20/100 and 0.20 because 20 is in middle of 11 and25
X=3
Solve by re-writing in exponential form using the definition of logarithm and simplifying.
Answer:
Hence, ∠ABP=10°
Step-by-step explanation:
We are given that:
AB and CD are tangents of the circle.
Now we are given that m∠ACP=10°.
Also we are given that AP and CP are radius of the given circle that means length of AP and CP are equal.
Also we know that angle opposite to the equal sides are equal that means:
∠ACP=∠PAC.
Hence , ∠PAC=10°.
Also in a triangle the sum of all the angles is 180°.
i.e. ∠ACP+∠PAC+∠APC=180°
this means that 10+10+∠APC=180°
∠APC=180-20
∠APC=180-20=160°
As AB and CD are tangents to the circles that means:
∠BAP=∠BCP=90°
Also APCB is a quadrilateral and we know that sum of all the angles of a quadrilateral=360°
Hence,
∠BAP+∠BCP+∠APC+∠ABC=360°
⇒ 90+90+160+∠ABC=360
⇒ 180+160+∠ABC=360
⇒ 340+∠ABC=360
⇒ ∠ABC=360-340=20°
also ∠ABP=(1/2)∠ABC
Hence, ∠ABP=(1/2)×20°=10°
Hence, ∠ABP=10°
Answer:
48 mm ^ 2
Step-by-step explanation:
We know we have a cube of side x, therefore the volume of that cube will be equal to:
V = x ^ 3, because it is a cube and each side is the same.
Now the derivative of the volume with respect to the length (that is, x) would be:
dV / dx = 3 * (x ^ 2)
They tell us that x takes a value of 4, replacing we have:
dV / dx = 3 * (4 ^ 2) = 48
That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.
Answer:
what is the question
Step-by-step explanation:
