12. A triangle has side lengths of 13 inches and 35 inches. What are the possible sidelengths for the third side of the triangle? Is a side length of 4 feet possible? Why or why not?​

Answers

Answer 1

Answer:

  22 in < third side < 48 inches

  48 inches is not a possible side length

Step-by-step explanation:

The triangle inequality allows the third side to range between the difference and the sum of the two given sides:

  (35 -13) < s < (35 +13)

  22 < s < 48 . . . . . . inches

A side length of 4 feet (48 inches) does not satisfy the triangle inequality.

_____

Additional comment

Some authors allow the "or equal to" case in the triangle inequality. When the sum of the shortest sides is equal to the longest side, the triangle looks like a line segment: it has an area of zero. Other authors prefer a strict inequality, so the triangle has non-zero area. That is the version we have used to answer this question. YMMV


Related Questions

what is the equation of the linear function

Answers

Answer:

y=3x+10 is the answer. I hope it is

The equation 5x+7=4x+8+x-1 is true for all real numbers. Substitute a few real numbers for x to see that this is so and then try solving the equation. Describe what happens.

Answers

21-21-21-21-21 okkkk its veryy bad answrr

I need help!!!!!!!!!!!

Answers

i) less than

ii) greater than

iii) less than

iv) greater than

Step-by-step explanation:

do you need the calculations too?

If the metal used to construct the spinner costs $13. 25 per square centimeter, how much will it cost to make this part of the compass? Round to the nearest cent. Cost = $.

Answers

Answer:

129.82

Step-by-step explanation:

I got the right answer

The cost to make the spinner is $132.50.

The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters.

The area of each triangle is (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters.

The total area of the spinner is 2 * 5 = 10 square centimeters.

The cost to make the spinner is 10 * $13.25 = $132.50.

Rounded to the nearest cent, the cost is $132.51.

Here is the calculation:

Area of each triangle = (1/2) * base * height = (1/2) * 2 * 5 = 5 square centimeters

Total area of the spinner = 2 * 5 = 10 square centimeters

Cost to make the spinner = 10 * $13.25 = $132.50

Rounded to the nearest cent, the cost is $132.51

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#SPJ2

I need help please please please

Answers

Answer:

diameter =20 inches

radius = d÷ 2

=20 ÷2

r. = 10 inches.

Answer:

10 inches

Step-by-step explanation:

radius is half of the diameter and half of 20 is 10

This morning Harry took a history test they were 45 multiple choice problems on the test and answered 60% of them correctly how many problems did Harry get right

Answers

Answer: 27

Step-by-step explanation:


Convert 60% to a decimal

.60 * 45 = 27

A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3. 14 for π and round your answer to the nearest tenth. 682. 7 in3 2143. 6 in3 85. 3 in3 267. 9 in3.

Answers

Volume is the space occupied by an object. The volume of the globe is 268.0825 in³.

What is the volume of a sphere?

The volume of the sphere is given by the formula,

[tex]\text{Volume of Sphere}= \dfrac{4}{3} \pi r^3[/tex]

We know that the diameter of the globe is reduced to half, therefore, the diameter of the globe,

[tex]\rm \text{New Diameter of the globe} = \dfrac{Diameter}{2} = \dfrac{16}{2} = 8\ inches[/tex]

Also, the radius of the globe is half of its diameter,

[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{8}{2} = 4\ inches[/tex]

We know that the shape of a globe is spherical, also, we know the formula of the volume of the sphere, therefore, the volume of the globe can be written as,

[tex]\begin{aligned}\text{Volume of Globe}&= \dfrac{4}{3} \pi r^3\\\\& =\dfrac{4}{3} \pi (4)^3\\\\&=268.0825\rm\ in^3 \end{aligned}[/tex]

Hence, the volume of the globe is 268.0825 in³.

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the problem is Question
Divide.52÷(−45)

Answers

Answer:

-1.555

Step-by-step explanation:

52/(-45)= -1.555555

Answer:

well i just worked it out and got -1.155556...

Step-by-step explanation: Sorry if this wasn't very helpful, i really did try though have an amazing day :D

A 2-cup bottle of hair gel costs $23.20. What is the price per fluid ounce?
$_______

Answers

Answer:

11.6

Step-by-step explanation:

Divide the 23.20 by 2 to get 11.6 per fluid. So the answer is $11.6.

Hope this helped you out!!!

Answer:

$1.45 per fluid ounce

Step-by-step explanation:

There are 8 ounces in 1 cup

There are 16 ounces in 2 cups

Solve:

16 ounces = $23.201 ounces = $23.20 ÷ 161 ounces = $1.45

-Chetan K

Deternine what thanks

Answers

Answer:

Point B

Step-by-step explanation:

f (-4) is finding -4 on the y axis. Point B is (2, -4), hence the reason why it is the answer.

i need help with this​

Answers

Answer:

V=904.32 cubic centimeters

Step-by-step explanation:

V=4/3(Pi)x6^3

The areas of the figure below

Answers

Answer:

264 , 42

Step-by-step explanation:

Which of the following is likely to keep Harry from being approved for a loan? a. Harry's debt-to-income is a stable 39%. B. Harry's credit score currently sits at 702. C. Harry has a gross monthly income of $3800. D. Harry was able to offer his vacation home as collateral for the loan. Please select the best answer from the choices provided A B C D.

Answers

Answer:

the answer is A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

I think it is

the system equations 2y=14-2x and y=-x+7

Answers

Answer:

Hey there!

When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.

In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.

2(-x+7)=14-2x

-2x+14=14-2x

-2x=-2x

x=x

As we can see, there are infinitely many solutions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.

I hope this helps! :D

Jimmy applied the distributive property to write the equation below.

24 + 6 = 6 (4 + 2)

Answers

Answer: if you simplify this it becomes 30=28 but this is a false statement so you would say 30≠28

Step-by-step explanation:

≠ means not equal

Calculator
What is the solution to this inequality?
4x + 8 <_ 28
Drag and drop a symbol and number to correctly complete the inequality.
_9 -5
5
9
Der

Answers

Answer:

x<_5

Step-by-step explanation:

first collect the like terms

4x<_28-8

4x/4<_20/4

=x<_5

TONTE UI E doove
7) Is this exponential growth or decay?
ТУ
$ 10
Growth
Decay
Both
ОО
O Neither
Wibataisuthe initial amount anbefunction
EXTD

Answers

The answer to your problem is decay since the graph is going negative

Solve for x in the equation 2x2-5x+1 -3.
29
41
o xtv
O
O
o x + V47

Answers

Answer: B.

Step-by-step explanation: 2x² + x - 6x - 3

= 2x² - 5x - 3

Tell me if you get the answer right.

What is the volume of a right circular cylinder with a base diameter of 17. 5 ft and a height of 24. 5 ft? Enter your answer in the box. Use 3. 14 for pi and round only your final answer to the nearest hundredth.

Answers

Right circular cylinder has its height as the straight line connecting centers of its top and bottom circle. The volume of given cylinder is: 5889.95 cubic feet.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi \times r^2 \times h \: \rm unit^3[/tex]

For the given case, the considered right circular cylinder has these dimensions:

Its base diameter = 17.5 ft

Its height = 24.5 ft

Since radius is half of diameter, thus, radius of considered cylinder = 17.5/2 = 8.75 ft

Thus, using the formula for volume of right circular cylinder, we get:

[tex]V = \pi \times r^2 \times h \: \rm unit^3\\V \approx 3.14 \times (8.75)^2 \times (24.5) \approx 5889.95 \: \rm ft^3[/tex]

Hence, the volume of given cylinder is: 5889.95 cubic feet.

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y’all helpppppppppp!!!!

Answers

Answer:

Perimeter= 20 inches

Step-by-step explanation:

since the perimeter of a plane figure is distance round the shape, we add all the sides in order to get 20inches.

Perimeter= 4+5+4+4+3= 20incjes. That's for the perimeter.

Then area, we divide the shape into two portions sides A and B.

We find the area of side A which is a rectangle so, the are = Length×Breadth..

= 4×5 = 29cm².Side B is a triangle so it's area will be

Answer:

Total Perimeter = 30 in

Total Area: 30 in²

Step-by-step explanation:

First, do the perimeter of the triangle.

Equation: side+side+base = 3 + 4 + 5 = 12

Next is the perimeter of the rectangle.

Equation: 2(length + width) = 2·(5 + 4) = 18

Then, add the two perimeters:

12 + 18 = 30 in (Total Perimeter = 30 in)

Next, do the area of the triangle.

Equation: height • base/2 = 4 · 5/2 = 10

Finally, the area of the rectangle.

Equation: width • length = 4 · 5 = 20

Then, add the two areas:

10 + 20 = 30 (Total Area: 30 in²)

How do I solve this ?

Answers

Step-by-step explanation:

12 in long requires 96 pounds.

inversely proportional means that if I double the length of the handle, I need only half of the force.

so,

24 in long requires 48 pounds.

the product of both factors is constant for the system.

c = 12×96 = 1152 = 24×48 = ...

c is called "work". it is force times distance and usually expressed in joules.

(a)

so, the force is then work / distance.

force = 1152 / length

(b)

60 = 1152 / length

60 × length = 1152

length = 1152/60 = 288/15 = 96/5 = 19.2 in

the handle must be 19.2 in long to do the same work with 60 pounds of force (i.e. to loosen the bolt with 60 pounds of force).

cos60=5/zy ??? how do I get rid of the 5? Normally I would multiply by the denominator but that doesn't work here. The end answer should be zy=10

Answers

cos 60 = 1/2

1/2 = 5/zy

1= 10/zy

zy=10

3x + 5y = 7
How to solve it

Answers

Answer:

x=1 and y=4/5

Step-by-step explanation:

Given system of equations

3x+5y=7

5x+10y=13

Multiply first equation by 2

2(3x+5y)=2(7)

6x+10y=14

Eliminate y-variable to get "x"

 6x+10y=14

- 5x+10y=13

         x = 1

Substitute x=1 into either equation and find "y"

3x+5y=7

3(1)+5y=7

3+5y=7

5y=4

y=4/5

Therefore, x=1 and y=4/5

i need help please thanks​

did i get the second one wrong

Answers

Answer:

Earth to the Moon I think

Answer: Earth to moon

11. A bank is offering a 6-month loan of $5,000 with an annual simple interest rate of 7%. What is the
loan amount at maturity?
a. $5,175
b. $5,100
c. $5,050
d. $5,235

Answers

It’s B
For sure
I hope :/

A bouncy ball is dropped such that the height of
its first bounce is 4.75 feet and each successive
bounce is 75% of the previous bounce's height.
What would be the height of the 9th bounce of
the ball? Round to the nearest tenth (if
necessary).

Answers

The rate at which the ball drops from the height is an illustration of an geometric sequence

The height of the 9th bounce of the ball is 0.4 feet

How to determine the height of the ball

The given parameters are:

Initial height, a = 4.75

Rate, r = 75%

Bounce, n = 9

The function that represents the height of the ball is:

[tex]H = ar^{n[/tex]

So, we have:

[tex]H = 4.75 * (75\%)^{9[/tex]

Evaluate

[tex]H = 0.4[/tex] --- approximated

Hence, the height of the 9th bounce of the ball is 0.4 feet

Read more about geometric sequence at:

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CAN SOMEONE PLS HELP ME ON THIS QUESTIONNN????????????

Answers

Answer:

the answer  is 322

Step-by-step explanation:

What is the product of 8.2 × 109 and 4.5 × 10-5 in scientific notation?
36.9 × 10-45
12.7 × 104
3.69 × 105
3.69 × 1014

Answers

Answer:

Step-by-step explanation:

8.2×10^9 ×4.5×10^{-5}=36.9×10^4

Answer:

its c 3.69x105

Step-by-step explanation:

find the slope of each line
please help i am confused,

Answers

Answer:

Slope: 3

Step-by-step explanation:

There are two ways to solve this, one is more algebraically, and one is more logically.

Algebraically:

When only a graph is available to us as a resource, we can use a method called rise-over-run, which looks like this [tex]\frac{y}{x}[/tex].

Now, we select 2 points on the graph that are real integer values, meaning they aren't decimals. I will use (3,-2) and (4,1)

When we use rise-over-run we subtract the y-values and the x-values from each over before dividing. [tex]\frac{1-(2)}{4-3} = 3/1=3[/tex]

Logically:

We can use something called a "slope triangle" to find the slope. We will connect the same 2 points mentioned before.

We will draw a triangle to the right of the two points. I will attach a screenshot.

Anyone mind helping!?

Answers

Answer:

B) [tex]3\sqrt{3}[/tex]

Step-by-step explanation:

First simplify the radical on the right.

[tex]\sqrt{75}[/tex] is equal to [tex]\sqrt{25} *\sqrt{3}[/tex] , because 25 * 3 is 75, so we can separate the square roots into the product of these two square roots.

Then we know [tex]\sqrt{25}[/tex] is just equal to 25, which means the simplified version of [tex]\sqrt{75}[/tex] is [tex]5\sqrt{3}[/tex].

Then we can use this new representation to finish solving.

[tex]8\sqrt{3}-5\sqrt{3} =3\sqrt{3}[/tex], so the answer would be B

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