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Nastasia [14]
2 years ago
13

7 An outfielder throws a baseball toward the infield at an angle of 25 degrees to the horizontal. The initial velocity of the th

row is 12 m/s. Find the horizontal and vertical velocity components
Mathematics
1 answer:
AveGali [126]2 years ago
6 0

The horizontal and vertical components of the ball's velocity vector are, respectively,

v_x=\left(12\dfrac{\rm m}{\rm s}\right)\cos25^\circ\approx10.9\dfrac{\rm m}{\rm s}

and

v_y=\left(12\dfrac{\rm m}{\rm s}\right)\sin25^\circ\approx5.07\dfrac{\rm m}{\rm s}

(I've rounded to 3 significant digits just because...)

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Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>                                   Given integers </em>a, b<em>, find </em>d=gcd(a,b)<em />

Here is an outline of the steps:

  1. Let a=x, b=y.
  2. Given x, y, use the division algorithm to write x=yq+r.
  3. If r=0, stop and output y; this is the gcd of a, b.
  4. If r\neq 0, replace (x,y) by (y,r). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

3 0
2 years ago
Find two positive numbers whose difference is 17 and whose product is 1410
Dafna11 [192]

Answer:

30 and 47

their difference is 17 and when multiplied equal 1410

4 0
3 years ago
Solve similar triangles (basic)
fiasKO [112]

Answer:

<em>T </em><em>=</em><em> </em><em>1</em><em>6</em>

Step-by-step explanation:

As triangles are similar

AB/DE = BC/EF = AC/DF

13.5/18 = 6/4 = 12/T

3/4 = 3/4 = 12/T

3/4 = 12/T

T = 12×4/3

T = 16

4 0
2 years ago
Find the area of the figure. Use 3.14 for A. N 8 m 12 m<br>​
dsp73

Answer: <u>105m²</u>

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = \frac{bh}{2\\}

so, A = \frac{6(8)}{2} (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

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3 years ago
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Please asap!!!!!!!!!!
irga5000 [103]

Answer:

I bellieve it is 107sq. ft.

Step-by-step explanation:

8 0
3 years ago
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