What is the area of this face? 12ft 6ft 6ft 6ft
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Answer:

[tex]\mathbf{ \dfrac{128}{3}}[/tex]

Step-by-step explanation:

Given that:

[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]

[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]

[tex]Then;[/tex]

[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]

[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]

∴

[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]

[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]

∴

[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]

[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]

[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]

∴

[tex]\mathbf{V = \dfrac{128}{3}}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

312.5

Step-by-step explanation:

Answer:

1/4+1/4+1/4+1/4+1/4+1/4= 1.5

3/10x2/3= 0.2

2/4x2/3= 0.33333333333  (just put 0.3 with a line on top of the 3)

6 divided by 1/2 = 12/1 or 12

9 divided by 1/3 = 27/1 or 27

2/5 divided by 3/4 = 8/15

1/2 divided by 2/3 = 3/4

Answer:

c

Step-by-step explanation:

Answer:

Corresponding Angles

Step-by-step explanation:

They are both in the same positions but just on different lines meaning they are corresponding :)

The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.

The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.

The angles 1 and 4, angle 2 and 3 are vertically opposite angles.

Similarly, 5&8 and 6&7 are vertically opposite angles.

The angle 4 and angle 8 are corresponding angles.

Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

Answer:

104 ft³

Step-by-step explanation:

to find the volume of a rectangular prism you do

width x height x length or 13x2x4

13x2=26

26x4=104

so the volume of the rectangular prism is

104 ft³

have a great day :D

Answer:

Option : C

Step-by-step explanation:

Hope it helps you!

Answer:

48

Step-by-step explanation:

7+16+5+20=48

Answer:

69

Step-by-step explanation:

Answer:

I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.

Answer:I Don't Know

Step-by-step explanation:

Answer: Thursday

Step-by-step explanation:

I hope this helps

Answer: Thursday

Step-by-step explanation:

It's Thursday because any number below 0 is a negative number but, as Thursday is 3° above 0, it is positive.

Hope this helps :)

Answer:

2:1 is the simplest form

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Arc AC = 180

Arc DC = 58

Arc AC = Arc AD + Arc DC

180 = Arc AD + 58

122 = Arc DC

Tangent Chord Angle = 1/2Intercepted Arc

Angle DBA = 1/2 Arc DC

Angle DBA = 1/2 (122)

Angle DBA = 61

Answer:

10 ft above sea level

Step-by-step explanation:

20 below goes up by 30 then it would be -20 -10 0 10

Answer:

These are the answers. Hope this helps!

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

Answer:

4, subtract 7 from both sides m = 4

9514 1404 393

Answer:

  1/500

Step-by-step explanation:

The value of the digit is found by setting the other digits to zero:

  0.002

This is 2 thousandths, or 2/1000. The fraction can be reduced to 1/500.

Answer:

the answer is 1/500

Step-by-step explanation:

:)))

Answer:

bitcoin

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 85.7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

27-17=10

17-10=7

Answer:

50

Step-by-step explanation:

PEMDAS

3(2)+24/2+2(3+7)

Pemdas

3(2)+24/2+2(10)

PeMDas

6+24/2+20

6+12+20

PemdAs

38

Answer:

168ft^2

Step-by-step explanation:

150 · 0.12 = 18.

150 + 18= 168

Answer:

Point A: quadrant 1

Point B: either quadrant 1 or 4

Point C: quadrant 4

Point D: either quadrant 3 or 4  

Point E: quadrant 2

Point F: quadrant 2

Step-by-step explanation:

9514 1404 393

Answer:

  5 cm

Step-by-step explanation:

The given arcs have the ratio ...

  BRA : BSA = (3/2) : 1 = 3 : 2

Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.

  0.6(2πr) = 6π . . . . . BRA is 6π long

  r = 6π/(1.2π) . . . . . . divide by the coefficient of r

  r = 5 . . . . centimeters

Step-by-step explanation:

w = 4

y = 4√2

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Answer:

72 candies

Step-by-step explanation:

she had 6 boxes with 6 bags each so that equals 36 and each bag has 2 candies so 36 times 2 equals 72

hope this helped plz give brainliest

ella tenía 6 cajas con 6 bolsas cada una, por lo que es igual a 36 y cada bolsa tiene 2 caramelos, por lo que 36 por 2 es igual a 72

Espero que esto haya ayudado por favor a dar lo más inteligente