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2 years ago

In parallelogramMNOP , PK=5x and KN=x2−14 . What is PN ?73670100

Mathematics

2 answers:

grigory [225]2 years ago

8 0

answer
C. 70
Just took the quiz so trust me. Good luck!

lisov135 [29]2 years ago

3 0

-4.666666(so forth) or -4.7 if the problem requires you to round.

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In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,

Elina [12.6K]

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒ $\frac{Sin E}{e} =\frac{Sin F}{f}$

On substituting the values, we get

⇒ $\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}$

On applying cross multiplication, we get

⇒ $SinF=\frac{610\times Sin 70^{\circ}}{590}$

On substituting the values, we get

⇒ $=\frac{61\times 0.95969262}{59}$

⇒ $=\frac{57.3212499}{59}$

⇒ $=0.971546608$

now,

⇒ $F=Sin^{-1}(0.971546608)$

⇒ $=76^{\circ}$

4 0

1 year ago

Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.

murzikaleks [220]

CP - the cost of painting the house for Painting USA company [$]
cP = 75 + 25 * 25 = 75 + 625 = 700 [$]
cU - the cost of painting the house for Upscale Home Painting company [$]
cU = 0 + 40 * 25 = 1000 [$]

cP < cU
The most cost effective is Painting USA company.

n - number of houres required to paint the house if the same cost for both companies
75 + 25 * n = 40 * n
40 n - 25n = 75
15n = 75 /:15
n = 5
The cost of paining the house is the same for both companies if the number of houres required to paint the house is 5.

6 0

2 years ago

production for five people was as follows: 8 units, 11 units, 6 units, 12 units, 8 units. what was their average production in u

zlopas [31]

Add all the units together 8+11+6+8=45
then divide by the the number of units there are which is 5 so 45÷5 =9

4 0

1 year ago

Read 2 more answers

There is a bell at the top of a tower that is 45m high. The bell weighs 190 kg. How much potential energy does the bell have?

Slav-nsk [51]

Answer:

83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

7 0

1 year ago

Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. How many apples does each have if pudge has 1

mote1985 [20]

Answer:

<h3>Pudge has 12 morethan apples that is 24 apples and both Ace and Christi has not more than 12 apples together they has atmost 12 apples.The apples does each having is</h3><h3>P = Pudge's Apples =24</h3><h3>A = Ace's Apples =8</h3><h3>and C = Christi's Apples=4.</h3>

Step-by-step explanation:

Let P = Pudge's Apples

Let A = Ace's Apples

Let C = Christi's Apples

<h3>To find how many apples does each have if Pudge has 12 more than both Ace and Christi together:</h3>

Given that P = 3A , A = 2C and P = A + C + 12

Substitute the value for P in P = A + C + 12 we get

3A = A + C + 12

3A-A=C+12

2A=C+12

From A = 2C we have that $C=\frac{A}{2}$

Substitute the value C:

$2A=\frac{A}{2}+12$

$2A-\frac{A}{2}=12$

$\frac{4A-A}{2}=12$

$\frac{3A}{2}=12$

$3A=12\times 2$

$A=\frac{24}{3}$

Substituting the value of A in P=3A we get

P = 3(8)

Substituting the values of P and A in P = A + C + 12

$24=8+C+12$

$24=C+20$

$24-20=C$

4=C

Rewritting we get

<h3>∴ C=4 </h3><h3>Hence Pudge has 12 morethan apples that is 24 apples </h3><h3>and both Ace and Christi has not more than 12 apples together they has atmost 12 apples</h3>

7 0

1 year ago