What is the range of possible sizes for side xxx? < x <

Answers

Answer 1

According to the theory of the Triangle Inequality, so, the total of the 2 sides of the triangle must be larger than the length of the third side. Therefore, the possible length of a triangle is given by the difference of two sides x the sum of two sides.

Therefore,

[tex]\to 4.3-2.1< x <4.3+2.1 \\\\\to 2.2< x <6.4 \\\\[/tex]

So, the final answer is "[tex]2.2<x<6.4[/tex]" which is the possible length of x.

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What Is The Range Of Possible Sizes For Side Xxx? &lt; X &lt;
Answer 2
Final answer:

The range of possible sizes for side 'x' is from 1.5 to 4.5, inclusive of both endpoints.

Explanation:

The question "What is the range of possible sizes for side xxx?" refers to finding the possible values that the variable 'x' can take. From the information provided, we understand that 'x' can be any number in the inclusive range from 1.5 to 4.5, which can be denoted mathematically as 1.5 ≤ x ≤ 4.5. This means that the smallest value 'x' can be is 1.5, and the largest value is 4.5. The range of possible sizes for 'x' is therefore between 1.5 and 4.5, including both of these endpoints.


Related Questions

In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).

Answers

Answer:

The percentage of error in the question is 75%.

Step-by-step explanation:

To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.

He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.

If we make the calculation (14 - 8) / 8 = 6 / 8.And then multiply the result by 100 to find the percentage, (6 / 8) x 100 = 75.

So the percentage of error in the question is 75%.

I hope this answer helps.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a
sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a
brown, then black sock?
1/36
1/18
V
2/33

Answers

Answer:

D

Step-by-step explanation:

[tex]\frac{1}{18}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].

Number of white socks [tex]=6[/tex]

Number of black socks [tex]=4[/tex]

Number of brown socks [tex]=2[/tex]

A brown sock is picked and replaced  then a black sock is picked.

Probability that a brown sock is picked and replaced  then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]

           [tex]=\frac{1}{3}\times \frac{1}{6}[/tex]

           [tex]=\boldsymbol{\frac{1}{18}}[/tex]

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Triangle FGH wasdilated using a scale factor of 1/2 to create triangle PQR
which statement is true?

Answers

Answer:

D. Side FG is two times the length of side PQ.

Step-by-step explanation:

Because FGH was dilated by a scale factor of 1/2 to create PQR, that means that every side of FGH is two times the side lengths of PQR.

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Answers

Answer:

[tex]k=5[/tex]

Step-by-step explanation:

[tex]18 + 8k = 58\\\\\text {Subtract 18 from both sides.}\\\rightarrow 18-18+8k=58-18\\\boxed {8k=40}\\\\\text {Divide by 8 on both sides.}\\8k/8 = 40/8\\\boxed {k=5}[/tex]

Brainliest Appreciated!

yoko is driving her motorhome it uses 4 gallons of gas for every 24 miles she travels

Answers

Answer:

2nd box: 6

3rd box for the miles: 42

4th box: 9

5th box for the miles: 60

Step-by-step explanation:

just multiply the number of gallons by six to get the number of miles and divide the number of miles by 6 to get the number of gallons. Hope this helped!

The complete table is

number of galloons   4   6   7   9

Distance                    24 36 42 54

What is proportionality?

Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.

The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.

Direct Variation: The equation for direct proportionality is y = kx,  which shows as x increases, y also increases at the same rate. Example: The cost per item(y) is directly proportional to the number of items(x) purchased, expressed as y ∝ xInverse Variation: The equation for the indirect proportionality is y = k/x, which shows that as y increases, x decreases and vice-versa. Example: The speed of a moving vehicle (y) inversely varies as the time taken (x) to cover a certain distance, expressed as y ∝ 1/x

Given:

number of galloons   4   x   7   z

Distance                    24  36 y  54

Now, taking first

=4/24

=1/6

Now, using proportionality

1/6 = x/36

6x = 36

x= 6

By continuing this way

y= 7 x 6

y= 42

z= 54/6

z= 9

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Factor 10h+30+50j to identify the equivalent expressions. Choose 2 answers

Answers

Answer:

[tex]10\left(h+3+5j\right)[/tex]

Step-by-step explanation:

[tex]10h+30+50j\\10h+3\cdot \:10+5\cdot \:10j\\10\left(h+3+5j\right)[/tex]

Answer:

10(h+3+5j) and 2(5h+15+25j

Step-by-step explanation:

To factor means to rewrite an expression as a product. Let's try dividing the expression then we find if its equivalent or not and there is the answer ;)

mark brainliest

What is the slope of the line?

Answers

Answer:

-3/2

Step-by-step explanation:

That is the answer on Khan.

The slope of the graph passes through the points (0, 2) and (2, - 1) is, - 3/2

Used the concept of the slope of the line which states that,

The slope of a line passing through the points (x₁ , y₁) and (x₂, y₂) is,  

[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Given that,

The graph of a line is shown.

Let two points on the graph be (0, 2) and (2, - 1).

Hence, the slope of the line is,

[tex]m = \dfrac{(-1 - 2)}{(2 - 0)}[/tex]

[tex]m = \dfrac{- 3}{2}[/tex]

So, the slope of the graph is - 3/2.

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What step comes first to solve 18/2 - 5 + 7 - 12

Answers

Answer:

You would do 18/2 first.

Step-by-step explanation:

In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.

Use the Law of Sines and/or the Law of Cosines to solve each triangle. Round to the Nearest tenth when necessary

(Unit 8: Right Triangles & Trigonometry, Homework 9: Law of Sines & Cosines: + Applications)​

Answers

Answer:

∠TSR= 48°

∠RTS = 107°  

∠TRS = 25°

Step-by-step explanation:

As we know in any triangles,

a, b and c are sidesC is the angle opposite side c

We can apply The Law of Cosines , which is:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]  − 2ab cos(C)

In this situation we have:

RT = a = 11TS = b = 6SR = c = 14

Apply The Law of Cosines to find the angle of TRS

<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]

<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14

<=> cos(TRS ) = 0.91

<=> ∠TRS  = 25°

Apply The Law of Cosines to find the angle of RTS

<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]

<=> cos(RTS) =  ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6

<=> cos(RTS) = -0.29

<=> ∠RTS = = 107°  

So we can find the measure of angle TSR

∠TSR= 180° - 107°  - 25°

∠TSR= 48°

Using cosine law or sin law the angles of the triangle is as follows:

∠T = 107.2°

∠S = 48.6°

∠R = 24.2°

Using cosine rule,

Cosine rulet² = r² + s² - 2rs cos T

Therefore,

14² = 6² + 11²- 2 × 6 × 11 cos T

196 - 36 - 121 = -132 cos T

cost T = 39 / - 132

T = cos⁻¹ -0.29545454545

T = 107.184793175

T = 107.2°

Sine rule

Therefore, let's find angle S using sine law

s / sin S = t / sin T

11  / sin S = 14 / sin 107.2

11 sin 107.2 = 14 sin S

sin S = 10.5080619833 / 14

S = sin ⁻¹ 0.75057585595

S = 48.6397771973

S = 48.6°

R = 18 0 - 48.6 - 107.2 = 24.2

R = 24.2°

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The probability of rolling a multiple of 3 on a standard number cube is 1/3.
Is that true or false?

Answers

Answer:

its true

Step-by-step explanation:

3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3

please help!!!

find the median, first quartile, third quartile, and interquartile range of the data.

12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73

Answers

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Which two expressions can be used to answer this question? 45% of the 647 students at Royal Oak High attended the football game. How many students did not attend?

Answers

Answer:

356

Step-by-step explanation:

.55*647=356

i think 356 might be the answer

how do i do this? the interquartile range? please help!

Answers

Answer:

20

Step-by-step explanation:

A number k is greater than 3

Answers

Answer:

k>3.

Step-by-step explanation:

Hello there!

Just graph this on a number line, and you will see that any number above 3 can be equal to k.

:)

Jasmine is sliding down a 40-foot water park slide. The equation h = 40 − 2.5t gives her height, h, above the bottom of the slide t seconds after shoving off. How high above the bottom of the slide will Jasmine be after 8 seconds?

Answers

20 feet
We know the time is 8 seconds so since it’s 2.5t and t is 8 do 8x2.5 and you will get 20 so now we now 2.5t is 20 but they want the height and so you plug it into the equation h=40-20 and so h is 20

what is the answer i am confused pls help

Answers

Hopefully this could help you G=5

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Answers

Answer:

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

What is 3y^2 - 15y equal?

Answers

Answer:

3y(y−5)

Step-by-step explanation:

I factored the expression

mark me brainliest please

Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yields the greater return over 10 years: Account 1: 6.5% compounded semiannually? Account 2: 6% compounded continuously? The account with the better investment is Account which yields dollars more after 10 years.

Answers

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

First, change 6.5% into a decimal:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Now, plug in the values for Account 1:

[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]

[tex]A=5,687.51[/tex]

Now solve for Account 2:

Change 6% into a decimal:

6% -> [tex]\frac{6}{100}[/tex] -> 0.06

Now plug in the values:

[tex]A=3,000e^{0.06(10)}[/tex]

[tex]A=5,466.36[/tex]

Account 1 yields better money after 10 years.

someone please solve this for me!

Answers

Answer:

  x = 149

Step-by-step explanation:

The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.

Corresponding angles in this geometry have identical measures:

  x° = 149°

  x = 149

HELP WILL GIVE BRAIN LIST PLZZ HELP ME ASAP!!

What is the volume of the figure above if a = 5 units and b = 8 units?
A.
215 cubic units
B.
825 cubic units
C.
200 cubic units
D.
325 cubic units

Answers

Answer:

D. 325 cubic units

Step-by-step explanation:

Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.

Solving for the cube:

5*5*5=

25*5=

125 units³

Solving for the rectangular prism:

5*5*8=

25*8=

200 units³

Now to find the total volume of the figure, we need to add those 2 volumes together:

200+125=325 units³

Our answer is D. 325 cubic units.

Hi, I need help.

If 4r+7s=23 and r−2s=17 then 3r+3s=

(A) 8 (B) 24 (C) 32 (D) 40 (E) 16

Answers

Answer:

B, 24 (second answer choice)

Step-by-step explanation:

4r+7s=23

r-2s=17

8r+14s=46

7r-14s=119

15r=165

r=11

11-2s=17..........by putting value of r in ii

-2s=17-11

2s= -6

s= -3

3r+3s=3*11+3(-3) you get this by putting values of r and s

       =33-9

       =24    (B)

Answer:  B) 24

============================================================

Explanation:

Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s

Do the same for the right hand sides of the two equations 23+17 = 40

After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40

Next, divide both sides by 5 to lead to r+s = 8

Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24

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

An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...

4(2s+17)+7s = 23

8s+68+7s = 23

15s+68 = 23

15s = 23-68

15s = -45

s = -45/15

s = -3

Which means,

r = 2s+17

r = 2(-3)+17

r = 11

and therefore,

3r+3s = 3(-3)+3(11) = -9+33 = 24

You want to know how many students in your school are going to the volleyball game. You survey 50 students. Ten are going to the game. The rest are not going to the game.
A. Identify the population.
B. Identify the sample.

Answers

The population is all the students in the school.

The sample is the 50 students that were asked if they were going to the game.

Since i do not know the amount of people in the school I will tell you another thing.

Every 50 students that are surveyed 10 are going to the game and 40 are not so 10/50 are going to the game or 1 in 5 students will go to the game (1/5)

So take the amount of people in the school and do this -

Say there are 200 that would be 40 people going to the game because

200 / 50 = 4 that would be 4 surveys (that would be 10 people from each survey going to the game) So, 4 x 10 (10 from each survey) Would be 40 people so use this to find you're answer I hope it helps you.

Start by dividing the total people in the school by 50 and for whatever number you get multiply it by 10.

8y - 1-/2 ( 4y - 16)

Answers

Answer:

2.(3y+4)

Step-by-step explanation:

1/2

8y-1/2.(4y -16))

3.1

4y-16=4.(y-4)

5.1 6y +8 =2•(3y+4)

final answer 2•(3y+4)

Harold wants to put decorative tape around the side of a cube box with a volume of V.which expression gives the length of the tape

Answers

Answer:

Length of the tape = Length of the side of the Cube = ³√ V

Step-by-step explanation:

The Volume of a cube box = s³

Where s = length of the side of a cube.

The units of a cube is given as cubic units.

From the question, we were told, a decorative tape was placed at the side of the cube.

Since the volume of a cube is designated as V,

The length of the tape is equivalent to the side of a cube.

Therefore, Since V = s³

Length of the tape = Length of the side of the cube is derived as :

V = s³

Find the cubic root of both side

³√ V = ³√ s³

s = ³√V

Therefore the Length of the tape = Cubic root of the Volume of the cube and it is expressed mathematically as :

s = ³√V

Answer:

4[tex]\sqrt[3]{V}[/tex]

Step-by-step explanation:

This is the correct answer off imagine math

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.

Answers

Answer:

B. 68 feet

Step-by-step explanation:

So you realize that 30 + 30 + w + w = P. We likewise realize the territory is 240 square feet. Gap 240 by 30 to discover the width of the territory. 240/30 = 8. w = 8. So include 30 + 30 + 8 + 8 to find that P = 76. Notwithstanding, recall that George is utilizing some portion of his home as a divider rather than a fence. So take away 8 from 76 to get 68 ft. George will require 68 ft. of fencing for his dog run.

Answer: (B) 68.

Have a great day!

I NEED THIS SO BAD SO I WILL GIVE CROWN FOR ANSWER

Bela runs a 6.2 mile race and a 26.22 mile race during the year.

How many total miles did she run in both races?

Enter your answer in the box.

Answers

Answer:

32.42  miles

Step-by-step explanation:

you could have just added

Answer:

32.42 miles

hope this helped

If you help me god bless you and your a legend

Answers

Answer:

C. 14xy - 6y²

Step-by-step explanation:

The distributive property will essentially result in the sum of the product of the "outside term" with each of the "inside terms".

Here, the "outside term" is 2y and the "inside terms" are 7x and -3y. So:

2y(7x - 3y) = 2y * 7x + 2y * (-3y) = 14xy - 6y²

The answer is C.

2. The temperature of the ocean at Huntington Beach can vary up to 8.6°F from the
average temperature of 75°F. Write and solve an absolute value equation to find the temperature extremes of the ocean.
temperature extremes of the ocean.

Answers

Let x represent temperature of the ocean.

We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the  average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.

We will use tolerance formula to solve our given problems.

[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]|x-75|\leq 8.6[/tex]

Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].

Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:

[tex]-8.6\leq x-75\leq 8.6[/tex]

[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]

[tex]66.4\leq x\leq 83.6[/tex]

Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].

write 27/5 as a mixed number

Answers

Answer:

[tex]5\frac{2}{5}[/tex]

Step-by-step explanation:

brainliest?

Answer:

2/5

Step-by-step explanation:

formula =numerator (top number) divided by denominator (bottom number), remainder over denominater. = 27 divided by 5 ( = 5 ) and 2 over 5. hope this answers your question :)

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