Given that two sides of a triangle have sides 5 and 7, write the range of the lengths of the third side:


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Plz due 11:59

Answers

Answer 1

Answer:

Step-by-step explanation:

The two sides add up to 12. If the third "side" of the triangle is 12, then 5 and 7 will lie horizontally on 12.

So the maximum value must be less than 12. What's the smallest x could be?

well 5 + something must be > than 7. If they are not larger than 7, then 5 and something will lie on 7 just as it did before. So how big is something?

5 + y > 7

5 - 5 + y > 7 - 5

y > 2

So the range    is  2 < x < 12

How else could you write this?

2 < x

x < 12 is one way.


Related Questions

In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.

Answers

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48

Answers

2x2 − 12x + 21. Axis of symmetry. 2.

As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.

Answers

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

I'd like to imform you about responsible internet usage. Social sites like this shouldn't be used for asking people to be their girlfriend. They should especialy not be used for inappropriate reasons either. I've seen very offensive pictures on this website. Thank you for listening! Have a great day!

Key: R = Percentage Rate P = Original Price

Complete the proof for the following Algebraic Equation:

3x + 6 = 2(x-1)

Select the answer for x below and show the proof on your page for uploading.

O x - 4

Ox= 1

O x=8

O x--7​

Answers

x= -8

Step-by-step explanation:

3x + 6 = 2(x-1)

3x + 6 = 2x - 2

3x - 2x = -2 -6

x = -8

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer: 28.5 hrs x 7.75 = $220.875
This can be rounded up to $220.90

Hope this helps :)

Answer:

$220.88

Step-by-step explanation:

Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?

Answers

Answer:

Note. There is a mismatch between the graph and the equation

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

As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s

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

If we go by the equation, then:

f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 seconds

(sinA + cosA)/ (secA + cosecA) = sinA* cosA​

Answers

Answer:

Proof below

Step-by-step explanation:

Trigonometric Identities

We'll prove that:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]

Recall:

[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]

[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]

Applying those definitions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]

Adding the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]

Dividing the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]

Simplifying:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]

Hence proved

Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7

Answers

Answer:

slope(m)=change in y/change in x

-7=y-(-2)/x-(-7)

-7=y+2/x+7

-7(x+7)=y+2

-7x-49=y+2

-7x-49-2=y

-7x-51=y (B)

Solve the proportion below. X/12=12/72

Answers

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars

Answers

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39


Find the value of x that makes A||B.

22 = 3x - 20 and 25 = x + 20
x = [?]
Enter

Answers

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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2x + 7 > 11
Please and thank you

Answers

Answer:

x = > 2

Step-by-step explanation:

This is the answer because:

1) >2 means x is any number greater than 2

2) For example, 2 x 3 = 6 +  7 = 13

3) 13 is greater than 11

Hope this helps!

x^2 plus 2y divideed by 2x plus 3z equal

Answers

Answer:

(x^2 plus 2y")

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

    2x(2x + 3)

Step-by-step explanation:

Doing this problem correctly requires the application of "order of operations" rules.  "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your

x^2 plus 2y divided by 2x

comes out to:

(x^2 plus 2y")

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

         2x

If we now divide this result by "2x plus 3z," we get:

  (x^2 plus 2y")

  --------------------

            2x

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

      2x + 3

or:

(x^2 plus 2y")

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

    2x(2x + 3)

When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.

Answers

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)

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Answers

Answer: 15w

Step-by-step explanation:

joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?

Answers

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

Two trapezoids below are similar what is the length of RS?

Answers

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

 

Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =

Answers

Answer:

Step-by-step explanation:

a. f(5) = 5+7 = 12

b. f(-1) = -1+7 =6

c. f(-3) = -3+7 =4

a. 5+7 = 12
b. -1+7=6
c. -3+7=4

GUYS PLS HELP ME, its math and I'm really stuck

Answers

Answer:

B. 1/2

Step-by-step explanation:

You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.

1/2 inch : 1 week

1/2

I Hope That This Helps! :)

Find the slope:
(-7, 4), (13, 4)
O 20
O Zero
O Undefined

Answers

Answer:

Zero

Step-by-step explanation:

it is to correct answer because I did this before and one of my classes also subscribe to my channel bye

The answer is zero



4-4=0
13-(-7)=20
And since there is no number above the 20 it is zero

What is the expected value of the random variable with the given probability distribution? If necessary, round your answer to the nearest hundreth.

A) 0.62
B) 1.62
C) 3.70
D) 4.33

Answers

ANSWER: D)4.33




EX: 4.33

36x-2 + 34x+2 = 180 solve

Answers

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

Answer:

[tex]x = \frac{18}{7} [/tex]

1/4(z 3z) 7=−z 1 please help with this ive been stuck

Answers

Answer:

z=0

Step-by-step explanation:

if the equation was 1/4(3z)7=-1z

WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE

Answers

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]

iven: PA = PC and BA = BC. Use the diagram to find the length described.

Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?

pabc

AC is
cm in length.

Answers

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[tex]BA = BC = 12[/tex]

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[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

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Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?

Answers

Answer:

 17 rides

Step-by-step explanation:

30-8=22

22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17

75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answers

9514 1404 393

Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

Answer:

its 4 calories, A

Step-by-step explanation:

i just got it right on edge

a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal​

Answers

Answer:

Step-by-step explanation:

Given

A metal block has a mass = 60kg

volume = 0.5 meter cube

Solution

Density=masala volume

Density=60/0.5

Density of the metal=120kg/m^3

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