Answer:
<em>Volume: Option A - Around 85.33 (in^3)</em>
Step-by-step explanation:
Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.
Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:
C = 2 * π * r - Where r = radius
Now let us substitute the known value of the circumference as to solve for r, or the radius:
(8π) = 2πr
r = 8π/2π
r = 4
Now take a look at the spherical formula for volume of a sphere:
V = 4/3 * π * r^3 - Where r is yet again the radius
Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:
V = 4/3 * π * (4)^3
V = 4/3 * π * 64
V = 256/3 * π
V = (Around) 85.33π (in)^3
*Don't forget the units
Hey there! I'm happy to help!
A <u>quadrilateral </u>is any polygon (enclosed shape) with four sides. Let's see what each of these shapes are.
- Scalene right triangle - the prefix <u>tri-</u><u> </u>means <u>three </u>(tricycle, tripod, triple, etc.<u>),</u> and all triangles have three sides, so this is not a quadrilateral.
- Obtuse scalene triangle - once again a triangle, so not a quadrilateral.
- Isosceles right triangle - would you look at that, another triangle! Not a quadrilateral.
- Hexagon - a hexagon is a six-sided polygon (<u>hex=six)</u>, so this is not a quadrilateral.
- Pentagon - a pentagon is a five-sided polygon (<u>pent=five, </u>like Pentatonix!). Not a quadrilateral
- Right trapezoid - a trapezoid is a quadrilateral with at least one pair of parallel sides!
- Venn diagram - a Venn diagram is a compare and contrast chart made of two overlapping circles (ZERO sides), so this is not a quadrilateral.
So, the only shape on your list that is a quadrilateral is 6. right trapezoid.
Have a wonderful day! :D
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
Answer:
See explanation.
Step-by-step explanation:
An expression is a <u>set of terms that are combined using addition, subtraction, multiplication, or division.</u> The following are examples of expressions:



Note: expressions do not equal anything.
In contrast, equations are <u>expressions that equal at least one term.</u> The following are examples of equations:




Note: equations <u>do</u> equal a term, as shown in the examples.
Answer: -8 and 6
Step-by-step explanation:
factors of 48: 1,2,4,6,8,12,24,48
1 x 48
2 x 24
4 x 12
6 x 8
for a negative product, one of the factors must be negative and the other positive.
for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.
and then we check:
-8 x 6 = 48
-8 + 6 = -2