integer part increased by 1 (making it 6) and the decimal part decreasing by 0.1 (which would be zero anyway since we are at 5.0).

So, the next number in the sequence would be 6.0. Continuing with the pattern, the number following that would be an integer part increased by 1 (7), with the decimal part decreasing by 0.1, which would simply remain 0, giving us 7.0 as the next number in the sequence.

Therefore, the next two numbers in the sequence are 6.0 and 7.0.

ANSWER ONLY IF YOU KNOW IT
LAME ANSWERS WILL BE REPORTED
WILL MARK BRAINLIEST

Suppose you want to buy a bike. The prices are $119, $139, $149, $179, $189, $199, and $209. You want the bike that costs $189. Should you use mean, median, or mode to convince your parents? Explain.

Answers

For mean:
119 + 139 + 149 + 179 + 189 + 199 + 209 = 1183
1183/7 (for the amount you added) = 169

For median:

119, 139, 149, 179, 189, 199, 209.
Find the middle number: 179 (is your median)

For mode:

119, 139, 149, 179, 189, 199, 209
Find the number that shows up the most: N/A (they all only show up once)

I believe Median will be your best choice (it has the closest answer to 189)

hope this helps

Hi!

The median would be your best bet at convincing your parents to get you a new bike for $189 because the median which is $179 is the closest value to the one you want.

-ASIAX ∵Frequent Answerer∴

P.S. Give Rohanfighter the brainliest his answer is better.

which answer choice shows an expression meaning a number plus 13? A)x-13 B)13x C)x+13 D)x÷13

Answers

Let the number be x

x plus 13 = x + 13

------------------------------------
Answer: x + 13 (Answer C)
------------------------------------

"number plus 13" = x + 13

Answer is C).

What is 1,000 less than 1,416

Answers

Negative 416.

Solved by subtracting 1,000 by 1,416

It’s negative 416. hope

Katie painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide shoes exactly 3 quarts of paint to cover the wall how many square feet will 1 quart of paint cover

Answers

I believe that the answer is 82.25 because 10.5 x 23.5 is 246.75 feet ^2, and since 3 quarts can cover 246.75 feet^2 all you would have to do is divide 246.75 by 3. When you do that the answer will be 82.25 feet.

what is 3yr 4mo-1yr 11mo

Answers

The answer is 1 yr 7mo

1 year= 12 months

CONVERT BOTH TO MONTHS
(3 yrs * 12 mos/yr) + 4 mos = 40 mos
(1yr * 12 mos/yr) + 11 mos = 23

SUBTRACT MONTHS
40 mos - 23 mos= 17 mos

DIVIDE TO FIND # YEARS/MONTHS
17 mos ÷ 12 mos/yr= 1 year 5 months

ANSWER: 1 year 5 months

Hope this helps! :)

Solve for x.

12(x−360)=120

Enter your answer in the box.

Answers

12x-4320=120
12x=120+4320
12x=4440
x=370

12(x - 360) = 120
12x - 4320 = 120
12x = 4440
x = 370

Explain how you can compare the size of a product to the size of a factor when multiplying fractions without actually doing multiplication including model

Answers

Answer: If you multiply a number by a fraction less than 1, the resulting product will be smaller than the original fraction.

Imagine, if you had half a pizza and you ate one-half of that. You would multiply 1/2 by 1/2 and get an even smaller number. The result would be 1/4.

On the other hand, if you multiply a number by a mixed number that is larger than one, the result would be larger than when you started.

The Comparison size of product and factors is shown below.

What are factors?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly.

A fraction less than one will result in a smaller product than the initial fraction when multiplied by a number.

Imagine that you only ate half of the pizza you ordered.

You would get a smaller value if you multiplied 1/2 by 1/2. It would come out to 1/4.

On the other hand, the outcome would be more than the starting value if you multiplied a number by a mixed number that is greater than one.

Learn more about factors here:

https://brainly.com/question/24182713

#SPJ5

the function f(x) varies inversely with x and f(x) = 0.9 when x = 0.5 what is f(x) when x = 1.5 ?

a. 0.02
b. 0.03
c. 0.3
d.0.75

PLEASE HELP ME I WILL MARK BRAINLIEST!!!!!!!!!!!!!

Answers

When x = 0.5, the answer is 0.45
When x = 1.5, the answer is 1.35

You're welcome :)

Answer:

the answer is 0.3

Step-by-step explanation:

Which shows another way to write 11/2 A. 11 × 2 B. 11 + 2 C. 11 × 11

Answers

Another way to write 11/2 is 11 / 2, which is NOT a choice.

11/2=5.5 OR 5 1/2.

A. 11*2=22
B. 11+2=13
C. 11*11=121

Hope this helped☺☺

Answer is C. 11x11 = 121

Write this number in standard form.

one and four tenths

Answers

7/5 is the answer, glad I could help

[tex]1.4 \: or \: 1 \frac{4}{10} [/tex]

Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.

Answers

To find this answer you will use the formula for finding the area of the triangle because that shape is a triangle.

A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm

We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.

The length of the base edge is 33 cm. You should substitute this back in to check.

1/2 x 33 x 12 = 198 square cm.

Answer:

The Answer is: 11 cm

Andrew plays football.On one play,he ran the ball 24 1/3 yards.The following play,he was tackled and lost 3 2/3 yards.The next play,he ran for 5 1/4 yards.Estimate how much farther the ball is down the field after these three plays.Round each mixed numbers to the nearest whole number

Answers

give me a second to recheck my work

Answer: Yes, the team made the third yard goal.

Step-by-step explanation:

I‘m not explaining it to you kid so just copy it from the picture.

I would have explained it to ya but the page refreshed when I took the picture in the camera app and cropped it. It’s the one with the circle around the number of the question and if you can’t figure that out, your just plain stupd

the circumfrence of a circle is 11 pie inches. what is he the area, in square inches, of the circle? Express your answer in terms of PIE

Answers

Please: use "pi," this mathematical quantity is not written as "PIE."

Since C=2pi*r, and C=11 inches, r=(11 inches)/(2pi), or
r^2 = (121 sq in)/(2pi)

Then the area of this circle is A = pi*r^2, or pi*(121 sq in)/(4pi^2). Reduce this and you will then have the area correct. Its units of measurement are (inches)^2.

what is the wquation of a circle with center (-2.3) and radius 4

Answers

The equation of any circle is

(x - a)^2 + (y - b)^2 = radius^2 where our center is (a, b)

Therefore, our equation is as follows.

(x + 2)^2 + (y - 3)^2 = 16

A storage room measures 48 inches by 60 inches.what is the total area in square feet of the closet?

Answers

2880 square feet squared

The answer is 240ft because 48 * 60 = 2880
2880 / 12 = 240

find the area of a triangle with 4 yd and 8 yd

Answers

The answer would be 16 sq yds!

The formula for finding the area of a triangle is:

a = [tex] \frac{1}{2} [/tex] lh
Where l is the length of the triangle and h is the height.

So the formula would be a = [tex] \frac{1}{2} [/tex] 4*8 which equals 16!

24 hope this helps
Well you have to add
+8 which makes 12 so add 12 and you get 24

How many gallons of an herbicide are needed for 310 acres of corn if 1.4 liters per acre are applied?

Answers

the answer is 434

because 310 multiply by 1.4 = 434

There are 80 members of the show choir. For a fund raiser 95% of the members raised money, how many members did NOT raise money. PLEASE HELP PLEASE

Answers

To find out how many did not raise money, we need to find the percentage that did not raise money and multiply that by the total number of members.

If 95% raised money, 5% did not raise money.

0.05 x 80 = 4 members did not raise money

A rectangular piece of poster board measurea 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left....

Plz help me....
thank you

Answers

To find the answer for that question you have to find the area of rectangle first, so you say 60*80 which equals to 4800 cm squared and then find the area of the box and not its volume so you say: 2(16*10)=2*160=320 cm squared
4(16*27)=4*432=1728 cm squared
add 320+1728= 2048 cm squared
Finally, to find the area of the left poster board you have to subtract the area of the rectangle which is 4800 cm squared by the area of the box which is 2048 cm squared so 4800-2048=2752 cm squared

What does 60 inches equal

Answers

30 inches it equals I hope this is right because I don't know a lot about inches

#4: 60 inches is 5 feet.

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