For a certain manufacturer only 4/5 of the item produced are not defective. If 2,000 items are manufactured in a month, how many
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Answer:
The value of DC is 66.34.
Step-by-step explanation:
The triangles ABC and DCA are right angled triangles.
The straight line AC is a bisector for angles C and A.
The measure of ∠C is 30°.
Then the measure of angles BCA and ACD will be 15° each.
The measure of angle DAB is 150°.
Then the measure of angles DAC and BAC will be 75° each.
Now consider the right angled triangle ABC.
The measure of side AC is:
Consider the right angled triangle DCA.
The angle DAC measure 75°.
Using the trigonometric identities compute the value of Perpendicular DC as follows:
Thus, the value of DC is 66.34.
She deposited two amounts, let's say "a" and "b"
"a" earning 2% interest
"b" earning 2.5% interest
the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a
now.. .the sum of both earned interest, was $1190
so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then
solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"
"a" earning 2% interest
"b" earning 2.5% interest
the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a
now.. .the sum of both earned interest, was $1190
so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then
solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"