Use the formula P = 2L + 2W to find the width of of a rectangle when the length is 34 ft and the perimeter is 112 ft.

Answers

Answer 1

Answer:

Using the formula P = 2L + 2W, we were able to solve for the width of a rectangle with a length of 34 ft and a perimeter of 112 ft. The width of the rectangle is 22 ft.

To find the width of the rectangle, we need to rearrange the formula P = 2L + 2W to solve for W.
Starting with P = 2L + 2W, we can isolate W by subtracting 2L from both sides:
P - 2L = 2W

Now we divide both sides by 2 to isolate W:
W = (P - 2L) / 2

Substituting the given values, we get:
W = (112 - 2(34)) / 2
W = (112 - 68) / 2
W = 44 / 2
W = 22

Therefore, the width of the rectangle is 22 ft.

In summary, using the formula P = 2L + 2W, we were able to solve for the width of a rectangle with a length of 34 ft and a perimeter of 112 ft. The width of the rectangle is 22 ft.

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Find the Surface Area and Volume of Sphere with radius 12 cm.

Answers

$Radius:r=12cm\n\nSurface\ area:\nA=4\pi r^2\to A=4\pi\cdot12^2=4\pi\cdot144=576\pi\ (cm^2)\n\nVolume:\nV=(4)/(3)\pi r^3\to V=(4)/(3)\pi\cdot12^3=(4)/(3)\pi\cdot1728=4\pi\cdot576=2304\pi\ (cm^3)$

The surface area of a sphere is 4 pi R² = 576 pi = 1,809.6 cm² (rounded)

The volume of a sphere is 4/3 pi R³ = 2,304 pi = 7,238.2 cm³ (rounded)

John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10.What is the probability that he either hits a Bull’s eye or scores 10 points?
a. 1/3
b. 2/3
c. 3/5
d. 2/5
e. 1/4

Answers

The correct answer for the question that is being presented above is this one: "d. 2/5." John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10. The probability that he either hits a Bull's eye or scores 10 points is 2/5

Answer: The correct option is (d). $(2)/(5).$

Step-by-step explanation: Given that John is playing a game of darts. The probability that he throws a dart into the centre of the dart board (the Bull’s eye) is $(1)/(10)$ and the probability that he throws the dart into the 10-point ring is $(3)/(10).$

We are to find the probability that he either hits a Bull’s eye or scores 10 points.

Let, 'A' and 'B' represents the events that John throws the dart into a Bull's eye and 10-point ring respectively.

Then, according to the given information, we have

$P(A)=(1)/(10),~~P(B)=(3)/(10),~~~P(A\cup B)=?$

Since John cannot throw the dart into the Bull's eye and 10 point ring together, both the events are independent of each other.

Therefore,

$P(A\cap B)=0$

From the theorems of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=(1)/(10)+(3)/(10)-0=(4)/(10)=(2)/(5).$

Therefore, the probability that John either hits a Bull’s eye or scores 10 points is $(2)/(5).$

Thus, (d) is the correct option.

What is the volume of the cube? A. 2744 mm3

B. 42 mm3

C. 1176 mm3

D. 196 mm3

Answers

If you would like to know the volume of the cube, you can calculate this using the following steps:

a^3 = 2744 mm^3 ... a = 14 mm
b^3 = 42 mm^3 ... b = 3.48 mm
c^3 = 1176 mm^3 ... c = 10.56 mm
d^3 = 196 mm^3 ... d = 5.81 mm

The correct result would be A. 2744 mm^3.

the correct answer is A.

Wheeler Company can produce a product that incurs the following costs per unit: direct materials, $10.30; direct labor, $24.30, and overhead, $16.30. An outside supplier has offered to sell the product to Wheeler for $46.88. If Wheeler buys from the supplier, it will still incur 40% of its overhead cost. Compute the net incremental cost or savings of buying.

Answers

Answer:

Incremental cost of buying = $2.50

Step-by-step explanation:

Cost per unit;

Direct materials = $10.30

Direct labor = $24.30

Overhead = $16.30

Total Overhead cost = 10.30 + 24.30 + 16.30

= $50.90

Where the item is purchased,

Total cost = $46.88 + (40% × 16.30)

= $46.88 + $6.52

= $53.40

Cost difference = $53.40 - $50.90

= $2.50

There is an incremental cost of buying. This amounts to $2.50

In which quadrants is the ordinate positive?a)I and II
b)II and III
c)I and IV

Answers

The ordinate is the y element in an ordered pair in a Cartesian coordinate system. The quadrants in which the ordinates are positive should be at quadrants I and II. Therefore, the correct answer from the choices listed above is option A.

Answer:

The Answer Is A

Step-by-step explanation:

If you mow 24 lawns and earn 10.50 for each lawn,your total earing are?

Answers

If one lawn is 10.50, then to find 24 lawns you times it by the earnings of one lawn (i.e. 10.50)
The sum would be: 10.50 x 24
The answer to that would be 252.00.
(Remember to add in the currency sign in front of the answer (eg. £ $ etc)

Answer:

$252.00

Step-by-step explanation:

10.50 × 24

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