Which inequality shows all possible values for the measure of the third side, x, in inches?

 Which Inequality Shows All Possible Values For The Measure Of The Third Side, X, In Inches?

Answers

Answer 1

Answer:

[tex]26 > c > 58[/tex]

Step-by-step explanation:

Given

[tex]a,b =42; 16[/tex] --- 2 sides

Required

The inequality for the third side

To do this, we make use of:

[tex]a + b < c[/tex]

[tex]a + c < b[/tex]

[tex]b + c < a[/tex]

So, we have:

[tex]42 + 16 < c[/tex]

[tex]16 + c < 42[/tex]

[tex]42 + c < 16[/tex]

This gives:

[tex]58 < c[/tex]

[tex]c < 26[/tex]

[tex]c<-26[/tex]

The usable inequalities are:

[tex]c < 26[/tex] and [tex]58 < c[/tex]

Rewrite:

[tex]c < 26[/tex] and [tex]c > 58[/tex]

So, the inequality is:

[tex]26 > c > 58[/tex]


Related Questions

Do the ratios 8/ 5 and 11 /6 form a proportion?

Answers

Answer:

no they don't

hope this helps

have a good day :)

Step-by-step explanation:

1 Which set of ordered pairs does not represent a function?
1 {(1, 10), (3, 18), (5, 26), (7, 34), (9, 42)
2 {(2, 10), (3, 20), (4, 15), (5,5), (6,25)
3 {(0,8), (5,4), (10,0), (15, 4), (20,8)
4 {(9, 1), (6,2), (3, 3), (6,4), (9,5)}

Answers

2 bc the y values repeat

anyone know this? the box is just there when I have the answer so it's okay but I dont understand this anyone can help?​

Answers

9514 1404 393

Answer:

  1/10

Step-by-step explanation:

The product of fractions is the product of the numerators, divided by the product of the denominators.

  [tex]\dfrac{1}{2}\text{ of }\dfrac{1}{5}=\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{1\times1}{2\times5}=\boxed{\dfrac{1}{10}}[/tex]

__

Additional comment

When working with fractions and percentages, you will find that "of" often means "times."

What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
12
D 4 B
A. 3.1
O
B. 12
C. 6.9
O D. 4

Answers

Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω`*)

Answer: The answer is C. 6.9

Step-by-step explanation:

Describe & correct the error in writing the statement of the tangent ratio for the given figure

Answers

Answer:

Step-by-step explanation:

tan k=opposite /adjacent

tan k=32/24

The correct statement of the tangent ratio for the given figure is,

⇒ tan k = 32 / 24

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees

Given that;

A triangle is shown in figure.

Now, By figure of triangle;

tan k = Opposite / Base

tan k = 32 / 24

Thus, The correct statement of the tangent ratio for the given figure is,

⇒ tan k = 32 / 24

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

135 pencils were to be packed into boxes. Each box could take 12 pencils. find the number of boxes fully packed​

Answers

Answer:

11 boxes are packed fully

The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?
1) 0.0043
2) 0.0914
3) 0.0086
4) 0.0765
5) 0.0466

Answers

Answer:

2) 0.0914

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.

This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What would be the margin error for this confidence interval?

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]

[tex]M = 0.0914[/tex]

Thus the margin of error is 0.0914, option 2).

Liz earns a salary of $2,400 per month, plus a commission of 5% of her sales. She wants to earn at least
$2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your
variable represents. Enter the commission rate as a decimal.
+
s (select)
The inequality that represents the situation is
S = (select)

Answers

Answer:

2400 + (0.05X) = 2900

Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.

Step-by-step explanation:

Since Liz earns a salary of $ 2,400 per month, plus a commission of 5% of her sales, and she wants to earn at least  $ 2,900 this month, to find amounts of sales that will meet her goal, the following equation must be solved:

5/100 = 0.05

2400 + (0.05X) = 2900

0.05X = 2900 - 2400

0.05X = 500

X = 500 / 0.05

X = 10,000

Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.

What are the zeros of the quadratic function f(x) = 6x2 + 12x-7?

Answers

Answer:

[tex]f(x) = 6x ^{2} + 12x - 7 \\ x = \frac{ - 6 + \sqrt{78} }{6} \: , - \frac{ - 6 - \sqrt{78} }{6} [/tex]

Given:

The quadratic function is:

[tex]f(x)=6x^2+12x-7[/tex]

To find:

The zeros of the quadratic function.

Solution:

Quadratic formula: If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then zeros of the quadratic equation are:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have,

[tex]f(x)=6x^2+12x-7[/tex]

For zeros, [tex]f(x)=0[/tex].

[tex]6x^2+12x-7=0[/tex]

Here, [tex]a=6,b=12,c=-7[/tex]. Using quadratic formula, we get

[tex]x=\dfrac{-12\pm \sqrt{(12)^2-4(6)(-7)}}{2(6)}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{144+168}}{12}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{312}}{12}[/tex]

[tex]x=\dfrac{-12\pm 17.6635}{12}[/tex]

Now,

[tex]x=\dfrac{-12+17.6635}{12}[/tex] and [tex]x=\dfrac{-12-17.6635}{12}[/tex]

[tex]x=0.47195833...[/tex] and [tex]x=-2.47195833...[/tex]

[tex]x\approx 0.472[/tex] and [tex]x\approx -2.472[/tex]

Therefore, the zeros of the given quadratic function are 0.472 and -2.472.

8g=36 solve for the variable​

Answers

Answer:

g = 4.5

Step-by-step explanation:

8g = 36

g = 36/8

g = 4.5


Which is the simplified form of the expression

Answers

Answer:

4 / x¹⁴y⁸

Step-by-step explanation:

eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:

1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4

x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸

put it all together to get:

4÷(x¹⁴y⁸)

Identify a possible measure of the angle sketched in standard position
195 degrees
175 degrees
-195 degrees
-175 degrees

Answers

9514 1404 393

Answer:

  -195 degrees

Step-by-step explanation:

The angle is shown as being measured CW, so in the reverse of the positive direction. The angle's terminal ray seems to be above the -x axis, making its measure more than 180°. Of the choices offered, the best seems to be ...

  -195 degrees

Calculate the price relative

Answers

Answer:

146.3

Step-by-step explanation:

The price relative is the product of 100 and ratio of the current price to the base price. It is given as:

[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]

Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:

Price relative = ($39500 / $27000) * 100 = 146.3

Therefore the price relative is 146.3

I don’t know how to do this

Answers

Answer:

Alrighty, let me help.

Step-by-step explanation:

2 2/9 - 1 1/3 = x

X = 8/9

Answer = 8/9 or the 3rd option.

Answer:

8/9

Step-by-step explanation:

2 2/9 - 1  1/3

What the answer pls I suck at this just in the answer please thank you

Answers

Answer:

108 because the full measurements is 180

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

All angles in triangle add up to 180°.

180° - 72°= 108°

108°/ 2= 54°

What is the probability that the sun will be hot next hour

Answers

Answer:

100%

Step-by-step explanation:

its always very very hot.

Cho ánh xạ tuyến tính f : R^3 → R^3 và hai cơ sở của R^3 :
B ={b1=(1,3,3),b2=(-7,6,5),b3=(1,2,2)}
C= {c1=(2,-4,3),c2=(-5,-1,-5),c3=(1,0,1)}

Biết:
f b(1 ) ( -5,6,4) =

f b(2 ) ( -8,5,2) =

f b( 2) ( -9, -2, -5) =

a. Tìm ma trận A=[F]e3'= , từ đó suy ra biểu thức của f(x1,x2,x3)

Answers

Step-by-step explanation:

TUU-PQVH-MFG LINK for those who are interested in Paranormal and those who have doubt on Paranormal

This year, a small business had a total revenue of $18,700. If this is 15% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

Answer:

The business's total revenue the previous year was $22,000.

Step-by-step explanation:

Since the business's revenue is 15% less than it was the previous year, we can subtract that 15% from 100% to see what percentage of last year's revenue is the business getting now.

100% - 15% = 85%

So the business is getting 85% of what it got last year. We also know that this small business is getting $18,700 this year.

So really, this question is asking 18,700 is 85% of what?

Y = P% of WHAT?

18,700 = 85% of X

18,700 = 0.85 · X

Now that we have set this equation up, we solve for x. To get x alone, you must divide by 0.85 on both sides.

18,700 ÷ 0.85 = 0.85 · X ÷ 0.85

Simplified, this is 22,000 = X

So their total revenue the previous year was $22,000.

This is not the only way to do this - there are others, but this is one of the easiest to understand is more efficient.

Answer:

$21,505

Step-by-step explanation:

$18,700×115%=$18,700×115/100

=$21,505

how do you do this equation?

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

General point-slope form:

point = (x1,y1) = (1,4)

slope = m = 2

y-y1 = m(x-x1)

Substitute values

y - 4 = 2 (x-1)

y = 2x -2 + 4

y = 2x + 2

HELP ASAP I WILL GIVE BRAINLIST

Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person

Answers

Answer:

A: the function is 537(0.3x)

B: so we just plug in the numbers where x is that amount of years so

52 years from 1970 so 2022

537(1.56)

x=837.72

so the answer is 838

Hope This Helps!!!

The first term of a G.P are as follows: m, m2 +4, 16m. Find the 5th term.

Answers

Answer:

512

Step-by-step explanation:

To effectively answer the question, let us calculate the value of m. This can be obtained as follow:

m, (m² + 4), 16m

1st term (T₁) = m

2nd term (T₂) = m² + 4

3rd term (T₃) = 16m

Common ratio = T₂/T₁ = T₃/T₂

(m² + 4) / m = 16m / (m² + 4)

Cross multiply

(m² + 4)(m² + 4) = m × 16m

(m² + 4)² = 16m²

Take the square root of both side

√[(m² + 4)²] = √(16m²)

m² + 4 = 4m

Rearrange

m² – 4m + 4 = 0

Solving by Factorisation

m² – 2m – 2m + 4 = 0

m(m – 2) – 2(m – 2) = 0

(m – 2)(m – 2) = 0

(m – 2)² = 0

Take the square root of both side

m – 2 = 0

m = 2

Thus,

1st term (T₁) = m = 2

2nd term (T₂) = m² + 4 = 2² + 4 = 8

3rd term (T₃) = 16m = 16 × 2 = 32

The sequence => m, (m² + 4), 16m

Becomes

2, 8, 32

Finally, we shall determine the 5th term. This can be obtained as follow:

1st term (a) = 2

Common ratio (r) = 2nd / 1st = 8/2 = 4

5th term (T₅) =?

T₅ = ar⁴

T₅ = 2 × (4)⁴

T₅ = 2 × 256

T₅ = 512

Therefore, the 5th term is 512

Find the exact value of tan 60° in simplest form with a rational denominator.​

Answers

Step-by-step explanation:

We need to find the exact value of tan 60° in simplest form with a rational denominator.​

We know that, [tex]\tan\theta=\dfrac{\sin \theta}{\cos\theta}[/tex]

Here, [tex]\theta=60^{\circ}[/tex]

So,

[tex]\tan(60)=\dfrac{\sin (60)}{\cos(60)}\\\\=\dfrac{\dfrac{\sqrt3}{2}}{\dfrac{1}{2}}\\\\=1.73\\\\or\\\\=\dfrac{173}{100}[/tex]

Hence, this is the required solution.

On a particular day, the wind added 3 km per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 km per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 36.5 km with the wind, he could go only 24 km against the wind. To the nearest whole number, what is his normal bicycling speed with no wind?​

Answers

Answer:

31 km?

Step-by-step explanation:

Answer: a) 15 km/h

Step-by-step explanation: Trust me bro

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

the range of the functions is all real numbers less than or equal to 9

y = 2x - 14
x + y = 1​

Answers

X=5
Y=-4
Yup I think that’s correct

Find the z value to the right of the mean so that:________.
a. 54.78% of the area under the distribution curve lies to the left of it.
b. 69.85% of the area under the distribution curve lies to the left of it.
c. 88.10% of the area under the distribution curve lies to the left of it.

Answers

Answer:

a) z = 0.12

b) z = 0.52

c) z = 1.18

Step-by-step explanation:

The  z values is the area under the curve lying to its left

a) Hence, P (Z<z) = 0.5478

Taking the value of z from the standard normal table, we get -

z = 0.12

b) P (Z<z) = 0.6985

Taking the value of z from the standard normal table, we get -

z = 0.52

c) P (Z<z) = 0.8810

Taking the value of z from the standard normal table, we get -

z = 1.18

Multiply: –5 × (–3) × 7

Answers

Answer:

the ans is 105...........

Answer:

105

Step-by-step explanation:

-5*-3=15

15*7=105

this please help me ​

Answers

9514 1404 393

Answer:

  y = 2·3^x

Step-by-step explanation:

The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.

The multiplier is 2, and the base of the exponential factor is 3. That gives us ...

  y = 2(3^x)

Multiply. (3x - 2) (2x + 6)

Answers

Answer:

the answer is 6ײ+14x-12

$8.35
D $9.35
42. A museum announces that it has just
had its 1.326,871 visitor. What is the
value of the digit 6 in 1,326.871?
А
6.000
B
60.000
600.000
D 6.000.000

Answers

Answer:

6000

Step-by-step explanation:

The Value of 6 is in the thousands column

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