Answer:
d/dt(dx/dt)=K(dx/dt)^2
Step-by-step explanation:
Since, a is proportional to v^2; and a=d/dt(dx/dt) and v= dx/dt since they are instantanious acceleration and velocity respectively.
K=(d^x/dt^2)(dt/dx)^2
Polynomial in standard form:
x⁴ + 4x³ + 10x - 7
Leading coefficient:
1
How it should be written:
x⁴ + 4x³ + 10x - 7; 1
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a triangle is 180
70+60+8x+2 = 180
Combine like terms
132 +8x = 180
Subtract 132 from each side
132+8x-132= 180-132
8x = 48
Divide each side by 8
8x/8 = 48/8
x = 6
Answer:
9 yards
Step-by-step explanation:
there are 3 feet in a yard.
27/3 = 9 yards
