Answer:
x=60
Step-by-step explanation:
Given that ,
HCF of 140 and x=20,
LCM of 140 and x =420.
Solution:
It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:
140*x= HCF*LCM
Putting in the values provided,
140*x=20*420
140*x=8400
x=8400/140
x=60
Hence the variable x is 60.
F(x) = 2ln(x) + c [integral of 1/x is ln x]
f(e^(1/2)) = 2ln(e^(1/2)) + c = 5
2(1/2) + c = 5 [ln(e^a) = a]
1 + c = 5
c = 4
So:
f(e) = 2ln(e) + 4 = 2 + 4 = 6
<span>Answer is 6.
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Answer:
<u>A 160</u>
Step-by-step explanation:
5.35x+182.90=750
Well, when you subtract 182.9 on both sides, you get 567.1.
567.1 divided by 5.35 equals 106 so, A would be correct.
First step: name the sides according to geometry standards, namely, the sides are named the same lowercase letter as the opposing angle. A revised diagram is shown.
Second step: we need to know the relationships of the trigonometric functions.
cosine(A)=cos(63) = adjacent / hypotenuse = AC/AB .................(1)
sine(A)=sin(63) = opposite / hypotenuse = CB/AB .......................(2)
We're given AB=7, so
using (1)
AC/AB=cos(63)
AC=ABcos(63)=7 cos(63) = 7*0.45399 = 3.17993 = 3.180 (to three dec. figures)
Using (2)
BC/AB=sin(63)
BC=ABsin(63) = 7 sin(63) = 7*0.89101 = 6.237 (to three dec. figures).