Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. c 22 and 15 Answer: < 3rd side

Answers

Answer 1

Answer:

| a - b | < length of third side < a + b

Step-by-step explanation:

Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below [tex]180^o[/tex] (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:

length of third side < a + b

In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:

length third side > | a - b|

These are the two extreme cases, and the length of the third side must be within these limits.

Answer 2

Answer:

7<x<37

Step-by-step explanation:

Here is the formula to solve range questions:

22-15<x<22+15


Related Questions

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Answers

Answer:

(a) y=8x-46

(b) 8x-y=46

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

if 2x+1/4 = 12/20 what is the value of x

Answers

Answer:

7/10 or 0.7

Step-by-step explanation:

cross multiply to get 40x+20=48

subtract 20 from both sides to get 40x=28

divide both sides by 40 to get 7/10

HOPE THIS HELPS!!!:)

Answer:

0.7 or 7/10

Step-by-step explanation:

Step 1: Cross-multiply.

2x+1  / 4  =  12 /20

(2x+1)*(20)=(12)*(4)

40x+20=48

Step 2: Subtract 20 from both sides.

40x+20−20=48−20

40x=28

Step 3: Divide both sides by 40.

40x /40  =  28 /40

x= 7 /10

Answer:

x= 7 /10

7/10 = 0.7

ASAP!! can someone help solve these and include work

Answers

Answer:

Below

Step-by-step explanation:

The triangle ABC is a right triangle so we will use the Pythagorian theorem

c^2 =5^2 + 8^2

c^2 = 25 + 64

c^2 = 89

c = 9.43

We khow that the sum of a triangle's angles is 180°

So B+90+58= 180

B+ 148 = 180

B = 180-148

B = 32°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Tan A = opposite/ adjacent

Tan A = 5/12

I agree with what they said

What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.

A. 8.1
B. 9.1
C. 23
D. 3

Answers

Answer:

A - 8.1

Step-by-step explanation:

This is an example of similar shapes.

The length of MO is 18, and PO is 5.

So length of MP is 13. (18 - 5)

We need to separate this large triangle into 2 triangles:

Triangle NMP Triangle NPO

In problems including similar shapes, our unknown needs to be on top of the fraction in an equation.

NP (h) /

[tex]{\frac{NP}{MP}[/tex]  = [tex]\frac{PO}{NP}[/tex]    

[tex]\frac{h}{13}[/tex] = [tex]\frac{5}{h}[/tex]

Cross multiply

h² = 65

h = √65

h = 8.06

h = 8.1 (rounded)

Drawn out explanation below.

Hope this has answered your question.

Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one person in an accident. The 20 means it will pay a minimum of $20,000 total to people injured in one accident. The 20 means it will pay a maximum of $20,000 total to people injured in one accident. The 5 means that it will pay a maximum of $5,000 in property damage for one accident. The 5 means that it will pay a minimum of $5000 in property damage for one accident. PLEASE HURRY

Answers

Answer:

10 -- $10k to any one person20 -- $20k to all persons, total5 -- $5k for property damage

  all are maximum values

Step-by-step explanation:

Insurance contracts specify maximum payments, not minimum payments. The numbers mean ...

The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

The 20 means it will pay a maximum of $20,000 total to people injured in one accident.

The 5 means that it will pay a maximum of $5,000 in property damage for one accident.

PLZ ANSWER, I NEED TO KNOW!!!!!

Answers

Answer:12 3/20

Step-by-step explanation:

Triangle ABC is described below. Find all possible values for B, C, and c.
A= 121.59, a = 27.9 cm, b = 52.6 cm
Apply the rules regarding the use of significant digits to each angle and
length after all computations are complete.

Answers

Answer:

c = 27.9

B = 62.13°

C = 89.90°

Step-by-step explanation:

We are given the following values:

A= 121.59°, a = 27.9 cm, b = 52.6 cm

a) Finding side c

We would use Pythagoras Theorem

c² = a² + b²

c = √(a² + b²)

c = √(27.9² + 52.6²)

c = 59.54cm

≈ Approximately = 59.5cm

b) Finding B

We would be using Cosine rule to find Angle B

Cos B = a² + b² - c²/2ab

B = arc cos ( a² + c² - b²/2ac)

B = arc cos( 27.9² + 59.5² - 52.6²/ 2 × 27.9 × 59.5)

B = 62.13268°

B = 62.13°

c) Finding C

We would be using Cosine rule to find Angle C

Cos C = a² + b² - c²/2ab

C = arc cos ( a² + b² - c²/2ab)

C = arc cos( 27.9² + 52.6² - 59.5²/ 2 × 27.9 × 52.6)

C = 89.9°

heeeeeeeeeeeeeeeeelp

Answers

Answer:

A no-doest pass the vertical line test

Step-by-step explanation:

the vertical line test is a test saying any line is functional if when several vertical lines are drawn, the function does not pass through any line more than once

hope this helps:)!

Find m∠QPR..........

Answers

Hey there! :)

Answer:

m∠QPR = 25°.

Step-by-step explanation:

Given:

m∠QPS = 40°

m∠RPS = 8x + 7°

m∠QPR = 9x + 16°

m∠QPS = m∠RPS + m∠QPR, therefore:

40° = 8x + 7° + 9x + 16°

Combine like terms:

40° = 17x + 23°

Subtract 23° from both sides:

17° = 17x°

Divide both sides by 17:

x = 1°

If m∠QPR = 9x + 16°, substitute in 1 for 'x':

9(1) + 16 = 9 + 16 = 25°.

We need to find the value of x.

If R is on the interior of of <QPS, then m<QPR + m<RPS = m<QPS.

Now substitute the measures into the equation.

9x + 16 + 8x + 7 = 40.

Now combine like terms to get 17x + 23 = 40.

Now subtract 23 form both sides to get 17x = 17.

Now divide both sides by 17 to find that x = 1.

Now to find m<QPR which measures 9x + 16°, we can substitute in a 1.

So we have 9(1) + 16 which is 25.

So m<QPR is 25°.

What is 21 multiplied by 80

Answers

Answer:

1680

Step-by-step explanation:

you can use a calculator or do the normal operation

The answer is 1680 it helps to take away the zero from the 80 and multiple 21x8 which is 168 and then you add the zero we took away earlier at the end of 168.

Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?

Answers

Answer:

It's not a real solution

Step-by-step explanation:

There’s no statements

If cos x=−6/7, and 90°

Answers

Answer: 0.4693877

Step-by-step explanation:

Given that:

cos x=−6/7,

From trigonometry :

Cosx + sinx = 1

Cos2x = cos(x + x)

Recall the double angle identity:

Cos2x = 2cos^2x - 1

Sin2x = 1 - 2sin^2x

Since cosx = - 6/7

Then

Cos2x = 2cos^2x - 1

Cos2x = 2cosx^2 - 1

Cos2x = 2(-6/7)^2 - 1

Cos2x = 2(36/49) - 1

Cos2x = 2 * (72/98) - 1

Cos2x = (2 * 0.7346938) - 1

Cos 2x = ( 1.4693877 - 1)

Cos2x = 0.4693877

100 POINTS!!! Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units (3, -1) and (5, 4) (2, 3) and (4, 5) (-5, 7) and (8, 5) (-2, 4) and (3, -1)

Answers

Answer:

(3, -1) -> (5, 4) = √29 or 5.38516

(2, 3) -> (4, 5) = 2√2 or 2.82843

(-5, 7) -> (8, 5) = √173 or 13.1529

(-2, 4) -> (3, -1) = 5√2 or 7.07107

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug the coordinates into the distance formula:

[tex]d=\sqrt{(5-3)^2+(4+1)^2} = \sqrt{29}[/tex]

[tex]d=\sqrt{(4-2)^2+(5-3)^2} = 2\sqrt{2}[/tex]

[tex]d=\sqrt{(8+5)^2+(5-7)^2} = \sqrt{173}[/tex]

[tex]d=\sqrt{(3+2)^2+(-1-4)^2} = 5\sqrt{2}[/tex]

To get the decimals, we evaluate the square roots:

√29 = 5.38516

2√2 = 2.82843

√173 = 13.1529

5√2 = 7.07107

Answer:

d = √[(x₂ - x₁)² + (y₂-y₁)²]

(3, -1) and (5, 4)

√(5−3)²+(4-(-1)²

√(2)²+(5)²

√4+25

√29 = 5.385164807134504 = 5.39

(2,3) and (4,5)

√(4-2)v+(5−3)²

√(2)²+(2)²

√4+4

√8 ≈2.8284271247461903 = 2.83

(-5, 7) and (8,5)

√(8−−5)²+(5−7)²

√(8++0)2+(5−7)²

√(13)²+(−2)²

√169+4

√173 ≈ 13.152946437965905 = 13.15

(-2, 4) and (3, -1)

(3− −2)²+(−1−4)²

√(3++0)²+(−1−4)²

√(5)² + (−5)²

√25+25

√50 ≈ 7.0710678118654755 = 7.07

help me please it will save my life​

Answers

Answer: 197

Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that

The correct answer would be 197

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.

Answers

Answer:

This question contains some errors; the correct question is:

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.

The answer is:

(2n) slices of bread for n hikers

Step-by-step explanation:

According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.

Each hiker gets one sandwich

This, n hikers will get n× 1 sandwich

= (n) sandwiches.

If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:

(2 × n) slices of bread

That is, (2n) slices of bread.

The expression is (2n).

is 12/4 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

The improper fraction 12/4 is a rational number. It is equivalent to the whole number 3, which is an integer.

It’s Rational
Cuz it’s right just trust me bro

PLEASE HELP! WILL MARK BRAINLIEST!! 13 POINTS!
There are two points on the circle A and B. Each point has a light which is switched on. Bob starts at the point A and moves on the circle. Each time when he reaches to a point A or B he does the following: 1. If he is on A and the light on B is switched on then he changes the light on A (if it is switched off then he switches on, and vice-versa), 2. If he is on A and the light on B is switched off then he doesn't change the light on A. 3. If he is on B and the light on A is switched on then he changes the light on B (if it is switched off then he switches on, and vice-versa), 4. If he is on B and the light on A is switched off then he doesn't change the light on B. Bob starts from the point A (first step). What will be the position of lights after the 107th step.
(A) A and B are switched on
(B) A is switched on and B is switched off
(C) A is switched off and B is switched on
(D) A and B are switched off

Answers

Answer:

A will be switched off and B will be switched on.

Step-by-step explanation:

Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.

107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.

Answer:

B

Step-by-step explanation:

Trust me :)

A bag has 7 red balls and 9 green balls. What is the probability that two balls picked randomly are both the same color?

Answers

Answer:

25%

Step-by-step explanation:

this isnt right

Answer:

25%

Step-by-step explanation:

Simplify the expression 4(2x - 3)

Answers

The answer is 8x-12 you multiply 4*2x and multiply 4*-3

Answer:

8x - 12

Step-by-step explanation:

4(2x - 3)  (use distributive property, see attached)

= (2x)(4) - 3(4)

= 8x - 12

Match each solution to the equation it solves.

Answers

Hi there! Hopefully this helps!

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

Answer to the first equation: 3.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the second equation: 7

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the third equation: -2.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the fourth equation: -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

3

7

-2

-3

Step-by-step explanation:

in that exact order

Sid is packing crushed ice into a cone-shaped cup. The cone has a height of 5 in. Its base has a diameter of 4 in. What is the volume of the cone? StartFraction 20 Over 3 EndFraction pi inches cubed 20 pi inches cubed StartFraction 80 Over 3 EndFraction pi inches cubed 80 pi inches cubed

Answers

Answer:

20 over 3 pi inches cubed

Step-by-step explanation:

The formula for the volume of a cone is 1/3πr² · h

1. Set up the equation

1/3π2² · 5

2. Solve

1/3π(4)(5)

20/3π in.³

Answer:

20 over 3 pi inches cubed

Step-by-step explanation:

height - 5 in

diameter - 4 in

radius - 2 in (half of diameter)

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

V = [tex]\pi (2)^{2} \frac{5}{3}[/tex]

V = [tex]\pi (4)\frac{5}{3}[/tex]

V = [tex]\pi (\frac{20}{3} )[/tex]

V = [tex]\frac{20}{3} \pi[/tex] in³

The volume of the cone is 20 over 3 pi inches cubed.

Hope that helps.

6x-15=6x+15 Please solve this equation! I will put the brainliest, if its right answer

Answers

Answer:

No solution.

Step-by-step explanation:

[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]

There is no solution to the equation.

Ice cream bars come in a container that cost $3.12 for 6. What is the unit rate for the ice cream bars

Answers

The answer is each bar costs $0.52

Answer:

$1.92

Step-by-step explanation:

The equation would be 6/3.12

that equals 1.92.

The histogram represents the distributions of boiling

temperatures, in degrees Celsius, of tap water and a

mixture of salt water.

Boiling Temperatures

10

9

8

7

6

Number

of

Trials

5

-Tap Water

Salt Water

4 3

N

1

0

98°C

99 C 100C 101 102 103 104°C

Temperature (°C)

Answers

Answer:

The mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.

Step-by-step explanation:

The complete question is attached below.

From the provided data it can be seen that the distributions of boiling  temperatures, in degrees Celsius, of both tap water and a  mixture of salt water are approximately symmetric.

It is known that, for a symmetric distribution,

Mean = Median = Mode

The median for the two distributions are:

Median (Tap water) = 100°C

Median (Mixture of salt water) = 102°C

Then the mean for the two distributions would be:

Mean (Tap water) = 100°C

Mean (Mixture of salt water) = 102°C

So, the mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.

Answer: It's B :)

Step-by-step explanation:

Which of the following equations have exactly one solution? Choose all answers that apply:
A -13x+12=13x+13
B -13x+12=13x-13
C 12x+12=13x+12
D 12x+12=13x-12
I need correct answer and description, so I can put Brainliest

Answers

Answer:

a

b

c

d

Step-by-step explanation:

Well lets look,

a)

If both slopes are different and have different y intercepts they have 1 solution.

So a has 1 solution

b)

Both slopes are different with different y intercepts.

1 solution

c)

Both slopes are different with different y intercepts

1 solution

d)

Different slopes different y intercepts

1 solution.

For proof look at the images below.

Thus,

the answer is a,b,c, and d.

Hope this helps :)

Which of the following graphs represents a function that has a positive
leading coefficient? Check all that apply.

A. Graph A
B. Graph B
C. Graph C
D. Graph D​

Answers

Answer:

B and C

Step-by-step explanation:

They have a positive slope

Answer:

It is B,C, and D. I got it wrong for this :,)

Please help me with this geometry question:((

Answers

Answer:

(x + 3.5 ) / (x - 4 )  = 20 / 8

8x + 28 = 20x -80

12x = 108

x = 9

Step-by-step explanation:

Your answer would be x=9

Find the area of the following shape.

Answers

Answer:8

Step-by-step explanation:

Answer:

How do you figure 8?

A=1/2(L*W) triangle but what is the work?

How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?


How many gallons of 15% alcohol should be in the mixture? _____ gal

Answers

Answer:

Step-by-step explanation:

Refer https://brainly.com/question/17122506

Simplify
(5/7)a²+13-(5/7)a-3​

Answers

Answer:

c

Step-by-step explanation:

combine like terms:

5/7a^2+-5/7a+10

HOPE THIS HELPS!!!!!!:)

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