Find 5/6 divided by 3. Simplify the answer and write as a mixed number if appropriate.

Answer:

Cos(π/2 - θ) = A

Step-by-step explanation:

We know that:

Sin(θ) = A

And we want to find the value of Cos(π/2 - θ)

Here we can use the cosine relationship:

Cos(a - b) = Cos(a)*Cos(b) + Sin(A)*Sin(B)

Then:

Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ)

We know that:

Cos(π/2) = 0

Sin(π/2) = 1

Then:

Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ) = 0*Cos(θ ) + 1*Sin(θ)

                    = 1*Sin(θ) = A

Cos(π/2 - θ) = A

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

Answer:

B. $700

Step-by-step explanation:

The answer is A because.....

Step 1: Find the 7% of 2000.

a.) 7% of 2000 is 140.

b.) Check- So: 140/2000= 0.07 (7%)

Step 2: Multiply 140x5 which equals $700.

Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.

I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)

Answer:

c

Step-by-step explanation:

Answer:

432 is the blank

Step-by-step explanation:

I just did this problem

Answer:

15 blocks

Step-by-step explanation:

The distance between the two points on the grid is 15 units, so they're 15 blocks away.

(ґ◎♭łøϰ  ❡їḟт¢αґⅾ  ωнεη)

(♭ґαḯηłḯℯ﹩⊥  ẘℌℯη)

kek

Answer:

60m²

Step-by-step explanation:

Area of the trapezoid attached = 1/2(a+b)*h

a and b are the opposite sides

h is the height

Given

a = 18m

b = 12m

h = 4m

Substitute

Area of the trapezoid = 1/2(18+12)*4

Area of the trapezoid = 1/2 * 30 * 4

Area of the trapezoid  = 120/2

Area of the trapezoid  = 60m²

Hence the area of the lawn is 60m²

Answer:

Answer:

1/12

Step-by-step explanation:

Answer:

Dont say its a test youll get reported and banned by brainly

Step-by-step explanation: also the answer is:  3/5 x 3/5 = 925 = 0.36

Answer: 1/1

Step-by-step explanation:

1/1 because it = 1 so that means 3/5 x 1/1 is 3/5

Answer:

240

Step-by-step explanation:

Answer:

26/50 bc she did it 26 out of 50 times ??

Seems like there is a correction in the first question (RHS is tanx.tany)

(i) For convenience: let tanx = a ; tany = b

Thus, tanx + tany = a + b

Moreover, cotx = 1/tanx = 1/a ; coty = 1/b

Thus,

cotx + coty = 1/a + 1/b = (a + b)/ab

Hence,

=> (tanx + tany)/(cotx + coty)

=> (a + b) / { (a + b)/ab }

=> ab(a + b)/(a + b)

=> ab => tanx.tany , proved.

(ii) For convenience: let sinx = a ; cosx = b

As we know, sin²x + cos²x = 1 => a²+b²=1

=> (a³ + b³)/(a + b)

=> (a + b)(a² + b² - ab) / (a + b)

=> (a² + b² - ab)

=> 1 - ab => 1 - sinx.cosx , proved

(iii): let x/2 = A

=> tan(x/2) + cosx.tan(x/2)

=> tanA + cos2A.tanA

=> tanA [1 + cos2A]

=> tanA (2cos²A) {1+cos2A = 2cos²A}

=> (sinA/cosA) (2cos²A)

=> sinA (2cosA)

=> 2sinAcosA

=> sin2A

=> sin2(x/2)

=> sinx proved

Letting x/2 = A is not mandatory. I did it to decease words*(in a line).

Indentities used:

• sin²A + cos²A = 1

• (a³ + b³) = (a + b)(a² + b² - 1)

• 1 + cosA = 2 cos²(A/2)

• tanA = sinA/cosA.

• 2sinAcosA = sin2A

Answer:jeans = x = 16.85

shirts = y = 8.95

Step-by-step explanation:

That’s the answer bud

Answer:

5.063 seconds

Step-by-step explanation:

Use a graphing calculator to graph, then use the table functions to solve for 1304

or say

1304= rest of equations and solve for X

Answer:

(-21, -38)

Step-by-step explanation:

Given the simultaneous equation

10x-6y = 18 ... 1

9x+6y=39 ...2

Using the Elimination method

Subtract

10x - 9x = 18 - 39

x = -21

substitute x = -21 into 1;

From 1:

10x-6y = 18

10(-21)-6y = 18

-210 - 6y = 18

-6y = 18+210

-6y = 228

y = 228/-6

y =-38

Hence the solution to the system is (-21, -38)

Da.mn that sucks for you

Answer:

D

Step-by-step explanation:

please give brainliest

Answer:

A

Step-by-step explanation:

Because there is 4 packs that have 72 in total and after the picnic is done there is 48 plates left.

Answer:

ok

Step-by-step explanation:

Answer:

this is a nonlinear function because the point do not have a steady rate of change for example y went up one and x went up 1 but from the next set of pairs y went up one and x went up three so this is a nonlinear function

9514 1404 393

Answer:

  58.5 ft by 39 ft

Step-by-step explanation:

Let x represent the length of the two horizontal segments. Then the three vertical segments will be ...

  (234 -2x)/3

The total enclosed area is the product of these dimensions:

  A = (x)(234 -2x)/3

  A = (2/3)(x)(117 -x)

This is the equation of a downward-opening parabola with zeros at x=0 and x=117. The maximum of the parabola will be on the line of symmetry, halfway between these zeros. The value of x there is ...

  x = (0 +117)/2 = 58.5

The lengths of the vertical segments are ...

  (2/3)(117 -58.5) = 2/3(58.5) = 39

The dimensions of the region enclosing the maximum area are 58.5 ft by 39 ft. The additional vertical segment is 39 ft.

_____

Comment on maximum area problems

You may have noticed that the total length of the fence allocated to the long sides (2×58.5 = 117) is half the total length of fence and is equal to the total length of fence allocated to the short sides (3×39 = 117).

This relationship is true in all rectangular fencing problems where the area is being maximized for a given total fence length. It doesn't matter how many partitions there are in either direction: the total of horizontal lengths is equal to the total of vertical lengths.

Answer: dog human

Step-by-step explanation: dog eat dog food

Answer:

B. (b x d) - c

Step-by-step explanation:

i. -(a x d) + b

= -(6 x [tex]\frac{1}{2}[/tex]) + 8

= -3 + 8

= 5

ii. (b x d) - c

(8 x [tex]\frac{1}{2}[/tex]) - 4

= 4 - 4

= 0

iii. 2(b x f) + a

= 2(8 x [tex]\frac{1}{4}[/tex]) + 6

= 4 + 6

= 10

iv. (a x e) - c

= (6 x [tex]\frac{1}{3}[/tex]) - 4

= 2 - 4

= -2

Thus, the expression which is equivalent to 0 is that of option B.

Answer:

I.d.k I think 1 :)

Step-by-step explanation:

have a great day

Answer:

the last answer... i hope this helps

Step-by-step explanation:

Answer:

Twice as many students had 3 brothers or sisters as students who had 1 brother or sister

Step-by-step explanation:

Im certain. Pls mark brainliest

50/50 since there are 2 sides, and 1 is heads

---

hope it helps

Answer:

30 thousands, or 30,000 units.

Step-by-step explanation:

Since the question refers to 10 x 3 thousands, to determine how many thousands are in the answer, the following calculation must be performed:

10 x 3 = 30

So there are 30 thousand in the answer, which is equal to 30,000.

Answer:

x = 90 degrees

Step-by-step explanation:

the above figure is of a circle, so the sum of the measures of angles will be 360 degrees.

measure of arc = measure of the angle inscribed by the arc

therefore, the measure of arc JK will also be x...... ( vertically opposite angles)

therefore, x + x + 30 + (2x - 30) = 360 .....(1)

therefore, 2x + 30 + 2x - 30 = 360

therefore, 4x = 360.....( as -30 and +30 will be cancelled)

therefore, x = 90 degrees

Cross correction:-

by putting in x = 90 in (1)

90 + 90 + 30 + 2*90 - 30 = 360

180 + 30 + 180 - 30 = 360

180 + 180 = 360

so, x= 90 degrees is verified.

Answer:

Only 1 juice is listed.....

So apple juice has the greatest percent of water

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Just did it on iready