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Black_prince [1.1K]
3 years ago
6

- 200 Solve it i need help

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

-10\sqrt{2}

Step-by-step explanation:

-\sqrt{200}

To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5)

In the end, the number of times each prime divides the original integer becomes its exponent.

Prime number 2 to the power of 3 equals 8, and 5 to the power of 2 equals 25.

-\sqrt{2^{3}*5^{2}  }

We need to rewrite certain factors as the product of two factors in order to remove them from the radical.

The exponent of the first factor in such a product will be equally divided by the radical index, allowing us to eliminate it from the radical.

Here, because their exponents are evenly divided by the radical index, we will be able to eliminate the following components from the radical:

2^{2} and 5^{2}

-\sqrt{2^{2} *2*5^{2} }

-10\sqrt{2}

<u>OAmalOHopeO</u>

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See question in image and show workings​<br><br>Note : 1 nautical mile = 1.86km
ycow [4]

Answer:

a)

AB is on the latitude 30°N.

<u>Find AB:</u>

  • AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km

BC is along longitude 35°W

<u>Find BC:</u>

  • BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km

<u>Total distance traveled:</u>

  • 6482.15 + 5585.77 = 12067.92 km

<u>Convert the distance to nautical miles:</u>

12067.92/1.86 = 6488.13 nautical miles

b)

<u>Find the average speed:</u>

  • 6488.13/22 = 294.92 nautical miles / hour

<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>

3 0
2 years ago
What is the actual slope of this line?
-BARSIC- [3]

Answer:

  -4

Step-by-step explanation:

The line has a "rise" between the two points of -4 units for a "run" of +1 unit. The slope is the ratio ...

  m = rise/run = -4/1 = -4.

The slope is -4.

_____

<em>Additional comment</em>

A "whole number" must be non-negative. Here, the slope is negative. If you're restricted to "a fraction or a whole number", then the appropriate answer is the fraction -4/1. We suspect that "integer" is meant where "whole number" is used.

5 0
3 years ago
Sonia had $37 in her checking account. She then spent $52 on school supplies. What is the current balance of her checking accoun
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Answer:

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Step-by-step explanation:

37-52

4 0
3 years ago
Read 2 more answers
I just need no. a please help me to prove this. ​
OleMash [197]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    and         cos A = cos B · cos C

scratchwork:

  A + B + C = π

               A = π - (B + C)

         cos A = cos [π - (B + C)]                              Apply cos

                    = - cos (B + C)                                    Simplify

                    = -(cos B · cos C - sin B · sin C)          Sum Identity

                    = sin B · sin C - cos B · cos C               Simplify

cos B · cos C = sin B · sin C - cos B · cos C               Substitution

2cos B · cos C = sin B · sin C                                        Addition

                     2=\dfrac{\sin B\cdot \sin C}{\cos B \cdot \cos C}                                     Division

                     2 = tan B · tan C

\text{Use the Sum Identity:}\quad \tan(B+C)=\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}

<u>Proof LHS → RHS</u>

Given:                              A + B + C = π

Subtraction:                     A = π - (B + C)

Apply tan:                  tan A = tan(π - (B + C))

Simplify:                               = - tan (B + C)

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Substitution:                        = -(tan B + tan C)/(1 - 2)

Simplify:                               = -(tan B + tan C)/-1

                                            = tan B + tan C

LHS = RHS:   tan B + tan C = tan B + tan C  \checkmark

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Answer:

5 1/4

Step-by-step explanation:

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