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3 years ago

How do you solve this

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

Answer:

(AD)=SQRT(20n^2+34-4n)

Step-by-step explanation:

let the point of intersection between AC and DB be O. Then the length of OA is the same as that of OC which is=2n+5

Similarly the length of DO is the same as that of OB which is=4n-3

Now from Pathagoras theorem we get

(AD)=SQRT((DO)^2+(OA)^2)

(AD)=SQRT((4N-3)^2+(2N+5)^2)

(AD)=SQRT((16n^2+9-24n)+(4n^2+25+20n))

(AD)=SQRT(20n^2+34-4n)

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Answer:

16

Step-by-step explanation:

10 divided by 5 equals 2 (10/5=2)

2 times 8 equals 16 (2 x 8 = 16)

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3 years ago

Evaluate -15a (-3) for a= 2 and b=-3 A.) 5/24 B.) -5/24 C.) -1080 D.) -40/3

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3 years ago

The sum of, half of a number and double the number is 20. Find the number.

LiRa [457]

Answer:

The number is 8.

Step-by-step explanation:

Rewrite the word problem as an equation.

The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.

To find the number, solve the equation.

x/2 + 2x = 20

Multiply both sides by 2.

x + 4x = 40

Combine terms.

5x = 40

Divide both sides.

x = 8.

8 0

2 years ago

Read 2 more answers

Please help me

serious [3.7K]

The answer would be C.

6 0

2 years ago

A motorboat can maintain a constant speed of 15 miles per hour relative to the water. The boat makes trip upstream to a certain

Ira Lisetskai [31]

Answer:

The speed of the current is 2 miles per hours

Step-by-step explanation:

Given as :

The speed of motorboat = x = 15 miles per hour

The time taken by motorboat trip upstream = 51 minutes

The time taken by motorboat trip downstream = 39 minutes

Let The speed of the current = y miles per hour

Let The total distance cover = A miles

So ,

Speed = $\dfrac{\textrm Distance}{\textrm Time}$

So, x - y = $\dfrac{A}{51}$

I.e 15 - y = $\dfrac{A}{51}$

And x + y = $\dfrac{A}{39}$

I.e 15 + y = $\dfrac{A}{39}$

$\dfrac{x-y}{x+y}$ = $\dfrac{39}{51}$

I.e $\dfrac{x-y}{x+y}$ = $\dfrac{13}{17}$

Or, 17 × (x - y) = 13 × (x + y)

Or, 17 x - 17 y = 13 x + 13 y

Or, 17 x - 13 x = 13 y + 17 y

Or, 4 x = 30 y

Now, ∵ x = 15 miles per hour

So, 4 × 15 = 30 y

Or, y = $\dfrac{60}{30}$

∴ y = 2 miles per hour

Hence The speed of the current is 2 miles per hours Answer

8 0

3 years ago