Step-by-step explanation:
a1 = 27
r = -9/27 = -⅓
the formula :
an = a1. r^(n-1)
= 27. (-⅓)^(n-1)
= 3³(-3`¹)^(n-1)
= 3³(-3)^(1-n)
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get

Now in Δ PQT and Δ QRS we have

Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
Answer:
$954.78
Step-by-step explanation:
Since it increases by 8.5%, all you have to do is multiply 879.98 by 1.085.
879.98 * 1.085 = $954.7783 = $954.78 (you always have to round to two decimal places with money)
Answer:
<em><u>A chemist reacted 17.25 grams of sodium metal with an excess amount of chlorine gas. The chemical reaction that occurred is shown.</u></em>
<em><u>A chemist reacted 17.25 grams of sodium metal with an excess amount of chlorine gas. The chemical reaction that occurred is shown.__Na + __ Cl2 → __ NaCl</u></em>
<em><u>A chemist reacted 17.25 grams of sodium metal with an excess amount of chlorine gas. The chemical reaction that occurred is shown.__Na + __ Cl2 → __ NaClIf the percentage yield of the reaction is 88%, what is the actual yield? Show your work, including the use of stoichiometric calculations and conversion factors. </u></em>
Answer: The answer is two
Step-by-step explanation: If you look for opposites of a number its either negative or positive. So when the answer is negative, the opposite is positive and if the answer is positive, the opposite is negative.