Find the area of the sector formed by a central angle of 45 degrees in a circle of radius 2.1
meters. Round to the hundredth.

Answer: 74 inches

Step-by-step explanation:

Since we are given the equation of the regression line for the son's height y to be:

y = 0.5x + 38

where,

x = father's height = 72 inches

Then, we put the value of x into the equation and this will be:

y = 0.5x + 38

y = 0.5(72) + 38

y = 36 + 38

y = 74 inches

Therefore, the son is 74 inches.

Answer and Step-by-step explanation:

First, solve for the angle TRS, so that we can find the missing angle.

Subtract the two angles from 180 (because all triangle's angles add up to 180).

180 - 58 - 60 = 62.

By the vertical angles theorem, 62 is equal to the missing angle.

#teamtrees #PAW (Plant And Water)

Answer:

1 cubic ft

Step-by-step explanation:

Volume = Length × width × height

= 1 × 1 × 1

= 1

Answer:

1 cubic ft

Step-by-step explanation:

Volume = l × w × h

= 1 × 1 × 1

= 1 cubic ft

Answer:

a. Maximum

b. (-1, 4)

c. -3, 1

d. x = -1

Step-by-step explanation:

a. There is a maximum value of the function (highest point) because the parabola opens downward.

b. The vertex is the turning point--the point where the maximum is.

c. The roots (or "zeros") are the values of  x  where the curve intersects the x-axis

d. The axis of symmetry is a vertical line which passes through the vertex.

Answer:

TRUE

FALSE

FALSE

TRUE

Step-by-step explanation:

yan na po god bless

Answer:

Step-by-step explanation:

31  ,  b/c it's the most common

c 32

Step-by-step explanation:

plz follow me wenelyn andoyo duay sana makatulong ako

Answer:

Step-by-step explanation:

As you can see from the value in the middle of the questions, the domain refers to all the possible x-values (input values) while the range refers to all the possible f(x) values (output values :: y-values). Therefore, for the domain, since the endpoints of the graph are closed circles it means that they are included so the domain would be ...

Domain: -9 ≤ x ≤ 7

The range would be the lowest and highest included y-value on the graph which in this case would be ...

Range: -6 ≤ f(x) ≤ 4

Answer:

yagni

Step-by-step explanation:

de bo dam me ha te cu te mala panga uh hu ayeee

[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]

Note:-

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

that can't be the right graph because it is not purple and black or has the right information needed to answer this question

Step-by-step explanation:

Is there a graph that goes with this question?

I really want to help but this is not it

Answer:

V

≈

54.83

Step-by-step explanation:

This should be the correct answer.

Answer:

1 billion

Step-by-step explanation:

there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.

Working out:

7 -6=1

Answer:

22/30

Step-by-step explanation:

22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.

So, 22/30

Answer:22/30

Step-by-step explanation:

Answer:

[tex]f(x) = 2x + 5[/tex]

[tex]g(x) = (x - 6)^2[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

Equate the expression in bracket to g(x)

[tex]g(x) = (x - 6)^2[/tex]

Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

[tex]f(x) = 2x + 5[/tex]

Answer:

the answer is 2,046...

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is   2046

The sum of an infinite number of terms that are in constant ratios.

From the given data

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is                                     (here k is replaced with

                                                                                                                 n)                                              

6(4)ⁿ⁻¹ for n=1 is

=6(4)¹⁻¹

=6(4)⁰

= 1

6(4)ⁿ⁻¹ for n=2 is

=6(4)²⁻¹

=6(4)¹

=24

6(4)ⁿ⁻¹ for n=3 is

=6(4)³⁻¹

=6(4)²

=6(16)

=96

6(4)ⁿ⁻¹ for n=4 is

=6(4)⁴⁻¹

=6(4)³

=6(64)

384

6(4)ⁿ⁻¹ for n=5 is

=6(4)⁵⁻¹

=6(4)⁴

=6(256)

=1536

∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is    

6 + 24 + 96 + 384 + 1536

=2046

Learn more about Geometric series here :

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Answer:

21, 24, 27, 30, 33, 36, 39.

Step-by-step explanation:

Answer:

multiples of 3 : 21, 24, 27, 30, 33, 36, 39.

multiples of 2 : 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Step-by-step explanation:

Answer:

£1.62

Step-by-step explanation:

add them all up then subtract 100 and forget about the negative sign

Answer:

It would take 10 years for the investment to reach 70 dollars.

Step-by-step explanation:

The investment would gain 2 dollars per year. So in 10 years it will gain 20 dollars.

Answer:

x=20[vertically opposite angle are equal]

Answer:

speed = Distance ÷ time

Step-by-step explanation:

S = 8km ÷ 0.5h

S = 16km/h

The rate of change of distance with respect to time was 16km/hr.

Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed over the course of a journey.

Here, the total distance = 8km

Total time = 0.5 hr

Then the rate of change = total distance/total time = 8/0.5 = 16km/hr

Therefore, the rate of change of distance with respect to time was 16km/hr.

Learn more about speed here -

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Answer:

Step-by-step explanation:

the surface area = area of the 4 faces+ area of the 2 bases

4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²

if the length  of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.

Answer:

Angle of depression = 32°

Step-by-step explanation:

The angle of depression from point A to point C is complementary to m<A

m<A = 58°

Therefore,

angle of depression + 58° = 90°

Angle of depression = 90° - 58°

Angle of depression from point A to point C = 32°

The radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units

Since the equation of the circle is x² + y² + 8x - 6y + 21 = 0, to find the radius, we complete the square in the terms x and y and convert it to the form (x - a)² + (y - b)² = r²  (1) which is the standard equation of a circle.

So, x² + y² + 8x - 6y + 21 = 0

x² + 8x + y² - 6y + 21 = 0

x² + 8x + (8/2)² - (8/2)² + y² - 6y + (-6/2)²  + (-6/2)² + 21 = 0

x² + 8x + 4² - 4² + y² - 6y + (-3)²  - (-3)² + 21 = 0

(x + 4)² - 4² + (y - 3)²  - (-3)² + 21 = 0

(x + 4)² - 16 + (y - 3)²  - 9 + 21 = 0

(x + 4)² + (y - 3)² - 16 - 9 + 21 = 0

(x + 4)² + (y - 3)² - 4 = 0

(x + 4)² + (y - 3)² = 4  (2)

Comapring (1) and (2), r² = 4

So, r = √4

r = 2

So, the radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units

Learn more about equation of a circle here:

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The radius of the circle given by the equation is 2.

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Given equation is,

x² + y² + 8x - 6y + 21 = 0

(x² + 8x + 16) + (y² - 6y + 9) - 4 = 0

(x + 4)² + (y - 3)² = 4

(x + 4)² + (y - 3)² = 2²

Hence the radius of the circle is 2.

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Answer:

6.9 million

Step-by-step explanation:

the median is the number that is in the middle or centre of a set of observations that is arranged either in an ascending or descending order.

Arrange the land areas in ascending order :

3.3, 3.8, 5.4, 6.9, 9.4, 11.7, 17.3

the number in the middle is the 4th number which is 6.9

Answer:

24 ft

Step-by-step explanation:

To find the missing length, we start with the area. We know that we have an area of 96 square ft (although i dont know why someone would have such a big yard). We also know that the width of the yard is 4 ft. The next thing we do is divide. Since we multiply the length and width to find the area, we will divide the area by the width to find the missing length. 96/4= 24. Btw here is the weird yard someone has lol ( i made it to the best of my ability)

|----------------------------------------------------------|

|_______________________________|

Answer:

length=12 feet

Step-by-step explanation:

l*w=a

l*w=96

factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

12*8=96

12-8=4

12 feet=length     8 feet=width

Answer:

101

Step-by-step explanation:

180-79

Step-by-step explanation:

you have to use this

u/v=u'×v-v'×u/v²

0×(1+cosy)-(-1×-siny)/(1+cosy)²

-siny/(1+cosy)²

hopefully its correct

Answer:

6 * m

Step-by-step explanation:

6m is is multiplication so should be the equivalent expression

Written out as words clearly says

six times a number

times meaning multiplication

Meaning any other expression is equivalent as long as it is a form of multiplication

If I'm wrong please tell me if not

Hope this helped :]

Answer:

The solution, as an ordered pair, is (4, 2).

Step-by-step explanation:

2x + 2y = 12

6x - 2y = 20     Adding the 2 equations will eliminate y:

8x + 2y + (-2y) = 32

8x = 32

x = 4.

Substitute x = 4 in the first equation:

2(4) + 2y = 12

2y = 12 - 8

2y = 4

y = 2.

Answer:

The one all the way to the left (1 1/9 ft)

Step-by-step explanation:

You have to multiply Height x Width x length together.

Height will be 5/3 or 1.66

length side will have the lenght of 1

Width will be 2/3 or .66

So now you just have all of that. And you get 1.1 ( I multiplied the decimals )

And that was closest to 1 1/9