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3 years ago

Geometry - Will give 5 stars + Thanks!

Mathematics

1 answer:

Fynjy0 [20]3 years ago

5 0

Answer:

Step-by-step explanation:

We know:

The diagonals in a parallelogram divide by halves.

Therefore KG = UG and DG = CG.

We have

KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2

Substitute:

5y - 8 = 3y add 8 to both sides

5y = 3y + 8 subtract 3y from both sides

2y = 8 divide both sides by 2

y = 4

---------------

4x - 7 = x + 2 add 7 to both sides

4x = x + 9 subtract x from both sides

3x = 9 divide both sides by 3

x = 3

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Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or

Eddi Din [679]

Answer:

1200

Explanation:

Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:

nCr = n! / r! * (n - r)!

where n= total number of items

r= number of items chosen at a time

Combinations are used when the order of events do not matter in calculating the outcome.

We calculate using the formula:

(30×20×12)÷3!=1200

There are therefore 1200 ways for the three distinct items to not be in same row or column

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3 years ago

(3x/2)^4 any answers

Anika [276]

$\bf \left( \cfrac{3x}{2} \right)^4\implies \left( \cfrac{(3x)^4}{2^4} \right)\implies \left( \cfrac{3^4x^4}{2^4} \right)\implies \cfrac{81x^4}{16}$

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3 years ago

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55.04 is what percent of 21.5

Nikolay [14]

55.04 is 256% of 21.5
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4 0

2 years ago

Read 2 more answers

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12345 [234]

Answer:

$100\pi$

Step-by-step explanation:

Total Surface Area of cylinder = Lateral Surface Area + Area of both circle bases.

Lateral Surface Area = Circumference of Circle $\times$ Height

Lateral Surface Area = $(\pi \times2\times5) \times 5=50\pi$

Area of one circle base: $\pi (5)^{2} =25\pi$

Area of both circle bases: $25\pi \times2=50\pi$

Total Surface Area = $50\pi +50\pi =100\pi$

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3 years ago

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1. Solve log x=4

Helen [10]

1. A. 10,000

Explanation: 10^4 = 10,000

2. x = -12

Explanation: see photo

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3 years ago