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MatroZZZ [7]
3 years ago
5

6! = (4! x (6-4)!) =​

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

<h2>6! = 720</h2><h2>(4! × (6 - 4)!) = 48</h2>

Step-by-step explanation:

n! = 1 · 2 · 3 · 4 · ... · n

6! = 1 · 2 · 3 · 4 · 5 · 6 = 720

(4! × (6 - 4)!) = (1 · 2 · 3 · 4 × 2!) = 24 × 1 · 2 = 24 × 2 = 48

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What is the equation of the circle with a diameter of 6 units and a center located at (2, −5) on the coordinate plane? a A b B c
Nastasia [14]

Answer:

(x-2)^2+(y+5)^2=36

Step-by-step explanation:

Recall that the equation of a circle of radius R centered at (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

For your particular case: R = 6, x_0 = 2, and y_0 = -5, therefore the equation becomes:

(x-x_0)^2+(y-y_0)^2=R^2\\(x-2)^2+(y-(-5))^2=6^2\\(x-2)^2+(y+5)^2=36

6 0
3 years ago
What is the area of the trapezoid with height 10 units? Enter your answer in the box. units2 A rectangle with a length of 5 and
LenaWriter [7]
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units.  If you mean the bases of the triangles then the area is 170 sq. units.

If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:

10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6

This means we have two triangles and a rectangle.  The area of the rectangle is 5(10) = 50 sq. units.  The area of each triangle is 1/2(6.6)(10) = 33.  Adding all 3 together we have:

50+33+33 = 116 sq. units.

If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:

50+60+60 = 170 sq. units.
3 0
2 years ago
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Gnesinka [82]

Answer:

540

Step-by-step explanation:

No matter what the shape, the total amount of degrees in the interior angles in a pentagon is 540. Hope this helps!

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3 years ago
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