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tamaranim1 [39]
2 years ago
11

The diagonals of a rectangle have length 12 and intersect in a 40 degree angle. Find the length and width rounded to the nearest

tenth.
Mathematics
1 answer:
Tamiku [17]2 years ago
4 0

Answer:

Length is 7.7 and width is 9.2

Step-by-step explanation:

The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees

Length L = dsin theta

Width W = d coos theta

d is the length of the diagonal

Given

d  = 12

theta = 40°

Substitute

Length = 12sin40°

Length = 12(0.6428)

Length = 7.7135

Length ≈ 7.7

Width = 12cos 40

Width = 12(0.7660)

Width = 9.192

Width = 9.2

Hence the length is 7.7 and width is 9.2

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Suppose that 10 sophomores, 3 juniors, and 10 seniors are candidates for a prestigious mathematics award of which three will be
faltersainse [42]

Answer:

1771 possible ways

Step-by-step explanation:

In this case, we need to know first how many candidates are in total:

10 + 3 + 10 = 23 candidates in total.

Now, we need to choose 3 of them to receive an award. In this case, we have several scenarios, but as it's an award we can also assume that the order in which the candidates are chosen do not matter, so, the formula to use is the following:

C = m! / n! (m - n)!

Where m is the total candidates and n, is the number of candidates to be chosen. Replacing this data we have:

C = 23! / 3! (23 - 3)!

C = 2.59x10^22 / 6(2.43x10^18)

C = 1771

So we have 1771 ways of choose the candidates.

7 0
2 years ago
Which explanation provides the best real-world scenario of the graph? If an object is dropped from a height of 38 feet, the func
ikadub [295]
The equation that models the movement of the object is:
 h (t) = (1/2) * (a) * (t ^ 2) + v0 * t + h0

 Where,
 t: time
 a: acceleration due to gravity
 v0: initial speed
 h0: initial height
 Suppose that the object falls with zero initial velocity and from a height of 38 feet.
 The equation that models the problem is:
 h (t) = -16t ^ 2 + 38

 Answer:
 
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
5 0
3 years ago
Don't know this please help
nikitadnepr [17]
I would say answer number 2
6 0
2 years ago
when two trucks traveling in different directions approach each an intersection at the same time , on of the trucks must change
torisob [31]

This happens because the trucks move in one-dimension, while the airplanes move in 3 dimensions.

<h3></h3><h3>Why the trucks need to change direction or speed while the airplanes don't?</h3>

Well, the trucks move along a street. Thus, we can think that this is an one-dimensional kind of motion.

Where the trucks can go forward, backward, or get out of the line.

In the case of the airplanes, they can move actually in 3 dimensions (the airplane can go upwards, downwards, left, right, etc).

Now, in the one-dimensional case of the trucks there are only two directions (which are opposite) so if the trucks travel in different directions, then the trucks travel into each other, which would cause the collision.

While in the case of the airplanes more directions exists, so there isn't (necessarily) a collision.

If you want to learn more about motion:

brainly.com/question/26048315

#SPJ1

4 0
1 year ago
Pls help me with A, B, C
Mariulka [41]

Answer:

a. is 3

Step-by-step explanation:

(1/3)* (6+3) = 3

6 0
3 years ago
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