what is the volume and surface area of each prism .. help me plss

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

pentagon has the sum of interior angles as 540

Step-by-step explanation:

i hope this will help you :)

Answer:

pentagon

Step-by-step explanation:

The sum of the interior angles of a triangle (in a plane) is 180°, the sum of the interior angles of a quadrilateral is 360°, the sum of the interior angles of a pentagon is 540°, the sum of the interior angles of a hexagon is 720°, and in general, the sum of the interior angles of an n-gon (a polygon with n sides) is 180°× (n-2).

JUST SOME EXTRA POINT YK

The cafeteria made 476 mushroom pizzas, last Friday.

As we know that the percentage is defined as a ratio expressed as a fraction of 100.

If 85% of the pizzas were mushroom pizzas, then the remaining 15% must be pepperoni pizzas.

Let's first calculate the total number of pepperoni pizzas made:

15% of 560 = 0.15 x 560 = 84

So, the cafeteria made 84 pepperoni pizzas.

To determine the number of mushroom pizzas, we can subtract the number of pepperoni pizzas from the total number of pizzas:

560 - 84 = 476

Therefore, the cafeteria made 476 mushroom pizzas.

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The expression is to be written in complete square method and the value will be equal to  (x + 5/2)² + 7/4.

The expression x² + 5x + 8 is a quadratic polynomial and a quadratic polynomial is one which can be written in the form ax² + bx + c; where a, b and c are constant values and x is the independent variable. Now in order to write the expression by using completing square method we write the polynomial as

x² + 5x + 8

We divide the coefficient of x that is 5 by 2 so we get

x² + (5/2)x + 8

Now, we add and subtract the square of coefficient of x that is 5/2 so we get

x² + (5/2)x + 8 + (5/2)² - (5/2)²

From the above expression we get

(x + 5/2)² + 8 - 25/4

(x + 5/2)² + (32 - 25)/4

(x + 5/2)² + 7/4

Thus we have written the expression in the form (x + p)² + q as (x + 5/2)² + 7/4.

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Answer:

812/1037

Step-by-step explanation:

To solve this, we have to use trigonometric identities.

Cos (A + B) is given as Cos A Cos B - Sin A Sin B. And from the question, we have that

Tan A = 8/15.

We know that in a triangle, the Tan angle is represented Opp/Adj and thus the Opp is 8, and the Adj is 15. Using Pythagoras, we have

hyp² = opp² + adj²

hyp² = 8² + 15²

hyp² = 64 + 225

hyp² = 289

hyp = √289 = 17

The identity of Cos is Adj/Hyp and that of Sin is Opp/Hyp.

Cos A = 15/17

Sin A = 8/17

Repeating the same process for B, we have

Sin B = 11/61

adj² = hyp² - opp²

adj² = 61² - 11²

adj² = 3721 - 121

adj² = 3600

adj = √3600 = 60

Cos B = 60/61

Now, using the earlier stated trigonometric identity, we have

cos (a + b) = CosA CosB - SinA SinB

cos (a + b) = 15/17 * 60/61 - 8/17 * 11/61

cos (a + b) = 900/1037 - 88/1037

cos (a + b) = 812/1037

Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.

Answer:

1)

\(v = \frac{4}{3} \pi( {1080}^{3} ) \)

\(v = (1.259712 \times {1000}^{3} )\pi\)

2)

\(v = \frac{4}{3} \pi( {1640}^{3} )\)

\(v = (5.881258667 \times {1000}^{3} )\pi\)

3) (answer is #4)

\( \frac{ \frac{4}{3} \pi( {1640}^{3} )}{ \frac{4}{3}\pi( {1080}^{3} ) } = 3.5\)

Answer:he team advisor randomly chooses 4 students to debate in the next competition. How many different ways can a team that includes Joseph, Malena, Carlos, and Abby be chosen? ... If two angles are congruent, then they are vertical angles.

Step-by-step explanation:

The percent sign is already taken care of, so you'll just input the numeric part only to fill in the green box.

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

Explanation:

Focus on the first row only. This is because we are 100% certain that the person ordered a hot beverage based on the keyword "given".

There are A = 22 who ordered a large hot drink out of B = 5+48+22 = 75 who ordered a hot beverage.

The probability we're after is therefore A/B = 22/75 = 0.29 = 29% approximately.

Answer:

\(\boxed{\sf x=2}\)

Step-by-step explanation:

\(\sf 2x+5=9\)

Subtract 5 from both sides.

Divide both sides by 2.

__________________

Answer:

x =2

Step-by-step explanation:

2x+5 =9

Subtract 5 from each side

2x+5-5 = 9-5

2x =4

Divide by 2

2x/2 =4/2

x =2

We have: 7 = 2 × 3 + 1

Answer: 3

Ok done. Thank to me :>

The  \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

A quantity or phenomenon with separate characteristics for both magnitude and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, energy, electromagnetic fields, and weight are a few examples of vectors in nature.

Two vectors are orthogonal if and only if their dot product is zero. Therefore, we need to find the value of k such that the dot product of \($\vec{a}$\) and\($\vec{b}$\) \($\vec{b}$\)\(\vec{b}\) is zero.

The dot product of \($\vec{a}$\) and \($\vec{b}$\) is given by:

\($$\vec{a} \cdot \vec{b} = (2)(-4) + (3)(k) = -8 + 3k$$\)

For the vectors to be orthogonal, their dot product must be zero, so we set -8 + 3k = 0 and solve for k:

-8 + 3k = 0

3k = 8

\($k = \frac{8}{3}$$\)

Therefore, \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

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Answer:OMG I THINK WE HAVE A SAMME CLASS TOGATHER

Step-by-step explanation:

Step-by-step explanation:

the steps are done in the picture .

hope it helps

The equation for the upper limit is: \(U = 0.8h + r\)

For the lower limit, it is: \(L = 0.6h + r\)

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

Upper limit:

Lower limit:

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There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.

Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.

This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.

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Answer:

y = -3x - 3

Step-by-step explanation:

Subtract 3x both sides

y = -3 - 3x

y = -3x + (-3)

The relation A is not a function.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

For relation A, we have that an input of 7 is mapped to an output of 11 and also to an output of 13, hence it does not represent a function.

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Answer:

The HCF would be 8 (1,2,4,8).                                        

Answer:

Multiply 2 by 9, and then 2 by 11, and add it up all together. 18+22=40

Step-by-step explanation:

Based on the information provided, the total Diane will need to pay is $11.6.

Let's start by calculating the total from the items she ordered, the process is shown below:

Now, let´s apply the coupon by using the 10% as a reference:

12.05 x 0.9 (she will paid only 90%) = $10.845

Finally, let's calculate the tax by using its percentage and let's add it:

$10.845 x 0.0775 = $0.84

$10.845 + $0.84 = $11.6

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The range will change the most, if the 24-inch measurement is removed from the data.

The correct answer is an option (c)

Consider the table with outlier 24.

The mean of this sample of 21 brown bullhead fish would be,

x₁ = (8 + (3 × 9) + (2 × 10) + (2 × 11) + (4 × 12) + (3 × 13) + (2 × 14) + (2 × 15) + 16 + 24) / 21

x₁ = 262/21

x₁ = 12.476

And the median would be,

m₁ = 12

And the range would be,

R₁ = 24 - 8

R₁ = 16

If we remove outlier 24 then,

mean x₂ = 11.9

median  m₂ = 12

range  R₂ = 16 - 8

               = 8

Therefore, the range will change the most.

The correct answer is an option (c)

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The complete question is:

The table lists the lengths, to the nearest inch, of a random sample of 21 brown bullhead fish. The outlier measurement of 24 inches is an error. Of the mean, median, and range of the values listed, which will change the most if the 24-inch measurement is removed from the data?

a) mean

b) median

c) range

d) They will all change by the same amount.

Answer:

0

Step-by-step explanation:

Answer:

lower quartile would be Q1 and the upper quartile would be Q3

Yes the two triangles ΔCDE & ΔABC are similar according to the rules of similarity of triangles.

What is similarity?

If two triangles have the same proportion of matching sides to matching angles, they are said to be similar. Similar figures are items that share the same shape but differ in size between two or more figures or shapes.

Given that in ΔCDE,

∠DEC=55°

EC=40 ft

DE=25 ft

Also Given that in ΔCAB,

∠ABC=55°

BE=60 ft

Consider ΔCDE & ΔCAB

∠ABC = ∠DEC = 55°

∠C = ∠C

∠CAB =180-( ∠C+∠B)

          =180-(∠C +55)

∠CDE= 180- (∠C+∠E)

         =180-(∠C +55)

∠CAB =∠CDE=180-(∠C +55)

As three angles are congruent, the triangles are similar.

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Answer: $184

Step-by-step explanation:

Step (1)- 1/3 of 120= $40

Step (2)= 3/5 of 40= $24

Step (3)- 40+24+120= $184 (ToTaL)

Hope this helpss!

Answer:

64cm squared

Answer:

64cm²

Step-by-step explanation:

8cm x 8cm = (8cm)²

8 x 8 = 64

cm x cm = cm²

=64cm²

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021