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MA_775_DIABLO [31]
3 years ago
9

What is the GCF for 24 and 60

Mathematics
1 answer:
o-na [289]3 years ago
5 0

The GCF of 24 and 60 is 12.

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The measures of the sides of a triangle are 48, 55, and 72. Use the Pythagorean Theorem to classify
Tcecarenko [31]

Answer:

acute

Step-by-step explanation:

4 0
3 years ago
Find an equation for the plane that contains the point p(−1,3,5)p(−1,3,5) and has the normal vector n=2i+4j−3kn=2i+4j−3k.
coldgirl [10]
Given a plane:
normal vector <2,4,-3>
passes through point (-1,3,5)

The equation of the plane is
&Pi; :  2(x-(-1))+4(y-3)-3(z-5)=0
expand and simplify
&Pi; :  2x+4y-3z+5=0
6 0
3 years ago
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
Which of the following describes an angle with a vertex at Y?
trapecia [35]

Answer:

The correct options are A and B.

Step-by-step explanation:

The angles are represented by three capital letters like: ABC or DEF. In these names middle letter represent the vertex of the angle.

The order or first and last letter does effect the angle. It means

ABC=CBA

We have to find the angle  with a vertex at Y. It means the middle letter must be Y.

In option A and B the middle letter is Y, therefore both options are correct.

In option C and D the middle letter is not Y, therefore both options are incorrect.

3 0
3 years ago
Read 2 more answers
The formula for any arithmetic sequence is an = a1 + d ( n - 1), where an represents the value of the n th term, a1 represents t
hoa [83]
10, 8, 6, 4,…
  -2  -2 -2

a(n) = a₁ + d(n - 1)
a(n) = 10 - 2(n - 1)
a(n) = 10 - 2(n) + 2(1)
a(n) = 10 - 2n + 2
a(n) = -2n + 10 + 2
a(n) = -2n + 12
6 0
3 years ago
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