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Alexandra [31]
2 years ago
5

6.

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

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Elana goes for a long walk this graph shows her time and distance traveled throughout the walk
belka [17]

Answer: 4 Mph.

Step-by-step explanation: ...

4 0
2 years ago
What is the area of this triangle 20 POINTS
Usimov [2.4K]

Answer:

It's 1/2*DB*AC

Step-by-step explanation:

7 0
3 years ago
A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it c
777dan777 [17]

Answer:

1250 ft^{2}

Step-by-step explanation:

We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.

Let the length of the rectangle be 'X' feet and width be 'Y' feet.

As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.

As, X + 2Y = 100 → X = 100 - 2Y

Now, the area of the rectangle = XY = X × ( 100 - 2Y ).

i.e Area of the rectangle = -2Y^{2} +100Y.

The general form of a quadratic equation is y=ax^{2}+bx+c.

The maximum value of a quadratic equation is given by x=\frac{-b}{2a}.

Therefore, the greatest value of -2Y^{2} +100Y is at Y = \frac{-100}{2 \times -2} = \frac{-100}{-4} = 25.

Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.

Hence, the area of the rectangle is XY = 50 × 25 = 1250 ft^{2}.

3 0
3 years ago
HELP ASAP TIMED! GIVING BRAINLIEST​
Keith_Richards [23]

Answer:

4680

Step-by-step explanation:

65% of 7200 is 4680

3 0
3 years ago
Read 2 more answers
What are the solution to the equation -3
umka21 [38]

Answer:

38.5

Step-by-step explanation:

Lets say, first number = x


Second number = 3x+7


Total = 49



(x)+(3x+7)= 49


4x+7 = 49


4x = 42


x = 42/4


x= 10.5



x= 10.5


3x+7 = 3(10.5)+7 = 38.5



Hope this helps!!

3 0
3 years ago
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