find the area of the figure. round your answer to the nearest hundredth

Answer:

see below

Step-by-step explanation:

5 – 3(2x – 7) = 12 – 5(x – 2)

Substitute x=2

5 – 3(2*2 – 7) = 12 – 5(2 – 2)

5 – 3(-3) = 12 – 5(0)

5 - 3*(-3) = 12

5+9 = 12

14=12

This is false so it is not a solution

5 – 3(2x – 7) = 12 – 5(x – 2)

Substitute x=5

5 – 3(2*4 – 7) = 12 – 5(4 – 2)

5 – 3(8-7) = 12 – 5(2)

5 - 3*1 = 12-10

5-3 = 2

2=2

This is true so it is  a solution

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:

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:

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:

https://brainly.com/question/24810873

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.

Learn more about Circles here :

https://brainly.com/question/29288238

#SPJ5

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°

15.05x6= 90.3

171.00-90.3=80.7

Answer:

101

Step-by-step explanation:

180-79

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

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:

x=60 all you have to do is take 140 and subtract it from 80 that is it

Answer:

x= 40°

Step-by-step explanation:

here

x°+140°+80°= 180°

or , x°+220°=180

or , x°=220°–180°

•

• • x= 40°

Answer:

£1.62

Step-by-step explanation:

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

Answer:

Base area by height

28.2*3.1=87.42cm3

Answer:

80

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

idek bro

Step-by-step explanation:

i stink at this math

Answer:

[tex]\frac{9\sqrt{3} }{2}[/tex]

Step-by-step explanation:

since the triangle is a 30-60-90 triangle:

√3 : 2 = x : 9

=> 2x = 9 √3

=> x = [tex]\frac{9\sqrt{3} }{2}[/tex]

Answer:

V

≈

54.83

Step-by-step explanation:

This should be the correct answer.

[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:

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 -

https://brainly.com/question/21622792

#SPJ2

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:

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 :

https://brainly.com/question/4617980

#SPJ2

Answer:

yagni

Step-by-step explanation:

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

Answer:

x=20[vertically opposite angle are equal]

Answer:

299.64 ft

Step-by-step explanation:

The diagrammatic representation of the problem has been attached below :

Applying trigonometry :

We use the relation :

Tanθ = opposite / Adjacent

Tan 30 = 173 / d

0.5773502 = 173 / d

0.5773502d = 173

d = 173 / 0.5773502

d = 299.64 ft

Answer:

A or B

Step-by-step explanation:

Answer:

i believe its B~

Step-by-step explanation:

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:

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:

TRUE

FALSE

FALSE

TRUE

Step-by-step explanation:

yan na po god bless

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:

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:

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.