A triangle has one side that is 5 inches long and another that is 7 inches long. How many different lengths, in inches,are possible for the last side of the triangle?

Answers

Answer 1

Answer:

2 < c < 12

Step-by-step explanation:

Let the last side of the triangle = c

The sum of any two sides must be greater than the third side. Let's say we have triangle ABC, where a = 5 inches and b = 7 inches

a + b > c (1)

a + c > b (2)

b + c > a (3)

From (1);

a + b > c

7 + 5 > c

c < 12

From (2):

a + c > b

7 + c > 5

7 - 5 < c

c > 2

From (3):

b + c > a

5 + c > 7

c > 7 - 5

c > 2

So the possible lengths of c are: 2 < c < 12


Related Questions

please help! thank you! :)

Answers

Answer:

18

Step-by-step explanation:

(9 + 3 )× 3 / 2 = 12×3 / 2 = 6×3 = 18

ITS EASYYYY PLS HELP

Answers

Answer: 3!

Step-by-step explanation:

Answer:

The angle vertical to angle 2 is 3.

Hope it helps :)❤

Ayudapor favor con estas materia

Answers

Answer:

Step-by-step explanation: 27 - = 8.7 9 x = 1 x 5

Find the distance between the points (9,8) and (–2,–4).

Answers

Answer:

12/11

Step-by-step explanation:

y2-y1/x2-x1

(-4-8)/(-2-9)

Answer:

-12,-1

Step-by-step explanation:

(9,8) (-2,-4)

x,y. x²,y²

x²-x,y²-y

(-4-8),(-2-9)

-12,-11

=-12,-11

A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1625 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of
the two cars that week?

Answers

Answer:

first car = 35, second car= 15

Step-by-step explanation:

40x+15y=1625

x+y=50

multiplying the 2nd by -15 and add the 2 equations, we get x= 35 and by substituting on second equation we get y= 15

Please help me with this one I beg you!! And don’t send those file links I know that their scams. Please help I will mark brainliest!!

Answers

Step-by-step explanation:

2;6 -> 6; -2

4;4 -> 4 ; -4

6;8 -> 8; -6

sorry English isn't my first language so I can't explain it :((

McKenna was asked to write the following expression in standard form.

3−5(3a+6)
When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)
3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4
a. McKenna made her first mistake in ____________

Question 2
b. The correct expression in standard form is ______

basically pls fill in the blanks :]

Answers

Answer: -15a - 27

Step-by-step explanation:

McKenna made her first mistake in Step 2. You would need to multiply -5 by 3a and 6, not add it to 3 first.

The correct steps would be:  

3−5(3a+6)

3+(−5)(3a+6) Step 1

3 - 15a - 30 Step 2

-15a - 27 Step 3

please help me
.
.
.
.
.
.

Answers

Answer:

Step-by-step explanation:

The figure is a parallelogram. That means the y value of g is the same as the y value of H

G( ? , b)

The x value of G is a little harder. You have to be careful what you do to c.

A is at - c which means you need to add c to get to (0,0)

In addition, you go out d units to get to F. So the x value of G = c + d

the complete answer is G(c + d,b)

The graph shown here is the graph of which of the following rational
functions
O A FO) = 2-3x+3
OB. AB) = x= 1962–31x-3
x-2
O C. FX) =

Answers

Given:

The graph of rational function.

To find:

The rational function.

Solution:

If the graph of a rational function has a vertical asymptote at [tex]x=a[/tex], then [tex](x-a)[/tex] must be a factor of the denominator of that rational function.

From the given graph it is clear that the graph has two vertical asymptotes. One is at [tex]x=-1[/tex] and another one is at [tex]x=3[/tex].

It means, [tex](x-3)[/tex] and [tex](x+1)[/tex] are the only two factors of the denominator of the rational function.

In option A, the factors of the denominator are different from [tex](x-3)[/tex] and [tex](x+1)[/tex] .

In option B, the denominator has an extra factor [tex]x-2[/tex].

In option C, the denominator has only two factors [tex](x-3)[/tex] and [tex](x+1)[/tex].

Therefore, the correct option is C.

HELP ME IN 3 AND 4 PLEASEEEEE

Answers

Answer:

3= 60 degrees

Step-by-step explanation:

Triangle= 180 degrees

60 degrees + 60 degrees = 120 degrees

180 degrees - 120 degrees = 60 degrees

*Geometry* Need help, will give brainliest

Answers

Answer:

[tex]sinC = \frac{7}{25}\\~\\cosC = \frac{24}{25}\\~\\tanC = \frac{7}{24}[/tex]

Step-by-step explanation:

To get the sine of a non-right angle C in a right triangle, just divide the side opposing C by the long side. To get the cosine, divide the sides at C (shorter by longer). To get the tangent, divide the sine by the cosine.

Let's go:

[tex]sinC = \frac{7}{25}\\~\\cosC = \frac{24}{25}\\~\\tanC = \frac{7}{25} / \frac{24}{25} = \frac{7}{24}[/tex]

Answer:

sin(7/25), cos(24/25), tan(7/24)

Step-by-step explanation:

The sin, cos, and tan are found through the sides of the triangle.

The acronym SOH CAH TOA can be used to find which goes where.

S = sin

C = cos

T = tan

O = opposite

A = adjacent

H = hypotenuse

since it asks to use  angle C you start from there, for sin its O/H hint by the SOH the rest are the same.

WHATS X SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT AND EXPLAIN HOW U GOT THE ANSWER

Answers

since both intersecting lines are straight,
the angle opposite 45° also equals to 45°, as they are vertically opposite angles.

thus,
45°+45°+x+x = 360° (sum of angles at a point)
2x = 360°-90°
2x = 270°
x = 135°

Silas was curious if sample minimum was an unbiased estimator of population minimum. He started with a large
normally distributed population of test scores whose minimum was 51 points.
He then took a random sample of 6 tests and calculated the minimum of the sample. He replaced those tests
and repeated this process for a total of 40 trials. His results are summarized in the dotplot below, where each
dot represents the minimum score from a sample of 6 tests.
:
..
TATUS
50
70
75
55
60
65
Sample minimum

Answers

Answer:

Sample minimum appears to be a biased estimator since it consistently overestimated the population minimum.

Step-by-step explanation:

I checked the answer

The formula V = s3 give the volume V of a cube with side length s.

Answers

Answer:

8 inches cubed

Step-by-step explanation:

We get the formula in the task description:

V = s^3

The next sentence tells us s = 2in, so:

V = (2in)^3 = 8in^3

Answer:

8

Step-by-step explanation:

Formula: V = s³

Substitute: V = 2³

2³ = 2 · 2 · 2

Solve: V = 8

Question 1 (2 point)
(16.02 LC)
Which shape can be classified as a rectangle? (2 points)
a
Rhombus
Сь
Square
c
Trapezoid
d
Parallelogram

Answers

Answer d parallelogram

Help I'll give Brainly

Answers

Answer:i think D

Step-by-step explanation:

giving brainless <33

Answers

Answer:

12

Step-by-step explanation:

Una familia pasa sus vacaciones en un camping. Un día el padre le dice a Pedro que vaya a la fuente a buscar exactamente 4 litros de agua. Ahora bien, Pedro no dispone más que de 2 recipientes: un cubo de 5 litros de capacidad un pote de 3 litros

Answers

Answer:

Primero Pedro va al río con ambos recipientes.

Pedro llena el cubo de 5 litros.

Ahora (usando el agua del cubo de 5 litros) él puede llenar el pote de 3 litros.

De esta forma ahora tendrá:

3 litros de agua en el pote de 3 litros.

5 - 3 = 2 litros de agua en el cubo de 5 litros.

Ahora pedro debe vaciar el pote de 3 litros.

Ahora pedro pone los dos litros de agua que quedaban en el cubo grande en el pote de 3 litros.

En este momento tenemos:

2 litros de agua en el pote de 3 litros.

0 litros de agua en el cubo de 5 litros.

Ahora pedro deberá volver a llenar el cubo de 5 litros.

Con este cubo lleno, el pondrá agua en el pote de 3 litros hasta que se llene. Pero el pote de 3 litros ya tiene 2 litros, es decir, Pedro solo debe usar un litro del cubo para llenarlo.

Una vez pedro usa un litro del cubo, el agua restante en este será:

5 litros - 1 litro = 4 litros.

En este momento pedro tiene 4 litros de agua en el cubo de 5 litros.

Entonces puede vaciar el pote de 3 litros y regresar con exactamente 4 litros.

Suppose you invest $4,600 into a savings account with a 8.25% annual interest rate
that compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.

NEED ANSWER ASAP

Answers

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

8 1/2+6 1/2=





..........NO LINK

Answers

Answer:

15

Step-by-step explanation:

Answer:

The answer is 15.

Step-by-step explanation:

1) Add the whole numbers first.

[tex]14 + \frac{1}{2} + \frac{1}{2} [/tex]

2) Join the denominators.

[tex]14 + \frac{1 + 1}{2} [/tex]

3) Simplify.

[tex]14 + 1[/tex]

4) Simplify.

[tex]15[/tex]

Hence, the answer is 15.

What is the Surface Area of the figure below?

A. 268 square inches


B. 134 square inches


C. 21 square inches


D. 240 square inches

Answers

Answer:

34.98 yds²

Step-by-step explanation:

To find surface area, we add together the area of each side. We have six sides, but there are three sets of identical sides, so it's easier to calculate.

We begin with the sides with dimensions 2.40 and 2.50. Multiply these together.

2.40 · 2.50 = 6

Since there are two of these sides, we can already say that the combined area of them is 12. So, we start the equation with 12.

Next, the two sides with dimensions 2.34 and 2.50. Multiply these together as well, to get 5.85. Multiply this by two to find the area of both sides, 11.7.

Add to our equation, for 12 + 11.7.

For the final two sides, we have the dimensions 2.34 and 2.40. Multiply to get 5.64. Multiply this again by two to find the area of both sides. We get 11.28. Add this to the equation as well, for 12 + 11.7 + 11.28= 34.98.

The answer is 34.98 yds². Good luck :)

PLSS HELPPPP(10 points)

Answers

Answer:

-9

Step-by-step explanation:

Please help
I need this today :(

Answers

Step-by-step explanation:

Use COS method (Cos Angle = adjacent/hypotenuse)

given adjacent = 14 ft

hypotenuse = 67 ft

[tex] \cos(x) = \frac{adjacent}{hypotenuse} \\ \cos(x) = \frac{14}{67} \\ x = {cos}^{ - 1} ( \frac{14}{67} ) \\ = 78 \: deg(nearest \: degree)[/tex]

Help pls I’m rlly stressed rn I need help

Answers

Don’t click on the links they are scams and they don’t work
17.5, btw I hope you have a great day or night and stop being stressed:)

Find the surface area of the prism

Answers

Answer:

[tex]400\ cm^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of an object is the two-dimensional area around the object. If one was going to wrap the figure in paper, then the surface area would be the amount of paper one would need to cover the entirety of the object. To find the surface area of an object, calculate the area of each face of the object and then add up the results,

2. Find the area of each face

The area of all the rectangular faces can be found by using the formula to find the area of a rectangle, ([tex]length*width[/tex]). Substitute in each of the values,

[tex]17*7=119[/tex]

[tex]15*7=105[/tex]

[tex]8*7=56[/tex]

Now find the area of the triangular faces. This can be done by using the formula for the area of a triangle, ([tex]\frac{(length)*(width)}{2}[/tex]). Substitute in the given values,

[tex]\frac{(15)*(8)}{2}=60[/tex]

[tex]\frac{(15)*(8)}{2}=60[/tex]

3. Find the total surface area

Now add up the values of the area for each of the faces of the prism,

[tex]119+105+56+60+60[/tex]

[tex]=400[/tex]

How do I solve 4y-gon. The answer is 360(2y-1) but I don’t know how to show my work for it

Answers

Answer

search how they got the answer

Step-by-step explanation:

A​ one-terabyte external hard drive is on sale at a ​25% discount. If the original price was ​$​347, what is the sale​ price?

Answers

Answer:

$ 260.25

Step-by-step explanation:

$ 347 multiply by 25% or 0.25

You get $ 86.75

Take $347 - $86.75 = $ 260.25

The pet store got 53 fish they sold 29 fish right away. The divided the rest of the fish evenly into 3 tanks how many fish were in each tank

Answers

Answer:

8 fishes are in each tank

Step-by-step explanation:

53-29= 24

24÷3= 8

For a school fundraiser, Percy bought a big box of rubber ducks and wrote prize amounts, in dollars, on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and $100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500.

Percy then put all the rubber ducks in his school’s swimming pool. At the fundraiser, participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the rubber duck, and then they threw the duck back into the pool before the next person’s turn. Since the ducks were returned to the pool after they were caught, the chances of winning any particular amount remained the same.

Amir paid $15 to play the game once. If we assume he randomly selected a du

Answers

Answer:

i dont know

Step-by-step explanation:

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer

YES

Step by step Explanation

Answer:

There is not information given to assume the triangles are congruent.

Step-by-step explanation:

You can tell if two triangles are congruent by any of the following rules:

Three sides are congruent (SSS),

Two angles and a side in between are congruent (ASA)

Two sides and an angle in between are congruent (SAS)

Two angles and a side connected to one of those angles are congruent (AAS)

Note: SSA (Two Sides & One Angle) does not work. I good way to remember is that it spells a bad word backwards :)

In this case, there are only two sides given, but there aren't any angles, so there is not enough information to conclude if they are congruent or not.

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