What is the area of the base of the cone below?

Answer:

14 9/18 (or

Step-by-step explanation:

The sum of 7/18 + 14 1/9 are

7/18 + 14 1/9

7/18 + 14 2/18 <= Make the fraction the same denominator

14 9/18 <= Simplify the Fraction

14 1/2

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Answer:

14 1/2

Step-by-step explanation:

Answer:

The area of the rectangular area is (1400w-w²) square yards.

Step-by-step explanation:

Given that,

David has available 2800 yards of fencing. He wants to enclose a rectangular area.

Assume that, the length and width of the rectangular be l and w  respectively.

The perimeter of the rectangular area is

=2(length+ width)

=2(l+w)

So,

2(l+w)= 2800

[tex]\Rightarrow l+w= \frac{2800}{2}[/tex]

[tex]\Rightarrow l+w= 1400[/tex]

[tex]\therefore l= 1400-w[/tex]

The area of the rectangular area is = length× width

                                                            =l×w

                                                           =(1400-w) w

                                                           =(1400w-w²) square yards.

Final answer:

The area A of the rectangle can be expressed as a function of the width W by using the equation 2L + 2W = 2800, where L represents the length of the rectangle. The formula for the area of a rectangle is A = L * W, substituting the value of L in terms of W, we get A = ((2800 - 2W)/2) * W.

Explanation:

To express the area A of the rectangle as a function of the width W, we need to understand that a rectangle has two equal lengths and two equal widths. Let's assume the length of the rectangle is L. Since the perimeter of the rectangle is 2800 yards, we can write the equation: 2L + 2W = 2800.

Now, we can express L in terms of W: L = (2800 - 2W)/2. The area of the rectangle is given by the formula A = L * W. Substituting the value of L, we get A = ((2800 - 2W)/2) * W.

This is the function that expresses the area A as a function of the width W.

Answer:

0.52

Step-by-step explanation:

because 0.485 rounds up to 0.49 or up by tenths would be 0.50

which is still less than 0.52

Hope this helps!

Answer:

0.52

Step-by-step explanation:

Which number is higher 4 or 5. Just because it of a decimal doesn’t mean the greatness of the number changes.

Hope this helps

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Answer:

the second one

Step-by-step explanation:

the second one

Answer:

The second one

Answer:

The sequence is a function

Step-by-step explanation:

where n is the number of months since his initial deposits, and A₀=50

The sequence is a function because its domain is a set of natural numbers.

For example,

A₁=A₀+25 =75

A₂=A₁+25=100

A₃=A₂+25=125

A₄=A₃+25=150

The domain is 0, 1, 2, 3, 4, 5,.....

The set of all non-negative integers.

Given sequence is [tex]A_{0}=50, \ A_{n}=A_{n-1}+25[/tex]

Domain of this sequence is n = the number of months since the initial deposit.

The possible values of n = 0, 1, 2, 3, 4, 5,..... It means the set of all non-negative integers.

So it is the domain of the sequence.

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Answer: growth factor = 1.022

Step-by-step explanation:

The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%

What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US

Answer:

The per capita GDP in the US is multiplied by approximately 1.0221.0221, point, 022 each year.

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

hundreds place is 2 tenths are 21  and ones is 210

Answer: 21

Step-by-step explanation: It's 21 because 21 times 10 equals 210.

Answer:

Hehe Hopefully I'm the first one to help you

Step-by-step explanation:

Answer: I don't know....I'm here for emotional help cuz I'm also struggling in geo rn TwT. I relate to you so yea... Ily and I need more points to ask more questions about geo haha. Supporting you tho

Answer:

The surface area is 259.94 and the volume is 149.81

Step-by-step explanation:

Given:

A rectangular wall with 2 windows and a 1 door.

To find:

The area of the wall and the amount of paint required to cover the wall.

Solution:

The area of the wall can be determined by subtracting the areas covered by the windows and the door from the area of the entire wall.

The entire wall has a length of 12 feet and a width of 8 feet.

The area of a rectangle [tex]=(l)(w).[/tex]

The area of a square [tex]= a^{2} .[/tex]

The entire wall's area [tex]= (12)(8)= 96[/tex] square feet.

The door has a length of 3 feet and a width of 6 feet.

The area of the door [tex]=(3)(6)=18[/tex] square feet.

The windows are in the shape of a square.

The side length of the windows is 2 feet.

The area of a window [tex]= 2^{2} =4[/tex] square feet.

The area of 2 windows [tex]= 2(4) = 8[/tex] square feet.

The area of the wall [tex]=96-18-8=70[/tex] square feet.

If a quart of extra-thick exterior paint covers 30 square feet, then 70 square feet will need;

The paint needed to cover 70 square feet [tex]= \frac{70}{30} = 2.333[/tex] quarts.

So the area of the wall was 70 square feet and 2.333 quarts of extra-thick exterior paint is required to cover the wall.

Answer:

3/4

Step-by-step explanation:

Answer:

P(A | B) = P(A and B)/P(B)

1/3 = (1/3)/P(B)

P(B)=3/4

Step-by-step explanation:

EDMENTUM

Answer:

D) Point S will be translated to (4, 3) and then reflected to (4, −3)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

115.9 is closer to 100 then it is to 200, so round down to 100

Answer:

14

Step-by-step explanation:

Answer:

The answer to your question is Dan worked 7 hours

Step-by-step explanation:

Data

Money made $242 / 11 h

Money made $154 / ?

Process 1

1.- Determine the money made in one hour using proportions and cross multiplication

                       $242------------------------ 11 h

                            x   ------------------------  1 h

                                x = (1 x 242)/11

                                x = $22

2.- Use proportions to determine the hours he work to made $154

                        $22 --------------------  1 h

                      $154 -------------------- x

                              x = (154 x 1) / 22

                              x = 154/22

                             x = 7 hours

Answer:

Once the number of possible heads and tail in 12 tosses is [tex]2^{12} =4096[/tex]

[tex]\frac{12!}{\left(7!\right)\left(5!\right)}\\\\\frac{12\cdot \:11\cdot \:10\cdot \:9\cdot \:8}{5!}\\\\\frac{95040}{120}\\\\792[/tex]

So the probability of getting exactly  8  heads in  12  coin tosses is: [tex]\frac{792}{4096}[/tex]

Answer:

b

Step-by-step explanation:

The two regular pentagons could be differnt sizes, so they are not all congruent hope this helps :)

Quarterly Rate means the per annum interest rate to be determined for the Bonds on a quarterly basis and the quarterly rate of population increase [tex]0.00447[/tex].

What is quarterly?

If the rate of interest is annual and the interest is compounded quarterly then the number of years [tex](n)[/tex]  is  [tex]4 times[/tex]  and the rate of annual interest [tex](r)[/tex] is one-fourth.

Here given that the annual rate is [tex]r=0.018[/tex].

And the exponential growth function is

[tex]y=a(1+r)^{x} ...(1)[/tex]

where [tex]a[/tex] is the initial amount

and  [tex]r[/tex] is the rate of growth.

So, By equation [tex](1)[/tex], we get

[tex]y=a(1+0.018)^{t}\\y=a(1.018)^{t}[/tex]

The quarterly growth rate, the exponent is the number of quarters in [tex]t years[/tex] or [tex]4t[/tex].

So, by multiplying the exponent by [tex]\frac{4}{4}[/tex], the [tex]4t[/tex] represents the number of quarters

[tex]i.e., y=a(1.018)^\frac{4t}{4}\\y=a(1.018^\frac{1}{4})^{4t}\\y=a(1.00447)^{4t}\\[/tex]

Hence, the quarterly growth rate is [tex]1.00446[/tex], now we subtract it with [tex]1[/tex] so it is of the form:-

[tex]1.004477-1=0.00447[/tex]

which implies that the population is increasing.

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Answer:

A) 9

Step-by-step explanation:

  15 - 3(6 - 4)

= 15 - 3(2)

= 15 - 3 x 2

= 15 - 6

= 9

The given expression is equivalent to 9 The correct answer is option A) 9.

To simplify 15 - 3(6 - 4), we follow the order of operations (PEMDAS/BODMAS):

Step 1: Start with the innermost parentheses (6 - 4):

15 - 3(2)

Step 2: Next, perform the multiplication:

15 - 6

Step 3: Finally, do the subtraction:

9

The correct answer is option A) 9. The explanation shows how we first evaluate the expression inside the parentheses (6 - 4), then perform the multiplication (3 times 2), and finally subtract the result (6) from the initial value (15) to get the final answer of 9.

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Answer:

i have no idea ask one of your dorm roomates.

Step-by-step explanation:

Answer:

Step-by-step explanation:

B) 360 in²

3 rectangles + 2 triangles

(10×12) + (10×13) + (10×5) + 2(½×12×5)

= 120 + 130 + 50 + 60

= 360 in²

Answer:

[tex]x^2-12x+27 =0[/tex]

Step-by-step explanation:

Given a Parabola that intersects the x-axis at x=3 and x=9.

I presume you want to determine the equation of the parabola.

You can use this form:

Given roots of a parabola, the equation of the parabola is derived using the formula:

[tex]x^2-($Sum of Roots)x+Product of Roots =0\\Since roots are 3 and 9, the equation becomes:\\x^2-(3+9)x+(3X9) =0\\x^2-12x+27 =0[/tex]

The equation of the parabola is:

[tex]x^2-12x+27 =0[/tex]

Answer:

a,c and e are right on edge

Answer:

h > 3

Step-by-step explanation:

If h is Margrets' height then her height is greater than 3 or h > 3

Answer:

32 degrees

Step-by-step explanation:

The interior and exterior of X must equal 180 degrees.

X + W = 180

Plug in 100 for W and subtract it from both sides.

180 - 100 = X = 80 degrees.

The total of the internal angles of a triangle are 180 degrees.

80 + 68 + Y = 180

Solve for Y:  Y = 180 - 68 - 80 = 32 degrees.

Answer:

k = 1

Step-by-step explanation:

English Translation

Find k if the point P (-1, 2k + 1) belongs to the graph of the function f (x) = - 4x^2 + 7.

The function is given as

y = f(x) = -4x² + 7

and point (-1, 2k+1) lies on the graph.

This point means that, at x = -1, y = 2k+1

y = -4x² + 7

Substituting the values in

2k + 1 = -4(-1)² + 7

2k + 1 = -4 + 7 = 3

2k = 3 - 1

2k = 2

k = 1

Hence, the point (-1, 2k+1) is (-1, 3)

To check,

y = -4x² + 7

3 = -4(-1)² + 7

3 = -4 + 7

3 = 3

So, this is truly correct.

Hope this Helps!!!

Answer:  

It's A - F is the midpoint of AA' because Line E G bisects AA'

Step-by-step explanation: :D

When a point bisects a line segment, it divides the line segment into two equal segments. The true statement about point F is that:

F is the midpoint of AA' because Line E G bisects AA'

I've added as an attachment, the diagram of triangles [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]

From the attached figure of [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex], we can see that line EF passes through line AA'.

Lines EF and AA' intersect at point F, where point F is the midpoint of line EF and line AA'.

Hence, F is the midpoint of line AA' because line EG is a bisector of line AA.

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Answer:

Brianna

Step-by-step explanation:

(p^-5)/q⁰

(p^-5)/1

1/p⁵

1/p⁵ × q⁰

Answer:

Brianna

Step-by-step explanation:

edge

Answer:

81 and 100

Step-by-step explanation:

9 x 9 = 81

and...

10 x 10 = 100!

The others doesn't match the rules stated-

3 x 8 = 24, 2 x 12 = 24, 4 x 6 = 24, but no number that are the same multiply together to equal 24(that's also an integer)

All the others are the same way-

Hope this helps!

Answer: 27, 81, 100

Those are the answers.

Answer:

b) She stopped to change a flat tire.

Step-by-step explanation:

I'm assuming the y-axis of the graph says distance.

Over time, Anita did not move at all which indicates that she stopped. There is nothing to do with speed in this question do you can take out answers a) and d). c) is pretty irrelevant because why would Anita continue riding her bike after if she already won. So the answer is b) She stopped to change a flat tire.

Hope this helped! :)

Answer: A) x2+y2+16x-8y+73=0

Step-by-step explanation:

I got it right on edge.

The generic version of the circle equation is, x² + y² + 16x - 8y + 73 = 0.

A circle is a closed two-dimensional object in which all points in the plane are equidistant from a single point known as the "centre." The line of reflection symmetry is formed by every line that travels through the circle. For any angle, it also exhibits rotational symmetry around the center.

Step 1:

The conventional form of the circle equation is expressed as:

(x - a)² + (y - b)² = r²

where centers are specified as (a,b)

The circle equation given in the question is:

x² + y² = 7

If the circle is translated T(-8,4), the center of the translated circle is located at (-8,4).

As a result, the conventional version of the circle equation is:

(x + 8) ² + (y - 4) ² = 7

Step 2:

Simplifying the problem:

(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7

x² + 64 + 16x + y² + 16 - 8y = 7

x² + y² + 16x - 8y + 80 = 7

x² + y² + 16x - 8y + 80 - 7 = 0

x² + y² + 16x - 8y + 73 = 0

which is the generic version of the circle equation.

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Answer:

2

Step-by-step explanation:

The slope is always whatever you multiply your x value by.