which of the following is the missing value in the table above?

By using the triangular inequality, we conclude that the other side must measure more than 3 inches and less than 13 inches.

Remember that the triangular inequality says that the sum of any two sides on a triangle is larger than the other side of the triangle.

If we define the missing side of the triangle as x, then we must have:

5 + x > 8

8 + x > 5

8 + 5 > x

From the third inequality we get the upper bound:

13 > x.

From the first inequality we get the lower bound:

x > 8 - 5 = 3

Then:

3 < x < 13

This means that the other side of the triangle must measure more than 3 inches and less than 13 inches.

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Answer:

D

Step-by-step explanation:

∠ A is the angle opposite side a

the sum of the 3 angles in the triangle = 180° , that is

∠ A + 75° + 35° = 180°

∠ A + 110° = 180° ( subtract 110° from both sides )

∠ A = 70°

By using the ratio, we will see that angle C measures 36° and angle D measures 54°.

First, two angles are complementary if the sum of their measures gives 90°.

So we have:

C + D = 90°.

Also, we know that the ratio of C to D is 2:3

This means that we can divide the 90° in 5 parts (3 + 2 = 5) such that 2 of these parts are angle C, and the remaining 3 are angle D.

90°/5 = 18°

C = 2*18° = 36°

D = 3*18° = 54°

These are the measures of the angles.

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Answer:

The area of the circle would be 530.93 sq ft.

Step-by-step explanation:

The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)

The value that could replace variable x in the table is (15 - m)8

The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.

From the table, the time to answer the whole multiple choice question is as follows:

total time = 3m

From the table, the total time taken to answer the free response question is as follows:

total time = (15 - m)8

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Answer: I believe it's C   8(15 - m)

Step-by-step explanation:

Answer:  the answer is x =4

Step-by-step explanation:  

Answer:

35     I did this before

Step-by-step explanation:

Answer: The surface area = 2040.

Step-by-step explanation: Have a great day!

Answer:

R 237.67  monthly

Step-by-step explanation:

Ordinary annuity  

PV = C [  1 - (1+i)^-n] / i

PV = 11000 - .08 (11000) = 10120

i= .06/12=.005       n = 4 yrs x 12months =48

Plug in the numbers and calculate 'C'  = 237.67

Answer:

10.4 cm

Step-by-step explanation:

Formula used :

Volume (cone) = 1/3πr²h

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

Given :

⇒ Volume = 700 cm³

⇒ Radius = 8 cm

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

Solving :

⇒ 700 = 1/3 × π × 8² × h

⇒ 700 = 64π/3 × h

⇒ h = 700 × 3 / 64π

⇒ h = 2100/64π

⇒ h = 10.4 cm (rounded to 1 decimal place)

Answer:

Answer:

the solution is 2/3 hours.

Step-by-step explanation:

"An experienced shipping clerk, Lisa can fill a particular order in 2 hours. bill, a new clerk, needs 3 hours to do the same job. working together,"

Answer:

Step-by-step explanation:

The coordinate plane is also called a Cartesian Plane. Function. A function is a relationship where there is only one output for every input. In other words, for every value of x, there is only one value for y.

Does this help?

Answer:

It is NOT a function.

Step-by-step explanation:

It does not pass the vertical line test. A vertical line can touch the graph in more than one point.

To be a function, every x can have only one y value. On this graph almost every single x has two y's. For example when x is -6, the y is 2 and also 8. Not a function.

Step-by-step explanation:

profit amount=150000-120000

profit amount=30000

profit %= profit amount/cost price*100

therefore profit percent=30000/120000*100

there for profit %=25%

The percentage of profit will be equal to 25%

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

The profit percentage will be calculated as:-

Profit amount =  150000-120000

Profit amount  =  30000

Profit %= profit amount/cost price*100

Profit percent=30000/120000*100

Profit percentage = 25%

Therefore the percentage of profit will be equal to 25%

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Answer: 64

Step-by-step explanation:

u = 56 * 8 / 7 = 64

The ratio of adults to children at a party is 3:5. There are 72 people at the party. Find out number of children.

In this question we are provided with the ratio of adult and children 3 : 5 respectively. It is given that 72 people are there at the party. We are asked to calculate number of children.

We are asked to calculate number of children

Let us assume number of adults and children as 3x and 5x

It is given that total number of people are 72.

According To Question

3x + 5x = 72

→ 8x = 72

→ x = 72/8 = 9

x = 9

Adults = 3x = 3 × 9 = 27 people

Children = 5x = 5 × 9 = 45 people

Let's solve this problem step-by-step:

  ⇒ with our knowledge of PEMDAS

     ⇒ (look at the image attached)

Let's solve:

              [tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]

              [tex]\frac{9}{-3}+4=-3+4[/tex]

             [tex]-3+4=1[/tex]

Answer: 1

Hope that helps!

Answer:

10%

Step-by-step explanation:

1. Convert 2 hours to minutes

            2(60) = 120 min.

2.Calculate the percentage

[tex](\frac{12}{120} )(100)=10[/tex]

12 minutes is 10% of 2 hours

Hope this helps

The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

⇒ (3 x 10⁻⁸) / (10⁴)

⇒ 3 x 10⁻⁸ x 10⁻⁴

⇒ 3 x 10⁻⁸⁻⁴

⇒ 3 x 10⁻¹²

Then the correct option is D.

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Answer:

27,032 Rupees

Step-by-step explanation:

$1.09 x 400 = $436

$436 x 62 = 27,032

(Hope this helps and that it's not wrong ^-^)

Answer:

Probably Stimulus discrimination.

Step-by-step explanation:

[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Given following:

Solve for b (distance between school and mall):

[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]

[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]

[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]

The value of x in the right triangle is 21.4

To solve for x, we use the following sine function

Sin(angle) = Opposite/Hypotenuse

So, we have:

sin(31) = 11/x

Make x the subject

x = 11/sin(31)

Evaluate

x = 21.4

Hence, the value of x is 21.4

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A ratio shows us the number of times a number contains another number. Caitlin is right.

A ratio shows us the number of times a number contains another number.

The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,

M/S = 2/5

M = 2S/5

After 8 years, their ages will be in the ratio 1:2, therefore,

(M+8)/(S+8) = 1/2

2M + 16 = S + 8

2M - S = -16 + 8

Substitute the value of M,

2(2S/5) - S = -8

-0.2S = -8

S = 40

Now, if we substitute the value of S in the first ratio,

M/S = 2/5

M/40 = 2/5

M = 16

Now, if we take the difference in their ages the difference will be 24(40-16).

Since the difference is 24, we can conclude that Caitlin is right.

Hence, Caitlin is right.

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Step-by-step explanation:

Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.

while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.

here 3 remarks.

first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.

and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.

and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.

I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).

The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-

[tex]tan\theta=\dfrac{P}{B}[/tex]

[tex]tan\theta=\dfrac{70}{230}[/tex]

[tex]\theta=tan^{-1} (\dfrac{70}{230})[/tex]

[tex]\theta[/tex] = tan[tex].^{-1}[/tex](0.3043)

[tex]\theta[/tex]  = 16.9

Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.

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The set of ordered pair that has point symmetry in respect to origin is (5, 4), (-5, -4).

This is a term that is used to refer to the points that are on the same distance from the origin but are on opposite sides.

The line that connects the points are known to move through the origin such that when measured on the graph, the distances between these points but they are opposite because they are in negatives and positives on the two sides.

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Answer:

the answer is (5,4),(-5,4)

Step-by-step explanation:

Answer:

B. 75%

Step-by-step explanation:

If about a quarter ( 25% ) do like non-fiction, then we know that the rest do not prefer it ( 75% )

75 + 25 = 100

Answer:

405

Step-by-step explanation:

So he built 5/9 of the wall, than added the extra 180 bricks to finish the wall.

so 5/9 + 180 = 9/9

so 180 = 4/9 Because 5/9 + 4/9 = 9/9

So to figure out how many bricks are in the wall we want to know what 1/9 of bricks equals and to work this out we need to divide 180 by 4

which equals 45.

Now we know that 1/9 = 45

so now to figure out what 9/9 is just multiply 45 by 9 which equals 405

Answer:

405 bricks in total

Step-by-step explanation:

1 - 5/9 = 4/9

So 4/9 of the bricks are remaining, and "the last 180 bricks" is equal to 4/9

Using ratio method:

4/9 : 180

5/9 : x

x = 180 × 5/9 ÷ 4/9

x = 225

So 180 + 225 = 405 bricks in total

The expression that correctly shows the total of steps Eric needs to walk is y = -6,000x + 24,000.

Based on this the best expression is

or the missing steps are equal to the number of days multiplied by the steps per day and subtracted to the total steps.

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Answer:

(-2, 4)

Step-by-step explanation:

Hello!

There are two solutions for this system, which can be found by looking at the intersections of the two graphs.

The first intersection is at point (-2, 4), and the second one is at point (4, -3).

Since the second option is not a given option, it is the last option (-2, 4).