x ≈ 59°
Work is on piece of paper, yet I don't have a phone. I'm certain that is the answer.
Answer:
12πx⁴, 15x⁷, 16x⁹
Step-by-step explanation:
Volume of a cylinder: πr²h
Volume of a rectangular prism: whl
Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π
3x²·(2x)² = 3·2·2·x·x·x·x
= 12·x⁴
=12x⁴
Now, we just multiply that by π.
12x⁴·π = 12x⁴π
A monomial is a 1-term polynomial, so 12x⁴π is a monomial.
Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²
5x³·3x² = 5·3·x·x·x·x·x
= 15·x⁵
= 15x⁵
Now, we just multiply that by x².
15x⁵·x²
= 15·x·x·x·x·x·x·x
= 15·x⁷
=15x⁷
A monomial is a 1-term polynomial, so 15x⁷ is a monomial.
Same steps for the last shape, another rectangular prism:
2x²·2x³·4x⁴
2x²·2x³
= 2·2·x·x·x·x·x
= 4·x⁵
= 4x⁵
Now, we just multiply that by 4x⁴.
4x⁵·4x⁴
= 4·4·x·x·x·x·x·x·x·x·x·
= 16·x⁹
= 16x⁹
A monomial is a 1-term polynomial, so 16x⁹ is a monomial.
Answer: 4x'6
Step-by-step explanation:
Simplify x5
/8. Than, Equation at the end of step 1 : x5 ——) • x)1) ÷ 4 8
Step 2 : 2.1 16 = 24 (16)1 = (24)1 = 24 2.2 x6 raised to the 1 st power = x( 6 * 1 ) = x6
Step 3 : 24x6 Simplify ———— 4
Dividing exponents : 3.1 24 divided by 22 = 2(4 - 2) = 22
which brings us to our final answer above
Let us for a few seconds nevermind there's a circle at all, so we only really have a triangle by itself.
now, EF = 18, wait a second! EF is the base of the triangle, and h = 10.725, wait a minute!! "h" is the height of the triangle.
so, what's the area of a triangle whose base is 18 and has a height of 10.725? yeap, we knew you'd know that one.
what's the length of the arcEF? well, we know the central angle of ∡FOE is 80°, well, arc's get their angle measurement from the central angle they're in, so if ∡FOE is 80°, so is arcEF then.
