Express the area of a rectangle as a function of the width w if the width of the rectangle is twice its length

If you share 7 apples equally with 3 people then there are 2 1/3. Frost complete the sentence. Then , briefly explain what the w

8090 [49]

Answer:

The whole number 2 is the number of whole apples each person gets. The numerator 1 is the number of pieces of the remaining apple each person gets; the denominator 3 is the number of pieces the remaining apple is cut into.

8 0

2 years ago

How do you solve this triangle by using the law of sine where

mars1129 [50]

Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915

Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
sin(B) = 3.46412 / 5.2915
 sin(B) = 0.6546571451 
Angle B = 40.894 Degrees

sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees

angle C = 60 Degrees

7 0

3 years ago

need help with this problem drop down1: 6, 10drop down2: 6, 10drop down3: less than (<), greater than (>), less than or eq

Kryger [21]

From the information given,

x represents number of small boxes while y represents number of large boxes.

If each small box can hold 6 books and each large box can hold 10 books, it means that the expression for the number of books that x small boxes and y large boxes can hold is

6x + 10y

If James can pack up to 110 books, it means that the number of books that he can pack is less than or equal to 110. The inequality representing this scenario is

6x + 10y ≤ 110

10y ≤ - 6x + 110

Dividing both sides of the equation by 10, we have

y ≤ - 6x/10 + 110/10

y ≤ - 3x/5 + 11

The graph is shown below

The inequality that represents this sitaution is 6x + 10y ≤ 110

The graph of the inequality wil have solid boundary at y = - 3x/5 + 11

and will be shaded below the line.

3 0

1 year ago

The guttering hold up to 20 litre of rain water. Work out the length of guttering in meters if the diameter is 11.5cm.

bazaltina [42]

Answer:

1107.0213 cm

Step-by-step explanation:

Assuming this gutter is half a cylinder,

Volume of half a cylinder = 0.5(πr²l)²

where, Volume = 20l, π = 3.142, r = 0.5(11.5) and l = ?

But, the other units are in cm while the Volume is in liters, so let's convert the liters to cm³

It would be easier to convert the liters to m³ then to cm³ rather than converting directly. So,

1000 L = 1 m³

1 L = ?

1 ÷ 1000 = 0.001 m³

1 m³ = 1,000,000cm³

0.001 m³ = ?

0.001 x 1,000,000 = 1000 cm³

So, if 1 L = 1000 cm³

20 L = ?

20 x 1000 = 20,000 cm³

Thus, 20,000 = 0.5(3.142 x 0.5(11.5) x l)

20,000 = 0.5(3.142 x 5.75 x l)

20,000 = 18.0665l

Make l the subject and divide both sides by 18.0665

length = 1107.0213 cm

6 0

2 years ago

Eden opened a new checking account on Monday and deposited $25 into it. The table below shows the activity in her account for th

exis [7]

If I should solve i need the table given to you

5 0

3 years ago