Answer:
$8 ; 66 cents
Step-by-step explanation:
Given that:
Worth of penny, dimes and Nickel in cents and dollars
Nickel, n = 5 cents = $0.05
Dimes, d = 10 cent = $0.1
Penny, p = 1 cent = $0.01
Multiplying the number of each coin with its respective value ;
386(0.01) + 58(0.05) + 19(0.1)
$3.86 + $2.9 + $1.9
= $8.66
Changing it to dollar ,
$8.66 dollars = 8 dollars ;
$0.66 = 66 cents
There are several conditions where triangles can be proved similar:
AA - where two of the angles are same.
SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.
SSS - Where all sides in a triangle and the corresponding sides are in the same proportion.
In the case above, we can only use the method of SAS, as only two sides of the triangles are given.
<HMG = <JMK (vertically opposite angles)
HM/MK = 8/12 = 2/3
GM/MJ = 6/9 = 2/3
As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.
Therefore, the answer is C.yes by SAS.
Hope it helps!
The last one since it contains only fractions
Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex.
with the
term and
with the
term).


Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

Then here, we just solve for
and we have our general solution.
![y=\sqrt[3]{\frac{1}{2}x^2-x+C}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7Dx%5E2-x%2BC%7D)
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
The correct answer for the given question above would be option C. In the metric system, the one that has shown a correct equivalent of measurement is 100 centimeter = 1 meter. And in every 1 centimeter, there is 0.01 meter. The rest of the options are not correct so the answer is C.