Two sides of a triangle measure 10 cm and 18 cm. Which could be the measure of the third side of the triangle?
6 cm
8 cm
12 cm
30 cm

Answers

Answer 1

Answer:

12cm is the answer as the two lowest sides must be more in size than its longest side. 10+12=22

Step-by-step explanation:

Answer 2

Final answer:

The possible length of the third side of a triangle with two sides measuring 10 cm and 18 cm, according to the Triangle Inequality Theorem, must be more than 8 cm and less than 28 cm. Therefore, the valid measures among the given options are 8 cm and 12 cm.

Explanation:

The question concerns determining the possible length of the third side of a triangle when the lengths of the other two sides are given. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using this theorem, if we have sides measuring 10 cm and 18 cm, the possible lengths of the third side could be more than the difference of the two given sides and less than their sum. Therefore, the third side must be greater than 8 cm and less than 28 cm.

Among the given options, 6 cm is not a possible length because it is less than 8 cm and would not satisfy the Triangle Inequality Theorem. Similarly, 30 cm is not a possible length because it exceeds the sum of the two given sides. However, both 12 cm and 8 cm are possible lengths for the third side since both values are within the allowable range.


Related Questions

I need help with finding slope if anyone knows how because I don’t. Well, first I wanna know if my answer is correct. Pleasee

Answers

Answer:

the second option 2/5 and (3, -2)

Step-by-step explanation:

first for the slope you do rise over run. Meaning you find a point on the graph intersects "cleanly" as in (-2,-4) then find another point on the graph where the line intersects (3,-2). to find the slope you do the change in Y over the Change in X so what that means is that tou would take one Y value and subtract it from the otherY value (from the two points you just found) so in this example (-4)-(-2) which equals -2. then you do the same process for the X values (make sure to start with the same point) so (-2)-(3) which equals -5. then you divide (or leave as a fraction in this case) -2/-5 which simplifies to 2/5. so The slope is 2/5.

This is an angle having a measure greater than 90° and up to 180°.

Answers

Answer:

obtuse

Step-by-step explanation:

Answer:

Obtuse Angle

Step-by-step explanation:

Obtuse Angle:

An obtuse angle is greater than 90 and less than 180, therefore it's a obtuse angle.

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Amy received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.64 per pound. After buying
the coffee, she had $55.44 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

4 pounds

Step-by-step explanation:

8.64(4) is 34.56+55.44=90

Answer:

Amy bought 4 pounds of coffee.

Step-by-step explanation:

To begin, subtract what she has left, $55.44, from what she began with with, $90. That equation looks like: 90 - 55.44 = 34.56

Now divide $34.56 by the cost of each pound of coffee, $8.64. That equation looks like: 34.56 ÷ 8.64 = 4

So your answer is 4. Amy bought 4 pounds of coffee.

Write!!! and solve an equation to solve.For signing up for the rewards program at the pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need in order to get a free one?

Answers

answer: 20
Explanation: The equation is 175 - 15 (160) and then divide it by 8 (20)

Answer:

20

Step-by-step explanation:

What is the perimeter and area of the shape given?

Answers

The perimeter of the given shape is 63.50 units and its area is 170.625 square units.

Step-by-step explanation:

Step 1:

First, we need to determine the distance between each of the points in the shape ABCDEFGH.

There are vertical lines and horizontal lines. The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

Step 2:

Distance of line AB, 15 - 4.5 = 10.5,

Distance of line BC, 14 - 8 = 6,

Distance of line CD, 15 - 10 = 5,

Distance of line DE, 8 - 3 = 5,

Distance of line EF, 15 - 10 = 5,

Distance of line FG, 3 - (-2.25) = 5.25,

Distance of line GH, 15 - 4.5 = 10.5 and

Distance of line AH, 14 - (-2.25) = 16.25.

Step 3;

The area of ABCDEFGH = The area of ABGH - the area of CDEF.

The area of ABGH = Length × Width = AH × AB = 16.25 × 10.5 = 170.625 square units.

The area of CDEF = Length × Width = CD × DE = 5 × 5 = 25 square units.

The area of ABCDEFGH = 170.625 - 25 = 145.625 square units.

Step 4:

The perimeter of shape ABCDEFGH is just the sum of all its lines.

Perimeter of ABCDEFGH = 10.5 + 6 + 5 + 5 + 5 + 5.25 + 10.5 + 16.25 = 63.50 units.

-102.75 divided by -3

Answers

Answer:

34.25

Step-by-step explanation:

Answer:

34.25

Step-by-step explanation:

Divided -102.75 by -3

Which expressions are equivalent to 7⋅7⋅7⋅7⋅7⋅7
SELECT 2 Answers
It's FROM KHAN academy

Answers

Answer:

Step-by-step explanation:

One equivalent expression is 7^6:  7 is used as a multiplicand 7 times.

Another equivalent expression would be (7^2)(7^5).  Note that 2 and 5 add up to 7.

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{7\times7\times7\times7\times7\times7= \ ?}\\\mathsf{49\times49\times49= \ \ ?}\\\mathsf{2,401\times49= 11,649}\\\\\\\\\boxed{\boxed{\mathsf{Answer\ \#1: 11,649}}}\checkmark[/tex]

[tex]\mathsf{Since\, we\ have\ SIX\ 7\, \we \ can\ have\ 7\ raised\ to\ the\ 6^{th}\ power}[/tex][tex]\mathsf{.\ Because, they all equal to\ 7\times7\times7\times7\times7\times7}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer\#2: 7^6}}}[/tex]

[tex]\mathsf{Thus\ your\ answers\ are\downarrow}\\\\\bullet\ \boxed{\mathsf{Answer \ \#1: 11,649}}]\checkmark\\\\\bullet\ \boxed{\mathsf{Answer\ \#2: 7^6}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Simplify the expression where possible.
(t^9)^-8

Answers

[tex]( {t}^{9} ) {}^{ - 8} \\ = t {}^{9 \times ( - 8)} \\ = {t}^{ - 72} [/tex]

Final answer:

The expression simplifies to [tex]1/t^72[/tex] by using exponent rules to multiply the exponents and then applying the rule for negative exponents.

Explanation:

To simplify the expression [tex](t^9)^-8[/tex] , you need to use the exponent rules.

Specifically, when you have a power raised to another power, you multiply the exponents.

Here, you have the base t raised to the 9th power, and then that result is raised to the -8th power.

The rule is: [tex](a^m)^n = a^(m*n).[/tex]

Applying this rule here gives us:

[tex]= (t^9)^-8[/tex]

[tex]= t^(9*-8)[/tex]

[tex]= t^-72.[/tex]

Since we are dealing with a negative exponent, the rule for negative exponents says that [tex]a^-n = 1/a^n.[/tex]

Therefore, our final simplified expression is [tex]1/t^72.[/tex]

Choose the expression that represents a cubic expression.
−7x + 14
7x2 − 5x + 6
8x3 − 7x2 − 6x + 5
9x4 + 8x3 − 6x2 − 2x + 11

Answers

Answer: 8x³ - 7x² - 6x + 5

Step-by-step explanation:

8x³ - 7x² - 6x + 5 is a cubic expression.

The variable is x

The variable x has highest power as 3.

8x³ - 7x² - 6x + 5 is a polynomial.

-7x + 4 is a linear expression because highest power of the variable x is 1.

7x² - 5x + 6 is a quadratic expression because the highest power of the variable x is 2.

9x^4 + 8x^3 - 6x^2 - 2x + 11 is a polynomial with the highest power of the variable being 4.

The expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it contains the highest power of x raised to 3, making it a cubic polynomial.

A cubic expression is a type of polynomial with the highest degree term being raised to the power of 3. In mathematical terms, it is represented as f(x) = ax^3 + bx^2 + cx + d, where 'a' is the coefficient of the cubic term, 'b' is the coefficient of the quadratic term, 'c' is the coefficient of the linear term, and 'd' is the constant term.

Among the options provided:

- −7x + 14 is a linear expression as it contains only a single degree term (degree 1).

- 7x² − 5x + 6 is a quadratic expression as it contains a term with x^2 (degree 2).

- 8x³ − 7x² − 6x + 5 is indeed a cubic expression as it contains a term with x^3 (degree 3).

- 9x⁴ + 8x³ − 6x² − 2x + 11 is a quartic expression with the highest power of x being 4 (degree 4).

Therefore, the expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it has the highest power of x equal to 3. Cubic expressions often appear in various mathematical and scientific contexts, including physics, engineering, and economics, and are characterized by their distinctive "S"-shaped curves on graphs.

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(4x10^2) - (2x10^-1)

Answers

Answer:

Step-by-step explanation:

The LCD here is 10.

Multiplying numerator and denominator of (4*10^2) by 10 results in:

40*10^3

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

     10

and rewriting (2x10^-1) with positive exponent in the denominator results in:

   2

---------

    10

So, before simplification, this difference comes out to be:

40000 - 2        39998            19999

----------------- = ---------------- or ------------

        10                   10                   5

Lee saves $85.75. She uses $32.95 of the money to buy a baseball glove. She also wants to buy a camera that costs $58.99. How much more money does Lee need?

Answers

Answer:

6. 19

Step-by-step explanation:

Answer:

6.19

Step-by-step explanation:

85.75-32.95=52.8

58.99-52.8=6.19

1. A person owns a collection of 30 CDs, of which 5 are country music. If 2 CDs are selected at
random, find the probability that both are country music.

Answers

Answer:

Step-by-step explanation:

Sunflower can u please come answer my question next it says

HELP ASAP WILL GIVE BRAINLIEST PLEASE IM DESPERATE!!!!!!!

The probability that both are country music is 2/87.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that,

Number of CDs = 30

Number of country music CDs = 5

Now , at first when 1st CD is selected

Probability (1st), P(1st) = 5/30 = 1/6

After selecting 1st CD,

Total CDs left will be 29

Number of country music CD= 4

So, for 2nd CD selection,

Probability (2nd), P(2nd) = 4/291

Hence the required probability,

P(1st∩2nd) = P(1st) x P(2nd)

                  = 1/6 x 4/29

                  = 2/87

Hence,the probability that both are country music is 2/87.

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felicia bought a watch for $149 she puts $50 down if she pays $9 each week how long will it take felicia to pay off her watch?

i need help

Answers

Answer:

11 weeks

Step-by-step explanation:

She bought the watch for $149

And paid $50 immediately.

She has $149-$50 left, which gives $99

If she pays $9 each week,

In two weeks, she would be paid $9+$9=$18

In three weeks $9+$9+$9=$27 then it will take her 99/9 weeks to pay off the watch

99/9

It will take her $11 to pay off the watch

At a fruit stand, for every 5 apples sold there are 4 oranges sold what is the ratio of oranges sold to apples sold

Answers

Answer:  4:5

Step-by-step explanation:

oranges=4

apples=5

4 oranges to 5 apples

Answer:

5 apples to 4 oranges

Step-by-step explanation:

ratios are easy

1. Find the inverse functions of the following
a. f (x) = 5x +3

Answers

Answer:

y = 5x + 3

x = 5y + 3

5y + 3 = x

5y = x - 3

y = x/5 - 3/5

f^-1(x) = x/5 - 3/5

Step-by-step explanation:

1. Spent nuclear fuel is
reactive.
O slightly
O highly

Answers

Answer: B) highly

Step-by-step explanation:

Answer: B. highly

Step-by-step explanation:

Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Mohamed said the formula is g(n) = -5.5", and
Li Jing said the formula is g(n) = -5.50 -1.
Which one of them is right?

Answers

Answer:

Li Jing's formula i.e.  [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex]  is right.

Step-by-step explanation:

Considering the sequence

[tex]-5,\:-25,\:-125,\:-625,...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]g_n=g_0\cdot r^{n-1}[/tex]

[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}[/tex]

[tex]\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5[/tex]

[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]

[tex]r=5[/tex]

So, the sequence is geometric.

as

[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]

[tex]g_1=-5[/tex]

[tex]r=5[/tex]

so

[tex]g_n=g_1\cdot r^{n-1}[/tex]

[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]

[tex]g_n=-5\cdot \:5^{n-1}[/tex]

Therefore, Li Jing's formula i.e.  [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex]  is right.

Emily can spend no more than $40.00 on a raincoat. Sales tax is 8.25% of the marked price. Can Emily afford a raincoat priced at $37.95? Complete and solve the inequality to support your answer. If necessary, round intermediate calculations to 4 decimal places.

Answers

Answer:

no she can not.

Step-by-step explanation:

$37.95 x .0825% = 3.13

$37.95 + $3.13 = $41.08

She will go over her budget

For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).

Answers

(f + g)(x) is x² + 4x - 4

Step-by-step explanation:

Step 1:

Given f(x) = 4x + 1, g(x) = x² - 5. Find (f+g)(x)

(f + g)(x) = f(x) + g(x) = 4x + 1 + x² - 5 = x² + 4x - 4

Solve for t.
2t? + 11t + 15 = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If
there are multiple solutions, separate them with commas.

Answers

Answer:1/2

Simplified

Step-by-step explanation:

Greatest Common Divisor (GCD) =2

Divide by GCD =

2 ÷ 2

4 ÷ 2

Greatest Common Divisor (GCD) =2

Divide by GCD =

2 ÷ 2

4 ÷ 2

Simplified =

1/2

Two hundred sixty-three trillion seventy-two billion one hundred tree million eleven thousand five hundred eighty-nino numbers

Answers

Answer:

263000000000000 72000000000 103000000 11000 89

Step-by-step explanation: hope this helps its converted to a number!

please mark brianliest!

HELP NEED HELP ASAP! Find the zeros or roots for the quadratic expression 2x^2-8x-10 must show all work

Answers

Answer:

5 and - 1

Step-by-step explanation:

2x^2-8x-10=0

a=2,b=-8,c=-10

x1=(-b+sqrt(b^2-4ac))/2a

x1 =(-(-8)+sqrt ((-8)^2-4*2*(-10))/2*2

x1=(8+sqrt (64+80))/4

x1 =(8+sqrt (144))/4

x1=(8+12)/4

x1=20/4

x1 =5

x2=(-b-sqrt(b ^2-4ac)) /2 *a

x2=(8-12)/4

x2=-4/4

x2=-1

Write the equation of a line in slope intercept form that contains the points (0,2) and (3,4)

Answers

Answer:

Step-by-step explanation:

Generally equation of a line is given as

y=mx+c

Then given the point (x, y)=(0,2)

Therefore x=0 and y=2

y=mx+c

2=m×0+c

2=0+c

Then, c=2

Then intercept is 2

Also given the point (x, y)=(3,4)

x=3 and y=4 and c=2

y=mx+c

4=m×3+2

4=3m+2

4-2=3m

2=3m

Then, m=2/3

Then, the slope of the graph is 2/3

y=mx+c

Now, m=2/3 and c=2

The general equation of the line becomes

y=2/3x+2

Multiply through by 3

3y=2x+6

Then this is the equation of the line

What figure is a dilation of Figure A by a factor of 12?

Answers

Answer:

Option C is correct.

Step-by-step explanation:

The rule of dilation implies that when a figure is dilated by a scale factor of 1/2, the length of the sides of the image can be obtained by multiplying the sides of the original figure/object by 1/2.

For example, if the length of a side of a segment is 6 and is dilated by a scale factor of 1/2. The length of the image segment will be 6/2 or 3/2. i.e. the original length 6 of the segment is multiplied by 1/2 to get the image segment 3/2.

Other important thing to consider is when the scale factor to be multiplied is less than 1, than the image will be smaller, but if the scale factor to be multiplied is greater than 1, than the image will be larger.

Now, coming towards the question and lets dilate the sides of the figure A by a scale factor of 1/2.

The length of the side 5 in will have its image with length 2.5 in.

        i.e. 5/2= 2.5

The length of the side 2 in will have its image with length 1 in.

        i.e. 2/2 = 1

The length of the side 4 in will have its image with length 2 in.

        i.e. 4/2 = 2

The length of the side 1 in will have its image with length 0.5 in.

        i.e. 1/2 = 0.5

Therefore, option C is correct.

i will mark as brainliest whoever gets this question
The division axiom states that both sides of an equation can be divided by the same number except 0, without changing the value of the equation

Answers

Answer:

This is true

Step-by-step explanation:

Take for example 10=5x, you would divide both sides by 5 without changing anything to the equation.

In a case like 5=0x, you can't divide both sides by 0, so the solution is undefined.

What percent of 320 is 64

Answers

Answer:  If you are using a calculator, simply enter 64÷320×100 which will give you 20 as the answer.

Step-by-step explanation: Hope it helps:)

and tryna mark a child brainlest ;)

Answer:

20%

Step-by-step explanation:

64/320=0.2

0.2*100=20%

Explain the steps you could use to solve 3y+6=30 to find y.

Answers

Answer:

y = 8

Step-by-step explanation:

remove the constant, 6:

3y=24

divide both by 3. leave x by itself

3y/3=24/3

y = 8

do these steps and you can do these easily

The solution to the equation 3y + 6 = 30 is y = 8.

To solve the equation 3y + 6 = 30 and find the value of y, we need to isolate the variable y on one side of the equation by performing various operations. Here are the steps to solve the equation:

Step 1: Begin with the given equation:

3y + 6 = 30

Step 2: Subtract 6 from both sides of the equation to move the constant term to the other side:

3y + 6 - 6 = 30 - 6

3y = 24

Step 3: Divide both sides of the equation by 3 to isolate the variable y:

(3y)/3 = 24/3

y = 8

Step 4: Verify the solution by substituting the value of y back into the original equation:

3(8) + 6 = 30

24 + 6 = 30

30 = 30

Since the equation is true, we can conclude that the solution to the equation 3y + 6 = 30 is y = 8. By performing the necessary operations, we successfully isolated the variable y and found its value that satisfies the original equation.

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Find equation that the model below represents

Answers

Answer:

5/6

Step-by-step explanation:

Solve for r.
3r = 36

Answers

Answer:

12

Step-by-step explanation:

3r = 36

3r/3 = 36/3

r = 12

Answer:

[tex]r = 12[/tex]

Step-by-step explanation:

[tex]3r = 36 \\ \frac{3r}{3} = \frac{36}{3} \\ r = 12[/tex]

Do any students own bicycles a statistical question?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes it is because a in statistical question, you need to collect data. A non statistical question is where you don't need any data to find out the answer.

I hope this helped!!!

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