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3 years ago

The perimeter of kite LMNO is 80 feet. Side MN = 3x + 5 and side NO = x – 7 . What is the length of NO?

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer:

The length of NO is $14\ ft$

Step-by-step explanation:

step 1

Find the value of x

we know that

The Kite has two pairs of equal-length adjacent (next to each other) sides.

The perimeter is equal to

$P=2[MN+NO]$

$P=80\ ft$

$80=2[MN+NO]$

$40=[MN+NO]$

substitute the values and solve for x

$40=[(3x+5)+(x-7)]$

$40=[4x-2]$

$4x=42$

$x=21\ ft$

step 2

Find the length of NO

$NO=(21-7)=14\ ft$

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The price of a company's share dropped by 3.50% by the end of the first year, down to $44.25. During the second year the price o

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Answer:

a. $45.86

b. $43.87

c. Percentage change = -4.40%)

Step-by-step explanation:

a. Let the price of share at the beginning of first year be represented with X

Now, Price of company's share dropped by 3.50% at the end of first year.

So, Price of share at the end of first year = x - 3.5% of x

= x - 0.035x

= 1x - 0.035x

= 0.965x

But it is equal to $44.25

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b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99 = $43.87

c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100

= (1.99/45.86)*100

= 0.04339294 * 100

= 4.40%

Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)

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2 years ago

Rewrite the following equation in slope-intercept form<br> y-6=-9(x-5)

gogolik [260]

Answer:

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Step-by-step explanation:

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3 years ago

What is the solution to the system of equations graphed below?<br><br> y=x+3<br> y=3x+1

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Answer:

(1, 4)

Step-by-step explanation:

y=x+3

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2 years ago

Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is rea

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Answer:

a) Jean b) Jean c) Vincent d) Jean

Step-by-step explanation:

We are given the following information in the question.

Vincent can bake 10 cakes or make 5 pizzas

Jean can bake 12 cake or make 8 pizzas.

a) Absolute advantage of baking cake

Jean has the absolute advantage of baking cake as he can bake more cakes as compared to Vincent.

b) Absolute advantage of making pizza

Jean has the absolute advantage of making pizza as he can make more pizzas as compared to Vincent.

In order to find comparative advantage, we find the opportunity cost which can be defined as:

$\text{Opportunity Cost} = \displaystyle\frac{\text{What one sacrifices}}{\text{What one gains}}$

c) Comparative advantage in baking cakes

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The less is the opportunity cost the better, hence, Vincent has comparative advantage in baking cakes.

d) Comparative advantage in making pizzas

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The less is the opportunity cost the better, hence, Jean has comparative advantage in making pizzas.

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2 years ago

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