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dalvyx [7]
2 years ago
13

When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
6 0

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = 90^{o} - 20°

                             = 70^{o}

Applying the appropriate trigonometric function, we have;

Tan θ = \frac{opposite}{adjacent}

Tan 70^{o} = \frac{x}{10}

⇒ x = 10 x Tan 70^{o}

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

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a roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decora
Arada [10]

Answer:

The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

Step-by-step explanation:

Given : A roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg.

To find : What is the mass of the decoration and of each passenger car?

Solution :

Let the mass of each passenger is x.

Let the mass of front decoration is y.

  • When the number of passenger = 6

Mass of 6 passengers and front decoration = 3500 kg.

The equation form is 6x+y=3500 ..........[1]

  • When the number of passengers = 4

Mass of 4 passengers and front decoration = 2400 kg.

The equation form is 4x+y=2400  ........[2]

Solving equation [1] and [2]

Subtract equation [2] from [1],

6x+y-4x-y=3500-2400

2x=1100

x=550

Put value in [1],

6(550)+y=3500

3300+y=3500

y=200

Therefore, The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

8 0
3 years ago
A factory can work its employees no more than 6 days a week, and no less than 2 days per
Molodets [167]

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

6 0
3 years ago
The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.
nikdorinn [45]

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

4 0
3 years ago
Graph ordered triples A(-4,7,3)
atroni [7]

Answer:

I REALLY NEED POINTSSSSSSSSSSS

Step-by-step explanation:

PLEASEEEEEEE

6 0
3 years ago
This is not a homework problem so feel free to answer its just guessing thing! If you get it right your like a super legend beca
lora16 [44]
Here, First two number represents Product of first two numbers in L.H.S.
For example, 5 * 3 = 15
Or 9 * 2 = 18

Now, second two numbers represent product of 1st & 3rd number, 
For example, 5 * 2 = 10
Or 9 * 4 = 36

Now, Last two numbers represent Sum of 4 digit-number minus middle number.

So, 7 + 2 + 5 = 143547

In short, Your Final Answer would be: 143547

Hope this helps!
7 0
3 years ago
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