A cone has a diameter of 6ft and a slant height of 19ft.

Answer:

i believe the answer is 142.42 in²

Step-by-step explanation:

what i did was 'separate' the cone and cylinder-

so the volume of cylinder formula is-

v=πr²h

and the volume for a cone is-

v=πr²h/3

now let us fill in the formulas with the information that we have-

v=π*2²*10=125.66

v=π*2²*4=16.76

now let us add the sums together-

125.66+16.76=142.42 in²

good luck :)

i hope this helps

**please let me know if this is incorrect/not what you're looking for or both**

have a nice day!

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

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Answer:

im pretty sure its c-no the corresponding sides are not proportional

Step-by-step explanation:

Answer:

$127.875

Step-by-step explanation:

cost of 3 pizzas= $15*3

cost of 3 pizzas=$45

cost of 15 drinks=$1.50*15

cost of 15 drinks=$22.5

cost of 6 nachos=$5.80*6

cost of 6 nachos=$34.8

Total cost = pizza cost+ drinks+nachos

total cost=$45+$22.5+$34.8

total cost=$102.3

Now ,

Tip cost=$102.3*20%

=$20.46

tex cost=$102.3*5%

=$5.115

Bill which all friends pay=total cost+ tip cost+tex cost

= $102.3+$20.46+$5.115

=$127.875

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Answer:

174 ft sq is area of this figure

Answer:

35×7=56 is a AWNSER djndhei

Answer:

Table c represents the expression 12 + x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Substitute each of the the values of x on column one into the expression on column two (12+1=13,12+2=14...........)

The three dramatic techniques that make "Look Back in Anger" interesting are social realism, strong language and rhetoric, and character conflict and dynamic relationships.

"Look Back in Anger" by John Osborne is a play known for its compelling portrayal of post-war disillusionment and social critique. Here are three dramatic techniques used in the play that contribute to its enduring interest:

1. Social Realism: Osborne employed social realism, depicting the gritty realities of working-class life, alienation, and societal discontent. This authenticity and portrayal of relatable characters and situations engage the audience emotionally and intellectually.

2. Strong Language and Rhetoric: The play is characterized by sharp, biting dialogue and impassioned monologues. The use of strong language and rhetoric adds intensity, captures the characters' frustrations, and conveys their anger and disillusionment effectively.

3. Character Conflict and Dynamic Relationships: The play revolves around intense conflicts between characters, particularly the central couple, Jimmy and Alison. Their volatile relationship and the clash between Jimmy's anger-fueled rebellion and Alison's desire for a different life create tension and keep the audience engaged.

Overall, these dramatic techniques of social realism, powerful language, and dynamic relationships make "Look Back in Anger" interesting by effectively portraying societal issues, engaging the audience emotionally, and highlighting the complexities of human interactions.

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The values of CotD and SinC from the information given in the task content are; 15/8 and 15/17 respectively.

It follows from the task content that the right triangle has tanC = 15/8 and cosD=15/17.

On this note, it follows from Pythagoras theorem that the other value are as follows;

Hence, it follows that the values of cotD and sinC are; 15/8 and 15/17 respectively.

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The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Answer:

144 in²

Step-by-step explanation:

A function that is negative over its entire domain can be having its values of x and y negative i.e. it can be (-3,-4). Yes, the graph has an X-intercept.

A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed. We find it easier to graph linear equations when we consider intercepts.

X-intercept illustration:

Where a line on a graph crosses the x-axis is known as the x-intercept. At that time, the y coordinate's value is zero. For instance, the x-intercept would be where the equation y = x + 5 crosses the x-axis at the location (-5, 0).

Calculate the x-intercept:

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

An illustration of y-intercept:

This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

If we can locate the x-intercept of a linear function, finding the zero should be simple. The x-coordinate of the x-intercept is zero.

The x-intercept can be positive or negative.

Summary:

The location on the graph where our line crosses the x-axis is known as the x-intercept.

Positive numbers are to the right of the origin and negative numbers are to the left of the origin on the x-axis.

The location on the graph where our line crosses the y-axis is known as the y-intercept.

The side of a graph is negative:

Consider the numbers as being on the x-axis to help us remember this. The positive values are located to the right of the origin, and the negative values are located to the left of the origin.

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Answer:

6

Step-by-step explanation:

\(\frac{DC}{4}=\frac{12}{8} \\ \\ DC=6\)

Answer:

I can't understand

Step-by-step explanation:

can you translate to english

sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

The sine expression is given as

sin^4x

The above means

sin x raised to the power of 4

This in other words, the expression is represented as

(sin(x))^4

Express 4 as 2 + 2

(sin(x))^(2 + 2)

Apply the law of indices

(sin(x))^2 * (sin(x))^2

This gives

sin^2(x) * sin^2(x)

Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

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Answer:

\(\sf x = \dfrac{-1 + i\sqrt{3} }{2} \quad or \quad \dfrac{-1 - i\sqrt{3} }{2}\)

Explanation:

\(\sf Given : x^2 + x + 1 = 0\)

Solve it using quadratic formula

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad \:when\: \: ax^2 + bx + c = 0\)

So, here constants are: a = 1, b = 1, c = 1

When the value's are substituted inside the formula

\(\sf \rightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)(1)} }{2(1)}\)

\(\sf \rightarrow x = \dfrac{-1 \pm \sqrt{-3} }{2}\)

\(\sf \rightarrow x = \dfrac{-1 \pm i\sqrt{3} }{2}\)

\(\sf \rightarrow x = \dfrac{-1 + i\sqrt{3} }{2} \quad or \quad \dfrac{-1 - i\sqrt{3} }{2}\)

The answers are :

This problem can be solved using the quadratic equation.

x = -1 ± √1² - 4(1)(1) / 2a

x = -1 ± √1 - 4 / 2a

x = -1 ± √-3 / 2a

x = -1 ± i√3 / 2a (∴ i = √-1)

The possible values of x are :

Answer: 6.5? I think this is the answer but not sure.

Answer:

5

Step-by-step explanation:

Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

As per the given perimeter of the rectangular area, the maximum area without fencing is 788544 square feet.

Perimeter of rectangle

Perimeter of the rectangle is defined as the total length or distance around the boundary of a rectangle.

And the formula that is used to measure the perimeter of the rectangle is

P = L x B

Where

L refers the length

B refers the breadth

Given,

A farmer has 1776 feet of fencing available to enclose a rectangular area bordering a river.

Here we need to find if  no fencing is required along the river, then what will be the dimensions of the fenced area that will maximize the area.

Let us consider L and W be the length and width of the rectangular respectively.

And also, let the river run along L.

So, the perimeter to be covered by fence is written as,

=> P = L + 2W.

Therefore, when we apply the value of perimeter in it, then we get,

=> 1776 =L + 2W

Here we need the value of L, so, the equation is rewritten as,

=> L = 1776 - 2W

Now, we have to apply these value on the area formula, then we get,

A = (1776-2W) x W

When we simplify it, then we get,

=> A = 2700W-2W²

This is in the form of quadratic equation.

So, let us assume that the vertex of the rectangular at maximum area will give maximum width.

Then it can be obtained as, (W,A),

where the value of

W = -b/2a

Here the value of b = 1776 and a = -2

By applying these values on the formula, then we get the value of W as,

=> W = -1776/2*(-2)

=> W = -1776/-4

=> W = 444ft.

Therefore, the length is

=> L = 1776 - 2(444)

=> L = 1776 - 888

=> L = 888

Maximum area, A=888*888 = 788544 square feet.

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Answer: 1015

Step-by-step explanation: We will find the factors of all the given numbers by using the prime factorization method. Then we will multiply the factors with the highest degree to find the least common multiple of the given numbers.

\(CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG\)

\(2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5\)

\(EF = 2 * 5 - 2 = 10 - 2 = 8\)

Answer: 8.

Answer:

EF=8

Step-by-step explanation:

HG=x-3

CD=x

EF=2x-2

Since HG is 3 less than CD, EF has to be 3 more than CD

x+3=2x-2

3+2=2x-x

5=x

x=5

HG=2

CD=5

EF=8

To write a number in exponential form, we look at the main number, then see how much is it repeated by.

Our main number is 0.75.

How many times 0.75 is repeating is 5 times.

Therefore, our answer is: \(0.75^5\).

Optional: 0.75 to the power of 5 is: 0.2373046875.

Answer:

16 + 8b ≥ 50

4500

Step-by-step explanation:

He needs at least 50 rooms and has already reserved 16

They are in groups of 8

16 + 8b ≥ 50

Subtract 16 from each side

16+8b-16 ≥ 50 -16

8b≥ 34

Divide by 6

8b/8 ≥ 34/8

b≥ 4.25

We need to round up since we need at least 50

b = 5 since we want the least amount of rooms

Each block is 900

5*900 = 4500 more that he will have to spend

Answer: 18

-3m + 3(m + 6)

= -3m + 3m + 18

= 18

Step-by-step explanation:

Step-by-step explanation:

Step

\(x = - \frac{8}{11} \)

1:Expand

\(−3x−6=5x+5\)

Step 2:Add both sides 3x

\(−6=5x+5+3x\)

Step 3:Subtract 5 from both sides.

\(−6−5=8x

\)

Step 4:Simplify -6-5−6−5 to -11−11.

\(−11=8x

\)

Step 5:Divide both sides by 88.

\(x=− \frac{8}{11}

\)

I hope it helps you!!!

The roots or zeroes of the given trinomial 2x² + 19x + 35 are x = -5/2 and x = -7.

Trinomials are polynomial expressions which consists of three terms.

For example, 2x + 7y + 5 is a trinomial.

Roots of a quadratic equation ax² + b x + c = 0 can be found using the quadratic formula,

x = [-b ± \(\sqrt{b^2-4ac}\) ] / 2a

Here \(\sqrt{b^2-4ac}\) is called the discriminant.

Given is a quadratic expression which is also a trinomial.

Let, 2x² + 19x + 35 = 0

Here, a = 2, b = 19 and c = 35

Discriminant = \(\sqrt{(19)^2-(4*2*35)}\)

                     = \(\sqrt{81}\)

                     = 9

Using the quadratic formula,

x = [-19 ± 9] / 4

x = [-19 + 9] / 4 and x = [-19 - 9] / 4

x = -10/4 and x = -28/4

x = -5/2 and x = -7

Hence the roots of the given equation are x = -5/2 and x = -7.

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The corrected complete question is as follows.

What are the roots of the trinomial 2x² + 19x + 35 ?

Answer:

2/3 divided by 4 = .16

Step-by-step explanation:

This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8

Answer:

\(x + y - x = 6 - y - 4 \\ y = 2 - y \\ 2y = y \\ y = 1 \\ x + y = 6 \\ x + 1 = 6 \\ x = 5\)