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ycow [4]
3 years ago
6

Solve for k p(k + 12) = 8 – 4k

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

k =  4(2 - 3p)/(p + 4).

Step-by-step explanation:

p(k + 12) = 8 – 4k

pk + 12p = 8 - 4k

pk + 4k = 8 - 12p

k(p + 4) = 8 - 12p

k = (8 - 12p)/(p + 4)

k = 4(2 - 3p)/(p + 4).

Mumz [18]3 years ago
7 0

Solve for k:

k = 4 (2 − 3p)/p + 4

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Answer:

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3 years ago
Consider two circular swimming pools. Pool A has a radius of 22 feet, and Pool B has a diameter of 13.6 meters. Complete the des
maw [93]

Answers:

13 42 m; B; 0.57 m

Step-by-step explanation:

Data:

Pool A:  r = 22 ft

Pool B: D = 13.6 m  

Calculations:

1. Radius of Pool A

r = 22 ft × (0.305 m/1 ft) = 6.71 m

2. Diameter of Pool A

D =2r = 2 × 6.71 = 13.42 m

The diameter of Pool A is 13.42 m.

3. Compare pool diameters

The diameter of Pool B is 13.6 m.

So, the diameter of Pool <u>B</u> is greater.

4. Compare circumferences

The formula for the circumference of a circle is

C = 2πr or C = πD

Pool A: C = 2π × 6.71 = 42.16 m

Pool B: r =    π × 13.6 = 42.73 m

Pool B - Pool A = 42.73 - 42.16 = <u>0.57 m </u>

The circumference is greater by <u>0.57 m.</u>

8 0
2 years ago
Identify the conic whose equation is given.
irina1246 [14]

Answer:

Hyperbola  

Step-by-step explanation:

The polar equation of a conic section with directrix ± d  has the standard form:

r=ed/(1 ± ecosθ)

where e = the eccentricity.

The eccentricity determines the type of conic section:

e = 0       ⇒ circle

0 < e < 1  ⇒ ellipse

e = 1        ⇒ parabola

e > 1        ⇒ hyperbola

Step 1. <em>Convert the equation to standard form </em>

r = 4/(2 – 4 cosθ)

Divide numerator and denominator by 2

r = 2/(1 - 2cosθ)

Step 2. <em>Identify the conic </em>

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The polar plot of the function (below) confirms that the conic is a hyperbola.

5 0
3 years ago
Help i don’t know if my answers are correct and I need the other ones I didn’t answer to be answered to please help I need the c
qwelly [4]
Answer:
1) correct
2) correct
3) Not Congruent
4) Not Congruent
5) correct
6) Not Congruent
7) incorrect
8) SAS

Explanation:
7 is incorrect because the angle isn’t included in the sides

Hope this helps!
7 0
3 years ago
The plans for a rectangular deck call for the width to be 10 feet less than the length. Sam wants the deck to have an overall pe
sergeinik [125]

Length of deck is 40 feet

<h3><u><em>Solution:</em></u></h3>

Sam wants the deck to have an overall perimeter of 60 feet

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Let "L" be the length of rectangle and "W" be the width of rectangle

Given that plans for a rectangular deck call for the width to be 10 feet less than the length

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<em><u>The perimeter of rectangle is given as:</u></em>

perimeter of rectangle = 2(length + width)

Substituting the known values we get,

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60 = 2(2L - 10)

60 = 4L - 20

80 = 4L

L = 20

Thus the length of deck is 20 feet

7 0
3 years ago
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