The volume of the right rectangular prism is 6656 cubic inches, If the rectangular prism have a length of 32", width of 52" and height of 4".
Step-by-step explanation:
The given is,
A right rectangular prism
Let, l - Length of the right rectangular prism
w - Width of the right rectangular prism
h - Height of the right rectangular prism
Step:1
From given,
l - 32 inches
w - 52 inches
h - 4 inches
Step:2
Formula for Volume of the Right rectangular prism,
.............................................(1)
Substitute the values of w, h and l in Eqn (1)
= ( 52 × 4 × 32 )
V = 6656 
Result:
Thus the volume of the right rectangular prism is 6656 cubic inches, for the given dimensions of an right rectangular prism.
<h3>
Answer: C) 4/8 = 0.5</h3>
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Explanation:
The sine ratio involves the opposite over hypotenuse.
With respect to reference angle J, the opposite leg is the one furthest from the angle. So the opposite side is KL = 4. The hypotenuse is always the longest side, always opposite the 90 degree angle, so LJ = 8 is the hypotenuse.
sin(angle) = opposite/hypotenuse
sin(J) = KL/LJ
sin(J) = 4/8
sin(J) = 0.5
The sixth term of an arithmetic sequence is 6
<h3>How to find arithmetic sequence?</h3>
The sum of the first four terms of an arithmetic sequence is 10.
The fifth term is 5.
Therefore,
sum of term = n / 2(2a + (n - 1)d)
where
- a = first term
- d = common difference
- n = number of terms
Therefore,
n = 4
10 = 4 / 2 (2a + 3d)
10 = 2(2a + 3d)
10 = 4a + 6d
4a + 6d = 10
a + 4d = 5
4a + 6d = 10
4a + 16d = 20
10d = 10
d = 1
a + 4(1) = 5
a = 1
Therefore,
6th term = a + 5d
6th term = 1 + 5(1)
6th term = 6
learn more on sequence here: brainly.com/question/24128922
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Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
Answer:
158 ribbons even half of one still counts.
Step-by-step explanation:
