What is the volume of the cargo area of the moving truck?

A. 696 cubic feet

B. 756 cubic feet

C. 824 cubic feet

D. 888 cubic feet

Answer: (x + 4)^2 + (y - 3)^2 = 50

Step-by-step explanation:

Given: x^2 + y^2 + 8x - 6y - 25 =0, which the general form of the circle.

Solution:

Complete the square formula: (x - h)^2 + (y - k)^2 = r^2

Group similar term together on the left side of the equation and move the constant to right side of the equation ( remember to change the sign of the constant.

x^2 + y^2 + 8x - 6y - 25 =0

x^2 + 8x + y^2 - 6y = 25

Complete the Square: (x^2 + 8x + _____) + (y^2 - 6y + _____) = 25

Take half of the coefficient of the linear term for each variable, square the quotient, and add the answer to both side of the equation.

half of the coefficient of the linear term: ( 8/2)^2 = 16 and (-6/2)^2 = 9

(x^2 + 8x + 16) + (y^2 - 6y + 9) = 25 + 16 + 9

Each quality is a trinomial square and need to be factored

(x + 4)^2 + (y - 3)^2 = 50

In a 45 · 45 · 90 triangle, the hypotenuse is √2 · legs, because a 45 · 45 · 90 triangle is isosceles, so the legs are the same length. So, we have 3√2 · √2 = 6, so the hypotenuse is 6.

x=6

Answer:

10 hours

Step-by-step explanation:

450 ÷ 45 = 10 hours

Answer:

Tangent

Step-by-step explanation:

GE has only one point of contact with the circle at F

The line GE is therefore a tangent

Answer:

Tangent

Step-by-step explanation:

i took it

Answer:

81.5%

Step-by-step explanation:

I just took the test

Hi there!

[tex]\large\boxed{\text{ sum = 180(n - 2)}}[/tex]

This is the formula for finding the sum of interior angles for a polygon with a number of sides "n".

We can also prove this from the table:

Triangle ⇒ 3 sides: 180(3 - 2) = 180°

Quadrilateral ⇒ 4 sides: 180(4 - 2) = 360°

Pentagon ⇒ 5 sides: 180(5 - 2) = 540°

...And so forth. We can write this as for any polygon with "n" sides:

180(n - 2) = sum (°)

Answer:

16 pies were neither apple nor peach.

Step-by-step explanation:

8/10, or 4/5 of the 80 apple pies were either apple or peach, which 4/5 of 80 is 64. The remaining pies will be neither apple nor peach. 80 - 64 = 16.

Answer:

We know that the area of the square of side length L is:

A = L*L = L^2

In this case, we know that the area is:

A = 128*x^3*y^4 cm^2

Then we have:

L^2 = 128*x^3*y^4 cm^2

If we apply the square root to both sides we get:

√(L^2) = √( 128*x^3*y^4 cm^2)

L = √(128)*(√x^3)*(√y^4) cm

Here we can replace:

(√x^3) = x^(3/2)

(√y^4)  = y^(4/2) = y^2

Replacing these two, we get:

L = √(128)*x^(3/2)*y^2 cm

This is the simplest form of L.

Answer:

 -  0.1499375256

Step-by-step explanation:

have a good day /night

Answer:

26.6666667

Step-by-step explanation:

Answer:

VW = 31

WX = 19

YW = [tex]\sqrt{1322}[/tex]

ZX = ([tex]\sqrt{1322}[/tex]) / 2

VX = [tex]\sqrt{1322}[/tex]

Step-by-step explanation:

[tex]YW^{2}[/tex] = [tex]19^{2}[/tex] + [tex]31^{2}[/tex]

[tex]19^{2}[/tex] + [tex]31^{2}[/tex] = 1322

ZX = YW/2 = VX/2

 Measures of the different sides of the rectangle will be,

YX = 31 units

WX = 19 units

VW = 36.36 units

ZX = 18.18 units

VX = 36.36 units

Quadrilateral VWXY is a rectangle.

Properties of a rectangle,

YX = VW = 31 units

VY = WX = 19 units

By applying Pythagoras Theorem in right triangle ΔWXY,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(WY)² = (WX)² + (XY)²

YW = [tex]\sqrt{19^2+31^2}[/tex]

      = [tex]\sqrt{1322}[/tex]

      = 36.36 units

ZX = [tex]\frac{1}{2}(YW)[/tex]

     = [tex]\frac{1}{2}(36.36)[/tex]

     = 18.18 units

VX = YW = 36.36 units

Learn more,

https://brainly.com/question/9655204

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

Answer:

10 months

Step-by-step explanation:

.8x+4=.6x+6

.8x=.6x+2

.2x=2

x=10

Answer:

V=120cm³

Step-by-step explanation:

v=12(5)(6)-4(10)(6)

v=120cm³

hope it helps...

have a great day!!

Answer:

the answer should be x=2

Step-by-step explanation:

EDITTT!!!

x+3=5

x+3-3=5-3

x=5-3

x=2

Answer:

b.) 75.36

Step-by-step explanation:

Got it right on edge

Answer:

[tex]2x^2 + 2a^2[/tex]

Step-by-step explanation:

[tex](x + a)^2 + (x - a)^2[/tex]

Lets expand it.

[tex]=> x^2 + a^2 + 2ax + x^2 + a^2 - 2ax[/tex]

[tex]=> x^2 + x^2 + a^2 + a^2[/tex]

[tex]=> 2x^2 + 2a^2[/tex]

Answer:

-23/45

Step-by-step explanation:

2/9-11/15

2×5/9×3-11×3/15×3

10/45-33/45

10-33/45

-23/45

decimal form:-0.51

Answer:

217247812842747328hjedhsba309

Step-by-step explanation:

sdmfdskhc

Answer:

The value of x = -2

Step-by-step explanation:

Given equation:

2x + 4 = 0

Find:

The value of x

Computation:

We know that given equation 2x + 4 = 0 is a liner equation with only one variable.

So, we can solve this by elimination method

2x + 4 = 0

Step 1 :

Subtract 4 from both side

2x + 4 - 4 = 0 - 4

2x = -4

Divide 2 from both side

2x / 2 = -4 / 2

x = -2

The value of x = -2

Answer:

22 + 2|/2

Step-by-step explanation:

24 - 4|/2 + 6|/2 - |/4

24 + 2|/2 - 2

24 - 2 + 2|/2

22 + 2|/2

note: |/ means root

couldn't find a sign for root so just makeshift with that

hope it helps.

Answer:

377/29

Step-by-step explanation:

this is the answer for plato, i took the test btw

For the given value of sin, the value of cosΘ will be 0.73.

A right-angle triangle's sides, angles, and relationship to each other are the subject of the mathematical discipline of trigonometry. The pair ratio of a right-angled triangle is known as the trigonometric ratio.

It is given that, sinΘ= -4√29 / 29

Θ=sin⁻¹(-4√29 / 29)

Θ= -0.74

The value of cosΘ is obtained as,

=cosΘ

=cos( -0.74)

=0.73

Thus, the value of cosΘ will be 0.73.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Answer:

7.2 feet

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because the area of square is l² so John is righrt

Answer:

Area of square= ²

Area of square A= ²

Area of square B = ?

let the length of square A = x

Area of square A =x²

then the length of square B = 2x

Area of square B =2x²

x²means area of square A

so Area of square B =2 times area of squarf A

Answer:

good luck!

Step-by-step explanation:

Answer: i would say 30 + 20 - 10 - 20 - 0

sorry if i am wrong

Step-by-step explanation:

Answer:

67.6 cm

Step-by-step explanation:

x^2 = 285.61

x = 16.9

4x = 67.6 cm

Answer:

25.1cm

Step-by-step explanation:

C=2πr

here radius, r=4 cm and π=3.142

Put values in formula.

C=2(3.142)(4)

C=25.1 cm (Rounded to 1 decimal place)

Answer:

25.1 centimeters

Step-by-step explanation:

Formula to find circumference of a circle is C=2πr

Plug in the given values, 3.142 for π, and 4 for r.

C=2 x 3.142 x 4=25.136 centimeters. Round this to 1 decimal place, so our final answer is 25.1

Answer:

I think its 50 okaygdvd dbdur