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Given a prism with a right triangle base and the dimensions and what is a correct expression for the volume of the prism?

[tex]\large\boxed {Formula:Profit\% = \frac{(SP - CP)}{CP} \times 100}[/tex]

First, we'll have to deduct the cost price (350) from the selling price (400).

[tex]400 - 350[/tex]

[tex] = 50[/tex]

Now, we'll have to divide the deducted amount (50) by the cost price (350) and multiply by 100.

[tex] \frac{50}{350} \times 100[/tex]

[tex] = 14.28571429 \: \%[/tex]

= 14.3%

Hence, the profit is 14.3%

400-350/350*100

=14.3%

The 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.

Let's suppose the number of admission of adults is x and for youth is y, then,

x + y = 209 ...(1)

8x + 4.50y = 1304.5 ...(2)

After solving the above two linear equation, we get:

x = 104

y = 105

Thus, the 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

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Answer:

7

Step-by-step explanation:

2r + 1

Let r = 3

2(3)+1

6+1

7

Step-by-step explanation:

We have,

[tex]\sf 2r+1[/tex]

Put the value of r,

[tex]\longmapsto \sf 2(3)+1[/tex]

[tex]\longmapsto \sf 6+1[/tex]

[tex]\longmapsto \sf 7[/tex]

Answer:

Step-by-step explanation:

Remark

You need to choose between tan(30) and tan(60). Tan(60) = √3 which has a rational denominator (1).

Tan(60) = opposite / adjacent

Tan(60) = √3

Given

opposite = x

adjacent = 4

Theta = 60

Tan(theta) = √3

Solution

Tan(theta) = opposite / adjacent       Substitute values

√3 = x / 4                                            Multiply both sides by 4

4√3 = x

Answer

x = 4√3

up 1 over +2 if your cords are (-4,2) and (5,6)

Part A

Reason:

The range, IQR, and the standard deviation are all measures of spread.

IQR stands for Interquartile Range. Unfortunately your teacher made a typo and wrote IRQ by mistake.

The symbol [tex]\sigma[/tex] is the greek letter sigma used to represent the population standard deviation.

The smaller these measures are, the more less spread out the values will be. This leads to the most consistent data set. Think of it like being on an archery range. The more consistent shots are closely clustered around the same point (not necessarily the center), while the less consistent shots are more randomly scattered about.

School B has the smallest range, IQR, and standard deviation of the three schools. Therefore, this school has the most consistent attendance.

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

Part B

Reason:

This school has the highest mean, and also the largest median, of all three schools. Both of these are measures of center or average. Compared to school B, this data set is a bit more spread out and not as consistent.

Answer:

The blank on the top is 0.31 because that is what you multiply 80 by

The blank in the middle is 24.8 because that's what you get when you multiply 80 by 0.31

The blank on the bottom is 0.31 because that is what you multiply 80 by

Step-by-step explanation:

Use proportions to solve

80/100 = x / 31

80*31 = 100x

2480 = 100x

x = 24.8

Answer:

0

Step-by-step explanation:

4x²=36

=> 4x²+0x-36=0

if we look at the standard form

before the x is b I the standard form and in the question 0 is before the x because their isn't an x. this makes a= 4, b=0 and c=-36

Answer:

254.5 ft^3

Step-by-step explanation:

The volume of a cylinder is the area of the base times its height. To find the area of the base, since it is a circle, you would use the area formula of a circle([tex]\pi r^{2}[/tex] where r is the radius). So, the circle would have an area of 81 π. Now, multiplying this by the height, you get the volume. Since the height is just 1, the volume would be 81π which is 254.469004941. This rounded to the nearest tenth is 254.5.

Given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

First we determine the radius of the circular base.

Since circumference C = 2πr then r = C / 2π.

Hence, the volume of the cylinderical tree stump will be;

V = π × (C / 2π)² × h

V = π × ( C² / 4π² ) × h

V =  hC² / 4π

4πV = hC²

h = 4πV / C²

We substitute our given values into the expression

h = ( 4 × 3.14 × 20214in³ ) / (84in)²

h = 253887.84in³ / 7056in²

h = 36.0in

Therefore, given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

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Answer:

3

Step-by-step explanation:

VERIFED PEOPLE ARE WORNG!

Answer:

x = -2

Step-by-step explanation:

Domain of definition

[tex]\sqrt{-x-2}[/tex]

=> -x - 2 >= 0

=> x <= -2

When x = -2 f(x) gets real outputs

Answer:

C

Step-by-step explanation:

she wants to get information about the behavior of registered voters, but she surveys newspaper subscribers.

we have no clue, if they are registered voters.

if they are not, then the information does not apply.

if they are a mixture, then the survey mixed apples and oranges and does not provide usable information.

only if they all are also registered voters (which we don't know), this would provide some useful information.

but even in that last case I have to say she would have gotten information only about voters reading a specific newspaper. this particular newspaper might be one with especially short or long political commentaries. for better results the demographic sample population should cover multiple newspapers, or be newspaper independent (by picking the sample from voters registration lists instead of newspaper subscription lists).

Answer:

a + (-c),  b,  c - (-b)

Step-by-step explanation:

First, identify the values of each point.

a = -1

b = 2

c = 3

Now, we can solve for the problems listed below the number line. We already know b = 2, so we don't need to solve for that one.

c - (-b) = 3 - (-2)

3 - (-2) = 3 + 2

= 5

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

a + (-c) = -1 + (-3)

-1 + (-3) = -1 -3

= -4

Now we can list the choices in order from least to greatest.

-4, 2, 5

aka; a + (-c),  b,  c - (-b)

hope this helps!

Answer:

Perimeter = 90

Step-by-step explanation:

We're going to start with HI and go around the circle (and triangle, clockwise) see image. HI is 11. From H to G, then also has to be 11.

Subtract 26 - 11 to find LG. LG is 15.

If LG is 15, then LK is also 15. Subtract 34 - 15 to find JK.

JK is 19, so JI is also 19.

Two sides of the triangle are 34 and 26. The other side is 19+11=30.

Perimeter = 34+26+30

= 90

[tex]~~~~~~~~\text{Perimeter of square} = 144\\\\\implies 4 \times \text{Side} = 144\\\\\implies \text{Side} = \dfrac{144}4\\\\\implies \text{Side} = 36\\\\\text{Hence the length of each side is 36 units.}[/tex]

Answer:

36

Step-by-step explanation:

In a Square,

perimeter (p) = 144

Length of side (L) = ?

we know,

p=4*L

144 = 4 *L

L = 144/4

L = 36

Since, All side of Square are equal . so,the length of each side is 36.

Note : you hadn't give unit in your question .

Answer:

=29 in³

Step-by-step explanation:

Volume of a cone = 1/3×π×2³×11

= 29 1/3 in³

= 29 in³ (to the nearest whole number)

Answer:

Answer c

Mark brainliest :)

Answer:

9

Step-by-step explanation:

it is the odd one out, also because it is spread away from the other data points

Answer:

segment BF

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

Answer:

                Area = 67.5 m²

        Perimeter = 69 m

Step-by-step explanation:

   b = 27 m  & h = 5 m

     [tex]\sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}bh$}}[/tex]

                                   [tex]\sf = \dfrac{1}{2}*27*5\\\\ =\dfrac{135}{2}\\\\= 67.5 \ m^2[/tex]

       Perimeter = sum of all sides

                         = 27 + 34 + 8

                         = 69 m

Answer: The two ratios that are equivalent to 4:18 include 2:9 and 8:36

Step-by-step explanation:

To be able to solve this question, we've to simplify the given ratio. Therefore, 4:18 will be reduced to the lowest term and this will be:

= 4/18 = 2/9

Also, when 4/18 is multiplied by 2 for both the numerator and denominator, the value will be:

= 4×2/18×2

= 8/36

Therefore, the correct options will be B(2:9) and E(8:36).

it is easy.....

first, convert this ratio into a fraction

4 : 18 = 4/18

now , equivalent fractions

= 4 = 4 × 2 , 4 × 3

18 = 18 × 2 ,18 × 3

now answer

= 4/18 , 8/36 , 12/54

again covert into ratio

= 4:18 , 8:36 , 12:54

36 and 2 are (the GCF and the LCM)

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

36

Find the prime factors of each term to find the greatest common factor (GCF).

2

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Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

The equation is given as follows:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

In which l is the length of the pendulum.

In this problem, we have that [tex]f(l) = 2.4\pi[/tex], hence:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

[tex]2.4\pi = 2\pi\frac{l}{32}[/tex]

l = 32 x 1.2

l = 38.4 ft.

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Answer:

c

Step-by-step explanation:

just did it

Answer:

Step-by-step explanation:

Answer to first question = her mistake was that she wrote the constant to be 10 whereas the constant is actually -10 once you rearrange the equation to look like a quadratic equation.

Quadratic equations are written in form of ax^2 + bx + c = 0

You are given x^2 + 3x = 10, first you need to bring the constant c (10) to the left side (by subtracting 10 on both sides).

x^2 + 3x - 10 = 0

c = -10

Answer to second part:

x = 2, -5