. Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 8 cm

Answers

Answer 1
Final answer:

The possible sets of two sides for the lengths of the other two sides of the triangle are: 5 cm and 8 cm, 6 cm and 7 cm, and 8 cm and 8 cm.

Explanation:

To determine which set of two sides is possible for the lengths of the other two sides of the triangle, we can use the Triangle Inequality Theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, if one side of the triangle is 13 cm, then the sum of the other two sides must be greater than 13 cm in order for the triangle to be valid.

Let's check each set of two sides:

5 cm and 8 cm: The sum of these two sides is 13 cm, which is equal to the given side. Therefore, this set of sides is possible.6 cm and 7 cm: The sum of these two sides is 13 cm, which is equal to the given side. Therefore, this set of sides is possible.7 cm and 2 cm: The sum of these two sides is 9 cm, which is less than the given side. Therefore, this set of sides is not possible.8 cm and 8 cm: The sum of these two sides is 16 cm, which is greater than the given side. Therefore, this set of sides is possible.

Based on the Triangle Inequality Theorem, the sets of two sides that are possible are: 5 cm and 8 cm, 6 cm and 7 cm, and 8 cm and 8 cm.


Related Questions

Mary baked 21 cookies on saturday and twice that many on sunday for a school fundraiser. 4 cookies fell on the ground and had to be thrown out. if she packaged 3 cookies to a bag, how many cookies were left over?

Answers

21+21= 42 cookies minus 4 = 38 cookies
38/3= 12.66(round down to 12)
She made 12 bags with 3 in Each which is 36, so 2 were left over

A parallelogram has a base that measures 5 units and a height that measures (x + 6) units. The area of this parallelogram is 20 square units. What must be the value of x?
Choose one answer.
a. x=4
b. x=-2
c. x=5
d. x=15

Answers

The answer is

The answer is b. x=-2 

The area (A) of a parallelogram with height h and base b is:
A = b*h

We have:
b = 5
h = x + 6

A = 20
A = b * h
5 * (x + 6) = 20
x + 6 = 20 / 5
x + 6 = 4
x = 4 - 6
x = -2
Final answer:

To solve for 'x' in the parallelogram area equation, we multiplied the given base (5 units) by the height (x + 6 units) and set it equal to the given area (20 square units). After simplifying, we found that x must be -2 to satisfy the equation 5x + 30 = 20.

Explanation:

The question presented is a typical algebra problem where we need to find the value of 'x' in the context of the area of a parallelogram. The base of the parallelogram is given as 5 units and its height is given as (x + 6) units, with the total area given as 20 square units. Since the formula for the area of a parallelogram is base × height, we can set up the equation 5 × (x + 6) = 20 to find the value of x.

Now, we will solve for x:

Multiply the base by the height: 5(x + 6) = 20.Distribute the 5: 5x + 30 = 20.Subtract 30 from both sides to solve for x: 5x = -10.Divide both sides by 5 to find x: x = -2.

Hence, the correct answer is b. x=-2.

Faith is 1/5 get morthers age. their combined ages are 30. how old is faith

Answers

Let, Age of Faith = x
Age of this mother = 5x

Then, x+5x = 30
6x = 30
x= 5

So, age of faith is 5 years.

Hope this helps!

A movie theater charges $11 for each adult and $6 for each ticket. one day, they sold 163 tickets and made $1578. How many of each ticket did they sell?

Answers

I hope this helps you
Final answer:

The movie theater sold 117 adult tickets and 46 child tickets.

Explanation:

To solve this problem, we can set up a system of equations. Let's say the number of adult tickets sold is x and the number of child tickets sold is y. We can then write two equations based on the given information:

x + y = 163 (equation 1, representing the total number of tickets sold)11x + 6y = 1578 (equation 2, representing the total amount earned)

We can solve this system of equations by either substitution or elimination. Let's use elimination:

Multiply equation 1 by 6 to make the coefficients of y in both equations equal:

6x + 6y = 978

Subtract equation 1 from equation 2 to eliminate y:

(6x + 6y) - (11x + 6y) = 978 - 163

-5x = -585

Divide by -5:

x = 117

Substitute x back into equation 1 to find y:

117 + y = 163

y = 163 - 117

y = 46

Therefore, 117 adult tickets and 46 child tickets were sold.

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

Answers

(x-10)(x+9) =0
×=10 x=-9
10 + (-9)
= 1

Answer:

The value of a+b is 1.

Step-by-step explanation:

The given equation is

[tex]x^2-1x-90=0[/tex]

It is given that this equation has two solutions {a,b}.

First of all find the factors of given equation. The middle term can be written as -10x+9x.

[tex]x^2-10x+9x-90=0[/tex]

[tex](x^2-10x)+(9x-90)=0[/tex]

Taking out common from each parenthesis.

[tex]x(x-10)+9(x-10)=0[/tex]

[tex](x-10)(x+9)=0[/tex]

Using zero product property, we get

[tex]x-10=0\Rightarrow x=10[/tex]

[tex]x+9=0\Rightarrow x=-9[/tex]

The value of a is 10 and b is -9. The sum of both the solutions is

[tex]a+b=10-9=1[/tex]

Therefore the value of a+b is 1.

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B.

How fast did Car A travel?


_____mph

Answers

Car A traveled 55 miles per hour 
Call x the distance traveled.

Velocity of car A, Va = x / 2.4

Velocity of car B, Vb = x / 4

Condition: Va - Vb = 22

x / 2.4 - x / 4 = 22

4x - 2.4x =22(4)(2.4)

1.6x = 211.2

x = 211.2 / 1.6

x = 132 miles.

Then Va = 132 / 2.4 = 55 mph and Vb = 132 /4 = 33mph

You can check: 55 mph - 33 mph = 22 mph

Answer: 55 mph

 

Which statement correctly describes a kite

Answers

I think it's C. A kite has two pairs of adjacent side that are congruent and one pair of congruent angles.

State the y-coordinate of the y-intercept for the function below.

ƒ(x)=x^3-x^2-x+1 ...?

Answers

when y intercpets, x = 0
so here,

ƒ(x)=x^3-x^2-x+1
ƒ(x)=(0)^3-(0)^2-0+1
ƒ(x)= +1

Answer:

1

Step-by-step explanation:

Answer is 1 for Apex Precal

Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x coordinate of each coin, xA, xB, and xC. (See figure.)

Answers

From the given figure we can see that the coin B lies at the origin with coordinates (0,0).

The coins A, B and C lie on the corners of a square. The length of all sides in a square are equal. The distance between B and C form a side of a square. So distance from B to C is 10 cm. Likewise, distance from B to A is also 10 cm.

B is located at point (0,0) and C is 10 units right of B, so coordinates of C will be (10,0).

A is located 10 units above B, so coordinates of A will be (0, 10). 

Therefore, the x-coordinates of A, B and C are 0,0 and 10 respectively. 

The [tex]x[/tex] coordinates of the point A is [tex]\boxed{\bf 0}[/tex].

The [tex]x[/tex] coordinates of the point B is [tex]\boxed{\bf 0}[/tex].

The [tex]x[/tex] coordinates of the point C is [tex]\boxed{\bf 10}[/tex].

Further explanation:

Given:

The coin labeled as A lies on the [tex]y[/tex]-axis.

The coin labeled as B lies on the origin.

The coin labeled as C lies on the [tex]x[/tex]-axis.

The distance of the point B and C is [tex]10\text{ cm}[/tex].

Concept used:

The point which lies on the [tex]x[/tex]-axis, the value of its [tex]y[/tex]-coordinate is [tex]0[/tex].

The point which lies on the [tex]y[/tex]-axis, their [tex]x[/tex]-coordinate is [tex]0[/tex].

The coordinate of the origin is [tex](0,0)[/tex].

Calculation:

The coin labeled as A lies on the [tex]y[/tex]-axis therefore the [tex]x[/tex]-coordinate of the point is [tex]0[/tex].

The coin labeled as B lies on the origin therefore the [tex]x[/tex]-coordinate of the point is [tex]0[/tex].

The distance from point B to the point C is [tex]10\text{ cm}[/tex] and the coin labeled as C lies on the x axis it means that the [tex]x[/tex]-coordinate of the point is [tex]10[/tex].  

Therefore, the [tex]x[/tex] coordinate of the point A is [tex]0[/tex].

The [tex]x[/tex] coordinate of the point B is [tex]0[/tex].

The [tex]x[/tex] coordinate of the point C is [tex]10[/tex].

Learn more:

1. Coordinate of the point : https://brainly.com/question/1286775

2. Equation: https://brainly.com/question/1473992

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: Coordinate geometry, x-axis, y-axis, x-coordinate, y-coordinate, coin, square, three corners, three identical coins.

Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .

Answers

It's B) exponential. ...

This table shows the input and output values for an exponential function f(x)

What are the ratios of outputs for any two inputs that are 1 apart?

A. 1/2

B. 4

C. 1/8

D. 2

x −3, −2, −1, 0, 1, 2, 3

f(x) 1/256, 1/64, 1/16, 1/4, 1, 4, 16

Answers

Answer:

B. 4

Step-by-step explanation:

This table that shows the input and output values for an exponential function f(x) is,

x                -3          -2       -1      0      1      2       3

f(x)          1/256      1/64    1/16   1/4    1     4       16

Taking [tex]x=2[/tex] and [tex]x=3[/tex] as input (because they are 1 apart), the ratio of output is,

[tex]=\dfrac{f(3)}{f(2)}[/tex]

[tex]=\dfrac{16}{4}[/tex]

[tex]=4[/tex]

Answer:

The correct answer is B. 4

Step-by-step explanation:

What is 3/4 x 2/3 in simplest form?

Answers

To multiply fractions, you just multiply across so you'd do:
3 × 2 = 6
4 × 3 = 12
The answer is 6/12, but it asks for the simplest form so you can simplify to 1/2. I hope this helps!

which of the following is the correct factorization of the polynomial below?

27x^3+64

a) (3x+4)(9x^2-12x+16)
b) (9x+8)(3x^2-16x+8)
c) (3x^2+8)(9x-16x+8)
d) the polynomial is irreducible

...?

Answers

I'm pretty sure that this one is the correct factorization of the polynomial above: a) (3x+4)(9x^2-12x+16)

Answer:

a) (3x+4)(9x^2-12x+16)

Step-by-step explanation:

I don't really know how to do this and I have to explain to my class how I got my answer. Help me!!!

Answers

234 i guest look on the web that what came up


An experiment consists of rolling two fair(not weighted) dice and adding the dots on the two sides facing up. Each die has the number 1 on two opposite faces, the number 2 on two opposite faces, and the number 3 on two opposite faces.

Compute the probability of obtaining the indicated sums in problem.

Answers

Just regular dice, it has total possible outcomes. You will see there are 12 of them have a total of 4, if you would see.
So, the answer would be
12/36=1/3

the rest can also be obtained by counting. the probability you get a sum of 2 is

4/36

So, for a sum of 6 and the probability you get a sum of 3 and the probability you get a sum of 5 is 8/36

Final answer:

The student is performing a probability calculation involving rolling two dice and must enumerate all possible outcomes. The probability of a specific sum is determined by dividing the number of ways to achieve that sum by the total number of possible outcomes, 36 in the case of rolling two dice.

Explanation:

The student's experiment consists of rolling two fair dice and adding the numbers that appear on the faces that land upwards. Each die in this scenario has the numbers 1, 2, and 3 on two opposite faces. When calculating the probability of specific sums resulting from this experiment, we need to consider all the possible outcomes (the sample space) and the number of ways to achieve the sum in question.

To find the probability of any particular sum, one must enumerate each distinct way that sum can occur. There are a total of 36 possible outcomes when rolling two dice (6 outcomes per die × 2 dice). For example, to calculate the probability of getting a sum of 4, we need to consider the possible dice combinations (1+3, 2+2, 3+1) that would result in that sum.

As for the probability of an event, it is the number of favorable outcomes over the total number of possible outcomes. If the event is 'rolling a sum of 4', and there are three combinations out of 36 total that yield that sum, the probability would be 3/36 or 1/12. Remember that we must count each die distinctly; although the numbers are the same (1, 2, 3), a roll of 1 on the first die and 3 on the second die is a different outcome from a roll of 3 on the first die and 1 on the second die.

Find the range of y = 3cos4x - 2. -5 ≤ y ≤ 5 -5 ≤ y ≤ 1 -3 ≤ y ≤ 3 1 ≤ y ≤ 3

Answers

Answer:

{y|−5≤y≤1}

Step-by-step explanation:

The range of the function is y ∈ [-5, 1] or  -5 ≤ y ≤ 1 if the function is  y = 3cos4x - 2 option second is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = 3cos4x - 2

As we know, cosx ∈ [-1, 1]

-1 ≤ cosx ≤ 1

-1 ≤ cos4x ≤ 1

-3 ≤ 3cos4x ≤ 3

-5 ≤ 3cos4x - 2 ≤ 1

-5 ≤ y ≤ 1

Thus, the range of the function is y ∈ [-5, 1] or  -5 ≤ y ≤ 1 if the function is  y = 3cos4x - 2 option second is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

30inches increased by 30 percent

Answers

30 * 0.30 = 9
30 + 9 = 39

30 increased by 30% = 39

p and q are prime numbers. p3 x q = 56. Find p and q.

Answers

p = 2
q = 7

just because 56 = 2*2*2*7

What is the exact circumference of the circle?

A. 10π feet
B. 20π feet
C. 40π feet
D. 60π feet

Answers

Your answer would be B.)

circumference of a circle= pi multiplied by the diameter

= 20ft x pi

=20 pi feet so the answer is b

Which of the following statements is true?

A.A radius is always a chord.
B.A tangent is always a secant.
C.A diameter is always a chord.
D.A chord is always a diameter.

Answers

The best and most correct answer among the choices provided by your question is the third choice or letter C.

The statement "A diameter is always a chord." is ALWAYS TRUE.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

scores on a test are normally distributed with a mean fo 69.2 and a standard deviation of 9.4, find p81

Answers

divide 9.4 and 64.2 find p81

Will upvote and tip
A smart phone costs $149.99 before tax. The tax on the smart phone is 7%.
What is the total cost of the smart phone?

Round your answer to the nearest cent.

Answers

149.99+(149.99*0.07)=160.4893. Round to $160.49

Answer/Step-by-step explanation:

149.99+(149.99*0.07)=160.4893. Round to $160.49

Use the diagram below to answer the following questions.

The value of x is
The measure of 1 is
The measure of 2 is
The measure of 3 is
The measure of 4 is
The measure of 5 is
The measure of 6 is
The measure of 7 is
The measure of 8 is

Answers

Answer:

The value of x is 24. The measures of angles 1,2,3,4,5,6,7,8 are 101, 79, 101, 101, 79, 79, 89, 89 respectively.

Step-by-step explanation:

If two line intersect each other, then vertical opposite angles are same.

[tex]3x+19=5x-29[/tex]                    (Vertical opposite angles)

[tex]19+29=5x-3x[/tex]

[tex]48=2x[/tex]

Divide both sides by 2.

[tex]24=x[/tex]

The value of x is 24.

Measure of angle 2 is

[tex]\angle 2 =3x+7=3(24)+7=79[/tex]                (Vertical opposite angles)

The measure of angle 2 is 79°.

Measure of angle 1 is

[tex]\angle 1 =180-\angle 2=180-79=101[/tex]           (Angle 1 and 2 are supplementary angles)

The measure of angle 1 is 101°.

Measure of angle 3 is

[tex]\angle 3 =180-\angle 2=180-79=101[/tex]           (Angle 3 and 2 are supplementary angles)

The measure of angle 3 is 101°.

Measure of angle 4 is

[tex]\angle 4 =4x+5=4(24)+5=101[/tex]                (Vertical opposite angles)

The measure of angle 4 is 101°.

Measure of angle 5 is

[tex]\angle 5 =\angle 2=79[/tex]                (Alternate Interior Angles)

The measure of angle 5 is 79°.

Measure of angle 6 is

[tex]\angle 5 =\angle 6=79[/tex]                 (Vertical opposite angles)

The measure of angle 6 is 79°.

Measure of angle 7 is

[tex]\angle 7 =180-(5x-29)=180-(5(24)-29)=89[/tex]                 (Supplementary angles)

The measure of angle 7 is 89°.

Measure of angle 8 is

[tex]\angle 8 =\angle 7=89[/tex]                 (Vertical opposite angles)

The measure of angle 8 is 89°.

Solve each compound inequality. Graph the solution

Help explain step by step

4x<=12and-7x<=21

Answers

go to tiger-algerbra.com and type in the answer.
it will give you step by step ways to solve it 

A 1250-kg slippery hippo slides down a mud-covered hill inclined at an angle of 18º to the
horizontal. If the coefficient of sliding friction between the hippo and the mud is 0.0900, what
force of friction impedes the hippo’s motion down the hill? ...?

Answers

The solution to the problem is as follows:

The force of friction can be calculated using the equation F = uN, where F is the magnitude of the force, u is the coefficient of friction, and N is the normal force. For an inclined plane at 18 degrees above the horizontal, the normal force is given by N = mg cos theta. Putting all the equations together,

F = umg cos theta
F = (0.09)(1250)(9.80) cos(18)
F = 1.05 kN

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

What are the factor pairs of 23?

Answers

it is a prime, it doesn't have, the only (I don't know if your system counts 1,23 as factors but there are no others)

What is the exact value of the expressions the square root of 180. − the square root 125. + the square root of 5.? Simplify if possible.
A) 2the square root of 2.
B) 12the square root of 2.
C) 2the square root of 5.
D) 12the square root of 5.

Answers

I hope this helps you

Answer:

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

C is the correct option.

Step-by-step explanation:

The given expression is [tex]\sqrt{180}-\sqrt{125}+\sqrt{5}[/tex]

In order to simplify the expression, we find the factors.

180 =6 ×6×5

125 = 5 ×5×5

Hence, we can rewrite the expression as

[tex]\sqrt{6\times6\times5}-\sqrt{5\times5\times5}+\sqrt{5}[/tex]

We can further write this expression as

[tex]\sqrt{6^2\times5}-\sqrt{5^2\times5}+\sqrt{5}[/tex]

Now, we can use the rule [tex]\sqrt{x^2}=x[/tex]

[tex]6\sqrt{5}-5\sqrt{5}+\sqrt{5}[/tex]

Finally, we can combine these like terms

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

Hence, C is the correct option.

PLEASE HELP!
A 20in. by 24in. photo is reduced so that the length (the longer dimension) is 15in.

What is the width of the reduced photo?

A: 11in
B: 12.5 in
C: 13.5 in
D: 18in

Answers

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Dimensions of the photo is given by

[tex]20\ in.\ by\ 24\ in.[/tex]

According to question, the photo is reduced so that the longer dimension is 15 inch.

So, Let the width of the reduced photo be x.

So, it becomes,

[tex]\frac{20}{x}=\frac{24}{15}\\\\x=\frac{15\times 20}{24}\\\\x=12.5\ in.[/tex]

So, the width of the reduced photo is 12.5 inch.

Hence, Option 'B' is correct.

All real numbers that are less then -3 or greater then or equal to 5

Answers

All real numbers that are less then -3 or greater then or equal to 5:

-3 < x >= 5

hope that helps

According to the Wall Street Journal, 14,200,000 videotape copies of Walt Disney's Fantasia have
been sold to date. Write that number in scientific notation.

A. 1.42 × 10^7
B. 1.42 × 10^6
C. 142 × 1,000,000
D. 142 × 10^7

Answers

the answer is A. 1.42 × 10^7
proof

14,200,000 =14,2 x 10^5,  14,2=1, 42 x 10^2

14,200,000 =1, 42 x 10^2 x 10^5,  =1.42 × 10^7


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