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2 years ago

Given: LMNB is a square, LM = 20cm, P∈ LM , K ∈ PN , PK = 1 5 PN, LP = 4 cm Find: Area of LPKB

Mathematics

1 answer:

Bad White [126]2 years ago

6 0

Answer:

80 cm²

Step-by-step explanation:

Trapezoid LPKB has area ...

A = (1/2)(b1 +b2)h = (1/2)(4 +20)(20) = 240 . . . . cm²

Triangle BPN has area ...

A = (1/2)bh = (1/2)(20)(20) = 200 . . . . cm²

Triangle BKN has a height that is 4/5 the height of triangle BPN, so will have 4/5 the area:

ΔBKN = (4/5)(200 cm²) = 160 cm²

The area of quadrilateral LPKB is that of trapezoid LPNB less the area of triangle BKN, so is ...

240 cm² - 160 cm² = 80 cm²

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Jeri finds a pile of money with at least $\$200$. If she puts $\$50$ of the pile in her left pocket, gives away $\frac23$ of the

Marizza181 [45]

Answer:

The possible values of the number of dollars in the original pile of money is ≥ $200 but < $350

Step-by-step explanation:

Here we have, pile of money ≥ $200

Amount in put the left pocket = $50

Fraction given away = 2/3 of rest of pile ≥ 2/3×150 ≥ $100

Amount put in right pocket = ≥ $150 - $100 ≥ $50

Total amount remaining with Jeri = $50 +≥ $50 ≥ $100

Also original pile - $200 < $100

Therefore where maximum amount given away to have more money = $200 we have

2/3× (original pile - 50) = $200

Maximum amount for original pile = $350

Therefore the possible values of the number of dollars in the original pile of money is ≥ $200 but < $350.

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2 years ago

The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each

Art [367]

Answer:

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT = Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

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2 years ago

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A model spaceship costs $15.99 before tax. The tax on the model spaceship is 8%. What is the total cost of the model spaceship?

yan [13]

Model spaceship cost = $15.99
Tax % = 8%

Amount of tax = 15.99*0.08 = $1.279

Amount after tax = $15.99+$1.279 = 17.2692
After rounding-off to the nearest cent, it would be $17.27

So, your final answer is $17.27

Hope this helps!

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2 years ago

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A baker determined the annual profit in dollars from selling pies using p n( ) = 52n − 0.05n2 , where n is the number of pies so

miss Akunina [59]

Answer:

<u>The annual profit if the baker sells 400 pies would be US$ 12,800</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Annual profit in dollars from selling pies using p n( ) = 52n − 0.05n² , where n is the number of pies sold

Annual sales of the baker = 400 pies

2. Let's solve p for 400 pies